Grade 5 and 6. Math. Common Core Practice 1 (800)

Grade 5 Math www>KwellerPrep.com Grade 5 and 6 Math Common Core Practice www.KwellerPrep.com [email protected] 1 (800) 631- 1757 1 Grade 5 M...
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Grade 5 Math

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Grade 5 and 6

Math

Common Core Practice www.KwellerPrep.com [email protected] 1 (800) 631- 1757

1

Grade 5 Math

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STAAR GRADE 5 MATHEMATICS REFERENCE MATERIALS

STAAR State of Texas Assessments of Academic Readiness

0

Inches

LENGTH Metric

Customary

1 kilometer (km) = 1,000 meters (m)

1 yard (yd) = 3 feet (ft)

1 meter (m) = 100 centimeters (cm)

1 foot (ft) = 12 inches (in.)

1 centimeter (cm) = 10 millimeters (mm)

1

1 mile (mi) = 1,760 yards (yd)

Customary

2

VOLUME AND CAPACITY Metric

1 gallon (gal) = 4 quarts (qt)

1 liter (L) = 1,000 milliliters (mL) 3

1 quart (qt) = 2 pints (pt) 1 pint (pt) = 2 cups (c) 1 cup (c) = 8 fluid ounces (fl oz)

4

WEIGHT AND MASS Metric

Customary

1 kilogram (kg) = 1,000 grams (g)

1 pound (lb) = 16 ounces (oz)

1 gram (g) = 1,000 milligrams (mg)

5

1 ton (T) = 2,000 pounds (lb)

TIME

1 year = 52 weeks 1 week = 7 days

1 hour = 60 minutes 1 minute = 60 seconds

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Grade 5 Math

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1 day = 24 hours

Common Core Practice Math Grades 5 and 6 Kweller Test Prep www.KwellerPrep.com

6

1 year = 12 months

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STAAR GRADE 5 MATHEMATICS REFERENCE MATERIALS Square

P = 4× s

Rectangle

1   r l  rX

17

18

19

PERIMETER

" TrT

14

Rectangle

A = l×w

VOLUME Cube

7  TrTrT

Rectangular prism

V = l×w×h

2 1 0

Centimeters

3

4

5

6

7

8

9

10

11

12

15

Square

13

16

AREA

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Grade 5 Math

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Grade 5 Math

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DIRECTIONS

Read each question carefully. For a multiple-choice question, determine the best answer to the question from the four answer choices provided. For a griddable question, determine the best answer to the question. Then fill in the answer on your answer document.

1

The table below shows the prices of different movie tickets.

Movie Ticket Prices Child Ticket

Type of Movie

Adult Ticket

General admission

$10

$7

$8

$7

Special event

$14

$12

3-D

$13

$10

Matinee

Mr. Gallego bought 2 adult tickets and 4 child tickets for his family and paid a total of $66. For which type of movie are Mr. Gallego’s tickets? A General admission B Matinee C Special event D 3-D

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Kacey bought a rectangular wall plate for an electrical outlet. A picture of the wall plate is shown below. Use the ruler provided to measure the dimensions of the wall plate to the nearest centimeter.

(8 cm)

(12 cm)

Which measurement is closest to the perimeter, in centimeters, of the wall plate? F 44 cm G 96 cm H 40 cm J

20 cm

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3

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A gumball machine contained 60 gumballs one morning. The list below shows the number of gumballs of each color that came out of the machine during that day. • • • • • •

6 7 4 3 5 5

red purple green blue orange pink

What fraction of the gumballs that came out of the machine that day were purple?

A

B

C

D

7 30 7 23 1 7 1 6

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What single transformation is shown below? y

9 8 7 6 5 4 3 2 1 0

1

2

3

4

5

6

7

8

9

x

F Reflection G Rotation H Translation J

No single transformation is shown.

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Mike used a number machine. Each number he put into the machine came out as a different number according to a rule. Some examples are shown below.

Number Machine 82.05

In In

Out Out

78.042

70

In In

Out Out

65.992

58.208

In In

Out Out

54.2

43.008

In In

Out Out

39

Which statement describes the relationship between the number Mike put into the machine and the number that came out of it? A The number that came out of the machine was 5.012 less than the number he put into it. B The number that came out of the machine was 4.008 less than the number he put into it. C The number that came out of the machine was 16.012 more than the number he put into it. D The number that came out of the machine was 4.008 more than the number he put into it.

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Frances used small, medium, and large cups to serve punch. • She used 243 medium cups. • She used 79 more medium cups than large cups. • She used 56 more small cups than large cups. How many small cups did Frances use to serve punch? F 220 G 108 H 266 J

7

Not here

The masses of two gorillas are given below. • A female gorilla has a mass of 85,000 grams. • A male gorilla has a mass of 220 kilograms. What is the difference between these two masses in grams? A 135,000 g B 84,780 g C 63,000 g D 305,000 g

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The table below shows the number of people in each age range who lived in the United States in 2008.

People Living in the United States in 2008 Age Range Number of People

Under 5 years

5 to 9 years

10 to 14 years

15 to 19 years

21,005,852 20,065,249 20,054,627 21,514,358

In which age range were there more than 20,054,913 people but fewer than 21,005,850 people living in the United States in 2008? F Under 5 years G 5 to 9 years H 10 to 14 years J

9

15 to 19 years

The list below shows the number of shirts of different types that Savannah sold one day at a store. • • • •

Shirt Shirt Shirt Shirt

with vertical stripes: 6 with horizontal stripes: 4 with a school mascot: 5 that is plain: 18

Based on these results, what is the most reasonable prediction of the number of shirts with a school mascot that will be sold out of the next 165 shirts sold? A 25 B 160 C 28 D 140

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10 Xavier spent less than than

F

G

H

J

2 5

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2 5

of an hour walking home from school. Which fraction is less

?

