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Mathematics PRACTICE TEST Grade 5 Student Name School Name District Name MASSACHUSETTS COMPREHENSIVE ASSESSMENT SYSTEM

MCAS Grade 5 Mathematics Practice Test

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Page 1: MCAS Grade 5 Mathematics Practice Test

MathematicsPRACTICE TEST

Grade 5

Student Name

School Name

District Name

MASSACHUSETTS COMPREHENSIVE ASSESSMENT SYSTEM

Page 2: MCAS Grade 5 Mathematics Practice Test

Grade 5 MathematicsSESSION 1

This session contains 6 questions.

You may use your reference sheet during this session. You may not use a calculator during this session.

2 Go On

DirectionsRead each question carefully and then answer it as well as you can. You must record all answers in this Practice Test Booklet.

For some questions, you will mark your answers by filling in the circles in your Practice Test Booklet. Make sure you darken the circles completely. Do not make any marks outside of the circles. If you need to change an answer, be sure to erase your first answer completely.

For other questions, you will need to fill in an answer grid. Directions for completing questions with answer grids are provided on the next page.

If a question asks you to show or explain your work, you must do so to receive full credit. Write your response in the space provided. Only responses written within the provided space will be scored.

Page 3: MCAS Grade 5 Mathematics Practice Test

Mathematics Session 1

Go On 3

Mathematics Session 1

Directions for Completing Questions with Answer Grids

1. Workthequestionandfindananswer.

2. Enteryouranswerintheanswerboxesatthetopoftheanswergrid.

3. Printonlyonenumberorsymbolineachbox.Donotleaveablankboxinthemiddleofananswer.

4. Undereachanswerbox,fillinthecirclethatmatchesthenumberorsymbolyouwroteabove.Makeasolidmarkthatcompletelyfillsthecircle.

5. Donotfillinacircleunderanunusedanswerbox.

6. Ifyouneedtochangeananswer,besuretoeraseyourfirstanswercompletely.

7. Seebelowforexamplesofhowtocorrectlycompleteananswergrid.

EXAMPLES

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Page 4: MCAS Grade 5 Mathematics Practice Test

MA624346092PC A

q Which of the following represents this number written in expanded form?

four hundred sixteen and eighty-two hundredths

A4 × 100 + 1 × 10 + 6 × 1 + 8 × 110 + 2 × 1100

B4 × 100 + 1 × 10 + 6 × 1 + 80 × 110 + 2 × 1100

C400 × 100 + 10 × 10 + 6 × 1 + 8 × 110 + 2 × 1100

D400 × 100 + 10 × 10 + 6 × 1 + 80 × 110 + 2 × 1100

PRACTICE_EEPC D

w What is the value of this expression?

310

_ 14 + 45

A910

B611

C620

D1720

Mathematics Session 1

4 Go On

Page 5: MCAS Grade 5 Mathematics Practice Test

PRACTESTG5LPPC C

e This list shows the shoe sizes of eight students in a fifth-grade class.

Student’s Shoe Sizes

6

7

8

612

612

612

712

712

Name

Becca

Cara

Dean

Kareem

Leah

Luke

Suzanne

Wally

Shoe Size

Which of the following line plots correctly represent

Shoe Size

Student’s Shoe Sizes

XXX

XX

X XX

6 7 8612 71

2 812

s the shoe sizes of the students?

A

Shoe Size

Student’s Shoe Sizes

X X X X X

6 7 8612 71

2 812

C

Shoe Size

Student’s Shoe Sizes

X XXX

X XX

X

6 7 8612 71

2 812

B

D

Shoe Size

Student’s Shoe Sizes

X XX

X XX

X

6 7 8612 71

2 812

Mathematics Session 1

5 Go On

Page 6: MCAS Grade 5 Mathematics Practice Test

This question has two parts.PRACTICE_2Point_TEIPC D,A

r A gardener planted asparagus, beans, and corn in a garden. The gardener will use a coordinate plane to show where in the garden each crop was planted.

Part A

Thelocationofthecornisshownonthiscoordinateplane.

x

y

4

4 5

3

3

2

2

1

0

89

765

1 8 976

Corn

Which of the following ordered pairs represents the location of the corn?

A(9, 5)

B(9, 6)

C(5, 9)

D(6, 9)

Mathematics Session 1

6 Go On

Page 7: MCAS Grade 5 Mathematics Practice Test

Part B

The location of the asparagus is (9, 2). The location of the beans is (3, 5).

Which coordinate plane represents the locations of the asparagus and the beans?

A

x

y

4

4 5

3

3

2

2

1

0

89

765

1 8 976

Corn

Beans

Asparagus

C

x

y

4

4 5

3

3

2

2

1

0

89

765

1 8 976

CornAsparagus

Beans

B

x

y

4

4 5

3

3

2

2

1

0

89

765

1 8 976

Corn

Asparagus

Beans

D

x

y

4

4 5

3

3

2

2

1

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89

765

1 8 976

CornAsparagus

Beans

Mathematics Session 1

7 Go On

Page 8: MCAS Grade 5 Mathematics Practice Test

PRACTESTG5HSPC A,E

t Which of the following expressions have a product that is greater than 25 ?

