End of Grade 4 I.R.P.

Beginning of Grade 5 Diagnostic Math Assessment

Vancouver IslandNet

1) Juice costs $1.25 for one carton. How much will three cartons of juice cost? A $2.50 B $3.25 C $3.75 D $4.75

2) A package of paper has 75 sheets. There are three students. How many sheets of paper will each student get if the package is divided equally? A 22 B 25 C 72 D 78

3) What is the value of the underlined digit?

3333 A Three B Thirty C Three hundred D Three thousand

Vancouver IslandNet - Beginning of Grade 5 1

4) What is the largest number that can be made using the digits? A 4 762

6

B 6 742

2

C 7 462 D 7 642

7

4

5) What is the numeral for nine thousand six hundred two? A 6 290 B 9 260 C 9 602 D 9 620

6) Smallville has 3 482 people. Springfield has 4 659 people. What is the total population of both cities? A 7 131 B 7 141 C 8 131

Springfield pop. 4 659

D 8 141

Vancouver IslandNet - Beginning of Grade 5 2

Smallville pop. 3 482

7) Mr Rennie’s class read 6 808 books. Mrs Nelson’s class read 5 764. How many more books did Mr Rennie’s class read? A 1 044 B 1 064 C 1 164 D 2 572

8) Which fraction of the diagram is black? A

1 5

B

1 4

C

1 3

D

4 5

9) What part of the diagram is black? A 0.2 B 0.3 C 0.5 D 0.8

Vancouver IslandNet - Beginning of Grade 5 3

10) The graph below shows how many minutes Marni read in one week. On which day did she read 70 minutes? Marni’s Reading A Monday 100 B Tuesday Minutes

C Wednesday D Thursday

90 80 70 60 50 40 30 20 10 0 Mon.

Tues.

Wed.

Thurs.

Days of the Week 11) Jane put her hand in this box and selected a card. Which card would she least likely pull from the box? A Hockey B Baseball

27 Hockey Cards 33 Baseball Cards 21 Football Cards 19 Basketball Cards

C Football D Basketball

12) What are the next 3 numbers in this pattern? 12, 8, 11, 7, __, __, __ A 7, 3, 6 B 10, 6, 9 C 8, 6, 4 D 7, 5, 3

Vancouver IslandNet - Beginning of Grade 5 4

13) There are 20 hockey sticks at a bench. Every fourth stick is yellow. How many yellow sticks are there? A 4 B 5 C 6 D 7

14) Alex buys his lunch. Juice is $1.95, chips are $1.05 and a sandwich cost $3.95. About how much to the nearest dollar will he spend for lunch? A $6.00 B $7.00 C $7.50 D $8.00

15) School begins each weekday at 8:45 am and ends at 2:15 pm. How much time is spent at school each day? A 5.0 hours B 5.5 hours C 6.0 hours D 6.5 hours

Vancouver IslandNet - Beginning of Grade 5 5

16) A slice of pizza costs $2.75. Paul buys two slices of pizza. How much change should he get back from a $10 bill? A $4.50 B $5.50 C $6.00 D $7.25

17) A child’s doll is 55 cm in length. Which of the following measurements is the same height? A 5.05 cm B 550 mm C 5.50 m D 55.0 m

18) What is the name of this shape? A Trapezoid B Parallelogram C Square D Rectangle

Vancouver IslandNet - Beginning of Grade 5 6

19) What is the same time as 9:00 p.m.? A 0900 h B 1800 h C 1900 h D 2100 h

20) Which of the following is a right angle? A

B

C

D

21) Which diagram shows parallel lines? A

B

C

D

Vancouver IslandNet - Beginning of Grade 5 7

22) How many kilometres will Cindy jog in 5 hours?

Cindy’s Jog

A 18 km

Hours

Kilometres

B 20 km

1

4

C 22 km

2

8

3

12

4

16

5

?

D 24 km

23) What is the location of the triangle? A (E,6) B (B,2)

6 5 4

C (D,3) 3

D (F,5)

2 1 A

B

C

24) How many 250 mL bottles does it take to fill an empty one-litre bottle? A 2 B 4 C 5 D 7

Vancouver IslandNet - Beginning of Grade 5 8

D

E

F

25) What unit would be best to measure the area of a gym floor? A mm2 B cm2 C m2 D km2

End of Multiple Choice Questions

Turn Page for Written Questions

Vancouver IslandNet - Beginning of Grade 5 9

Problem Solving - Written Response 26) An ice cream stand has five flavours:

Bubble gum

Licorice

Raspberry

Marshmallow

Richard would like three different flavours on his ice cream cone. Show all the possible combinations. Please show all of your work below.

Vancouver IslandNet - Beginning of Grade 5 10

Chocolate

27) Construct a bar graph showing how many students prefer each food. Please include a title, labels and scale. •................................................................................... Hot dogs •................................................................................... Hamburgers •................................................................................... Pizza •................................................................................... Subs

16 students 12 students 9 students 11 students

Vancouver IslandNet - Beginning of Grade 5 11

28) A garden has an area of 36 m2. Draw all of the different square or rectangular shapes the garden could be. Be sure to label the dimensions (length and width).

Vancouver IslandNet - Beginning of Grade 5 12

29) Richelle bought four stickers. Red stickers cost 40¢. Green stickers cost 20¢ .

Show all the different amounts she could have spent.