5 7 3 4 5 10 2 9

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11 Karina wrote the two sets of numbers shown below. Set A

Set B

3

4

7

3

11

7

6

10

2

1

1 10

6

8

2

2

9

Which number could be added to Set B to make the mode of Set B greater than the mode of Set A? A 3 B 2 C 12 D 8

12 Ezekiel has 433 golf balls that he can put in 11 boxes. Each box must contain the same number of golf balls. What is the greatest number of golf balls Ezekiel can put in each box? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

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13 A five-day weather forecast is shown below. Monday

Tuesday

Wednesday

Thursday

Friday

Rainy

Cloudy

Partly cloudy

Sunny

Sunny

High: Low:

70°F 68°F

High: Low:

74°F 61°F

High: Low:

76°F 58°F

High: Low:

82°F 64°F

High: Low:

76°F 68°F

Based on this forecast, on which days will there be a difference of 18°F between the high and low temperatures? A Wednesday, Thursday, and Friday B Thursday only C Wednesday and Thursday only D Monday only

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14 The table below shows Ted’s age at the end of different grade levels.

Ted’s Age Grade Level

Age (years)

3

9

4

10

7

13

11

17

Which statement describes the relationship between Ted’s grade level and his age? F Ted’s age is equal to his grade level times 3. G Ted’s age is equal to his grade level divided by 3. H Ted’s age is equal to 6 less than his grade level. J

Ted’s age is equal to 6 more than his grade level.

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15 Edward is sketching a reflection of the shaded figure below. y 9 8 7 6 5 4 3 2 1 0

1 2 3 4 5 6 7 8 9

x

Which ordered pair would represent a vertex on his completed sketch? A (7, 6) B (6, 4) C (5, 3) D (7, 3)

16 Which group of horseshoes represents a prime number?

F

H

G

J

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17 A rectangular parking lot is represented by the scale drawing below. Use the ruler provided to measure the length and width of the rectangle to the nearest inch.

(3 in.)

(4 in.)

SCALE 1 inch represents 20 feet. Which measurement is closest to the area, in square feet, of the actual parking lot? A 8,000 square feet B 360 square feet C 4,800 square feet D 280 square feet

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18 Isaiah bought three kinds of fruit at the store. • He bought 4 apples. • He bought 3 times as many oranges as apples. • He bought 4 more peaches than apples. Which graph represents the fruit Isaiah bought?

F

Number Bought

Shopping for Fruit Shopping for Fruit

12 10

Apple

8

H

6

Peach

4

Each represents 2 pieces of fruit.

2 0

Orange

Apple Orange Peach

Fruit

G

Number Bought

Shopping for Fruit 16 14 12 10 8 6 4 2 0

Shopping for Fruit Apple J

Orange Peach Each represents 4 pieces of fruit.

Apple Orange Peach

Fruit

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19 Last year Ryan went to school for 36 out of 52 weeks. Which fraction is NOT equivalent to

A

B

C

D

36 52

?

10 26 9 13 72 104 18 26

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20 Yuan has a game board like the one shown below.

Which of the following is the best estimate of the number of black squares that are on 188 of these game boards? F 4,000 G 3,000 H 2,500 J

6,000

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21 A grocery store asked each of 100 dentists to recommend a toothpaste brand. The table below shows the four brands recommended and the number of dentists who recommended each brand.

Toothpaste Recommendations Brand

Number of Dentists

M

40

P

24

Q

20

T

16

The grocery store will ask another group of 25 dentists each to recommend a toothpaste brand. Based on the information in the table, what is the most reasonable prediction of the number of dentists in this group who will recommend Brand T? A 3 B 2 C 9 D 4

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22 Mrs. Zapata paid a total of $8.17 to mail three packages. • She paid $2.77 to mail the first package. • She paid $3 to mail the second package. How much did Mrs. Zapata pay to mail the third package? F $3.60 G $2.40 H $6.37 J

Not here

05EM03507AZ11177_3

514D

23 Which statement about the figure below is true?

A It has exactly 8 faces and 8 vertices. B It has exactly 16 edges and 8 vertices. C It has exactly 9 faces and 16 edges. D It has exactly 9 faces and 9 edges.

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24 A water dispenser contains 512 fluid ounces of water. What is the total number of 8-fluid-ounce cups of water that can be filled from the dispenser? F 611 G 64 H 4,096 J

61

25 The table shows the number of grams of sugar in one serving of different breakfast cereals.

Breakfast Cereal Facts Cereal

Sugar in One Serving (grams)

Brand V

4

Brand W

9

Brand X

7

Brand Y

4

Brand Z

6

What is the median of the number of grams of sugar in one serving of these cereals? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

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26 An individual computer lab session at a school is 24 minutes long. On Monday 313 students each completed a session at the computer lab. What is the total number of minutes that all these students spent in the computer lab on Monday? F 337 min G 7,402 min H 1,878 min J

Not here

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Grade 5 Math 05EM05513AZ12337_1

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515A

27 The table shows the number of pages that a printer can print using different numbers of ink cartridges.

Printer Number of Ink Cartridges

Number of Pages

1

700

2

1,400

4

2,800

Which graph represents the data in the table? Printer

y

4,500

4,500

4,000

4,000

3,500 3,000

C

2,500 2,000 1,500 1,000

Number of Pages

A

Number of Pages

y

500

3,500 3,000 2,500 2,000 1,500 1,000 500

0

1 2 3 4 5 6 7 8 9

x

0

Number of Ink Cartridges

Printer

y

4,500

4,500

4,000

4,000

3,500 3,000

D

2,500 2,000 1,500 1,000 500 0

Printer

3,500 3,000 2,500 2,000 1,500 1,000 500

1 2 3 4 5 6 7 8 9

Number of Ink Cartridges

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Number of Pages

Number of Pages

y

x

1 2 3 4 5 6 7 8 9

Number of Ink Cartridges

B

Printer

x

0

x

1 2 3 4 5 6 7 8 9

Number of Ink Cartridges

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28 The model below shows the muffins Angelica baked. She baked two kinds of muffins.

