GLENCOE MATHEMATICS

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Grade

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6

Includes: • New Mexico Mathematics Content Standards for Grade 6 • Student Recording Chart • Diagnostic Test • Practice Questions for Each Standard • Practice Test

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Test-Taking Tips • Go to bed early the night before the test. You will think more clearly after a good night’s rest. • Read each problem carefully and think about ways to solve the problem before you try to answer the question. • Relax. Most people get nervous when taking a test. It’s natural. Just do your best. • Answer questions you are sure about first. If you do not know the answer to a question, skip it and go back to that question later. • Think positively. Some problems may seem hard to you, but you may be able to figure out what to do if you read each question carefully. • If no figure is provided, draw one. If one is furnished, mark it up to help you solve the problem. • When you have finished each problem, reread it to make sure your answer is reasonable. • Become familiar with a variety of formulas and when they should be used. • Make sure that the number of the question on the answer sheet matches the number of the question on which you are working in your test booklet.

Copyright © by The McGraw-Hill Companies, Inc. All rights reserved. Except as permitted under the United States Copyright Act, no part of this book may be reproduced in any form, electronic or mechanical, including photocopy, recording, or any information storage or retrieval system, without prior written permission of the publisher. Send all inquiries to: Glencoe/McGraw-Hill 8787 Orion Place Columbus, OH 43240-4027 ISBN-13: 978-0-07-875955-0 ISBN-10: 0-07-875955-2

Mastering the New Mexico Standards-Based Assessment (NMSBA): Diagnose-Prescribe-Practice Workbook, Grade 6

Printed in the United States of America. 1 2 3 4 5 6 7 8 9 10 079 15 14 13 12 11 10 09 08 07 06

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Contents Road Map to NMSBA Success . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iv Student Recording Chart . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v New Mexico Mathematics Content Standards, Benchmarks, and Performance Standards, Grade 6 . . . . . . . . . . . . . . . . . . . . . . . . . vi Test Practice Diagnostic Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Standards Practice Number and Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 Geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 Measurement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 Data Analysis and Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Test Practice Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68

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Road Map to NMSBA Success

Diagnose

Strengths and Weaknesses

• Take the Diagnostic Test on pages 1–11. This test will help you identify any weaknesses you may have as you prepare to take the test. • Complete the Student Recording Chart found on page v, using an × for questions you answered incorrectly.

Ret & Peachi rac ng tice

Prescribe

a Plan for Improvement

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Practice

Test-Taking Skills

After you have completed the practice pages, take the Practice Test found on pages 68–78 of this workbook. • The Practice Test gives you an opportunity to practice and improve your test-taking skills.

iv

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

• Use your Student Recording Chart to identify the benchmarks that you still need to work on. If you missed one or two of the questions for a particular benchmark, you could probably use extra practice with that benchmark. • The Student Recording Chart lists practice pages for each benchmark. Complete the corresponding practice pages in your workbook.

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Student Recording Chart Directions Mark an × by each question from the Diagnostic Test that you answered incorrectly. If there is an × marked for a benchmark, write Yes in the Need Practice? box. Then complete the practice pages for that benchmark. Strand Benchmark

1A

Test Questions

3 16 32

Need Practice? Practice Pages

12–15

Strand Benchmark

7 11 20 27 44 55

1C

43 50 51 57 60

16–19

20–23 Algebra

2A

2B

2C

2D

Test Questions

4 18 62

5 28 37

21 36 46 48

1 24 45 58

Need Practice? Practice Pages

24–27

24–27

28–31

32–35

3B

3C

3D

39 53

34

40–43

40–43

Strand Benchmark Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Number and Operations 1B

Test Questions Need Practice? Practice Pages Strand Benchmark Test Questions Need Practice? Practice Pages Strand Benchmark Test Questions Need Practice? Practice Pages

Geometry 3A 2 12 15 38 49 36–39

9 29

40–43

Measurement 4A 6 13 41

44–47

5A 23 25 40 54 59 52–55

4B 8 26 52

48–51 Data Analysis and Probability 5B 5C 9 19 31 35 56–59

5D

14 17 33 47

10 22 30 42 56 61

60–63

64–67

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New Mexico Mathematics Content Standards, Benchmarks, and Performance Standards, Grade 6 STANDARD 1: NUMBER AND OPERATIONS Students will understand numerical concepts and mathematical operations. A. Understand numbers, ways of representing numbers, relationships among numbers, and number systems. 1. Compare and order rational numbers. 2. Use equivalent representations for rational numbers (e.g., integers, decimals, fractions, percents, ratios, numbers with whole-number exponents). 3. Use appropriate representations of positive rational numbers in the context of real-life applications. 4. Identify greatest common factor and least common multiples for a set of whole numbers. 5. Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers.

C. Compute fluently and make reasonable estimates. 1. Estimate quantities involving rational numbers using various estimations. 2. Use estimates to check reasonableness of results and make predictions in situations involving rational numbers. 3. Determine if a problem situation calls for an exact or approximate answer and perform the appropriate computation.

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STANDARD 2: ALGEBRA Students will understand algebraic concepts and applications. A. Understand patterns, relations, and functions. 1. Solve problems involving proportional relationships. 2. Graph ordered pairs in the coordinate plane. 3. Explain and use symbols to represent unknown quantities and variable relationships. 4. Explain and use the relationships among ratios, proportions, and percents. 5. Make generalizations based on observed patterns and relationships. B. Represent and analyze mathematical situations and structures using algebraic symbols. 1. Solve problems involving proportional relationships. 2. Use letters to represent an unknown in an equation. 3. Solve one-step linear equations and inequalities in one variable with positive whole-number solutions. 4. Demonstrate that a variable can represent a single quantity that changes. 5. Demonstrate how changes in one variable affect other variables. C. Use mathematical models to represent and understand quantitative relationships. 1. Develop and use mathematical models to represent and justify mathematical relationships found in a variety of situations. 2. Create, explain, and use mathematical models such as: • Venn diagrams to show the relationships between the characteristics of two or more sets • equations and inequalities to model numerical relationships

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

B. Understand the meaning of operations and how they relate to one another. 1. Calculate multiplication and division problems using contextual situations. 2. Factor a whole number into a product of its primes. 3. Demonstrate the relationship and equivalency among ratios and percents. 4. Use proportions to solve problems. 5. Explain and perform: • whole number division and express remainders as decimals or appropriately in the context of the problem • addition, subtraction, multiplication, and division with decimals • addition and subtraction with integers • addition, subtraction, and multiplication with fractions and mixed numerals 6. Determine the least common multiple and the greatest common divisor of whole numbers and use them to solve problems with fractions.

4. Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. 5. Convert fractions to decimals and percents and use these representations in estimations, computations, and applications. 6. Interpret and use ratios in different contexts. 7. Compute and perform multiplication and division of fractions and decimals and apply these procedures to solving problems.

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• three-dimensional geometric models • graphs, tables, and charts to interpret and analyze data D. Analyze changes in various contexts. 1. Represent and explain changes using one-step equations with one variable. 2. Solve problems that involve change using proportional relationships. 3. Use ratios to predict changes in proportional situations. 4. Use tables and symbols to represent and describe proportional and other relationships involving conversions, sequences, and perimeter. 5. Generate formulas to represent relationships involving changes in perimeter.

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

STANDARD 3: GEOMETRY Students will understand geometric concepts and applications. A. Analyze characteristics and properties of twoand three-dimensional geometric shapes and develop mathematics arguments about geometric relationships. 1. Identify, describe, and classify the properties of, and the relationships between, plane and solid geometric figures: • measure, identify, and draw angles, perpendicular and parallel lines, rectangles, and triangles by using appropriate tools (e.g., straightedge, ruler, compass, protractor, drawing software) • understand that the sum of angles of any triangle is 180 degrees and the sum of the angles of any quadrilateral is 360 degrees and use this information to solve problems • visualize and draw two-dimensional views of three-dimensional objects made from rectangular solids 2. Classify angles as right, obtuse, or straight. 3. Describe the properties of geometric figures that include regular polygons, circles, ellipses, cylinders, cones, spheres, and cubes. 4. Classify polygons as regular or irregular. 5. Classify triangles as scalene, isosceles, or equilateral and by angles (i.e., right, acute, and obtuse). 6. Identify angle, line, segment, and ray and use the symbols for each. 7. Describe the relationship between radius, diameter, and circumference of a circle.

B. Specify locations and describe spatial relationships using coordinate geometry and other representational systems. 1. Use coordinate geometry to describe location on a plane. 2. Recognize skewed lines in space. C. Apply transformations and use symmetry to analyze mathematical situations. 1. Identify line of symmetry with rotation and scaling. D. Use visualization, spatial reasoning, and geometric modeling to solve problems. 1. Use appropriate technology, manipulatives, constructions, or drawings to recognize or compare geometric figures. STANDARD 4: MEASUREMENT Students will understand measurement systems and applications. A. Understand measurable attributes of objects and the units, systems, and processes of measurement. 1. Perform multi-step conversions of measurement units to equivalent units within a given system (e.g., 36 inches equals 3 feet or 1 yard). 2. Estimate measurement in both U.S. customary and metric units. 3. Select and use units of appropriate size and type to measure angles (e.g., degrees, radians), perimeter, area, and capacity in both U.S. customary and metric systems. 4. Use standard units of linear measurement to the nearest sixteenth of an inch; metric measurements to the nearest millimeter. B. Apply appropriate techniques, tools, and formulas to determine measurements. 1. Apply various measurement techniques and tools, units of measure, and degrees of accuracy to find accurate rational number representations for length, liquid, weight, perimeter, temperature, and time. 2. Select and use formulas for perimeters of squares and rectangles. 3. Select and use strategies to estimate measurements including angle measure and capacity. 4. Select and justify the selection of measurement tools, units of measure, and degrees of accuracy appropriate to the given situation.

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STANDARD 5: DATA ANALYSIS AND PROBABILITY Students will understand how to formulate questions, analyze data, and determine probabilities. A. Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them. 1. Use statistical representations to analyze data. 2. Draw and compare different graphical representations of the same data. 3. Use mean, median, mode, and range to describe data. 4. Sketch circle graphs to display data. 5. Solve problems by collecting, organizing, displaying and interpreting data. 6. Compare different samples of a population with the entire population and determine the appropriateness of using a sample. 7. Conduct and explain sampling techniques such as observations, surveys, and random sampling for gathering data. 8. Determine the median for a rational number data set containing an odd number of data points. 9. Calculate and explain the median for a whole number data set containing an even number of data points. 10. Explain advantages and disadvantages of using various display formats for a specific data set. 11. Formulate and solve problems by collecting, organizing, displaying, and interpreting data.

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C. Develop and evaluate inferences and predictions that are based on data. 1. Identify claims based on statistical data and evaluate the validity of the claim 2. Conduct observations, surveys, experiments and/or simulations, record the results in charts, tables, or graphs, and use the results to draw conclusions and make predictions. 3. Find all possible combinations in a given set (e.g., the number of ways a set of books can be arranged on a shelf). 4. Compare expected results with actual results in a simple experiment. D. Understand and apply basic concepts of probability. 1. List all possible outcomes for a compound event composed of two independent events and recognize whether an outcome is certain, impossible, likely, or unlikely. 2. Determine and compare experimental (empirical) and mathematical (theoretical) probabilities (e.g., flipping two color counters). 3. Determine theoretical and experimental probabilities and use them to make predictions about events. 4. Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome. 5. Use data to estimate the probability of future events (e.g., batting averages). 6. Represent probabilities as ratios, proportions, decimals between 0 and 1, and percentages between 0 and 100 and verify that the probabilities computed are reasonable; know that if P is the probability of an event, 1–P is the probability of the event not occurring. 7. Describe the difference between independent and dependent events and identify situations involving independent or dependent events.

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

B. Select and use appropriate statistical methods to analyze data. 1. Choose an appropriate graphical format to organize and represent data. 2. Describe the effects of missing or incorrect data. 3. Compute and analyze statistical measurements for data sets: • understand how additional data added to data sets may affect the computations of central tendency • understand how the inclusion or exclusion of outliers affects measures of central tendency • know why a specific measure of central tendency provides the most useful information in a given context 4. Use data samples of a population and describe the characteristics and limitations of the sample. 5. Identify different ways of selecting a sample (e.g., convenience sampling, responses to a survey, random sampling) and which method makes a sample more representative for a population.

6. Explain how the way a question is asked in a survey might influence the results obtained. 7. Identify data that represent sampling errors and explain why the sample and the display might be biased. 8. Identify claims based on statistical data and, in sample cases, evaluate the validity and usefulness of the claims.

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Name

Date

Diagnostic Test Read each question and choose the best answer. 1 Carlos rides his bike at a constant speed of 5 miles per hour. Which equation can be used to find the number of hours, t, it will take him to travel 12 miles? 2D.1 A t = 12 ÷ 5 B t = 12 + 5 C t = 12 – 5 D t = 12 × 5 2 Which type of angle is ∠B? 3A.2

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

B

A B C D

right obtuse acute straight

3 Which is the least common multiple of 8, 24, and 36? 1A.4 A 8 B 9 C 36 D 72

4 What are the coordinates of point X in the graph below? 2A.2

X

4 3 2 1

4321 O 1 2 W 3 4

A B C D

y

Y

1 2 3 4x

Z

(-3, -2) (-1, 2) (1, -2) (2, 3)

5 What is the value of the expression below when x = 7? 2B.4 3x + 4 A 14 B 21 C 25 D 31 6 Which of the following could have a capacity of 50 liters? 4A.3 A a carton of milk B a spoonful of medicine C a bottle of shampoo D a tub filled with water

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Name

Date

Diagnostic Test

(continued)

7 At the Santa Fe Public Library, the ratio of books about lions to books about lion behavior is 20 to 5. What percent of the lion books are about lion behavior? 1B.3 A 4% B 8% C 20% D 40% 8 Which of the following measures is closest to the measure of the angle shown below? 4B.3

10 Devonte conducts a survey to find the number of siblings for each student in his class. The results are listed in the table below. Siblings in Room 7 Number of Siblings

Number of Students

0

2

1

6

2

10

3 or more

6

What is the probability that a student in Devonte’s class has 2 or more siblings? 5D.2 1 A _ 4

A B C D

15° 32° 46° 78°

2 B _ 3 _ C 3 5

5 D _ 12

2

11 A large sack of dog food weighs 22.5 pounds. The nearest grocery store stocks only small bags of dog food that weigh 3.75 pounds each. How many small bags would be required to match the weight of a large sack? 1B.5 A 4 B 5 C 6 D 7

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

9 Jolene is treasurer of her school. She wants to survey her classmates to determine which type of fund-raiser would be most successful. Which question should Jolene ask to get the most useful set of data? 5B.6 A Which would you rather sell: pencils or candy bars? B What would you like the school to buy with the funds? C Do you like to take part in fund-raisers? D How many pencils can you sell?