Vancouver IslandNet - Beginning of Grade 5 13

BASIC MATH COMPUTATION from Grade 4 158 - 35

235 - 16

607 - 32

756 + 16

789 + 76

604 - 37

8x7

1x6

0x5

34 x 2

56 x 5

29 x 8

0÷8

7÷1

26 ÷ 5

45 ÷ 4

Vancouver IslandNet - Beginning of Grade 5 14

Answer Key Strand 1. 2. 3. 4. 5. 6. 7. 8. 9.

C B C D C D A A C 10. D 11. D 12. B 13. B

26.

27.

(Number) Operations (Number) Division (Number) Place value (Number) Place value (Number) Numeral to word form (Number) Addition (Number) Subtraction (Number) Fractions (Number) Decimal Fractions (Statistics & Probability) Data Analysis (Statistics & Probability) Probability (Number) Division (Number)

14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25.

B A A B A C A D B C B C

(Shape & Space) Estimation (money) (Shape & Space) Time (Number) Money (Shape & Space) Length metric (Shape & Space) Geometry (Shape & Space) 24 hr clock (Shape & Space) Geometry - angles (Shape & Space) Geometry - forms (Patterns) Charts (Statistics & Probability) Graphing (Shape & Space) Capacity (Shape & Space) Measurement - units

1 Attempts at trying to make a combination or use a strategy. Made an attempt to reach a subgoal

2 One to four combinations. Didn’t carry out work far enough to obtain entire solution

3 Five to eight combinations. May have misunderstood part of the question

4 Nine or ten correct combinations. Appropriate strategies used to solve problem

1 A start on graph or calculations bars or scale only Made an attempt to reach a subgoal

2 Scale correct and axis labelled One or two bars Bars on graph but inaccurate Calculations incorrect Didn’t carry out work far enough to obtain entire solution

3 One incorrect calculation One label missing Scale slightly inaccurate Bars, but not all accurate May have misunderstood part of the question

4 All calculations correct Complete labels Proper scale Accurate bars on graph Appropriate strategies used to solve problem

Vancouver IslandNet - Beginning of Grade 5 15

28.

1 Some attempt at trying to calculate area or use a strategy to find area Made an attempt to reach a subgoal

2 One to three correct combinations Didn’t carry out work far enough to obtain entire solution

3 Four correct combinations May have misunderstood part of the question

4 Five correct combinations 36-1; 18-2; 12-3; 9-4; 6-6 Four correct combinations

1 Some combining of 20¢ and 40¢ not leading to a correct sum Made an attempt to reach a subgoal

2 One to three combinations with sums shown Didn’t carry out work far enough to obtain entire solution

3 Five correct combinations but no sums shown Four correct combinations with sums shown May have misunderstood part of the question

4 Five combinations with correct calculations 80¢; $1.00; $1.20; $1.40; $1.60 Appropriate strategies used to solve problem

29.

Basic Math Computations 123

219

575

772

865

567

56

6

0

68

280

232

7

5.2 or 5 R1 1 5 5

11.25 11 R1

0

Vancouver IslandNet - Beginning of Grade 5 1

Quick Scale: Grade 4 Numeracy This Quick Scale is a summary of the criteria described in detail in the Rating Scale that follows. These criteria may apply at any time of the year, depending when specific skills or concepts are introduced. Aspect

Not Yet Within Expectations

Meets Expectations (Minimal Level)

Fully Meets Expectations

Exceed Expectations

Snapshot

The student may be unable to complete the task without ongoing help; cannot follow procedures independently.

The work satisfies most basic requirements of the task, but it is flawed or incomplete in some way. The student may need some help.

Work is complete and accurate (may include minor flaws or errors). The student is able to develop a simple extension.

Work is complete, accurate, and efficient. The student may find an alternative or a shortcut, or develop an extension.

Concepts and Applications* recognizing mathematics grade-specific concepts, skills patterns, relationships

may be unable to identify the basic concepts and procedures needed work is inaccurate or incomplete may need one-to-one support to identify simple patterns and relationships

identifies some of the concepts and procedures needed applies most relevant concepts and skills appropriately; some errors or omissions identifies simple patterns and relationships it prompted 9e.g., to make predictions)

identifies concepts and procedures needed applies relevant concepts and skills; may be somewhat inefficient or make minor errors. identifies, explains, and uses simple patterns and relationships

Strategies and Approaches procedures estimates to verify solutions

cannot break the task into stages, steps, or sections unable to verify results or solutions

tries to follow instructions; does not check or adjust procedures needs help verify results or solutions

structures the task logically; may be inefficient if asked, verifies results or solutions

structures the task efficiently may independently verify results or solutions

Accuracy recording, calculations

may include major errors in recording or calculations

may include some recording or calculation errors; comparisons are generally reasonable

recording and calculations are generally accurate; may be minor errors

accurate recording and calculations, including units, may use mental math

Representation and Communication presenting work constructing charts, diagrams, displays explaining procedures, results

work may be unclear and confusing may omit or make major errors in tables, charts, displays, diagrams. may be unable to explain procedures and results

work may be confusing in places includes most required tables, charts, displays and diagrams; some errors or omissions explanations and conclusions may be incomplete; little mathematical language

work is generally clear, easy to follow required tables, charts, graphs, and diagrams are generally accurate; minor errors or omissions offers logical explanations and conclusions; some mathematical language

work is clear and easy to follow required tables, charts, graphs, diagrams are accurate and complete offers logical explanations and conclusions; uses mathematical language

* You may want to list key curriculum concepts or skills for a particular task.

BC Performance Standards: Numeracy

Vancouver IslandNet - Beginning of Grade 5 2

identifies concepts and procedures needed; may propose alternative solutions applies relevant concepts and skills efficiently; precise identifies, explains, and uses patterns and relationships; may notice subtle patterns