KEY Blueberry muffin

Banana muffin

Which equation shows one way to find the difference between the fraction of muffins that are blueberry and the fraction of muffins that are banana?

F

G

H

J

7 12 12 12 12 12 7 12

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+



+



5 12 7 12 7 12 5 12

=

12 12

=

=

=

5 12 19 12 2 12

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29 An airplane flight lasted 5 hours 22 minutes. Which pair of clocks could show the time the flight started and the time it finished?

A

Started

Finished

Started

Finished

11 12 1 10 2 3 9

11 12 1 10 2 3 9

11 12 1 10 2 3 9

11 12 1 10 2 3 9

8

B

7 6 5

4

8

7 6 5

C

4

8

7 6 5

4

8

7 6 5

4

Started

Finished

Started

Finished

11 12 1 10 2 3 9

11 12 1 10 2 3 9

11 12 1 10 2 3 9

11 12 1 10 2 3 9

8

7 6 5

05EM01502AZ12027_1

4

8

7 6 5

4

D

8

7 6 5

4

8

7 6 5

4

514A

30 Jackson sold towels at the beach. If he sold 7 out of every 9 towels he had, which statement could be true? F Out of 27 towels, he sold 21. G Out of 18 towels, he sold 7. H Out of 36 towels, he sold 35. J

Out of 72 towels, he sold 63.

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31 Ichiro has a set of 20 cards that each show a different number, as shown below.

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

Ichiro will randomly select one of these cards. What is the probability that the card he selects will show a prime number?

A

B

C

D

8 12 1 8 8 20 10 20

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32 The coordinates (0, 1) represent Mary’s location on a dance floor. y 10 9 8 7 6 5 4 3 2 1 0

N W

E S

1 2 3 4 5 6 7 8 9 10

x

Hailey is located 3 units north and 2 units east of Mary. Which ordered pair represents Hailey’s location? F (2, 4) G (3, 3) H (4, 2) J

(0, 6)

33 The side length of a square is 20 millimeters. Which statement about this square is true? A The perimeter of the square is 400 millimeters, because 20 × 20 = 400. B The perimeter of the square is 80 millimeters, because 20 × 4 = 80. C The area of the square is 40 square millimeters, because 20 × 2 = 40. D The area of the square is 80 square millimeters, because 20 × 4 = 80.

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34 The distance between two houses is

921 1,000

kilometer, as modeled below.

Which decimal is equivalent to the distance between these two houses? F 9.21 km G 0.0921 km H 0.921 km J

9.021 km

35 There is a relationship between the numbers in each pair below. (168, 12), (126, 9), (84, 6), (42, 3) What is the relationship between the numbers in each pair? A The first number in each pair is the quotient of the second number and 14. B The first number in each pair is the product of the second number and 14. C The second number in each pair is the difference between the first number and 3. D The second number in each pair is the sum of the first number and 39.

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36 Which coordinate grid shows only a rotation? y

F

y

9 8 7 6 5 4 3 2 1 0

9 8 7 6 H 5 4 3 2 1 1 2 3 4 5 6 7 8 9

x

0

y

Page 34

x

y

9 8 7 6 G 5 4 3 2 1 0

1 2 3 4 5 6 7 8 9

J

1 2 3 4 5 6 7 8 9

x

9 8 7 6 5 4 3 2 1 0

1 2 3 4 5 6 7 8 9

x

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37 After a parade there were 4 tons of trash to be picked up. By the end of the day, volunteers had picked up 7,200 pounds of trash. How many pounds of trash were still left to be picked up at the end of the day? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

38 A principal randomly chose 40 students from grade 5. Of these students, 9 were wearing watches. Based on this information, what is the most reasonable prediction of the number of students wearing watches in a group of 120 students from grade 5? F 27 G 9 H 18 J

80

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39 The table below shows the distance, in miles, four students each traveled in a canoe.

Canoe Trips Student

Distance Traveled (miles)

Whitney

3 8

Rico

4 10

Edna

3 5

Phillip

2 4

Which statement is true? A The distance Whitney traveled is greater than the distance Rico traveled. B The distance Edna traveled is less than the distance Phillip traveled. C The distance Whitney traveled is less than the distance Phillip traveled. D The distance Rico traveled is greater than the distance Edna traveled.

40 Nola had 124 sheets of colored paper. • She used 20 sheets to make a picture. • She used all the remaining sheets to make 4 posters. • She used the same number of sheets to make each poster. Which equation can be used to find n, the number of sheets of colored paper Nola used to make each poster? F

(124 + 20) × 4 = n

G (124 − 20) ÷ 4 = n H (124 − 20) × 4 = n J

(124 + 20) ÷ 4 = n

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41 Oliver can go to 1 restaurant for either lunch or dinner. His choice of restaurants is listed below. • • • •

Chinese Italian Mexican Barbecue

Which list shows all the possible outcomes of 1 restaurant and 1 meal? A Chinese, lunch Chinese, dinner Italian, Chinese Italian, dinner Mexican, lunch Mexican, barbecue Barbecue, lunch Barbecue, dinner B Chinese, lunch Italian, lunch Mexican, dinner Barbecue, dinner C Chinese, lunch Chinese, dinner Italian, lunch Italian, dinner Mexican, lunch Mexican, dinner Barbecue, lunch Barbecue, dinner D Chinese, lunch Chinese, dinner Italian, lunch Italian, dinner

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42 A teacher bought a bag of clothespins. In the bag,

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6 18

of the clothespins are blue.