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Name

Date

Diagnostic Test

(continued)

12 Which of the following is a right isosceles triangle? 3A.5

16 Which group of numbers is ordered from least to greatest? 1A.1 3 2 , 0.37, 0.15, _ A _ 7 5

A B C D

C

D

A B C D

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

13 Ada plans to hang fabric from the top of her door to the floor. If the height of the door is 138 inches, about how many yards of fabric does Ada need to buy? 4A.1 A 4 yd C 8 yd B 6 yd D 11 yd 14 Jose and four friends buy lunch at the school cafeteria. How many different ways can the 5 classmates line up for lunch? 5C.3 A 1 C 25 B 5 D 120 15 Which of the following characteristics describes the geometric figure below? 3A.3

A B C D

2 faces and 2 vertices 1 rectangular base and 2 vertices 2 circular bases and 0 vertices 6 faces and 8 vertices

3 2 _ B _ , , 0.37, 0.15 7 5 2 _3 C 0.15, _ , 0.37, 7 5

D 0.15, _ , _, 0.37 7 5 2 3

17 The population totals for the state of New Mexico from 1900 to 2000 are shown in the scatter plot below. New Mexico Population Growth Population (thousands)

B

A

2000 1800 1600 1400 1200 1000 800 600 400 200 0

‘10 ‘20 ‘30 ‘40 ‘50 ‘60 ‘70 ‘80 ‘90

1900

2000

Year

Based on the trend line, in what year might you predict that the population of New Mexico was 800,000? 5C.2 A 1940 B 1958 C 1962 D 1973 18 A recipe calls for 1 cup of blueberries for every 12 muffins. How many cups of blueberries should be used to make 36 muffins? 2A.1 A 2 cups C 4 cups B 3 cups D 6 cups

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Name

Date

Diagnostic Test

(continued)

19 Kiara wants to predict which candidate for student council is in the lead. Which of the following survey groups would provide the most accurate sample for the entire student population? 5B.5 A every fifth student leaving the school cafeteria B all the students in Mr. Santo’s class C the five best friends of one of the candidates D all the players on the school football team 20 Fernando can buy 6 book covers for $7.50. At this rate, how much will he need to buy 10 book covers? 1B.4 A $10.25 C $12.50 B $11.00 D $15.00 21 Which of the following best describes the set of numbers found in the shaded region of the Venn diagram below? 2C.2

45 36

48

60

25 50

23 The line plot below shows the 2005 season scores for the New Mexico State Aggies football team. Aggie Football Scores 2005   

  

  

07

814

 



1521 2228 2935 3642

Which of the following statements is correct? 5A.1 A The Aggies scored more than 42 points in one game. B The Aggies scored less than 22 points in most of the games. C The median score for the 2005 season was 33 points. D The Aggies scored greater than 22 points in most of the games.

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A The numbers in the center are multiples of 6. B The numbers in the center are multiples of 3 and 5. C The numbers in the center are multiples of 2 and 3. D The numbers in the center are multiples of 9.

4

24 The scale of a model car is 1 inch:3 feet. What is the actual length of the car if the inches long? 2D.2 model is 5_ 2 1

ft A 10 _ 2

C 15 _ ft 2

B 15 ft

D 16 _ ft 2

1

1 1

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

12

22 A spinner has 6 equal sections numbered 1 to 6. Which of the following is a certain event when the spinner is spun? 5D.1 A landing on a number greater than 4 B landing on a number less than 3 C landing on a number less than 7 D landing on a number greater than 1

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Name

Date

Diagnostic Test

(continued)

25 Which statement is not supported by the circle graph below? 5A.4 Lincoln School’s Favorite Pies

24% Cherry 46% Apple

11% Other

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

8% Peach

11% Pumpkin

A More students favored cherry pie than peach pie. B The same number of students liked peach pie as “other” pies. C Apple or peach pie was selected by almost half the students. D Almost one fourth of the students liked cherry pie. 26 Which of the following can be used to find the perimeter of a rectangle that is 26 centimeters long and 12 centimeters wide? 4B.2 A P = 2(26) × 2(12) B P = 26 × 12 C P = 2(26) + 2(12) D P = 2(26 - 12)

28 Samirah planned a boat ride for her family. The cost was $45.00 to rent the boat, plus an additional $12.50 for each hour of the trip. Which equation can be used to find c, the cost in dollars of the boat rental, for h hours? 2B.2 A c = 45 + 12.5 + h B c = h(12.5 + 45) C c = 45h + 12.5 D c = 12.5h + 45 29 The large square is 2 inches tall. What is the perimeter of one of the smaller squares? 3D.1

A B C D

3 in. 4 in. 6 in. 8 in.

30 Dakota spins a spinner with equal sections numbered 1 through 6. What is the probability that she will spin an even number? 5D.6 A P=_ 2 1

B P = 25% 27 Which is the prime factorization of 24? 1B.2 A 2×2×6 B 2×2×2×3 C 2×2×3×3 D 2×3×4

4 C P=_ 6

D P = 75%

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Name

Date

Diagnostic Test

(continued)

31 Measurements of five robin’s eggs were 1.15, 1.20, 1.40, 1.35, and 1.15 centimeters. The biologist added one more measurement of 1.8 centimeter. How does the outlier affect the mean, median, or mode of the data? 5B.3 A The median is lower with the outlier but the mode stays the same. B The mean is higher with the outlier and the median stays the same. C The median with the outlier is 1.35. D Both the mean and the median are higher with the outlier than without it.

0 2 4 8

Shandy's Weekly Homework 200 175 150 125 100 75 50 25 0

36 The 2004 population estimates from several counties in New Mexico are listed below. 2004 New Mexico County Population Estimates Dona Ana

Math

English

History

Science

Subjects

A Shandy spends more time on history homework than on science or math. B Shandy does her math homework last. C Shandy spends about an hour more on English homework than on history. D Shandy spends about twice as long on history homework as on science.

186,095

Grant

29,443

Roosevelt

18,165

Sandoval

102,120

Santa Fe

138,705

Taos

31,464

Which is the third largest population listed in the table above? 2C.2 A 31,464 B 102,120 C 138,705 D 186,095

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

33 What conclusion can be drawn from the graph below? 5C.2

Time (min)

A B C D

35 Nathan wants to record the batting averages of his 10 favorite players. Which type of graph would best represent this data? 5B.1 A scatter plot B bar graph C circle graph D box-and-whisker plot

32 Simplify. 1A.2 (-2)(-4)2(3) A -96 B -48 C 96 D 108

6

34 How many lines of symmetry does the figure below have? 3C.1

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Name

Date

Diagnostic Test

(continued)

37 Catalina spent $3.52 on 16 pencils for the school year. A week later she decided to buy 5 more. Which proportion could Catalina use to find the additional cost? 2B.1

_ 16 5x = 1 A _ 3.52 16 B _ =x 3.52

_ _5 16 C 3.52 = x _ 16 x D =_ 3.52

5

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

38 The diameter of a circle is 15 centimeters. Which is the circle’s radius ? 3A.7 A 7.5 cm B 10 cm C 22.5 cm D 30 cm 39 Which of the following segments in the figure below are parts of skew lines? 3B.2 D

K J

A B C D

___

DE ___

H I

____

and ____ HK JK and ____ DK ___ GJ and___ DK __ IJ and EF

A B C D

4.9 5.2 5.3 5.7

41 Which of the following could have a length of 10 inches? 4A.2 A a football field B a pencil C a school bus D a computer desk 42 Latanya makes an average of 72% of her free throws on the basketball court. If she continues at this rate, what is the probability that she will make her next free throw shot? 5D.5 A about 5 out of 7 B about 6 out of 7 C about 3 out of 5 D about 2 out of 5

E

F

G

40 Which is the median for the following set of numbers? 5A.8 5.3, 4.9, 3.4, 6.1, 5.2, 4.3, 5.7

43 Which of the following will give you the best estimate for 372.4 × 9.8? 1C.2 A 3,000 × 10 B 300 × 9 C 370 × 9 D 370 × 10

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Name

Date

Diagnostic Test

(continued)

Write your answer in the space provided. Show all of your work. 44 The average monthly temperature at Conchas Dam in March 2005 was 46.74 degrees Fahrenheit. By July, the average temperature reached 80.87 degrees Fahrenheit. What was the difference in the average temperature for the 4-month period? 1B.5

47 Andres wants to sample each kind of enchilada at the Whole Enchilada Festival in Las Cruces. He can choose from beef, cheese, or chicken enchiladas. Milk and lemonade are available for purchase. How many ways can Andres sample an enchilada with a drink? 5C.3

48 What inequality is described by the sentence below? 2C.2 The sum of a number, t, and seven is less than or equal to fifteen. 45 Ms. Dixon’s garden is 6 feet long and 4 feet wide. Write an equation that can be used to find the perimeter of the garden if Ms. Dixon increases its length by 2 feet. 2D.5

49 What is the measure of angle W in the quadrilateral shown below? 3A.1 X 82˚

W

1 qt

8

40 gal

Y

80˚

Z

50 Dylan estimated the cost of 5 CDs at $13.89 each to be $70.00. Is this a reasonable estimate? 1C.2

51 Darrell is ordering snacks for an afterschool meeting. He estimates that between 50 and 75 students will come to the meeting and each snack will cost $1.75. What calculations should Darrell make to cover the cost of the snacks? 1C.3

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

46 A 40-gallon barrel of lamp oil is to be put into quart bottles for distribution during an electricity outage. How many bottles can be filled from this barrel? 2C.2

120 ˚

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Name

Date

Diagnostic Test

(continued)

52 What is the perimeter of a square whose side is 12.5 centimeters long? 4B.2

53 What are the coordinates of the vertices of the parallelogram below? 3B.1 A

4 3 2 1

321O 1 2 D 3 4

56 Blake bought a small bag of marbles at the gift store. The bag contains 10 blue, 6 red, 4 green, and 5 yellow marbles. If Blake chooses at random one marble from the bag, what is the probability that he will choose a blue or yellow marble, expressed as a fraction? 5D.3

y

B

1 2 3 4 5 6x

C

57 Use the number line to graph the points given below. 1C.4 , 3, 4.5 -2.5, -_ 2 1

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

5 4 3 2 1

0

1

2

3

4

5

54 What is the median of the following heights in inches for a group of students? 5A.9 48, 51, 46, 53, 45, 50, 54, 52

of 55 Last week Tom and his brother ate _ 3 2

a pizza. This week the two of them

58 Ernesto takes 2 rest periods in the course of swimming 8 laps. At this rate, about how many times would Aida rest in the course of swimming 21 laps? 2D.3

3 finished _ of a pizza. How much more 4

did they eat this week than last week? 1B.5

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Diagnostic Test

(continued)

Questions 59 to 62 are open-ended questions. Write your answer in the space provided and show your work. 59 Kyla wrote down her math scores for the semester. Her scores are shown below. 5A.5 80, 92, 78, 99, 84, 89, 90, 88 A. Construct a stem-and-leaf plot to represent the data. Include a key.

B. Find the mean of the data to determine Kyla’s overall grade.

60 Myra made a quilt using the pattern below. 1C.5

B. Write the fraction from part A as a decimal rounded to the nearest hundredth. C. Write the decimal from part B as a percent.

10

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

A. What fraction of stars is shaded? Write your answer as a fraction in simplest form.

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Diagnostic Test

(continued)

61 Marlon owns a black backpack, a blue backpack, and a green bookbag. He rides his bike or his scooter to school each day. 5D.3, 5D.4 A. Draw a tree diagram to show all the choices Marlon can make each day about which pack or bag to carry and which method of transportation to take to school.

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

B. Find the probability that on a Monday, Marlon will carry his blue backpack and ride his scooter.

62 Mrs. Rodriguez is taking 30 students on a field trip. Admission is $4.50 per student and $3.00 for each adult chaperone. 2A.3 A. Write an equation that represents c, the cost of the tickets for 30 students and n adults. B. Solve the equation for the total cost of admission when 5 adults attend as chaperones. of the students to bring snacks and the C. If Mrs. Rodriguez asks _ 5 3

rest to bring drinks, find the number of students bringing drinks.

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Standards Practice STRAND 1: Number and Operations 5-8 BENCHMARK: Understand numbers, ways of representing numbers, relationships among numbers, and number systems. (1A)

4 Which of the following points 1 ? 1A.5 represents 3_ 4 W 0

Read each question and choose the best answer.

1 Which is the decimal equivalent of 7%? 1A.2 A 0.007 B 0.07 C 0.7 D 7 2 Which set of numbers is in order from least to greatest? 1A.1 6 11 13 A _, _, _, 3.2

2

3

4

5

point W point X point Y point Z

5 What is the least common multiple of 4, 12, 24, and 30? 1A.4 A 4 B 48 C 60 D 120 6 Rolanda measures her room for new carpeting. The dimensions of her room are 10 feet by 15 feet. She is going to piece together two sections of carpet for 1 feet the room. One section of carpet is 8_ 2 wide. What is the width of the remaining section of carpet? 1A.3

3 Ernesto answered 16 out of 20 problems correctly on his last test. Which shows the percent of his correct answers? 1A.2 A 20% B 40% C 80% D 85%

12

1

Z

ft A 6_ 2 1

B 9 ft C 15 ft D 23_ ft 2 1

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

2 3 4 13 6 11 _ B _ , , 3.2, _ 3 4 2 6 _ 13 11 C 3.2, _ , ,_ 2 4 3 6 13 _ 11 D _ , 3.2, _ , 2 4 3

A B C D

Y

X

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FIFTH PASS PAGES

Name

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Standards Practice

(continued)

STRAND 1: Number and Operations 7 Which of the following is the greatest number? 1A.1 10 _2 , _3 , _4 , _ 3 5 9 27

2 A _

3 3 B _ 5 4 C _ 9 10 D _ 27

8 At Perdita’s party, a pizza was cut into 12 pieces. If Hunter had 3 pieces, which shows the percent of the pizza that he ate? 1A.3 A 3% B 12% C 25% D 75%

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

9 Which of the following are equivalent values? 1A.2 2 , 40% A _ 5 3 B _ , 10% 7 1 , 1% C _ 10 2 , 29% D _ 9

10 The 800-mile Santa Fe Trail comes to an end in the capital city of Santa Fe. If you drove 600 miles, what percent of the trail would you cover? 1A.3 A 40% B 66% C 75% D 80% 11 Which of the following sets of numbers is in order from greatest to least? 1A.1 1 1 1 , -_ , -_ , -0.45 A -_ 12

4

3 1 1 1 B -0.45, -_, -_ , -_ 3 4 12 1 1 1 C -_ , -_ , -0.45, -_ 3 4 12 1 1 1 D -_ , -0.45, -_ , -_ 12 4 3

12 Which is the greatest common factor of 12, 27, 30, and 36? 1A.4 A 3 B 6 C 9 D 54 13 Which of the following is equivalent 23 ? 1A.2 to _ 50 A 0.23 B 0.46 C 2.3 D 4.6

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Standards Practice

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STRAND 1: Number and Operations 14 Taryn and her friends stopped at the fruit stand. Taryn purchased 0.24 pounds of 1 pound of blueberries. Brett bought _ 4 3 pound of raspberries and Jillian bought _ 8 strawberries. Which answer shows who bought the heaviest amount of fruit? 1A.3 A Taryn B Brett C Jillian D both Taryn and Jillian

Write your answer in the space provided. Show all of your work.

