VIRGINIA STANDARDS OF LEARNING

Spring 2010 Released Test

GRADE 4MATHEMATICS

Form M0110, CORE 1

Property of the Virginia Department of Education

Copyright ©2010 by the Commonwealth of Virginia, Department of Education, P.O. Box 2120, Richmond, Virginia 23218-2120. All rights reserved. Except as permitted by law, this material may not be reproduced or used in any form or by any means, electronic or mechanical, including photocopying or recording, or by any information storage or retrieval system, without written permission from the copyright owner. Commonwealth of Virginia public school educators may reproduce any portion of these released tests for non-commercial educational purposes without requesting permission. All others should direct their written requests to the Virginia Department of Education, Division of Student Assessment and School Improvement, at the above address or by e-mail to Student_Assessment@doe.virginia.gov.

3

Mathematics

Directions

Read each question and choose the best answer.

SAMPLE

Which number has a 9 in the ones place?

A 9,555B 5,955C 5,595D 5,559

4

1 The difference between 76,423 and 29,876 is best described as closest to —

A 60,000B 50,000C 40,000D 30,000

2 is closest to —

F 100G 600H 1,000J 1,800

53 18×

5

3 What is the sum of the fractions shown by the shaded parts of the models?

A

B

C

D1015

710

510

515

Model 1 Model 225

310

6

6

F 21G 23H 24J 28

)6 138

5 The difference is best described as a little more than —

A 200B 300C 400D 500

743 239−

4

F 1.34G 2.66H 3.28J 7.06

4 2 2 86. . ?___− =

7

8 Which is closest to

F 10G 20H 30J 40

82 7÷ ?

7

A 5.65B 5.75C 6.65D 6.75

3 76 2 99. . ?___+ =

9 What is the difference between

A

B

C

D 87

47

414

40

67

27

and ?

8

11 Kim and José shared one whole pizza. Kim ate of the pizza, and José ate

of the pizza. How much of the pizza was eaten?

A

B

C

D 1112

712

512

112

312

46

10 Ms. Kraft bought 4 bags of rocks for her garden. Each bag contained 107 rocks. What is the total number of rocks she bought?

F 408G 424H 428J 468

107 4× = ?___

9

12

F 29,216G 31,224H 39,124J 39,226

71 96542 749

,,−

Do not turnthe page untilyou are told.

10

13 The fraction bars each show one whole divided into fractional parts.

Which is true?

A

B

C

D 34

12

>

23

34

=

34

12

=

12

23

>

14 How is 75,054 written in words?

F Seventy-five, fifty-fourG Seventy-five hundred, fifty-fourH Seventy-five thousand, fifty-fourJ Seventy-five thousand, five hundred four

11

16 What is 265,200 rounded to the nearest hundred thousand?

F 200,000G 265,000H 270,000J 300,000

15 Which statement is true?

ABCD 5 092 5 902, ,>

9 350 4 958, ,<4 958 9 350, ,<6 785 6 857, ,=

12

17 There are 4 fraction strips shown.

Which fraction has the least value?

A

B

C

D12

14

15

13

13

13

13

12

12

14

14

14

14

15

15

15

15

15

13

19 This model is shaded to represent the number 1.

The model shown is shaded to represent part of 1.

Which decimal best represents the shaded part of this model?

A 0.42B 0.042C 4.2D 42

18 Which of the following numbers will round to 26 ?

F 25.3G 25.5H 26.7J 27.1

14

20 This model represents

Which model represents a fraction that is equivalent to 26

?

26

.

F

G

H

J

15

22 A puppy weighs 2 pounds. What is the puppy’s weight in ounces?

F 32 ouncesG 20 ouncesH 16 ouncesJ 8 ounces

21 Which pair of figures appears to be congruent?

A

B

C

D

16

24 A paper clip is 2.5 centimeters long. Which is closest to the length, in inches,of the paper clip?

F 1G 2H 5J 12

23 The drawing shows lines a, b, j, and k.

Which of the following pairs of lines appear to be perpendicular?

A Lines a and jB Lines b and jC Lines a and kD Lines a and b

a

b

j k

17

26 Which is true of a square?

F It has no sides of equal length.G It has 4 curved sides.H It has only 1 pair of parallel sides.J It has 4 right angles.

25 Which measurement is closest to the volume of liquid in this beaker?

A 10 millilitersB 20 millilitersC 30 millilitersD 40 milliliters

20

10

30

mL

18

27 Use your centimeter (cm) ruler to answer this question.

Which is closest to the perimeter of the figure shown?