Which fraction is equivalent to the fraction of clothespins that are blue?

F

G

H

J

1 2 2 3 1 4 1 3

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43 The table below shows the number of puzzles Eduardo completed each week. It shows the number of puzzle pieces that he used each week.

Puzzles

Number of Puzzles Completed Number of Puzzle Pieces

Week 1

Week 2

Week 3

Week 4

Week 5

10

5

6

4

9

500

250

300

200

450

Based on the table, the number of puzzles Eduardo completed each week was equal to the number of puzzle pieces that week — A divided by 2 B divided by 50 C minus 250 D minus 5

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44 Mr. Williams brought an ice chest filled with water bottles to band practice. A model of the ice chest is shown below.

18 in. 30 in. 19 in. What is the volume, in cubic inches, of the ice chest? F 13,760 cubic inches G 570 cubic inches H 67 cubic inches J

10,260 cubic inches

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45 The table below shows the scores for two divers at a diving championship.

Diving Championship Diver

Score

Carl

399.8

Eric

462.25

What is the difference between these two scores? A 73.45 B 137.65 C 62.45 D 173.45

46 Which figure appears to have exactly 2 congruent triangular faces?

F

H

G

J

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47 A conference center has 12 rooms that each have a floor area of 875 square feet and 6 rooms that each have a floor area of 950 square feet. What is the total floor area, in square feet, of these rooms? A 10,500 square feet B 8,325 square feet C 16,200 square feet D 15,900 square feet

48 Which coordinate grid shows only a translation? y

F

y

7 6 5 4 3 2 1 0

7 6 5 H 4 3 2 1 1 2 3 4 5 6 7 8 9

x

0

y

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x

y

7 6 5 G 4 3 2 1 0

1 2 3 4 5 6 7 8 9

J

1 2 3 4 5 6 7 8 9

x

7 6 5 4 3 2 1 0

1 2 3 4 5 6 7 8 9

x

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49 The graph shows the number of birds seen by several students on a field trip.

Bird-Watching 42

Number of Birds

36 30 24 18 12 6 0

Carlos

Nathan

Sara

Kesha

Lauren

Student What is the range of the number of birds seen by these students? A 18 B 30 C 27 D 12

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50 Wesley has 480 stamps in his collection. He puts these stamps into display cases. Each display case contains 15 stamps. How many display cases does Wesley need for his stamp collection? F 32 G 212 H 36 J

465

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BE SURE YOU HAVE RECORDED ALL OF YOUR ANSWERS ON THE ANSWER DOCUMENT. 42

Grade 5 Math STAAR Grade 5 Mathematics

Item Number

Reporting Category

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

1 4 5 3 2 1 4 1 5 1 5 1 4 2 3 2 4 5 1 1 5 1 3 1 5 1 5 1 4 1 5 3 4 1 2 3 4 5 1 2 5 1 2 4 1 3 1 3 5 1

Answer Key Readiness or Supporting Readiness Readiness Supporting Supporting Readiness Readiness Supporting Supporting Readiness Readiness Readiness Readiness Supporting Readiness Readiness Supporting Readiness Supporting Readiness Supporting Readiness Readiness Supporting Readiness Readiness Readiness Supporting Supporting Supporting Readiness Supporting Supporting Readiness Supporting Readiness Readiness Supporting Readiness Readiness Supporting Supporting Readiness Readiness Readiness Readiness Supporting Readiness Readiness Readiness Readiness

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Content Student Expectation

Process Student Expectation

Correct Answer

5.3(B) 5.10(C) 5.12(A) 5.8(B) 5.5(A) 5.3(A) 5.10(A) 5.1(A) 5.12(B) 5.2(C) 5.13(B) 5.3(C) 5.11(A) 5.5(A) 5.8(A) 5.5(B) 5.10(C) 5.13(C) 5.2(A) 5.4(A) 5.12(B) 5.3(A) 5.7(A) 5.3(C) 5.13(B) ( ) 5.3(B) 5.13(A) 5.3(E) 5.11(B) 5.2(A) 5.12(A) 5.9(A) 5.10(C) 5.2(D) 5.5(A) 5.8(A) 5.10(A) 5.12(B) 5.2(C) 5.6(A) 5.12(C) 5.2(A) 5.5(A) 5.10(C) 5.3(A) 5.7(A) 5.3(B) 5.8(A) 5.13(B) 5.3(C)

5.14(C) 5.14(D) 5.14(A)

D H A J B F A G A J A 39 C J C G C J A J D G C G 6 J A J B F C F B H B F 800 F C G C J B J C G C J C F

5.16(A) 5.14(B) 5.14(A) 5.14(A) 5.14(B) 5.14(A) 5.14(A) 5.16(A) 5.14(C) 5.14(D) 5.14(D) 5.14(B) 5.14(B) 5.14(B) 5.14(A) 5.14(B) 5.14(D) 5.14(B) 5.14(D) ( ) 5.14(A) 5.15(A) 5.14(D) 5.14(D) 5.14(A) 5.14(B) 5.14(D) 5.16(B) 5.16(A) 5.14(A) 5.14(A) 5.14(B) 5.15(B) 5.14(C) 5.14(A) 5.16(A) 5.14(A) 5.14(A) 5.14(B) 5.14(D) 5.14(A)

Grade 5 Math Answers

43

Grade 5 Math

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STAAR GRADE 6 MATHEMATICS REFERENCE MATERIALS

STAAR State of Texas Assessments of Academic Readiness

0

Inches

LENGTH Metric

Customary

1 kilometer (km) = 1,000 meters (m)

1 yard (yd) = 3 feet (ft)

1 meter (m) = 100 centimeters (cm)

1 foot (ft) = 12 inches (in.)