15 Which shows where point X is located? 1A.5

18 What is the greatest common factor of 7, 42, 63, and 77? 1A.4

17 Order the rational numbers below from least to greatest. 1A.1 462 × 104, 46.2 × 103, 0.462 × 106

X 5

0

5

7 A -_

16 There are 30 students in Ms. Rodriguez’ sixth grade class. If 18 students are boys, which shows this as a percent? 1A.2 A 12% B 30% C 55% D 60%

14

19 What fraction in simplest form is equivalent to 40%? 1A.2

20 Jacob practiced shooting baskets and missed 12% of 50 attempts. How many baskets did he miss? 1A.3

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

2 5 B -_ 2 3 C -_ 2 1 D -_ 2

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Standards Practice

(continued)

STRAND 1: Number and Operations The questions on this page are open-ended questions. Write your answer in the space provided. Show all of your work.

21 Place the following points on the number line: 2.75, -3_ , -0.40, 1_ , 3 8 and 0.15. Label each point with the correct value. Circle all values that are greater than 0.18. 1A.5 7

1

5

4

3

2

1

0

1

2

3

4

5

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

22 Several sixth grade students participated in the shuttle run of the Presidential Fitness Test. Their times are listed in the table below. Use this table to answer the questions that follow. 1A.1, 1A.5 Name

Time (sec)

Dana

10.52

Alex

9.47

Kiara

11.03

Philip

10.33

Cody

9.09

Jess

10.47

Jake

10.13

A. List the run times in order from least to greatest. B. Graph the run times on the number line below. 9

10

11

12

C. Who had the best time? What is the difference between the best time and the second best time?

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Name

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Standards Practice STRAND 1: Number and Operations 5-8 BENCHMARK: Understand the meaning of operations and how they relate to one another. (1B) Read each question and choose the best answer.

4 Multiply. 1B.5 3_ × 5_ 9 8 3

A 15_ 9

5

8

B 16_ 8 1

C 18_ 2 1

1 The federal government directly employs 1 out of 4 workers in New Mexico. What percent of the state’s workers are not government employees? 1B.3 A 4% B 25% C 50% D 75%

3 Which is the prime factorization of 96? 1B.2 A 2 × 35 B 22 × 32 C 23 × 3 D 25 × 3

16

3

5 Zachary can buy 12 videos for $78.00. At that rate, how much will he need to buy 8 videos? 1B.4 A $52.00 B $60.00 C $65.00 D $90.00 6 The Rio Grande Zoo is home to about 250 species of animals. Just over 9% of the species can be found in the Africa exhibit. What is the ratio of species in the exhibit to species in the zoo? 1B.3 A 9 to 10 B 9 to 250 C 23 to 250 D 90 to 250

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

2 Keisha brought $25.00 to the fair. She spent $7.00 on lunch and $4.00 on a ride. Then she found another $6.50 in her coat pocket. Later she loaned $12.00 to her sister. How much money did Keisha have left? 1B.5 A $2.00 B $8.50 C $17.50 D $23.00

D 18_ 4

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Standards Practice

(continued)

STRAND 1: Number and Operations 7 Jose wants to share a 5-pound bag of peanuts with 12 friends so that everyone receives an equal amount. If there are 1,042 peanuts in the bag, how many peanuts can each friend receive? 1B.1 A 60 B 80 C 90 D 92 8 The cost of a stamp is $0.39. A box of envelopes costs $1.19. Which shows the cost of 15 stamps and 2 boxes of envelopes? 1B.5 A $5.85 B $6.63 C $6.84 D $8.23 9 Subtract. 1B.6 A 11_ 5

14 - 2_ 5 3

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

2

B 11_ 5 4

C 12_ 5 1

D 12_ 5 3

10 Zenaida can buy 24 tamales for $20.00. Which proportion could she use to find the cost, c, of 10 tamales? 1B.4

11 Divide. 1B.5 63.57 ÷ 6.52 A B C D

9.69 9.75 10.25 97.5

12 Which number is the product of the factors below? 1B.2 23 × 3 × 5 A 90 B 110 C 120 D 150 13 Each year, participants at The Whole Enchilada Festival in Las Cruces set out to make the world’s largest enchilada. If 1 enchilada can feed 150 people, how many enchiladas would be needed to feed 2,100 people? 1B.1 A 13 B 14 C 19 D 20 14 Which percent is equivalent to the ratio 5:2? 1B.3 A 0.25% B 2.5% C 25% D 250%

10 c =_ A _ 20 24 10 24 B _=_ c 20 c 24 = _ C _ 10 20 10 20 D _ =_ c 24

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Standards Practice

(continued)

STRAND 1: Number and Operations 15 The Vechis used 3.5 gallons to drive 60 miles. How many gallons would they use to drive 144 miles? 1B.4 A 1.5 B 7.2 C 8.4 D 9.0

Write your answer in the space provided. Show all of your work.

18 What is the prime factorization of 420? 1B.2

16 Which pair of fractions is equivalent? 1B.6 57 19 and _ A _ 5 15 36 12 _ B _ and 31 90 42 21 C _ and _ 9 4

19 Solve. 1B.6

□ + _115 = _5855

28 56 D _ and _ 33 99

20 In one game, the New Mexico University Lobos football team made a gain of 11 yards, a loss of 3 yards, a loss of 4 yards, and a gain of 5 yards. What was the net loss or gain? 1B.5

21 Marvin sold some baseball cards at a yard sale. He sold 12 cards for $1.50 each and 3 cards for $3.00 each. How much money did he earn? 1B.1

18

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

17 If model rocket engines cost $3.60 each how much would a case of 12 cost? 1B.1 A $10.80 B $42.20 C $43.20 D $422.00

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Standards Practice

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(continued)

STRAND 1: Number and Operations The questions on this page are open-ended questions. Write your answer in the space provided. Show all of your work.

22 The New Mexico Museum of Natural History and Science sends volunteers to classrooms throughout the city of Albuquerque. 1B.4 A. If each volunteer can visit 3 classrooms per day, how many classrooms will 6 volunteers visit over 60 school days?

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

B. During a special program, a volunteer brings 3 kinds of kits for students to share: one about fossils, another about gems and minerals, and a third about marine life. There are 108 students divided evenly among the 3 kits. How many students share 1 kit? If this is the maximum number of students per kit, how many kits would be needed if there were 54 more students?

23 A box contains 48 tennis balls, including 12 green, 8 yellow, 16 blue, and 12 pink balls. 1B.3 A. What is the ratio of green tennis balls to blue ones? What is the ratio of yellow tennis balls to all tennis balls?

B. If 12 tennis balls are taken out of the box, what percent of the tennis balls are left in the box?

C. If there are 3 boxes of tennis balls, what percent will be blue to the nearest whole percent?

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Standards Practice STRAND 1: Number and Operations 5-8 BENCHMARK: Compute fluently and make reasonable estimates. (1C) Read each question and choose the best answer.

1 Manuel answered _ of the problems 5 correctly on his math test. Which shows the percent he answered correctly? 1C.5 A 40% B 65% C 80% D 82% 4

vegetables 2 Mr. Lee plants a garden with _ 2 1

flowers. He plants _ of the flower and _ 2 4 section with tulips. What fraction of Mr. Lee’s garden is filled with tulips? 1C.7 1

3

3 A _

3 Danielle’s class has 16 girls and 12 boys. Which shows the ratio of girls to boys? 1C.6 A 4:3 B 3:4 C 4:7 D 3:7

20

5 Cameron has 60 cookies to divide evenly among 7 of his friends. Which shows about how many cookies each of his friends get? 1C.2 A 6 B 7 C 8 D 11 6 Which set of numbers is in order from least to greatest? 1C.4 9 _ 5 3 1 , , _, _ A _ 16 8 4 4 9 5 3 1 _ B _ , , _, _ 4 16 8 4 3 5 9 1 _ C _ , , _, _ 4 4 8 16 3 _ 5 _ 9 _ 1 D _ , , , 4 8 16 4

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

8 1 B _ 4 2 C _ 3 3 D _ 2

4 Fourteen percent of students get new library cards each year. Which of the following is true? 1C.6 A Only 14 students get new library cards each year. B One out of every 14 students gets a new library card each year. C Each year, 1,400 students get new library cards. D Fourteen out of every 100 students get new library cards each year.

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Standards Practice

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STRAND 1: Number and Operations 7 The ratio of cows to pigs at a New Mexico fair is 3 to 5. There are 150 cows at the fair. How many pigs are there? 1C.6 A 30 B 50 C 250 D 400

10 Which shows the best estimate for the sum of the numbers below? 1C.2 8, 10, 23, 17, 12, 9 A 70 B 75 C 80 D 85

8 Christy ran the 100-meter dash in 13.996 seconds. The school record is 11.51 seconds. About how many seconds faster would Christy need to run to set a new school record? 1C.1 A 2 sec B 2.5 sec C 3 sec D 3.5 sec

11 Which decimal is equivalent to _ ? 1C.5 8

9 Which letter on the number line 1 ? 1C.4 corresponds to the number -1_ 4

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

P 3

A B C D

2

point P point Q point R point S

1

Q 0

R 1

S 2

3

5

A B C D

0.125 0.375 0.625 0.875

12 Giovanni counted 123 apples in a basket. He noticed that there were 39 baskets. Which is the best way for him to estimate the total number of apples? 1C.3 A multiply 39 by 120 B multiply 40 by 150 C multiply 39 by 100 D multiply 40 by 120 13 Between which two numbers would you place 1.14 on a number line? 1C.4 A 1.10 and 1.20 B 1.20 and 1.40 C 1.00 and 1.10 D 1.40 and 1.50

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Standards Practice

(continued)

STRAND 1: Number and Operations 14 Which mixed number is equivalent to the sum of 2.10 and 1.15? 1C.5 A 3_ 8

Write your answer in the space provided. Show all of your work.

1

B 3_ 4 1

C 3_ 2

17 Locate and label a point between the rational numbers 0.715 and 0.725 on the number line below. 1C.4

1

3 D 3_ 4

15 Ahmed’s basketball team scored 61 points in its first game and 58 points in its second game. Based on these totals, which is the best estimate of the total points Ahmed’s team will score during its entire 20-game season? 1C.1 A 600 B 1,000 C 1,100 D 1,200

0.8

18 Estimate the sum to the nearest whole number. 1C.1 3_ + 2_ 9 12 5

5

19 School notebooks sell for $0.80 each. How many notebooks can Shay buy with $10.40? 1C.7

20 The ratio of children to adults at a movie was 24 to 30. Express the ratio as a fraction. 1C.6

22

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

16 Which is a reasonable estimate of the quotient? 1C.2 120.47 ÷ 4.894 A 8 B 16 C 24 D 50

0.7

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Standards Practice

(continued)

STRAND 1: Number and Operations The questions on this page are open-ended questions. Write your answer in the space provided. Show all of your work.

21 A recipe for cookies calls for _ cup of sugar and 2 cups of flour. The 3 recipe makes 2 dozen cookies. 1C.6 A. How much sugar and flour would be needed to make 6 dozen cookies? 2

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

B. Victor wants to make only 1 dozen cookies, or one-half of the recipe. How much sugar and flour will he need?

22 Lin makes $6.90 per hour working for the New Mexico Rodeo Council. On Friday she worked 6 hours, on Saturday she worked 8 1 hours. 1C.3 hours, and on Sunday she worked 6_ 2 A. Explain how Lin could estimate the total amount of money she earned for the 3 days.

B. Using the figures from the estimate above, calculate the estimated amount of money she earned. Then show how to compute the exact amount she earned.

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Standards Practice STRAND 2: Algebra 5-8 BENCHMARK: Understand patterns, relations, and functions. (2A) 5-8 BENCHMARK: Represent and analyze mathematical situations and structures using algebraic symbols. (2B) Read each question and choose the best answer.