A 21 cmB 18 cmC 12 cmD 9 cm

19

28

What is the maximum number of line segments shown in this drawing?

F 4G 5H 10J 11

A

BE

C

D

20

29 Use your inch ruler to help you answer this question.

Which is closest to the length of this notepad?

A 4 inches

B

C 5 inches

D 512

inches

4 12

inches

21

31 Kenny measured the mass of a candle on a balance scale.

Which appears to be the mass of the candle pictured?

A 500 gB 550 gC 600 gD 650 g

500g

100g

50g

30

Which two shapes appear to be congruent?

F 1 and 2G 2 and 3H 3 and 4J 4 and 1

1 2 3 4

22

32 Which ordered pair would have to represent point D in order to completerectangle ABCD ?

F

G

H

J ( , )5 2

( , )4 2

( , )2 5

( , )2 4

7

6

5

4

3

2

1

0 1 2 3 4 5 6 7

A B

C

x

y

23

33 Gary filled his 10,000-gallon swimming pool with water from a garden hose.He started filling the pool at 10:00 A.M.

Gary continues to add water to the pool at this same rate. Which is closest tothe number of gallons of water that will be in the pool at 2:00 P.M. on thesame day?

A 300 gallonsB 1,200 gallonsC 1,500 gallonsD 1,600 gallons

Water in Swimming Pool

Time

Nu

mb

er o

f G

allo

ns

1,800

1,600

1,400

1,200

1,000

800

600

400

200

010

A.M.

11 A.

M.

12 P.

M.

1 P.M

.2

P.M.

24

34 A pouch contains 5 blue marbles, 2 red marbles, 1 green marble, and 4 pinkmarbles.

What is the probability that Jorge will select, without looking, a red marble onthe first try?

F

G

H

J 212

210

12

1012

Green

Red

Red Pink

Pink

Pink

Pink

Blue

BlueBlue

Blue

Blue

25

35 This bar graph shows the number of letters written by students in four third-grade classrooms.

Which question cannot be answered using the information in this bar graph?

A Which two classrooms combined wrote 35 letters?B Which classroom wrote the least number of letters?C Which classroom wrote the greatest number of letters?D Which month did Mr. Williams’ class write the most letters?

30

25

20

15

10

5

0Ms. Katz Ms. Garza Mr. Williams Ms. Yin

Nu

mb

er o

f Le

tter

s

Classroom

Letters Written

26

36 The table shows the number of cans of different-colored paint in Mr. Eggan’sgarage. Each can is the same size.

Mr. Eggan chooses one paint can without looking. What is the probability thefirst can chosen will be a can of white paint?

F

G

H

J43

34

47

37

Color Number

3

4

Mr. Eggan’s Paint Cans

Peach

White

27

37 Margaret bought a box of 12 doughnuts. It is impossible for the doughnutpicked from the box to be glazed. Which of the following is the number ofglazed doughnuts in the box?

A 0B 1C 2D 3

28

Which line graph correctly shows thisinformation?

38 This table shows the number ofpeople in Lou’s Restaurant atdifferent times during the sameday.

12:00 3:00 6:00 9:00Time

Numberof

People35 10 50 45

People in Lou’s Restaurant

F

12:00 3:00 6:00 9:000

10

20

30

40

50

60

People in Lou’s Restaurant

Time

Nu

mb

er o

f P

eop

le

G

12:00 3:00 6:00 9:000

10

20

30

40

50

60

People in Lou’s Restaurant

Time

Nu

mb

er o

f P

eop

le

H

12:00 3:00 6:00 9:000

10

20

30

40

50

60

People in Lou’s Restaurant

Time

Nu

mb

er o

f P

eop

le

J

12:00 3:00 6:00 9:000

10

20

30

40

50

60

People in Lou’s Restaurant

Time

Nu

mb

er o

f P

eop

le

29

39 A box contains 45 bags of cheese popcorn and 5 bags of caramel popcorn.Which of the following best describes the chances that the first bag ofpopcorn taken from the box will be caramel popcorn?

A ImpossibleB Unlikely, but not impossibleC Likely, but not certainD Certain

40 Taylor put the following fruit stickers of the same size and shape in a bag:

• 2 apple stickers• 3 orange stickers• 1 pear sticker• 2 plum stickers

Taylor will pick one fruit sticker from the bag without looking. What is theprobability the sticker will be a pear sticker?

F

G

H

J 13

14

17

18

30

42 When four members of a basketball team stand in a certain order as shown,the numbers on their uniforms make a pattern.