1 centimeter (cm) = 10 millimeters (mm)

1

1 mile (mi) = 1,760 yards (yd)

2

VOLUME AND CAPACITY Metric

Customary 1 gallon (gal) = 4 quarts (qt)

1 liter (L) = 1,000 milliliters (mL) 3

1 quart (qt) = 2 pints (pt) 1 pint (pt) = 2 cups (c) 1 cup (c) = 8 fluid ounces (fl oz)

4

WEIGHT AND MASS Metric

Customary

1 kilogram (kg) = 1,000 grams (g)

1 pound (lb) = 16 ounces (oz)

1 gram (g) = 1,000 milligrams (mg)

5

1 ton (T) = 2,000 pounds (lb)

TIME

1 year = 52 weeks 1 week = 7 days

1 hour = 60 minutes 1 minute = 60 seconds

7

1 day = 24 hours

Grade 6 Math Common Core Practice www.KwellerPrep.com

6

1 year = 12 months

8

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Grade 5 Math

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20

STAAR GRADE 6 MATHEMATICS REFERENCE MATERIALS 19

PERIMETER 1  T

Rectangle

1  l X

17

18

Square

16

CIRCUMFERENCE

15

Circle

C  2π r

or

C  πd

bh 2

or

A = 1 bh 2

14

AREA

12

13

Triangle

A =

A  s2

11

Square A = lw

or

"  CI

10

Rectangle

Parallelogram 9

"  CI

8

Trapezoid

7

A = 1 (b1 + b2)h 2 A = πr 2

V  s3

6 4

5

Cube

3 2

2

or

VOLUME

V = lwh

or

V = Bh

ADDITIONAL INFORMATION Centimeters

1

(b + b )h 1 2

Circle

Rectangular prism

0

A =

Pi

Page 4

π ≈ 3

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47

Grade 5 Math

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DIRECTIONS

Read each question carefully. For a multiple-choice question, determine the best answer to the question from the four answer choices provided. For a griddable question, determine the best answer to the question. Then fill in the answer on your answer document.

1

Bert drew an angle that has the characteristics listed below. • It has a measure greater than 88.5°. • It is an obtuse angle. Which of the following could be the angle Bert drew?

A

C

92.5°

B

D

89.5°

Page 8

90°

88°

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Grade 5 Math

2

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Which situation is best represented by the integer −14 ? F

A grocery store clerk helps 14 times as many customers as another clerk.

G A coach divides the players on his team into 14 equal groups. H A mail carrier delivers mail to 14 additional houses not on his normal mail route. J

A carpenter shortens the length of a board by 14 inches.

Page 9

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3

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Felix is reading the sign below in order to decide when to go to a violin lesson.

JOIN US! Violin Lessons Monday and Wednesday: morning or afternoon OR Tuesday and Thursday: evening only

The list below shows some of the possible outcomes of 1 day and 1 time to have a violin lesson.

Monday

Wednesday

Tuesday

Morning

Afternoon

Evening

Which list shows all the other possible outcomes of 1 day and 1 time to have a lesson?

Monday

Tuesday

Wednesday

A

Wednesday

Monday

Thursday

Morning

Afternoon

Evening

C Morning

Wednesday

Afternoon

Thursday

B

Wednesday

Thursday

Morning

Afternoon

D Morning

Page 10

Evening

Evening

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Grade 5 Math 06EM01602CZ12054_1

4

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611A

There are 176 slices of bread in 8 loaves. If there are the same number of slices in each loaf, how many slices of bread are in 5 loaves? F

110

G 173 H 100 J

163

06EM02604BZ12106_3

5

612A

Xavier has a group of rectangular prisms. Each rectangular prism has a volume of 128 cubic centimeters and a height of 2 centimeters. The table shows the relationship between each prism’s length, l, and width, w.

Rectangular Prisms Width, w (centimeters)

Length, l (centimeters)

1

64

2

32

4

16

8

8

Which equation can Xavier use to find the length, l, in centimeters of a prism that has a width of w centimeters? A

B

C

D

128 2

= l +w

2 × 128 = l × w

128 2

= l ×w

2 + 128 = l × w

Page 11

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6

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Gracie borrowed $92 from her father. She has already paid back $12. She will pay him another $16 on Monday and then make equal payments of $4 until the rest of the money has been repaid. The expression below can be used to find the number of equal payments Gracie will need to make in order to repay the money. 92 − (12 + 16) 4 How many equal payments will Gracie need to make in order to repay the money? F

24

G 16 H 5 J

27

Page 12

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Grade 5 Math

7

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The graph shows the number of hours that four businesses were open on Friday.

Hours Open 13

Number of Hours

12 11 10 9 8 7

ic in Cl

Re st au ra nt Po st of fic e

D ry

cl ea ne r

0

Business Based on the information in the graph, which statement could be true? A

The dry cleaner opened at 6:15 A.M. and closed at 6:15 P.M.

B

The restaurant opened at 11:45 A.M. and closed at 9:30 P.M.

C

The post office opened at 9:00 A.M. and closed at 6:00 P.M.

D The clinic opened at 7:30 A.M. and closed at 6:30 P.M.

Page 13

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Grade 5 Math

8

9

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Yasir drilled a circular hole that had a diameter of 8 millimeters. Which equation can be used to find r, the radius of the circular hole in millimeters? r

F

8 =

G

8 = 2×r

H

8 =

J

8 = 2×π×r

2

r π

On Tuesday morning a school cafeteria served 16 gallons of orange juice during breakfast. How many cups are in 16 gallons? A

256 cups

B

64 cups

C

2,048 cups

D 128 cups

Page 14

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9 10 The value of g can be determined using the expression r − . Which table represents the 8 relationship between the values of g and r?