1 Sixteen pizzas are ordered for a birthday party. Six of the pizzas are plain cheese and the rest have pepperoni. What is the ratio of plain cheese to pepperoni pizzas? 2A.1 A 3:3 C 5:3 B 3:5 D 8:3 2 If x represents an unknown number, which expression represents 3 times that number? 2A.3 A x+3

5 Luis bought 32 doughnuts for a class party for $5.65. After school, he returned to buy 6 more doughnuts for his family. Which proportion could Luis use to find the cost of 6 doughnuts? 2B.1 x 32 =_ A _

6 5.65 6 32 B _ =_ x 5.65 5.65 6 C _ =_ x 32 32 6 D _ =_ x 5.65

6 Which point has coordinates (-2, 1)? 2A.2

C 3x 1x D _ 3

3 There are 33 counties in the state of New Mexico. Only 11 of these counties have a population of more than 50,000 people. What is the ratio of counties in New Mexico with population of more than 50,000 to those with less than 50,000? 2A.1 1 A _ 3

1 B _

M

4 3 2 1

4321O 1 Q 2 3 4

A B C D

point M point N point P point Q

y

1 2 3 4x

P

N

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

B x3

4 What is the value of the expression when x = 6? 2B.4 7x - 9 A 4 B 27 C 31 D 33

2 2 C _ 1 3 D _ 1

24

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Standards Practice

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(continued)

STRAND 2: Algebra 7 Which inequality best expresses the sentence below? 2A.3 A number p is at least nineteen. A p ≤ 19 B p ≥ 19 C p 19 8 Which ratio is the same as 40%? 2A.4 A 1:4 B 2:8 C 2:5 D 3:8

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

9 Which number is missing in this sequence? 2A.5 6, 12, 24, __, 96 A 36 B 48 C 54 D 88 10 Which value is a solution of the equation? 2B.3 4x = 12 A 3 B 4 C 5 D 6

11 The number of tickets sold to the air show at Cannon Air Force Base changes each day. If n represents the number of tickets sold on a day and each ticket costs $8.00, which expression represents the amount of money spent on tickets for that day? 2A.3 A n-8 B n+8 C 8n D n8 12 Which pair of ratios is not a proportion? 2A.4 5 _ 11 , A _ 7 16 33 11 _ B _ , 16 48 3 _ 15 C _ , 7 35 15 _ 5 D _ , 27 9

13 Which number is a solution to the equation? 2B.3 t ÷ 18 = 2 A 6 B 9 C 24 D 36

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STRAND 2: Algebra 14 A piggy bank contains only dimes and quarters. The ratio of dimes to quarters is 4:5. What percent of the coins are dimes? 2A.4 A 44% B 80% C 88% D 120% 15 Which are the coordinates of point B in the triangle shown below? 2A.2

B A

7 6 5 4 3 2 C 1

7654321 O 1

17 Find the value of 5(n + p) for n = 7 and p = -4. 2A.3

18 Carlos recorded the colors of cars as he was taking a trip to Santa Fe. The first yellow car he saw was the 21st car. About how many cars do you think he will have to see before he counts 10 yellow cars? 2A.5

1x

(-4, -3) (-3, 4) (3, -4) (-4, 3)

19 Solve the equation. 2B.3 3m = 15

16 Which is a correct sequence of the next two figures in the pattern below? 2A.5

A B C D

26

012-0 7 SP 875955

   

20 A Scout troop is raising money by selling boxes of popcorn. The scouts pay $1.83 per box and then sell them for $2.50 each. Choose a letter to represent the number of boxes sold and then write an expression that determines the amount of money the troop can earn. 2A.3

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

A B C D

y

Write your answer in the space provided. Show all of your work.

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8 11 0

0 20

P

Name

Date

Standards Practice

(continued)

STRAND 2: Algebra The questions on this page are open-ended questions. Write your answer in the space provided. Show all of your work.

21 A coordinate plane with points A and B is shown below. 2A.2

A

4 3 2 1

54321 O 1 2 3 4

y

1 2 3x

B

A. Identify the coordinates of the points on the graph. B. Graph and label points at coordinates (2, 2) and (-5, -1) on the graph above. Label them C and D respectively.

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

C. Connect the points and describe the figure.

22 Naomi bought some stamps at the post office. Each stamp cost $0.39. 2A.3 A. Choose a letter or symbol to represent the number of stamps Naomi bought. Write an expression for the total cost of the stamps. B. Naomi then found that she did not have enough stamps, so she went back to the post office and bought 12 more. Using the letter or symbol selected in part A, write an expression to show the total number and cost of the stamps Naomi bought.

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Standards Practice STRAND 2: Algebra 5-8 BENCHMARK: Use mathematical models to represent and understand quantitative relationships. (2C) Read each question and choose the best answer.

1 Which inequality could model the following situation? 2C.1 How much can John spend on lunch and still have enough left for bus fare? A 5m ≥ 20 C 20 + m ≥ 5 B 20 ÷ 5 ≥ m D 20 - m ≥ 5 2 Roddy collected data to show the scores earned by the academic debate team. Which model would best display this data? 2C.1 A a drawing B a diagram C a chart or table D a three-dimensional figure

A hexagon B isosceles triangle

28

C octagon D right triangle

Population of Five Largest Cities in New Mexico City

2000 Census

1990 Census

Albuquerque

448,607

384,736

Las Cruces

74,267

62,126

Santa Fe

62,203

55,859

Rio Rancho

51,765

32,505

Roswell

45,293

44,654

Which statement is true, based on the data in the chart? 2C.2 A Santa Fe had a higher population growth than Las Cruces from 1990 to 2000. B Roswell gained more than 1,000 people from 1990 to 2000. C In 1990, Rio Rancho had the fifth largest population in the state. D The population in Rio Rancho declined over 10 years. 5 Which statement best describes the rule for the intersection of the Venn diagram shown below? 2C.2

A The intersection contains four-sided figures. B The intersection contains all shaded figures. C The intersection contains shaded squares. D The intersection contains shaded quadrilaterals.

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

3 Which describes the base of the figure below? 2C.2

4 The populations of the 5 largest cities in New Mexico are listed in the table below.

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Standards Practice

(continued)

STRAND 2: Algebra 6 Which situation could be modeled by the diagram shown below? 2C.1 B

C

A

D

A You can only get from A to C by way of B. B A is closer to B than C is. C If everyone shakes hands, six hand shakes result. D A≤B≤C≤D 7 Vanessa created a line plot to show how many students in her class played different sports or activities.

Football

 

Other

Baseball

 

Basketball

  

    

Dance

   

     

Tennis

       

Soccer

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Sports and Activities in Room 8

Which of the following statements is not true about the data? 2C.2 A Most of the students played a team sport. B Tennis was played by only 2 students. C More students played football and baseball than soccer. D Twice the number of students studied dance as played football.

8 Which sentence correctly describes the equation? 2C.2 16 = s + 29 A Sixteen equals the product of a number s and twenty-nine. B Sixteen equals a number s plus twentynine. C Sixteen equals twenty-nine less than a number s. D Sixteen equals a number s divided by twenty-nine. 9 Which situation could be modeled by this inequality? 2C.1 A ≥ 10 × C A Arnold is 10 years older than Charlene. B Charlene is 10 years older than Arnold. C The recipe calls for 10 more apples than carrots. D There must be at least one adult for every 10 children. 10 Greta has 65 coins that total $9.05. She has 33 nickels and 4 dimes. The rest are quarters. Which equation can be used to find q, the number of quarters? 2C.2 A 33 + 4 + q = 9.05 B 33 + 4 + q = 65 C 65 - 9.05 = q D 65 = q + 4 - 33 11 Tyrell is making a Venn diagram to show numbers that are multiples of 3 and numbers that are multiples of 5. Which set of numbers might be found in the intersection of the diagram? 2C.2 A {15, 30, 150, 300} B {6, 18, 120, 150} C {15, 150, 360, 456} D {30, 90, 250, 300}

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STRAND 2: Algebra 12 The table below shows the value of livestock and livestock products in New Mexico in the early 1990s. Livestock and Livestock Products, New Mexico, 1990s (in millions) Cattle

$791

Milk

$204

Eggs

$17

What was the total value of all livestock and livestock products shown? 2C.2 A $1,012,000 C $1,012,000,000 B $1,112,000 D $1,120,000,000 13 The scatter plot below shows the scores of Mrs. Turner’s students compared to the amount of time they studied for a test.

Write your answer in the space provided. Show all of your work.

14 Write the following word sentence as an inequality 2C.2 Twenty-one divided by a number a is greater than negative nine.

15 What ___ is the coordinate of the midpoint of AC on the number line below? 2C.1 A 3

2

B C 1

0

1

D 2

3

16 Write the equation described by the sentence below. 2C.2

Student Test Scores 100

The product of negative fourteen and a number n is seventy.

90 80 60

17 Carrie surveyed the members of the school band to find out which type of music they listen to most often. What type of graph or model could she use to display this data? 2C.2

50 40 30 20 10 0

1

2

3

4

5

6

Hours of Study

Based on the data in the graph, which statement is true? 2C.2 A Test scores are higher for students who studied 3 or fewer hours. B The amount of hours studied did not raise test scores. C The students who received high test scores studied with friends. D Test scores are lower for students who studied fewer hours.

30

18 Miguel saved $24.00 to buy a bike that will cost at least $90.00. Write an inequality to show how much more money, m, he will need to save. 2C.2 19 Write an expression that can be used to find the perimeter of a rectangle that has a length of 4 centimeters and a width of y centimeters. 2C.2

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Test Scores

70

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STRAND 2: Algebra The questions on this page are open-ended questions. Write your answer in the space provided. Show all of your work.

B. Add the amounts together to find the total amount of crops produced. What is the difference in the amounts produced by the largest crop and the smallest crop?

New Mexico Farm Products, 1990s 1,250,000

Amount Produced (metric tons)

20 The amounts of some principal crops that were produced in New Mexico are displayed in the bar graph. 2C.2 A. List the crops in order of their production from least to greatest.

1,200,000

1,000,000 750,000 500,000 250,000

146,000

221,000 203,000

5,700 0

Hay

Cotton

Wheat

Corn

Vegetables

Crops

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

C. Use the information from the bar graph to make a table of the data. Include a title and list the crops in order of production from least to greatest.

21 Leilani has a can filled with jellybeans. The volume of the can is 60 cubic centimeters. She wants to put the jellybeans into a square box that is 4 centimeters tall. Will Leilani’s box hold all the jellybeans? 2C.1 A. Draw a model to show the problem.

B. Find the volume of the box to solve the problem. Use the formula V =  × w × h where  is the length, w is the width, and h is the height of the box.

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FIFTH PASS PAGES

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Standards Practice STRAND 2: Algebra 5-8 BENCHMARK: Analyze changes in various contexts. (2D) Read each question and choose the best answer.

1 The perimeter of a square with side s is 92 centimeters. What is the perimeter for a square with side (s - 4) centimeters? 2D.4 A 23 cm B 76 cm C 84 cm D 88 cm

3 A recipe for 12 muffins calls for 2 cups of flour. If Lori wants to make 36 muffins. How many cups of flour should she use? 2D.2 A 3 B 4 C 6 D 8

32

5 A square has sides of length s inches. A similar square is drawn by adding 3 inches to each side. Which equation best represents the perimeter of the larger square? 2D.5 A P = 4(s + 3) B P = 4s + 3 C P = 4 + (s + 3) D P = 4 ÷ (s + 3) 6 Travis can make $18.00 mowing 4 lawns. How much can he make mowing 9 lawns? 2D.2 A $23.00 B $36.00 C $40.00 D $40.50 7 Which are the next 3 terms of the sequence? 2D.4 26, 25, 23, 20,… A 19, 18, 17 B 17, 15, 14 C 16, 14, 12 D 16, 11, 5

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

2 Felice scored 92 points on her science quiz. This is 16 points higher than the score on her last quiz, q. Which equation can be used to find the score of Felice’s last quiz? 2D.1 A 92 = 16 + q B 92 = 16 - q C 92 = 16 × q D 92 = 16 ÷ q

4 Carly can make 5 posters in 2 days. How many posters can she make in 12 days? 2D.3 A 10 B 20 C 30 D 60

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STRAND 2: Algebra 8 The population of the city of Alamogordo was 35,582 as of the 2000 U.S. Census. The ratio of the population of Hobbs to the population of Alamogordo was nearly 4:5. What was the approximate population of Hobbs? 2D.3 A about 1,779 B about 8,900 C about 28,500 D about 35,000

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

9 Charlene built a box to place under her hamster’s cage. The perimeter of the box is 84 inches. Which best represents the perimeter of a box that is 2 inches larger on each side? 2D.5 A 86 in. B 92 in. C 96 in. D 102 in. 10 Hector opens a bank account with $50.00. Each week Hector adds $20.00 to the account. How many weeks will it take Hector to save $250.00? 2D.1 A 8 B 10 C 12 D 15

11 Sam is mixing salad dressing. The ratio of oil to water needs to be 1:3. How many cups of water should Sam use if he is using 3 cups of oil? 2D.3 A 3 B 5 C 9 D 12 12 Which rule is used to complete the table below? 2D.4 Input

s

1

10

19

46

Output

t

4

40

76

184 220

A B C D

55

s = 4t s=t+4 t = 4s t =4-s

13 Jay makes about 4 out of 16 free throws in a game. If Jay had 20 free throws in one game, which shows about how many he made? 2D.2 A 3 B 5 C 8 D 10

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STRAND 2: Algebra 14 Franco is shopping for school supplies. Which special is the better buy? 2D.2 A 18 pens for $3.06 B 34 pens for $5.10 C 4 pens for $1.08 D 35 pens for $7.70 15 Stephanie can make $21.00 babysitting 2 nights. Which shows how much she can make babysitting 5 nights? 2D.2 A $55.00 B $42.00 C $52.50 D $105.00 16 Rayna can buy 2 sweaters for $15.00. What is the cost of 7 sweaters? 2D.2 A $52.50 B $67.50 C $75.00 D $105.00

34

18 The perimeter of an equilateral triangle with sides d is 36 inches. What is the perimeter of a similar triangle with 1 d? 2D.4 sides _ 4

19 Solve the equation. 2D.1 1.2 = 0.4m

20 Kyle takes 3 hours to paint 4 model cars. How long will it take Kyle to paint 6 model cars at this rate? 2D.2

21 It takes Charles 18 days to read 225 pages in his book. Find how many pages he reads per day. 2D.3

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

17 Fifty feet of chicken wire fencing will fence in a 15-foot by 10-foot animal pen. How many feet of fencing are needed to fence in a 15-foot by 20-foot pen? 2D.5 A 60 B 70 C 80 D 100

Write your answer in the space provided. Show all of your work.

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STRAND 2: Algebra The questions on this page are open-ended questions. Write your answer in the space provided. Show all of your work.

22 A popcorn company advertises that only 3 out of 400 kernels will fail to pop during cooking time. 2D.3 A. If you buy a bag of popcorn with 1,000 kernels, about how many kernels might fail to pop?

B. Is the company’s statement supported if 30 kernels out of a bag of 1,200 don’t pop?

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

23 A middle school is having a school dance. The school requires one adult to be at the dance for every 15 students. 2D.2 A. How many adults are needed if 123 students want to attend?

B. If 12 adults are volunteering for the dance, how many students can attend?

C. If the school changes the ratio of adults to students from 1:15 to 1:18, what effect will this have on the number of students who can attend?

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Standards Practice STRAND 3: Geometry 5-8 BENCHMARK: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships. (3A)

4 What is the value of x in the figure shown below? 3A.1 84˚ 122˚

Read each question and choose the best answer.