Select the two correct answers.

A25 × 32

B25 × 13

C25 × 34

D25 × 66

E25 × 41

PRACTESTG5MC B

y A farmer has 20 bins of apples. Each bin has 25 red apples and 30 green apples.

Which of the following expressions can be used to find the total number of apples in all the bins?

A20 + (25 × 30)

B20 × (25 + 30)

C(20 + 25) × (20 + 30)

D(20 × 25) × (20 × 30)

Mathematics Session 1

8

Page 9: MCAS Grade 5 Mathematics Practice Test

Grade 5 MathematicsSESSION 2

This session contains 6 questions.

You may use your reference sheet during this session. You may not use a calculator during this session.

DirectionsRead each question carefully and then answer it as well as you can. You must record all answers in this Practice Test Booklet.

For some questions, you will mark your answers by filling in the circles in your Practice Test Booklet. Make sure you darken the circles completely. Do not make any marks outside of the circles. If you need to change an answer, be sure to erase your first answer completely.

For other questions, you will need to fill in an answer grid. Directions for completing questions with answer grids are provided on the next page.

If a question asks you to show or explain your work, you must do so to receive full credit. Write your response in the space provided. Only responses written within the provided space will be scored.

9 Go On

Page 10: MCAS Grade 5 Mathematics Practice Test

Directions for Completing Questions with Answer Grids

1. Workthequestionandfindananswer.

2. Enteryouranswerintheanswerboxesatthetopoftheanswergrid.

3. Printonlyonenumberorsymbolineachbox.Donotleaveablankboxinthemiddleofananswer.

4. Undereachanswerbox,fillinthecirclethatmatchesthenumberorsymbolyouwroteabove.Makeasolidmarkthatcompletelyfillsthecircle.

5. Donotfillinacircleunderanunusedanswerbox.

6. Ifyouneedtochangeananswer,besuretoeraseyourfirstanswercompletely.

7. Seebelowforexamplesofhowtocorrectlycompleteananswergrid.

EXAMPLES

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Mathematics Session 2

Go On

Page 11: MCAS Grade 5 Mathematics Practice Test

MA624346744PC A,D,E

u Which of the following statements are true?

Select the three correct answers.

AThe product of 6 × 53 will be greater than 6 because the fraction 5

3 is

greater than 1.

BThe product of 6 × 53 will be less than 6 because the fraction 5

3 is less than 1.

CThe product of 7 × 66 will be greater than 7 because the fraction 6

6 is

greater than 1.

DThe product of 7 × 66 will be equal to 7 because the fraction 6

6 is

equal to 1.

EThe product of 3 × 23 will be less than 3 because the fraction 2

3 is

less than 1.

FThe product of 3 × 23 will be equal to 3 because the fraction 2

3 is

equal to 1.

11 Go On

Mathematics Session 2

Page 12: MCAS Grade 5 Mathematics Practice Test

MA298105 X

i A package is in the shape of a right rectangular prism.

• The base of the package has an area of 15 square inches.

• The height of the package is 12 inches.

What is the volume, in cubic inches, of the package?

Enter your answer in the answer boxes at the top of the answer grid and completely fill the matching circles.

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Mathematics Session 2

Page 13: MCAS Grade 5 Mathematics Practice Test

PRACTESTG5FMPC C

o In which of the following models does the shaded part show the product of this expression?

23 × 12

A

C

B

D

13 Go On

Mathematics Session 2

Page 14: MCAS Grade 5 Mathematics Practice Test

PRACTEST5NBTA04PC A,D,F

a A student wants to round this number.

89.473

Which of these statements about rounding the number are correct?

Select the three correct answers.

AThe number 89.473 rounded to the nearest one is 89.

BThe number 89.473 rounded to the nearest one is 90.

CThe number 89.473 rounded to the nearest tenth is 89.47.

DThe number 89.473 rounded to the nearest tenth is 89.5.

EThe number 89.473 rounded to the nearest hundredth is 89.46.

FThe number 89.473 rounded to the nearest hundredth is 89.47.

14 Go On

Mathematics Session 2

Page 15: MCAS Grade 5 Mathematics Practice Test

PRACTEST5NBTA04PC A,E

s Which of the following conversions are correct?

Select the two correct answers.

A2 g = 2,000 mg

B2 g = 0.02 kg

C0.002 mg = 2 g

D20 mg = 2,000 g

E20 kg = 20,000 g

15 Go On

Mathematics Session 2

Page 16: MCAS Grade 5 Mathematics Practice Test

This question has four parts. Be sure to label each part of your response.MA311361 Common

d The floor of Sophia’s bathroom is in the shape of a rectangle. She covered the floor with square tiles, as shown.

wid

th

length

ft.12—

ft.12—

A. What is the width, in feet, of the floor?

B. Write an equation that can be used to find s, the area in square feet of the floor.

C. Use your equation from Part B to find s, the area in square feet of the floor. Show or explain how you got your answer.

Sophia bought a rug. The rug covers 23 of the floor.

D. What is the area, in square feet, of the rug? Show or explain how you got your answer.

16 Go On

Mathematics Session 2

Page 17: MCAS Grade 5 Mathematics Practice Test

d

17

Mathematics Session 2