F

r

g

r

39 8

38 8

3

30 8

29 8

21 8

4

1 8

3

1 8

4

2 8

20 8

3

2 8

4

3 8

12 8

11 8

3

3 8

4

4 8

r

g

r

g

39 8

40 8

30 8

31 8

8 G

g

6

H

7 8

8

1 8

7

8

2 8

7

1 8

21 8

22 8

8

3 8

7

2 8

12 8

13 8

Page 15

J

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11 Ryan had a whole pizza. He ate

1 8

of the pizza for lunch and another 25% of the pizza for

dinner. What fraction of the pizza has Ryan NOT eaten? A

B

C

D

5 6 5 8 1 4 3 8

12 A hummingbird weighed w ounces. One day the hummingbird drank 8 times its weight in water and ate half its weight in food. Which equation can be used to find t, the combined weight of the water and the food, in ounces, that the hummingbird had on this day? F

t = w +8−

G

t = w +8+

H

t = 8w +

J

t = 2w +

Page 16

1 2 1 2

w 2 w 8

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13 Ms. Porter had eight parties at her house last year. The number of guests at each party is shown below. 15, 19, 9, 27, 21, 21, 10, 14 What is the median number of guests at these parties? A

17

B

24

C

18

D 21

14 Use the ruler provided to measure the two figures below to the nearest centimeter.

(3 cm)

(5 cm)

(9 cm)

(4 cm)

Which of the following is closest to the combined areas of these figures in square centimeters? F

31 cm 2

G

55 cm 2

H

37 cm 2

J

47 cm 2

Page 17

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15 Mrs. Stephens drove through a total of 36 intersections on her way home from work last week. At 4 of every 16 intersections, Mrs. Stephens had to stop for a red light before she could drive through. At how many intersections did Mrs. Stephens have to stop for a red light? A

3

B

9

C

24

D 12

16 The 10 members of an art club collected a total of $520 during a fund-raiser. The amounts collected by 9 of the members are represented on the line plot below.

Amounts Collected (dollars) X X X 20

X

X X

X X

X

40

60

80

100

How many dollars were collected by the tenth member of the art club? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Page 18

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17 What is the measure of ∠G in the polygon below? F 164° E

G

23° 147° D

A

16°

B

23°

C

33°

D 26°

18 A sea turtle made 460 dives in 12 hours. At this rate, how many dives did the sea turtle make in 3 hours? F

153

G 115 H 120 J

165

Page 19

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19 A cylindrical barrel has a diameter of 19.875 inches. Which of the following is the best estimate of the circumference of the barrel in feet? A

10 ft

B

2 ft

C

5 ft

D 1 ft

20 Jackson has 180 pieces of gum. He wants to share the pieces of gum equally with his friends. Which table shows the relationship between n, the number of people who receive gum, and p, the number of pieces of gum each person receives?

Gum

Gum

F

Number of People, n

Number of Pieces, p

2

90

4

H

Number of People, n 2

360

45

4

720

6

30

6

1,080

12

15

12

2,160

Gum

G

Gum

Number of People, n

Number of Pieces, p

10

170

20

Page 20

Number of Pieces, p

Number of People, n

Number of Pieces, p

10

18

160

20

16

30

150

30

14

40

140

40

12

J

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21 There are 80 pieces of furniture for sale at a store. Of these pieces of furniture, 20 are desks and 10 are benches. The rest are chairs and tables. The ratio of the number of chairs to the number of tables is 3 to 2. Which circle graph best represents the pieces of furniture for sale at the store?

Furniture

Tables

A

Desks

Furniture

C

Desks

Tables

Benches

Benches Chairs

Chairs

Furniture

Furniture Desks

Desks

B

Tables

D

Tables

Benches

Benches Chairs

Page 21

Chairs

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22 An electric eel has a length of 1.84 meters. What fraction is equivalent to the length of this electric eel in meters? F

G

1

84 10

92 500 21

m

m

H

1

J

Not here

25

Page 22

m

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23 Rob weighed 2 boxes. The combined weight of the boxes is shown on the scale below.

0 16

144

32

128 112

48 ounces

96

64 80

Box A

Box B

The ratio of the weight of Box A to the weight of Box B is 3:1. Which of the following is closest to the weight of Box A? A

126 oz

B

42 oz

C

32 oz

D 96 oz

Page 23

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24 The air temperature in Mrs. Stokes’s classroom was 90°F at 7:00 A.M. She turned on the air conditioner, and the air temperature decreased 2°F every 10 minutes for the next hour. By 8:30 A.M., the air temperature had decreased another 4°F. The expression below can be used to determine the air temperature in Mrs. Stokes’s classroom at 8:30 A.M. 90 − 2(60 ÷ 10) − 4 What was the air temperature in Mrs. Stokes’s classroom at 8:30 A.M.? F

74°F

G 70°F H 86°F J

82°F

Page 24

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25 Two sets of numbers are shown below.

435 50

8

174 20

Set J

87 10

70 100

Set K

8

8

35 50

14 20

Which statement is true? A

The number 8.7 is equivalent to each number in Set K but not each number in Set J.

B

The number 8.7 is equivalent to each number in Set J and Set K.

C

The number 8.070 is equivalent to each number in Set K but not each number in Set J.

D The number 8.070 is equivalent to each number in Set J and Set K.

Page 25

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26 Line segment NM passes through the center of the circle shown on the coordinate grid below. y

100

M

80 60 40

N

20

0

20

40

60

80

100

x

Which equation can be used to find C, the circumference of the circle in units? F

C = π

⋅ 60

G

C = 2

⋅ π ⋅ 60

H

C =

J

C =

Page 26

120 2 60 2

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27 Lindsey spent 2 • She spent • She spent

1 3

3 4 5 6

hours in a science lab on Wednesday. hour preparing materials for an experiment. hour conducting the experiment.