1 Which of the following statements about angles is true? 3A.7 A An obtuse angle has a measure between 90° and 180°. B An acute angle has a measure between 45° and 90°. C A straight angle has a measure of 90° or more. D A right angle has a measure of 180°. 2 Which of the following names a ray shown in the figure below? 3A.6 K F E D

G

A B C D

18° 68° 78° 102°

5 The White Sands Missile Range is located in south-central New Mexico. A local architect has designed a pyramid structure to mark the entrance to the missile range. Which statement is true about pyramids? 3A.3 A They have parallel circular bases. B They have two lateral faces. C They have two parallel faces called bases. D They have a polygon for a base and triangles for sides. 6 Which of the following figures can be classified as a regular polygon? 3A.4

H

___›

___›

A ___ EF › B DK

C ___ KG› D CF

1

3 Which figure names a segment contained ___ within PS? 3A.6 P ___

A QT ___ B SQ

36

Q

R

S

T ___

A B C D

Figure 1 Figure 2 Figure 3 Figure 4

2

3

4

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

C

76˚

x

C TR ___ D ST

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STRAND 3: Geometry 7 Maya is creating the flag of New Mexico for her state report. The center of the flag is a red sun with rays coming out from all sides. If she draws the radius of the sun at 6.4 inches, which shows its diameter? 3A.7 A 3.2 in. B 4.6 in. C 10 in. D 12.8 in.

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

8 The Palo Duro Senior Center in Albuquerque displays a circular floor mosaic made of small, colorful tiles in an Apache design. If the radius of the circle is 2.1 m, what is its approximate circumference? 3A.5 A 4.2 m C 9.6 m B 6.6 m D 13.2 m 9 Which equation can be used to find the radius of a circle when the circumference is 26 centimeters? 3A.7 A 26 = 2πr B 26 = 2π + r C 26 = 2π - r D 26 = 2 + πr 10 Which angle in the figure below is acute? 3A.2 D

A

A ∠DBC B ∠EBC

E

F

B

C

C ∠FBC D ∠ABC

11 A mountain bike trail east of Santa Fe travels a distance, turns sharply, travels an equal distance, and makes a final turn back to the start, a distance that is half of the other two legs of the trip. Which type of triangle is formed by the trail, including two equal sides and two equal angles? 3A.5 A isosceles B obtuse C right D scalene 12 Which of the following figures contains a right angle? 3A.2 A

B

C

D

13 Which model suggests a segment? 3A.6 A the edge of a desk B the door of a classroom C the tip of a pencil D the beam of a light

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STRAND 3: Geometry 14 Which correctly describes the polygon shown below? 3A.4

Write your answer in the space provided. Show all of your work.

17 What is the sum of the measures of angles P and R in the triangle shown below? 3A.1 R

A B C D

irregular polygon with 2 parallel sides regular polygon with 5 sides irregular polygon with 5 sides regular polygon with 2 congruent sides

102˚

P

Q

15 A sign builder proposes making a new sign for the Deming railroad station. The sign is shown below. Deming

16 The gift shop of the New Mexico Museum of Space History sells model rocket kits. The rockets come in several sizes. Manny wants to decorate the base of a rocket whose diameter measures 7 inches. Which formula can be used to find the circumference of the rocket? 3A.7 A C=7+π B C=π-7 C C = 7π D C = 7π2

38

19 Hannah is building a model of a pueblo village. She uses a block of clay to sculpt each pueblo. Count the faces and vertices of the block. 3A.3

20 Draw a regular polygon with 5 sides. 3A.4

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Which geometric figure would be used to make the sign? 3A.3 A sphere B ellipse C circle D cylinder

18 Draw and label acute, obtuse, and right triangles. 3A.5

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STRAND 3: Geometry The questions on this page are open-ended questions. Write your answer in the space provided. Show all of your work. ‹___›

21 MN is shown at the right. 3A.1 ‹__› ‹___› A. Draw ST so that it is parallel to MN.

M

N

‹___›

CD so that it is ___ perpendicular B. Draw and label ‹__› ‹___› ‹ › to MN and ST. Draw and label UV so that it intersects all three lines. C. Find and label one acute angle, one obtuse angle, and one right angle.

22 Each figure below can be modeled by a geometric figure. 3A.3

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

A. Draw and name the geometric figure that models each object.

B. Describe each figure by its properties by filling in the table below. Write NA if “not applicable.” Geometric Figure

Shape of Base(s)

Number of Vertices

Number of Edges

Shape of Side Face(s)

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Standards Practice STRAND 3: Geometry 5-8 BENCHMARK: Specify locations and describe spatial relationships using coordinate geometry and other representational systems. (3B)

3 Which geometric figure is formed by this net? 3D.1

5-8 BENCHMARK: Apply transformations and use symmetry to analyze mathematical situations. (3C) 5-8 BENCHMARK: Use visualization, spatial reasoning, and geometric modeling to solve problems. (3D) Read each question and choose the best answer.

1 Which best describes the relationship between triangle RST and triangle FED? 3D.1 E

D

S

R

T

A They are both right triangles. B The triangles are congruent. C The triangles are similar, but not congruent. D They are both equilateral triangles.

4 Brenden and his family take a drive along Interstate 40 from Albuquerque to Moriarity. Which type of lines can Brenden compare to the lanes on the highway? 3B.2 A skew C parallel B perpendicular D intersecting 5 Which two___ points lie on a line that is ‹ › parallel to AB shown on the graph below? 3B.1 4 3 2 1

2 How many lines of symmetry can be found in the figure below? 3C.1

A 0 B 1

40

C 2 D 3

triangular prism pyramid rectangular prism cone

4321O 1 A 2 3 4

A B C D

y

B 1 2 3 4x

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

F

A B C D

(-4, -2) and (2, -4) (-4, 2) and (2, -4) (4, -2) and (-2, 4) (4, 2) and (-2, -4)

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STRAND 3: Geometry 6 What are the coordinates of the vertices of the parallelogram below? 3A.1 4 3 2 1 321O 1 2 3 4

A B C D

y

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

y 6 5 4 Q 3 2 1

P

1 2 3 4 5 6x

X

(-3, -2), (1, 3), (6, -3), (4, 2) (-3, 2), (-1, -3), (-6, 3), (4, -2) (-3, -2), (-1, 3), (6, 3), (4, -2) (3, -2), (-1, 3), (6, 3), (-4, 2)

7 Which best describes the translation of ___ ___ RS to YZ? 3C.1 6 5 4 3 2 1 4321 O 1 2

A B C D

9 What are the coordinates of a triangle formed by points X, Q, and P on the graph below? 3B.1

y

R Y

654321O 1 2 Y 3

A B C D

S T

1 2 3x

Z

(-6, 0), (-3, -3), (-3, 6) (6, 0), (0, 3), (6, 3) (-6, 0), (0, -3), (-3, 6) (-6, 0), (0, 3), (-3, 6)

10 Yolanda is creating a model of her grandmother’s Navajo rug. The rug is designed with two different sizes of triangles arranged in a pattern. The two triangles are shown below.

S

2

1 2 3 4x

Z

move up 2, right 3 move down 2, right 3 move up 3, left 2 move down 3, right 2

8 Which best describes skew lines? 3B.2 A lines in the same plane that intersect B lines that are not in the same plane but are parallel C lines that are not in the same plane and are not parallel D lines in the same plane that are perpendicular

15

15

5

5

6

Which of these statements about the triangles is not true? 3D.1 A The triangles are similar but not congruent. B The triangles are congruent. C The triangles are isosceles triangles. D The triangles are acute triangles.

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STRAND 3: Geometry 11 Which of the figures below does not have rotational symmetry? 3C.1 A

C

B

D

14 Name the geometric figure shown below. 3D.1

12 Which of the following pairs of line segments in the figure below are parts of perpendicular lines? 3A.1 Q

S

T X

4 3 2 1

R

U V ___

___

A RS ___ ___and UV B WX and QR

___

C XU VU ___ and___ D ST and QR

13 Which are the vertices of triangle LMN shown below? 3B.1 M

L

5 4 3 2 1

4321O 1 2 3

15 Identify the coordinates of the midpoint between the points shown on the graph below. 3B.1

21 O 1 2 3 4

y

1 2 3 4 5 6x

16 Draw a figure with rotational symmetry of 120°. 3C.1

y

N 1 2 3 4x

17 Draw an obtuse triangle. A B C D 42

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

W ___

Write your answer in the space provided. Show all of your work.

(-2, 0), (-3, 5), (1, 2) (-2, 0), (3, -5), (-2, 1) (2, 0), (3, 5), (1, 2) (0, -2), (5, -3), (2, 1) Mastering the NMSBA, Grade 6

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STRAND 3: Geometry The questions on this page are open-ended questions. Write your answer in the space provided. Show all of your work.

18 The students in Mrs. Sanchez’s fourth grade class will plant New Mexico’s state flower, the yucca, into window boxes at the local community center. The two sizes of containers are shown below. 3D.1 6 in. 30 in. Figure 1

8 in.

8 in. 20 in. Figure 2

9 in.

A. Use the formula V =  × w × h to find the volume of both containers where  is length, w is width, and h is height. Which container would hold more?

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

B. State whether the figures are similar, congruent, or neither. Explain your answer.

19 Use the given coordinate plane to answer the following questions. 3B.1 A. Graph the following points on the coordinate plane: (2, -4), (7, 1), (4, 6), (1, 2), (5, -3), (-4, 0), and (-2, 5). B. Connect three points in Quadrant I to form a triangle.

7 6 5 4 3 2 1 54321 O 1 2 3 4 5

y

1 2 3 4 5 6 7x

C. Identify the coordinates of a point that can be added to the graph to form a parallelogram with points (1, 2), (-4, 0), and (2, -4).

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Standards Practice STRAND 4: Measurement 5-8 BENCHMARK: Understand measurable attributes of objects and the units, systems, and processes of measurement. (4A) Read each question and choose the best answer.

1 A van is 6 yards long. Which shows this measurement in inches? 4A.1 A 18 in. B 72 in. C 144 in. D 216 in.

3 Which best describes the approximate weight of a math book? 4A.2 A 1 mg B 1 dg C 1g D 1 kg

44

5 Which shows the appropriate measure for angle A? 4A.3

A

A B C D

4.5° 25° 45° 75°

6 A high school student ran the 200-meter race in 21.30 seconds. Which shows the length of the race in kilometers? 4A.1 A 0.02 km B 0.2 km C 2 km D 20 km

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

2 Andrew cuts a piece of wire that is 12 centimeters plus 7 millimeters long. He needs to divide this piece in half. What would be the measure of each half, to the nearest millimeter? 4A.4 A 13 mm B 19 mm C 64 mm D 84 mm

4 Karen took 56 cups of motor oil to the recycling center. Which shows this amount in gallons? 4A.1 A 3.5 gal B 7 gal C 14 gal D 17 gal

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STRAND 4: Measurement 7 Marva wants to make a necklace and a bracelet using a 24-inch chain. She cuts 3 inches of chain for the necklace. 18_ 16 Which shows the amount left for the bracelet? 4A.4 A 5_ in. 16 13

B 6_ in. 16 3

C 6_ in. 16 9

D 7_ in. 16 6

8 Which describes the approximate length of the line segment shown below? 4A.2 in.

1

2

3

A 1_ in. 8 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

7

B 2 in. C 2_ in. 8 1

D 2_ in. 8 3

9 Jason wants to determine the area of the school playground. Which unit of measure should he use? 4A.3 A square centimeters B square inches C square feet D square miles

10 Which measurement best describes the approximate length of a baseball bat? 4A.2 A 1 cm B 1m C 1 mm D 1 km 11 Arjun wanted to find out how much water his bathtub could hold. Which unit of measure should he use to best estimate this amount? 4A.3 A ounces B cups C pints D gallons 12 The roadrunner is the state bird of New Mexico. Which best describes the approximate length of an adult roadrunner? 4A.2 A 0.5 m B 0.5 cm C 5m D 5 cm 13 Which answer properly completes the conversion shown below? 4A.1 17,000 milligrams = grams A 1.7 B 17 C 170 D 17,000



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STRAND 4: Measurement ___

14 What is the measure of DF to the nearest millimeter? 4A.4 D

F

cm

1

2

3

4

A 3.3 cm

C 37 mm

cm B 3_ 2

D 40 mm

1

5

6

15 The longest side of the rectangle below measures 7 centimeters. Which could be the perimeter of the rectangle? 4A.3

Write your answer in the space provided. Show all of your work.

17 If pure silver costs $12.00 per ounce, how much would two pounds of silver cost? 4A.4

18 Eileen needs 144 inches of fabric. How many yards of fabric is this? 4A.1

7 cm

A 7 cm B 14 cm

C 24 cm D 36 cm

46

20 The average number of people per square mile in New Mexico is 12. Estimate the number of people that you would expect to find in 2,500 square miles. 4A.2

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

16 Mariah’s fully loaded touring bicycle weighs 32.5 kilograms. Which shows this weight in grams? 4A.1 A 0.0325 gm B 0.3250 gm C 3,250 gm D 32,500 gm

19 Find the area of a square section of lawn with sides that measure 16 yards. 4A.3

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STRAND 4: Measurement The questions on this page are open-ended questions. Write your answer in the space provided. Show all of your work.

21 A rectangular patio is 5 yards long and 2 yards wide. 4A.1 A. Draw and label a diagram of the patio.

B. Convert the length and width into feet.

C. Compute the area in square yards and square feet.

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

22 The floor plan of a living room is shown below. You are asked to visit the room with your measuring tools and find the perimeter and area. 4A.3

A. Explain how you would find the perimeter of the room. What unit of measurement would you use?

B. What unit of measurement would you use to find the area of a room?

C. If you wish to put a fish tank in the corner, what measure would you use to describe the capacity of the fish tank?

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Standards Practice STRAND 4: Measurement 5-8 BENCHMARK: Apply appropriate techniques, tools, and formulas to determine measurements. (4B) Read each question and choose the best answer.