Which rule describes this pattern?

F Add 8G Multiply by 9H Divide by 6J Subtract 12

42 30 18 54

41 Which number correctly completes this number sentence?

A 59B 45C 17D 14

45 14 17 14 45+ + = + +( ) ( )

31

44 This table shows the number of minutes Lee practiced tennis during 4 weeks.

If the pattern shown in the table continues in the same way, how manyminutes will Lee practice during the 6th week?

F 365G 345H 300J 255

75120165210

1234

Tennis Practice

MinutesWeek

43 Which number sentence is true?

ABCD 29 16 3 16 29 3+ − = + +( ) ( )

15 19 24 19 24 15+ + = + −( ) ( )33 18 2 18 33 2+ + = + +( ) ( )21 7 6 7 21 6− + = + +( ) ( )

32

46 The numbers on these mailboxes form a pattern.

This pattern continues in the same way. Which number will be on the next mailbox?

F 202G 200H 199J 197

215 211 207 203

45 Which number sentence is not true?

A

B

C

D 8 2 3 8 2 3× × = × ×( ) ( )

( ) ( )5 5 2 5 5 2+ + = + +

( ) ( )5 2 1 5 2 4× × = × ×

( ) ( )6 5 3 6 5 3+ + = + +

33

48 Which statement is true?

FGHJ 3 8 4 6× = ×

3 6 2 12× = ×2 9 4 6× = ×2 9 3 8× = ×

47 Harry saw these columns being built for a highway overpass. Each of thecolumns has 2 more blocks than the column before it.

If this pattern continues, how many blocks should the 5th column have?

A 8B 10C 12D 14

1st

2nd

3rd

4th

34

50 What number makes this number sentence true?

F 4G 7H 11J 13

7 13 4+ + = + +( ) (7 __) 4

49 Look at the pattern of numbers.

What is the missing number in this pattern?

A 20B 26C 28D 30

2 10 18 34 42, , , __ , ,

Test Sequence Number Correct Answer

ReportingCategory Reporting Category Description

1 B 002 Computation and Estimation2 H 002 Computation and Estimation3 C 002 Computation and Estimation4 F 002 Computation and Estimation5 D 002 Computation and Estimation6 G 002 Computation and Estimation7 D 002 Computation and Estimation8 F 002 Computation and Estimation9 C 002 Computation and Estimation

10 H 002 Computation and Estimation11 D 002 Computation and Estimation12 F 002 Computation and Estimation13 D 001 Number and Number Sense14 H 001 Number and Number Sense15 B 001 Number and Number Sense16 J 001 Number and Number Sense17 B 001 Number and Number Sense18 G 001 Number and Number Sense19 A 001 Number and Number Sense20 F 001 Number and Number Sense21 A 003 Measurement and Geometry22 F 003 Measurement and Geometry23 C 003 Measurement and Geometry24 F 003 Measurement and Geometry25 C 003 Measurement and Geometry26 J 003 Measurement and Geometry27 A 003 Measurement and Geometry28 H 003 Measurement and Geometry29 B 003 Measurement and Geometry30 J 003 Measurement and Geometry31 D 003 Measurement and Geometry32 F 003 Measurement and Geometry33 B 004 Probability and Statistics34 J 004 Probability and Statistics35 D 004 Probability and Statistics36 G 004 Probability and Statistics37 A 004 Probability and Statistics38 H 004 Probability and Statistics39 B 004 Probability and Statistics40 F 004 Probability and Statistics41 C 005 Patterns, Functions, and Algebra42 J 005 Patterns, Functions, and Algebra43 B 005 Patterns, Functions, and Algebra44 H 005 Patterns, Functions, and Algebra45 B 005 Patterns, Functions, and Algebra46 H 005 Patterns, Functions, and Algebra47 C 005 Patterns, Functions, and Algebra48 J 005 Patterns, Functions, and Algebra49 B 005 Patterns, Functions, and Algebra50 J 005 Patterns, Functions, and Algebra

Answer Key-4071-M0110

If you get this many items

correct:

Then your converted scale

score is:0 0001 0732 1223 1524 1735 1906 2057 2188 2299 23910 24911 25812 26613 27414 28115 28916 29617 30318 30919 31620 32221 32822 33523 34124 34725 35326 35927 36628 37229 37830 38531 39132 39833 40534 41235 41936 42737 43538 44339 45240 46141 47142 48243 49444 50845 52346 54147 56448 59449 60050 600

Grade 4 Math, Core 1