• She spent the rest of the time cleaning her lab station. Based on this information, which statement is true?

8

A

Lindsey spent 1

B

Lindsey spent

C

Lindsey spent the same amount of time conducting the experiment as she spent cleaning her lab station.

D Lindsey spent

15

2 3

hours cleaning her lab station.

hour preparing materials and conducting the experiment.

1

hour more conducting the experiment than she spent preparing 12 materials for the experiment.

Page 27

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28 Metal and glass make up 100% of a sculpture. If g represents the percentage of the sculpture that is made of glass, which equation can be used to find m, the percentage of the sculpture that is made of metal? F

g − 100 = m

G

100 − g = m

H

J

g 100

= m

100 + g = m

29 Shen and David each washed a car. • Shen spent 5 minutes washing his car for every 2 minutes David spent washing his car. • Each boy started washing his car at 4:00 P.M. • David finished washing his car at 4:30 P.M. At what time did Shen finish washing his car? A

4:12 P.M.

B

4:33 P.M.

C

5:15 P.M.

D Not here

Page 28

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30 In triangle ABC, the measure of angle A is 70°. Angle B is congruent to angle C. What is the measure of angle B in degrees? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

31 The list shows the amount of each ingredient Charlotte used to make 3 servings of macaroni and cheese. • 12 ounces of macaroni • 1 egg • 2 cups of milk • 2

1 2

cups of cheddar cheese

Based on this information, which statement is NOT true? A

To make 6 servings, Charlotte should use 5 cups of cheddar cheese.

B

To make 24 servings, Charlotte should use 96 ounces of macaroni.

C

To make 12 servings, Charlotte should use 4 eggs.

D To make 9 servings, Charlotte should use 8 cups of milk.

Page 29

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32 What is the prime factorization of 99? F

32  11

G

33  11

H

9  11

J

Not here

Page 30

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33 The graph below shows the number of students in a math club who voted for each of four types of pizza.

Type of Pizza

Voting for Pizza Sausage Mushroom Pepperoni Cheese 0

4

8

12

16

20

24

Number of Student Votes Which statement is best supported by the graph? A

The number of students who voted for mushroom pizza is 2 times the number of students who voted for sausage pizza.

B

The number of students who voted for sausage pizza is 13 more than the number of students who voted for cheese pizza.

C

The number of students who voted for pepperoni pizza is 6 fewer than the number of students who voted for mushroom pizza.

D The number of students who voted for cheese pizza is 1 more than the number of students who voted for pepperoni pizza.

Page 31

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34 The table shows a relationship between some values of p and v. p

7.2

7.4

7.6

7.8

v

17.3

17.5

17.7

17.9

Based on the table, which expression represents any value of v in terms of its corresponding value of p? 2

F

p−

G

p − 10

H

p+

J

p + 10

10 1 10

2 10 1 10

35 Which number is a common multiple of 4 and 11? A

176

B

36

C

154

D 22

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36 At a zoo 5% of the birds are macaws. What decimal is equivalent to 5%? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

37 Three connected gears are shown below.

Gear Z

Gear X Gear Y

• For every complete rotation of Gear Z, Gear Y makes 2 complete rotations. • For every complete rotation of Gear Y, Gear X makes 3 complete rotations. Based on this information, what is the number of complete rotations Gear Z will make when Gear X makes 912 complete rotations? A

456

B

608

C

152

D 304

Page 33

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38 The stem and leaf plot shows the length of several hermit crabs.

Hermit Crab Lengths (inches) Stem Leaf 1 2 3 4

25 25 50 25

50 75 25 50 50 75 75 25

KEY 2 25 = 2.25 inches

Which line plot best represents the data in the stem and leaf plot?

Hermit Crab Lengths (inches)

Hermit Crab Lengths (inches) F

XXX 1

XX 2

XX 3

H

X 4

5

1

Hermit Crab Lengths (inches) G 1

Page 34

XX XX

XXX 2

X XX 3

2

X X X 3

X X 4

5

Hermit Crab Lengths (inches) J

X X 4

X X X X

X XX

5

X XXXXXX 1

2

X XXXX 3

4

5

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39 Four sets of angles are shown below.

28°



T

S

60°

15° T

S

Set I

Set II

51°

54°

92°

22° T

S

Set III

S

T

Set IV

In which of the sets is there a ratio of 4:1 between the measure of angle S and the measure of angle T ? A

Set I only

B

Sets I, II, III, and IV

C

Sets I and II only

D Set IV only

Page 35

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40 A farmer has a bale of hay with a mass of 36 kilograms. How many milligrams of hay are in the bale? F

36,000,000 mg

G 36,000 mg H 3,600,000 mg J

360,000 mg

41 The center of the circle below is point M.

J

M

34 meters

K

L

Which expression can be used to find the length of JL in meters? A

2 × π × 34

B

2 × 34

C

34 × π

D 34 ÷ 2

Page 36

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42 Enrique bought a football and a puzzle at a store. • He paid $15.35 for the football. • He paid a total of $24.02 for the football and the puzzle. How much did Enrique pay for the puzzle, in dollars and cents? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

43 One week a family drank p pints of milk. Which equation can be used to find the number of gallons of milk, g, the family drank that week? A

p = g ÷4

B

p = g ÷ (4 × 2)

C

g = p÷4

D

g = p ÷ (4 × 2)

Page 37

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44 The figure below is a scale drawing of a warehouse floor. Use the ruler provided to measure the dimensions of the figure to the nearest

1 4

inch.

(2 1/2 in.)

(1 1/4 in.) (1 3/4 in.)