1 Dante pours 700 milliliters of water into a 1-liter jug. Which describes the fullness of the jug? 4B.3 A about _ full 7 1

B about _ full 4 1

4 Grady is passing out water from a full 10-gallon jug at the city’s half-marathon race. Which is the best estimate of the number of 6-ounce cups he can fill? 4B.3 A about 128 B about 160 C about 200 D about 1,280 5 The average annual snowfall in Albuquerque is 11 inches. If it snowed on 14 days of the year, which shows about how many inches fell each day? 4B.1

C about _ full 2

A about _ in. 11

D about _ full 4

B about _ in. 4

1 3

1

3

C about _ in. 11 14

3 Which equation can be used to find the perimeter of a square with sides measuring 14 inches? 4B.2 A P = 4 + 14 B P=_ 4 14

C P = 4(14 - 4)

D about 1_ in. 2 1

6 Which unit of measure can be used to find the length of a delivery truck? 4B.4 A meter B gram C liter D kilometer 7 Which of the following has the greatest capacity? 4B.3 A a 12-ounce bottle B a 2-quart pitcher C a 6-pint jug D a half-gallon carton

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

2 Mandy’s teacher asks her to measure the angles formed by two intersecting lines. Which measurement tool does she need? 4B.4 A a protractor B a compass C a millimeter ruler D a scale

D P = 4 × 14

48

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STRAND 4: Measurement 8 A piece of wood measures 1 meter plus 6 centimeters. Another piece of wood measures 28 centimeters less than the first. Which shows the length of the shorter piece of wood? 4B.1 A 62 cm B 78 cm C 82 cm D 88 cm

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

9 An elephant at the Rio Grande Zoo weighs 5 tons. Which shows how many pounds two of these elephants would weigh? 4B.1 A 5,000 lb B 2,000 lb C 10,000 lb D 20,000 lb 10 The perimeter of a rectangle is 27 centimeters. If the length is 9 centimeters, what is the width? 4B.2 A 3 cm B 4.5 cm C 9 cm D 18 cm 11 In the drawing below, angle LMN is 42 degrees. What is the approximate measure of angle NMP? 4B.3

12 Elana spent 45 minutes doing her homework on Monday, 27 minutes on 1 hours on Wednesday, and Tuesday, 1_ 2 30 minutes on Thursday. How much time did she spend doing homework during the week? 4B.1 A 2 h 57 min B 3 h 12 min C 3 h 20 min D 4 h 2 min 13 Which of the following would most likely weigh 6 grams? 4B.4 A a pencil B a radio C a brick D a shopping cart 14 Tammy has a square sheet of poster board with sides measuring 22 inches. She has another rectangular sheet that is 14 inches wide. If Tammy wants both pieces to have the same perimeter, how long will the rectangular sheet need to be? 4B.2 A 8 in. B 15 in. C 30 in. D 60 in.

N

L

A B C D

M

P

about 40° about 50° about 95° about 140°

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STRAND 4: Measurement 15 Red River Ski Area covers 290 acres. Taos Ski Valley has an area about 4 times larger. What is the approximate size of Taos Ski Valley? 4B.3 A about 1,200 acres B about 2,200 acres C about 3,600 acres D about 7,000 acres

Write your answer in the space provided. Show all of your work.

16 Jason sprinted across the football field. Which measure might best represent the distance he ran? 4B.4 A 60 in. B 6.0 ft C 60 yd D 6.0 mi

19 The sum of the angles of a triangle is 180 degrees. What is the measure of the missing angle in the triangle shown below? 4B.3

50

?

48˚

57˚

20 The average January temperature range in Roswell is -6.1 degrees to 12.9 degrees Celsius. How large is the range in temperature? 4B.1

21 Ben left his house at 9:35 A.M. He returned 3 hours later. What time was it home 3_ 4 then? 4B.1

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

17 Every year on New Year’s Day farmer Joel E. Rodriguez walks the property line of his rectangle shaped 640 acre property. 1 Starting at the southwest corner he walks _ 2 mile to the northwest corner. He then turns and walks 2 miles farther to the northeast corner where he stops for lunch. How much farther must he walk to complete his perimeter walk and return to his starting point? 4B.2 1 A 1_ miles 4 B 320 acres 1 C 2_ miles 2 D 5 miles

18 A square has side lengths of 8 inches. A larger square is twice the length of the first square. Find the perimeter of the larger square. 4B.2

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STRAND 4: Measurement The questions on this page are open-ended questions. Write your answer in the space provided. Show all of your work.

22 A wall in an office building measures 15 feet by 38 feet. A local artist has painted a mural that will hang on the wall. The mural is 12 feet high and has an area of 264 square feet. 4B.2 A. Find the length of the mural.

B. Find the perimeters of the mural and the wall.

C. What is the difference between the perimeter of the wall and the perimeter of the mural?

23 Calista made a bowl of fruit punch for her party. The recipe is shown below. 4B.1

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Party Punch Splash 2 qt orange juice 6 oz frozen pineapple juice 1 24-oz can fruit punch 1 gal sparkling water 1 qt apple juice 2 Mix ingredients in large punch bowl and stir well. Serve over ice. Makes 24 servings.

A. How many ounces of punch can Calista serve from this recipe?

B. The recipe states that it makes 24 servings. How many ounces of punch are in one serving? C. If Calista decides to cut the recipe in half, approximately how many quarts of punch will she make? Round your answer to the nearest quart.

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Standards Practice STRAND 5: Data Analysis and Probability 5-8 BENCHMARK: Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them. (5A) Read each question and choose the best answer.

1 Which best describes the mean and range of this set of data? 5A.3 2, 2, 3, 8, 8, 9, 10, 14 A The mean is 8 and the range is 14. B The mean is 8 and the range is 12. C The mean is 7 and the range is 14. D The mean is 7 and the range is 12.

3 What is the median of the set of data? 5A.8 4.4, 5.6, 6, 8.9, 10, 10, 13.2 A 6 B 8.3 C 8.9 D 10

52

Books Read in One Month

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14

What is the range of the data? 5A.1 A 10 B 8 C 6 D 2 5 Cheyenne wants to display data on her swim team’s winning times to the nearest one-thousandth of a second. What would be the best way to display the individual times? 5A.10 A a box-and-whisker plot B a stem-and-leaf plot C a bar graph D a tree diagram 6 Which of the following statements is not true about using a sample for a survey? 5A.7 A A sample can be used to make estimates about a population. B A random sample is likely to be representative of the entire population. C The smaller the sample, the more reliable the estimate will be. D A random sample is one in which each member of the population has an equal chance to be selected.

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

2 A market research firm wants to target customers that fit the mean age of New Mexico’s 2 million people. Which population below would be the best sample to represent the entire state? 5A.6 A Five hundred students at a high school in Clovis. B Five hundred people called randomly from the Albuquerque phone book. C Five hundred people at a movie theater. D Five hundred people in a hospital.

4 The number of books read by students in one month is shown in the box-andwhisker plot below.

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STRAND 5: Data Analysis and Probability 7 Parissa creates the circle graph below showing the values of the state’s natural resources. Natural Resources of New Mexico, 1990s Coal $555,000,000

Copper $750,000,000

Natural Gas, $1,600,000,000

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Petroleum $1,500,000,000

Which statement is true for the data collected? 5A.4 A The total value of the resources is more than $4 billion. B The value of copper is twice the value of petroleum. C Petroleum is the largest natural resource in the state. D The value of coal exceeds the value of copper. 8 Mariah wants to find information on the weight of adults for her research report on health issues. Guillermo suggests that she choose a random sample of adults and ask their weight. Why does Mariah decide that this would not be a good sample? 5A.7 A Adults may not know how much they weigh. B Adults may not tell her their true weight. C The sample may not represent all adults. D The sample does not include children.

9 Dennis wants to keep track of the daytime temperature in downtown Albuquerque. He decides to use a thermometer to measure the temperature at noon on every Sunday for 52 weeks in a row. What is the best way for Dennis to describe this data? 5A.5 A Make a list of all 52 temperatures. B Find the median of all the temperatures. C Find the mode and the median temperatures. D Find the mean and the range of temperatures. 10 Sierra adds to her bank account from her allowance each week. She keeps track of the balance as it increases. Which type of graph would best display her money’s growth over time? 5A.10 A a stem-and-leaf plot B a line graph C a circle graph D a box-and-whisker plot 11 Which statement is true about the set of data? 5A.3 10, 11, 11, 12, 16 A The mean is greater than the mode. B The mode is greater than the mean. C The mean is equal to the mode. D The mean is equal to the median. 12 There are about 88,090 kilometers (about 54,735 miles) of federal, state, and local roads across New Mexico. The state transportation department wants to display data about the roads in each county. Which methods would represent the best ways to show this data? 5A.2 A circle graph or bar graph B line graph or line plot C stem-and-leaf plot or bar graph D frequency table or circle graph Mastering the NMSBA, Grade 6

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STRAND 5: Data Analysis and Probability 13 A probability experiment consisted of repeatedly rolling a six-sided number cube. The results were recorded in the frequency table shown below. Number

1

2

3

4

5

6

Frequency

2

8

6

7

3

1

Based on the data in the table, how many times does an even number occur? 5A.11 A 6 B 8 C 16 D 28 14 What is true about the set of data below? 5A.3 $5.50, $8.00, $5.50, $6.00, $5.50, $7.50 A The range is $5.50. B The mode is $2.50. C The mean is $6.00. D The median is $5.75.

16 What is the median of the set of data? 5A.9 122, 136, 139, 153, 153, 164 A 139 B 144.5 C 146 D 153

54

17 What is the range for the set of data below? 5A.3 47, 56, 57, 63, 89, 44, 56

18 List the data set for the stem-and-leaf plot below. 5A.11 Stem Leaves 4

17

5

37

6

0

7

569

2

3 = 23

19 Jackson rolled a number cube several times. Display the results below in a frequency table. 5A.1 4 1 3 4 2 1 2 5 2 3 5 1 6 1 3 5 6

20 Find the mean, median, and mode for the set of data below. 5A.3 93, 95, 96, 96.5, 98, 99, 100.5, 102, 102

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

15 Soraya wants to take a survey to find out the most popular brand of bicycle in her town. Who should she interview in order to get the best sample for her data? 5A.6 A students at her school B customers at the local doughnut shop C her family members D bicycle riders in the park

Write your answer in the space provided. Show all of your work.

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STRAND 5: Data Analysis and Probability The questions on this page are open-ended questions. Write your answer in the space provided. Show all of your work.

21 The line plot below shows the number of pets owned by each student in Mr. Drake’s class. 5A.2 Pets Owned by Students

  

      

0

1

   

       

 

2

3

4

   5 or more

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

A. Create a frequency table that represents the data in this line plot. B. If Mr. Drake included his 7 pets into the data set, how would the line plot be changed?

22 Chelsea works part-time at a jewelry store 20 hours each week. She runs the cash register for one 4-hour shift, stocks jewelry for 7 hours each week, prices items for 5 hours each week, and assists customers in the store for the remainder of her time. 5A.4 A. Sketch a circle graph to display the data. B. Explain why a circle graph is a more effective display for this kind of data than any other kind of graph.

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Standards Practice STRAND 5: Data Analysis and Probability 5-8 BENCHMARK: Select and use appropriate statistical methods to analyze data. (5B) Read each question and choose the best answer.

1 The manager of a local ice cream store wants to research the age ranges of her customers. Which type of graph would best represent this data? 5B.1 A line graph C stem-and-leaf plot B histogram D scatter plot

3 Jasmin has taken 8 history quizzes and wants to figure out her mean score. However, one of her quiz scores is missing. She decides to add up the 7 quiz scores and divide by 7. Which statement below is true about the mean score she computed? 5B.2 A Jasmin’s score is too low. The actual mean will be higher. B Jasmin’s score is too high. The actual mean will be lower. C Jasmin’s score is about the same as the real mean. D There is no way to tell the mean without knowing the missing score. 56

Which measure would give the most useful information about this set of data? 5B.3 A minimum C mode B maximum D range 5 Seventeen red-tailed hawks are captured by a wildlife biologist. Each hawk’s weight and wingspan are measured before the hawk is released. The biologist wishes to study the relationship between weight and wingspan measurements. Which of the methods below is the best way to organize this data? 5B.1 A histogram C stem-and-leaf plot B scatter plot D frequency table 6 The New Mexico Department of Fish and Game wants data on the length of fish caught in a lake. An employee fishes from a dock for 2 hours and catches 19 fish to measure. Why is this not a good sample of all the fish in the lake? 5B.7 A The fish were caught from the same place. B Not enough fish were caught. C The fish were caught by the same person. D The fish were caught at the same time of day. 7 There are 54 musicians in a middle school band. Of the 30 girls in the band, 12 are in sixth grade. The other 18 girls are in seventh grade. Of the 24 boys in the band, 11 are in sixth grade and 13 are in seventh grade. Which method is the best way to organize this data? 5B.1 A histogram C stem-and-leaf plot B scatter plot D frequency table

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

2 Ivan wants to know which CD is the most popular among students his age. Which survey plan should he follow to get a good sample? 5B.4 A Choose 30 students at random to be interviewed. B Choose 50 people listening to CD players at the park. C Interview 25 students leaving music class. D Interview every fifth person leaving the music store.

4 The heights in inches of the middle school basketball team are listed below. 72 68 68 68 70 68 69 68

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Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

STRAND 5: Data Analysis and Probability 8 Stephanie wants to know how her classmates feel about taking tests on Fridays. She asks 15 students at random, “Don’t you just hate those tests on Fridays?” How will this question most likely affect the outcome of her survey? 5B.6 A The students will laugh and not take her question seriously. B The students will be more likely to answer, “Yes.” C The students will be more likely to answer, “No.” D The students will not understand the question.

11 Robbie recorded the number of miles he hiked each day while on a camping trip in the Sangre de Cristo Mountains. On the third day, Robbie hiked 6.2 miles, but mistakenly recorded 0.62 miles. In which way is the outcome of his data certain to be affected? 5B.3 A He will have a mean score that is lower than the actual mean. B He will have a median that is about 5 miles lower than it should be. C The error will change the mode of his data. D The mistake will have no effect on the outcome.

9 A high school principal notices that 60% of suggestions on improving the school involve increasing the number of teachers. The principal claims, “Most parents want me to hire more teachers.” Which statement below is correct? 5B.8 A His claim is true because 60% is more than half. B His claim is false because the parents did not hire him. C His claim is true because he also wants to hire more teachers. D His claim is false because not all parents of every student in the school voiced their opinions.

12 According to the Chamber of Commerce, the median age of the people living in the city of Las Cruces is 31 years. Why is the median used to report the average age? 5B.3 A It will not be affected by ages of the very old or very young. B It is easier to compute than the mean. C It will not matter if some ages are reported incorrectly. D It will be the same as the mean age.

10 There are 22 students in Eli’s sixth grade class. All of the students are either 11 or 12 years old and the median age of the students is 12. If the teacher’s age is added to the data, what will be true about the median for this new set of data? 5B.3 A It will be more than 12. B It will be less than 12. C It will still be 12. D It will be between 11 and 12.

13 Enrico decides to survey a sample of 15 students from his school of 600 to find out which assemblies they would like to see. What is the best way for him to select a sample for this survey? 5B.5 A Select the first 15 students in the lunch line. B Select 15 students that he knows from his class. C Select 15 students at random from a list of all 600 students. D Select 15 names at random from the phone book.

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STRAND 5: Data Analysis and Probability 14 Which question would result in the best set of data for a survey about the school’s cafeteria choices? 5B.6 A What is your favorite meal to eat at the school cafeteria? B How much do you really like the food in the cafeteria? C Don’t you think the cafeteria should offer more choices? D Shouldn’t there be snack machines at school?

16 A parks and recreation official wanted to know how many more people would visit Carlsbad Caverns National Park if the admission fees were reduced. Staff interviewed every tenth person over the age of 18 leaving the park. Which of the following tells why this sample is biased? 5B.5 A The sample is small. B The sample only includes adults. C The sample includes people who visit national parks. D The sample does not include people who do not visit the park. 58

17 For a comparison on the cost of digital cameras, Gerri plans to interview 15 members of the digital photography club. What is one possible limitation of this sample? 5B.4

18 A baseball team won the following number of games in the last 10 seasons. 30, 28, 24, 32, 24, 25, 27, 28, 30, 25 The mean number of games won each year is 27.3 and the median is 27.5. This year, however, the team is less successful and expects to win fewer than 5 games. If this occurs, and the new number of wins is included with the rest of the data, how will the mean and the median change? 5B.3

19 A sample of seventh grade students was taken to report on their height. The data, in inches, is displayed in the stem-and-leaf plot below. 4

8

5

2 8 9

6

0 0 1 3 4

7

0 0 0 1 1 2 3 4 3 = 4 feet 3 inches

Based on the data, why is the sample probably not representative of all seventh graders? 5B.7

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

15 Mrs. Foster wants to know if student reading levels affect test scores. She takes a random sample of 32 of her own students and records the scores of each. What is true about the mean scores of her students? 5B.4 A They are the same as the mean scores of students throughout her school. B They are the same as the mean scores of students throughout her district. C They are the same as the mean scores of students throughout her state. D They cannot be applied to a larger group.

Write your answer in the space provided. Show all of your work.

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STRAND 5: Data Analysis and Probability The questions on this page are open-ended questions. Write your answer in the space provided. Show all of your work.

20 Grants Airport reported the following average monthly wind speeds in miles per hour for June through December, 1992 to 2002. 5B.3 9.9 8.0 7.3 7.8 8.6 7.7 7.5 A. Identify the value that is the outlier of the data. What is the median of the data with the outlier? What is the median of the data without the outlier? Round your answers to the nearest tenth.

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

B. Find the mean with the outlier and without the outlier. Round your answer to the nearest tenth. How do they compare?

22 A toothpaste manufacturer hires 10 people to be in a study. All 10 are sent to a dentist to make sure that they have no cavities. Next they are trained to brush their teeth correctly using the toothpaste. They are told to brush at least 6 times each day. After 2 months, the group is sent back to the same dentist, who examines their teeth to determine if they have cavities. The dentist is then asked to compare his findings to the mean number of cavities found among his other patients. 5B.8 A. Does this sample represent the entire population? What are at least 3 factors that may affect the outcome of the study?

B. The toothpaste manufacturer looks at the data and then claims, “People who brush with our toothpaste have fewer cavities.” Which of the following interpretations of this claim are most likely to be true? Explain your answer. 1. No one who uses this toothpaste will get any cavities. 2. Everyone who uses this toothpaste will have fewer cavities. 3. Some of the people who use this toothpaste will not get any cavities. Mastering the NMSBA, Grade 6

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Standards Practice STRAND 5: Data Analysis and Probability Read each question and choose the best answer.

1 Felicia and Daniel recorded the time they spent on exercise over a period of 6 weeks. Their results are shown on the graph below. Time Spent on Exercise 120

2 Torsten asks his friend to pick a number at random from the following numbers: 11, 9, 27, 16, 59, and 3. Based on the odds, which of the following outcomes would he expect? 5C.4 A a number less than 15 B an odd number C an even number D a multiple of 9

100

3 How many four-digit numbers can you make by arranging the numbers 2, 6, 4, and 9 without repeating? 5C.3 A 10 C 24 B 16 D 48

Felicia Minutes

80 60 40

Daniel 20 1

2

3

4

5

6

Weeks

4 The data below show the results of a survey taken on the relationship between years of education and income earned. Income and Education

60

Years Completed

Average Annual Income

8

$10,000.00 - $20,000.00

10

$30,000.00

12

$20,000.00 - $60,000.00

14

$50,000.00 - $90,000.00

16

$70,000.00 - $120,000.00

Based on the data, which of the following claims cannot be made? 5C.1 A Those that completed 12 years of education made twice the salary of those completing only 8 years. B Those that completed 16 years of education made up to four times the salary of those completing 10 years. C Of those surveyed, more education resulted in a higher income. D Of those surveyed, people that made a higher income spent more money on their education.

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Which statement about the line graph is true? 5C.2 A Felicia exercised more over 6 weeks, but Daniel did more exercise the last 3 weeks. B Both Daniel and Felicia did equal amounts of exercise over the 6-week period. C Overall, Daniel exercised for more minutes than Felicia, even though he got off to a slow start. D Daniel’s level of exercise climbed between weeks 4 and 5, while Felicia’s level of exercise dropped sharply during that same period.

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STRAND 5: Data Analysis and Probability 5 A chain of department stores recorded umbrella sales during the rainy season. What conclusion can be drawn from the graph below? 5C.2

Number of Umbrellas

Monthly Umbrella Sales 100

8 Each month, Mrs. Martini chooses an A-line leader and a B-line leader from her class of 26 students. In how many different ways could she choose two line leaders? 5C.3 A 13 C 325 B 52 D 650

80 60 40 20 0

Jun

Jul

Aug

Sep

Month

A Umbrellas sales more than doubled from July to August. B June and September were the slowest months of the year for umbrella sales. C Sales dropped sharply from July to August. D After September, no more umbrellas were sold by the store for the rest of the year. Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

7 In how many ways can Haley, Drake, Lupita, Julia, and Ahmed stand in line? 5C.3 A 5 C 60 B 20 D 120

6 Teri spins a spinner with four equal sections 10 times. The results of her trials are shown in the chart below.

9 Jake rolled a number cube 20 times. He got an even number 16 times. He got his favorite number, 3, only once. What conclusion can Jake draw from these results? 5C.2 A He will land on 3 only once every 20 rolls. B There are more even numbers than odd numbers on the cube. C If he rolls the cube 100 times, he will land on an odd number 20 times. D He landed on 1 or 5 only 3 times in 20 rolls.

Spinner Outcomes A

B

C

D

II

IIII

I

III

If Teri spins the spinner one more time, what is the theoretical probability that she will land on the letter D? 5C.4 1 A _

4 3 B _ 10

10 You have 4 playing cards: the Old Maid and three others. How many ways can you arrange the four cards in your hand? 5C.3 A 4 C 16 B 8 D 24

3 C _ 5 3 D _ 4

11 Brianna gets an ice cream sundae after school once a month. There are 5 different toppings to choose from. How many ways can she choose 2 out of the 5 toppings for her sundae? 5C.3 A 5 C 10 B 7 D 15 Mastering the NMSBA, Grade 6

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STRAND 5: Data Analysis and Probability 12 A computer company shows figures that reflect a 25 percent increase in sales after running a TV commercial for 4 weeks. What claim can the company make about its product? 5C.1 A One in every four people now own one of its computers. B Computer sales were boosted by the TV commercial. C Of the general population, 25% watched the company’s commercial and decided to buy a computer. D TV commercials are more effective than radio ads in bringing in sales. 13 How many different 3-letter monograms are possible from the letters J, M, and B? 5C.3 A 6 C 3 B 4 D 1

Average State Precipitation (in.) May

June

July

Aug.

Sept.

Oct.

0.92

1.17

2.27

2.58

1.87

1.17

If the average annual precipitation is 13.85 inches, what conclusion can be made from the data? 5C.2 A The precipitation averaged about 1 inch for each of the 6 months listed. B Most of the state’s precipitation occurs in the months between May and October. C Most of the state’s precipitation occurs in the months between November and April. D The state’s precipitation is evenly distributed through each month in the year. 62

15 The probability of tossing a coin and landing on heads is: 5C.4 P = ___ = _ 2 number of favorable outcomes number of possible outcomes

1

Explain how you might toss 3 coins and get 3 heads.

16 Marcus is the captain of his basketball team. He needs to put the team in squads of 5 players so that everyone has a chance to play. How many teams of 5 can he make with 7 players? 5C.3 17 A TV commercial claims, “Seven out of ten people prefer our product.” Explain why the phrase “seven out of ten people” may not be the same as 70% of all people. 5C.1 18 Trisha wanted to start a pet sitting business. She took a survey of the families on her block to find out what kinds of pets they owned. She displayed the data in the circle graph below. Neighborhood Pets Others 2% Small Mammals 6% Reptiles 15% Fish 11% Birds 8%

Dogs 42% Cats 16%

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

14 The average precipitation totals in New Mexico for the months of May to October are shown in the table below.

Write your answer in the space provided. Show all of your work.

Which 3 kinds of pet owners should Trisha focus on to make the most money? 5C.2

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STRAND 5: Data Analysis and Probability The questions on this page are open-ended questions. Write your answer in the space provided. Show all of your work.

19 Connie rolled a number cube 100 times Number 1 2 3 4 5 6 and recorded the results in a table. 5C.4 Frequency 14 26 16 22 12 10 A. Out of 100 rolls, how many times would Connie expect to roll each number on the cube? Which number came closest to meeting the expected probability? Which number was farthest?

B. If Connie repeats the experiment for another 100 rolls, what would the expected outcome be?

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

20 According to the U.S. Census Bureau, the population of New Mexico increased by approximately 20.1% from 1,515,069 in 1990 to 1,819,046 in 2000. The table summarizes the percentage of the total population in each of three age groups for these two years. 5C.1 Year

Under 18

18–64

65 and Over

Total

1990

29.5%

59.7%

10.8%

100%

2000

28.0%

60.3%

11.7%

100%

A. Carmine claims that although the under-18 population decreased, the population increase for the 65 and over group makes up for this decline. Is this a valid claim? Explain why or why not.

B. How would you present this information in a less misleading fashion? Explain why your table or graph more clearly displays information.

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Standards Practice STRAND 5: Data Analysis and Probability 5-8 BENCHMARK: Understand and apply basic concepts of probability. (5D) Read each question and choose the best answer.

1 Jonathan flips a coin 100 times. The coin lands on heads 76 times and on tails 24 times. What is the probability that it will land on heads the next time he flips the coin? 5D.2 1 A _ 2

6 B _ 25

19 C _ 25

D 1

33

3 B _ 33 5 C _ 33

5 A spinner has 4 equal sections with colors blue, red, black, and yellow. A number cube has numbers from 1 to 6. If you spin the spinner and roll the cube, which of the following events is most likely? 5D.1 A landing on red and a number greater than 4 B landing on black and an even number C landing on yellow or blue and the number 4 D landing on blue and the number 3 6 A jar contains 3 yellow, 5 blue, 2 red, and 4 green marbles. If you pick two marbles at random how many different color combinations are possible? 5D.4 A 4 B 8 C 10 D 16

8 D _ 33

3 Which of the following statements about probability is not true? 5D.6 A The probability of a certain event is 1. B The probability of an unlikely event is -1. C The probability of a likely event lies between 0.5 and 1. D The probability of an impossible event is 0. 64

7 Jeffrey has scored a goal 15 times out of his last 20 attempts. What is the probability that Jeffrey will not score the next time he kicks the ball toward the goal? 5D.5 A 0.25 B 0.30 C 0.50 D 0.75

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

2 Muriel bought a pack of assorted stickers. The pack contains 40 flowers, 20 rainbows, 12 animal stickers, and 60 alphabet letters. If Muriel picks a sticker at random, what is the probability that she will choose either a rainbow or an animal sticker? 5D.3 1 A _

4 Lauren had a bag with 4 red, 6 blue, 5 yellow, and 9 green marbles. If she picks a marble at random, what is the probability that it will be blue or yellow? 5D.2 A 1 out of 24 B 1 out of 11 C 11 out of 13 D 11 out of 24

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STRAND 5: Data Analysis and Probability 8 Wei used colored paper for her scrapbook. She had 6 lavender, 5 sky blue, 3 pink, and 10 canary yellow sheets of paper. What is the probability, P, that Wei will choose a pink sheet of paper for her next page? 5D.6 1 A _ 3 1 B _ 8

3 C _ 10

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

3 D _ 21

9 Which best describes independent events? 5D.7 A The outcome of the first event does not affect the second event. B The options available for the second selection are not the same as the first selection. C The outcome of the first event does affect the second event. D The object selected in the first event is not replaced. 10 A spinner has 6 equal sections numbered 1 to 6. A number cube also has 6 numbers from 1 to 6. If you spin the spinner and roll the cube, which best describes the chance for an outcome of getting two sixes? 5D.1 A certain B impossible C likely D unlikely

11 Franklin rolls a 6-sided number cube and spins a spinner with four equal sections labeled A, B, C, and D. What is the probability that he will roll an odd number on the cube and land on a vowel on the spinner? 5D.6 1 A _ 6

1 B _

8 1 C _ 10 1 D _ 24

12 Gretchen and Deb baked 250 cookies for the school bake sale. One hundred twenty cookies are chocolate chip, 60 are oatmeal raisin, and the rest are sugar cookies. If Deb’s little brother took a cookie at random, what is the probability that he took a sugar cookie? 5D.5 1 A _ 3

7 B _

25 5 C _ 12 3 D _ 5

13 What is the probability of rolling a 3 on each of two number cubes with numbers 1 to 6? 5D.3 1 A _ 36 1 B _ 12 1 C _ 6 1 D _ 3

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STRAND 5: Data Analysis and Probability 14 Colin draws a card from a deck that contains 2 red cards, 5 green cards, and 9 blue cards. He then draws another card without putting the first card back into the deck. What is the probability of drawing a green card and then a red card? 5D.7 1 A _ 24 2 B _ 16 7 C _ 16 7 D _ 24

15 If two coins are flipped 100 times, about how many times would they both land on heads or on tails? 5D.2 A 25 B 50 C 75 D 100

66

17 If you toss a coin and spin a spinner with 4 equal sections numbered 1 to 4, what are all the possible outcomes? Are they all equally likely? 5D.1

18 Tanja received scores of nine or higher on 6 of her last 7 dives in competition. What is the probability that her next dive will receive a similar score? Express your answer as a decimal, rounded to the nearest hundredth. 5D.5

19 Dwayne rolls a number cube numbered from 1 to 6. What is the probability of drawing a number greater than 2? 5D.3

20 A deck of cards has 2 green, 3 orange, and 3 yellow cards. List all the possibilities of picking 2 cards from the deck. If the first card is returned to the deck, what is P(the first card is green and the second card is green)? 5D.4

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

16 Which of the following best describes two dependent events? 5D.7 A Drawing a card from a deck and drawing another after replacing the first. B Spinning a spinner, and spinning it again. C Tossing a coin twice. D Selecting a marble, then selecting another marble without replacing the first.