(1/2 in.) (4 in.)

Scale 1 inch : 16 feet

Which of the following is closest to the perimeter of the actual warehouse floor in feet? F

10 feet

G 160 feet H 192 feet J

26 feet

Page 38

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45 The pictograph below shows the number of packages of different brands of batteries that a store sold on Friday.

Batteries Sold Brand P Brand Q Brand R Brand S Each

represents 250 packages.

Which statement is best supported by the information in the pictograph? A

The ratio of Brand P batteries to Brand Q batteries is 1:2.

B

The ratio of Brand R batteries to the total number of batteries is 5:1.

C

Of all the packages of batteries sold, 20% were Brand R batteries.

D Of all the packages of batteries sold, 3% were Brand S batteries.

46 There are a total of 950 boxes of shoes at a store. • Half of the boxes contain athletic shoes. • Another 125 boxes contain dress shoes. • Of the remaining boxes of shoes, 4 out of 5 boxes contain sandals. Based on the expression below, how many boxes at the store contain sandals? 4(950 ÷ 2 − 125) ÷ 5 F

280

G 355 H 450 J

255

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47 The ordered pairs below represent the location of 4 stops on a bus route. y

Stop K (

3, 7 ) 4 4

Stop L (

4, 8 ) 4 4

Stop M (

8, 5 ) 4 4

Stop N (

7, 3 ) 4 4

Bus Route

2

1

Bus station

0

1

2

x

The location of the bus station is shown on the coordinate grid. Which stop is closest to the bus station? A

Stop K

B

Stop L

C

Stop M

D Stop N

48 Freddie used 28 nails to make birdhouses. He used the same number of nails for each birdhouse. Which of the following CANNOT be the number of birdhouses Freddie made? F

4

G 6 H 7 J

2

Page 40

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49 Quinlan pays $178 every 4 months for his guitar lessons. At this rate, how much will Quinlan pay for 3 years of guitar lessons? A

$534

B

$2,136

C

$1,602

D $712

50 Raja drew a circle and labeled the center S. He used the expression 12  π to find the circumference of the circle in inches. Which of the following could be the circle Raja drew?

S F

S H 3 in.

6 in.

G

S 2 in.

Page 41

S

J 6 in.

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51 Which equation is true?

A

B

C

D

0.9 =

12 10

9

100

= 1.02

1.9 =

18

90

9 100

= 0.2

90

100 80

170 10

180 0

20 10 30 0 40 170 160 150 180 140

20

F

110 12 0 1 70 60 30 14 50 0 40 15 30 0

0

50 13 0

70 0 11

80 100

16

6 12 0 0

52 In the diagram below, what is the measure of angle P to the nearest degree?

P

21°

G 159° H 39° J

161°

Page 42

BE SURE YOU HAVE RECORDED ALL OF YOUR ANSWERS ON THE ANSWER DOCUMENT. 82

Grade 5 Math STAAR Grade 6 Mathematics

Item Number

Reporting Category

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52

3 1 5 1 2 1 5 3 4 2 1 2 5 4 1 5 3 2 4 2 5 1 4 1 1 3 1 2 4 3 2 1 5 2 1 2 1 5 2 4 3 1 2 4 5 1 3 1 2 3 1 4

www>KwellerPrep.com 2014 Release

Answer Key Readiness or Supporting Supporting Supporting Supporting Readiness Supporting Readiness Readiness Readiness Supporting Readiness Readiness Readiness Supporting Readiness Readiness Readiness Supporting Readiness Supporting Readiness Supporting Readiness Readiness Readiness Readiness Readiness Readiness Readiness Readiness Supporting Readiness Supporting Readiness Readiness Supporting Supporting Readiness Supporting Supporting Supporting Readiness Readiness Readiness Readiness Readiness Readiness Supporting Supporting Readiness Readiness Readiness Supporting

Content Student Expectation

Process Student Expectation

Correct Answer

6.6(A) 6.1(C) 6.9(A) 6.2(C) 6.4(B) 6.2(E) 6.10(D) 6.6(C) 6.8(D) 6.4(A) 6.2(B) 6.5(A) 6.10(B) 6.8(B) 6.2(C) 6.10(D) 6.6(B) 6.3(C) 6.8(A) 6.4(A) 6.10(C) 6.1(B) 6.8(B) 6.2(E) 6.1(B) 6.6(C) 6.2(B) 6.5(A) 6.8(B) 6.6(B) 6.3(C) 6.1(D) 6.10(D) 6.4(A) 6.1(F) 6.3(B) 6.2(C) 6.10(A) 6.3(A) 6.8(D) 6.6(C) 6.2(B) 6.5(A) 6.8(B) 6.10(D) 6.2(E) 6.7(A) 6.1(E) 6.3(C) 6.6(C) 6.1(B) 6.8(C)

6.11(B) 6.12(A) 6.11(C) 6.11(A) 6.12(A) 6.11(A) 6.12(A) 6.12(A) 6.11(A) 6.12(A) 6.11(A) 6.12(A) 6.11(A) 6.11(D) 6.11(A) 6.12(A)

A J C F C G D G A G B H A H B 40 D G C F A H D F B F D G C 55 D F C J A 0.05 C G C F B 8.67 D G C F D G C J A F

6.11(A) 6.11(B) 6.12(A) 6.12(A) 6.11(C) 6.11(A) 6.13(A) 6.11(D) 6.11(A) 6.12(A) 6.11(C) 6.11(C) 6.11(A) 6.12(A) 6.11(B) 6.12(A) 6.13(A) 6.11(A) 6.11(A) 6.12(A) 6.11(D) 6.12(A) 6.11(A) 6.11(D) 6.11(A) 6.11(B) 6.11(C) 6.11(D)

Grade 6 Answers

83

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