Write your answer in the space provided. Show all of your work.

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STRAND 5: Data Analysis and Probability The questions on this page are open-ended questions. Write your answer in the space provided. Show all of your work.

21 Niran saves his coins in a box. The chart Half Quarters Dimes shows a record of the types and number Dollars of coins. 5D.7 7 29 32 A. If Niran selects a coin from the box, what is the probability that it will be a nickel? If he puts the nickel back, what is the probability he will next select a coin more valuable than a dime?

Nickels

Pennies

55

47

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

B. If Niran selects two coins from the box, one after the other, what is the probability he will select a quarter and then a nickel? Remember, he is not replacing any coins before selecting the next one. Describe your answer as a decimal, rounded to the nearest hundredth.

22 Shayna’s yearbook committee is holding a pizza night to raise funds. Either a medium or large pizza is offered, with one of 3 toppings, and thick or thin crust. 5D.4 A. Create a tree diagram to show all possible ways to make a pizza in 2 sizes, with 3 toppings, and 2 kinds of crust. How many different possible pizzas are there?

B. If all combinations are equally likely, what is the probability that a customer will order a large pizza with the first topping and a thin crust? C. Is it more likely, less likely, or equally likely that a customer will order a thick crust pizza than a thin one? Mastering the NMSBA, Grade 6

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Practice Test Read each question and choose the best answer. 1 Randy rolls a 6-sided number cube and tosses a coin. Which best describes the probability that Randy will roll a 6 and land on tails? A impossible B certain C likely D unlikely

4 Which answer completes the proportion? 10 b _ =_ 4 8 A B C D

b=8 b = 16 b = 18 b = 20

5 A shoe store at the Roswell Mall sells several popular brands at the prices listed below.

2 The life spans of some native desert animals are listed in the table below.

Shoe Prices $32.00 $28.00 $36.00

Desert Animal Life Spans Animal

Life Span (yr)

$99.00

Black-tailed Prairie Dog

8

$29.00

Golden Eagle

18-40

$37.00

Gopher Snake

20-25

$45.00

15

$28.00

Javelina Mountain Lion

10-15

Which measure would give the most useful information about this set of data? A median B mean C mode D range

15

Which animal has a life span approximately 3 times the life span of the black-tailed prairie dog, but shorter than the golden eagle? A Mexican gray wolf B javelina C gopher snake D mountain lion

6 Which decimal is equivalent 7 ? to _ 16

3 Erika can buy 12 CD cases for $5.85. At that rate, how much will she need to buy 20 CD cases? A $9.36 C $11.70 B $9.75 D $13.85

68

A B C D

0.2286 0.2857 0.4375 0.4600

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Mexican Gray Wolf

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7 What is the median for the following data set? 145, 112, 166, 175, 134, 163, 169 A 148 B 154 C 163 D 175

10 Which conclusion can be made based on the diagram below? Student Ice Cream Survey Like Vanilla

Like Chocolate

12

21

6

8 Which of the following figures can be classified as a regular polygon?

1

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

A B C D

2

3

figures 1 and 3 figures 2 and 3 figure 2 only figure 3 only

9 Jacques wants to know how many local teenagers like scary movies. He goes to the movie theater and surveys 100 people over the age of 12. Which statement best describes his sample? A The sample is too large to be accurate. B The sample is a good representation of all teenagers that like scary movies. C The sample is biased toward moviegoers. D The sample is biased against adults.

A Six students do not like either vanilla or chocolate ice cream. B Six students like vanilla-chocolate swirl ice cream. C Twenty-seven students like chocolate ice cream. D Forty-five students are included in the survey. 11 Ling owns a number of shirts, including 3 red, 2 blue, 4 white, and 1 black. What is the probability that she will choose a blue shirt to wear? 1 A _ 5

2 C _ 9

2 B _ 5

10 D _ 2

12 Multiply. 4_ × 9_ 5 8 3

2

A 36_ 20

C 41_ 8

B 40_ 8

D 41_ 16

3

7

1

7

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(continued)

13 Which statement is not true for the solid figure shown below?

A B C D

The base of the figure is a square. The figure has 4 side faces. The figure is a pyramid. The figure is a triangular prism.

15 What is the greatest common factor of 14, 63, and 84? A 3 B 7 C 12 D 84

70

17 Which value is a solution to the equation? -3x = -18 A -6 B -4 C 4 D 6 18 Elephant Butte Reservoir is New Mexico’s largest lake. Created in 1916, the original capacity of the lake was approximately 2,647,449 acre-feet. Its current capacity is 78% of the original. What is the best estimate of the lake’s current capacity? A 211,778 acre-feet B 1,853,000 acre-feet C 2,060,000 acre-feet D 3,397,435 acre-feet

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

14 Seven hot air balloons prepare to take off from the ground at the Albuquerque Hot Air Balloon Festival. If each balloon features a different pattern, which expression shows the number of ways the balloons can be arranged in order of take-off? A 7×6 B 7×6×5×4×3×2×1 C 7+6+5+4+3+2+1 D (7 × 6) + (5 × 4) + (3 × 2)

16 The school track team wanted to show the improvement of its race times. Which type of graph would best represent this data? A line graph B histogram C circle graph D scatter plot

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19 Sherita gets a hit 3 out of every 5 times she goes to bat playing softball. What is the probability that Sherita will get a hit the next time? A 0.250 B 0.300 C 0.500 D 0.600

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

20 Bryant measures his heart rate at 117 beats per minute. This is 49 beats per minute more than his resting heart rate, r. Which equation can be used to find r? A 117 = 49 + r B 117 = 49 - r C 117 = 49 ÷ r D 117 = 49 × r 21 To determine how many people were born in New Mexico, which would be a good way to sample the population? A Sample 100 people who moved to New Mexico from California. B Sample 250 people attending a movie. C Sample 35 school children. D Sample 4,000 people who have lived in New Mexico for 10 years or more.

22 Which classifications best describe the triangle shown below? G 47˚

E

A B C D

27˚

106˚

F

isosceles and scalene obtuse and acute obtuse and scalene acute and equilateral

23 Josef is bringing snacks for his soccer team. A dozen fruit bars cost $3.69. He wants to bring enough so that each of his 22 teammates can have 2 fruit bars. Which proportion could Josef use to find the cost of 44 fruit bars? 44 12 =_ A _ c 3.69 12 44 B _ =_ c 3.69 c 12 C _ =_ 3.69 44 c 12 D _ =_ 3.69 22

24 A sack of beans weighs 5.5 pounds. A recipe calls for 12 ounces of beans. What is the weight of the sack after removing the beans needed for the recipe? A 4 lb 6 oz B 4 lb 7 oz C 4 lb 8 oz D 4 lb 12 oz

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(continued) ___

25 The graph below shows the number of employees according to business size in New Mexico for the year 2001.

28 What is the measure of ST to the nearest millimeter? S

Number of Businesses (thousands)

Number of Employees by Business Size (New Mexico, 2001)

cm

1

2

3

4

5

16 14

A B C D

12 10 8 6 4 2 0

1 to 4 5 to 9 10 to 20 to 100 to 500 or 19 99 499 more

Number of Employees

26 How many pints are in 14 gallons? A 28 pt C 84 pt B 56 pt D 112 pt 27 Three classes are preparing to go on a field trip. The classes number 34, 29, and 36 students. If each bus holds 24 students, how many buses will be needed for the trip? A 3 C 5 B 4 D 6

22 mm 3 cm 32 mm 34 mm

29 After sampling 50 members of the Booster Club, a Santa Fe high school found that 72 percent would support the team with a donation. The team expected to collect donations from a similar percentage of the general population. Which of the following statements about the sample is correct? A The sample is biased toward people who already support the team. B The sample is a fair representation of the city’s population. C The sample is too large. D The sample includes only people who like winter sports. 30 Ms. Santos wants to take a 250-mile trip. Her car can travel about 29 miles on a gallon of gas. If gasoline costs $2.96 per gallon, how much will she spend on gas for her trip? A about $16.00 B about $26.00 C about $40.00 D about $46.00

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

What conclusion can be drawn from the data in this graph? A In 2001, more people were employed by small businesses than by large ones. B Businesses with the most employees lasted longest. C The average size of a business in 2001 was 20 employees. D There were 790 businesses with 100 or more employees.

72

T

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31 Tyrese spins a spinner with 4 equal sections 10 times. The results of his trials are shown in the chart below.

35 The drawing below represents the surface of which solid geometric figure?

Spinner Outcomes 1

2

3

4

III

I

IIII I

If Tyrese spins the spinner 1 more time, what is the theoretical probability that he will land on an even number? 1 A _ 10 1 B _ 2

1 C _

5 9 D _ 10

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

32 Which is the most appropriate unit for measuring the capacity of a water bottle? A square centimeters B cubic inches C liters D gallons 33 Which group of numbers is ordered from least to greatest? A 0.412, 0.42, 0.452, 0.45 B 0.42, 0.412, 0.452, 0.45 C 0.412, 0.452, 0.42, 0.45 D 0.412, 0.42, 0.45, 0.452 34 What is the solution for s in the equation below? 36 = 3s A s = 12 B s = 18 C s = 33 D s = 39

A B C D

cylinder cone sphere prism

36 What is a reasonable estimate of the distance between Las Cruces and Albuquerque? A 3.6 km B 36 m C 360 km D 3,600 cm 37 Fifty-five percent of students at the middle school play a musical instrument. There are 800 students. What is the ratio of students that play instruments to students that do not? A 11:9 B 5:4 C 7:5 D 2:1

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(continued)

38 Which is the solution to the inequality? 9≤4+d A d≤5 B d≥4 C d≤9 D d≥5

42 Which____ of the following statements is true ___ about WX and ST ? Q

R S

T X

U V

W

39 Which are the coordinates of point H in the graph below?

E

4 3 2 1

4321O 1 2 3 F 4

A B C D

___

___

___

___

___

___

___

A WX and ST are parallel lines. B WX and ST are in the same plane.

y

C WX and ST will intersect each other.

G

D WX and ST are skew lines. 1 2 3 4x

H

43 Which of the figures below has rotational symmetry? A

(-1, 1) (-3, -3) (2, -2) (1, 3)

41 Mercedes buys 3 fabric paints for $9.60. At that rate, how many paints can she buy for $80? A 8 C 25 B 12 D 30

B

C

D

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

40 Which of the following represents two independent events? A spinning a spinner and rolling a number cube B drawing a yellow marble and a green marble from a mixed bag C pulling two coins out of your pocket D choosing a card from a deck and then choosing another card, without replacing the original selection

74

___

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Write your answer in the space provided. Show all of your work. of New Mexico sits 44 Approximately _ 20 above 4,000 feet in elevation. If the total land area of the state is 121,359 square miles, about how much is above 4,000 feet?

47 A computer is on sale at a 15% discount for $833.00. What was the original cost of the computer before the discount?

17

45 Find the mean, median, and mode for the set of data below. 116, 155, 138, 146, 127, 165, 132

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

46 Identify a pair of coordinates at which you could place a point to complete an isosceles triangle on this coordinate plane. 4 3 2 1 4321O 1 2 3 4

y

48 What is the prime factorization of 504?

49 The perimeter of a square with side s is 56 feet. Find the perimeter for a square with side (s + 2).

50 Marta rolls a number cube that is numbered from 1 to 6. What is the probability that she rolls a multiple of 3?

1 2 3 4x

51 Write an inequality for the sentence below. Seven subtracted from a number n is less than -13.

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52 On the number line below graph three rational numbers that fall within the range indicated. Also, list the numbers in decimal form.

56 What is the measure of angle C in the triangle shown below? A 48˚

3

2

1

0

1

2

3

B

C

53 The hiking trail at Horseshoe Lake is 13_ miles long. If Hojin stops to rest 2 1

every 3_ miles, how many stops will 8 3

he make?

57 What is the formula for the circumference of a circle when the radius is known?

58 Alexandria wants to wrap a birthday gift. She has 5 colored gift bags and 3 ribbons. How many possible choices of bags and ribbons does she have?

55 What are the next three numbers in the sequence? 5, 6.4, 7.8, 9.2, …

76

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

54 Determine the perimeter of a rectangle whose length is 7 inches and width is 5 inches.

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(continued)

Questions 59 to 62 are open-response questions. Write your answer in the space provided and show your work. 59 Use the drawing to answer the questions. A. List three ways to name the horizontal line. B. Name three different segments and three different rays.

C

A

B

D

C. Name one acute angle and one obtuse angle, and state whether the angles are complementary or supplementary, and vertical or adjacent.

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

60 Oscar kept track of his spending habits for a month. Of the $200.00 that he earned, he spent $110.00 on video games, $50.00 on food, $10.00 on school supplies, and saved the rest. A. Find the amount of money that Oscar saved for the month.

B. Calculate the percentage of money earned that Oscar spent on each item.

C. Sketch a circle graph to display the percentages found in part B.

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61 Sasha started a new job at an ice cream shop. She found she could make different three-scoop sundaes using one scoop of each of 6 flavors: chocolate, vanilla, strawberry, marble fudge, raspberry swirl, and peach. A. Make a table to show all of the different combinations.

B. What is the ratio of sundaes containing peach ice cream to all sundaes? C. What is the probability that a customer will choose a three-scoop sundae in which two of the scoops are vanilla and raspberry swirl?

B. What is the percentage of decrease in the chile production, using your answer from part A above? Round your answer to the nearest percent.

C. Find the value of the peanut crop for 2002 and the number of units produced. About how much was the price per pound of peanuts?

78

Value of Main Field Crops New Mexico, 2002-2003 Crop

Value Production Year (thousands (thousands of units) of dollars)

Corn (bushels)

2002

8,575

24,353

2003

8,640

25,056

Wheat (bushels)

2002

3,900

13,455

2003

4,200

13,440

Chile (tons)

2002

96,400

49,800

2003

85,360

41,080

Peanuts (pounds)

2002

54,000

10,260

2003

45,900

8,721

2002 Alfalfa hay (tons) 2003

1,272

208,208

1,127

166,796

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

62 The values of New Mexico field crops, for 2002 and 2003 are listed in the table. A. About how many fewer tons of chile were produced in 2003 than in 2002?

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Road Map to NMSBA Success

1

Diagnose strengths and weaknesses by taking the

2

Prescribe a plan for improvement by using the Recording Chart to see where additional practice is needed.

3

Practice test-taking skills by using the practice pages and

Diagnostic Test.

Practice Test.

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