VIRGINIA STANDARDS OF LEARNING

Spring 2010 Released Test

GRADE 6MATHEMATICS

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.

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Grade 6 Mathematics Formula Sheet

Geometric Formulas

A = bh12

b

h

p = 4sA = s2

s

s

p = 2l + 2wA = lw

l

wr

Pi

227

Abbreviations

milligram mggram gkilogram kgmilliliter mLliter Lkiloliter kLmillimeter mmcentimeter cmmeter mkilometer kmsquare centimeter cm2

cubic centimeter cm3

ounce ozpound lbquart qtgallon gal.inch in.foot ftyard ydmile mi.square inch sq in.square foot sq ftcubic inch cu in.cubic foot cu ft

year yrmonth monhour hrminute minsecond sec

area Aperimeter pcircumference C

Copyright © 2006 by the Commonwealth of Virginia Department of Education

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3

Mathematics

Directions

Read each question and choose the best answer.

SAMPLE

Which is less than 1.064?

A 1.159B 1.059C 1.171D 1.071

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4

3 What is 11.25 divided by 0.5 ?

A 2,250B 225C 22.5D 2.25

2 Amy bought three CDs for $15.34, $17.57, and $10.29, including sales tax.She gave the clerk $50.00. Which is closest to the amount of change Amyshould receive?

F $1.00G $7.00H $10.00J $17.00

1 Hayden has $20 to spend at the county fair. Admission to the fair is $5.00 perperson, and tickets for food and games are $1.25 per ticket. What informationis needed to calculate the amount of money that Hayden will have left afterattending the fair?

A The number of prizes he wonB The number of hours he attendedC The number of tickets he purchasedD The number of miles the fair is from his house

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5

4 Donna and Darcy collected newspapers for recycling. Donna collected

pounds of newspaper. Darcy collected pounds of newspaper. What

was the total amount of newspaper they collected?

F pounds

G 8 pounds

H pounds

J 7 pounds

71

2

81

2

21

45

3

4

5 In her shopping cart, Jody has 2 pounds of oranges at $0.99 per pound, 3 cans of soup at $1.19 per can, and 1 gallon of ice cream at $3.79 per gallon.Which is closest to the total cost of the items in her shopping cart?

A $9.00B $8.00C $7.00D $6.00

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6

7 Which fraction is equivalent to

A

B

C

D 21

2

11

6

2

5

5

18

56

13

÷ ?

6

F 8G 80H 800J 8,000

)0 008 0 64. .

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7

8 Look at the table.

Which could be used to determine the total amount of money Gwen spentbefore tax?

F Multiply the cost per item by the number of items, then add the productsG Divide the cost per item by the number of items, then multiply the quotientsH Divide the cost per item by the number of items, then add the quotientsJ Multiply the cost per item by the number of items, then multiply the products

Items Gwen Purchased

Item

Sketchpad

Paintbrush

Box of chalk

5

2

1

$2.99

$5.99

$15.99

Numberof Items

Costper Item

9 Jasmine’s recipe requires cup flour. She has only cup of flour in the

pantry. How much more flour does she need?

A cups

B cup

C cup

D cup1

6

1

3

3

5

7

6

1

2

2

3

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8

10 The table shows the prices for CDs at 4 different stores.

Which store has the lowest price per CD?

F Budget BuyG CD CityH Music MallJ Shop Smart

CD Prices

Store Numberof CDs Total Price

Budget Buy 4 $30.00

CD City 2 $15.99

Music Mall 3 $21.99

Shop Smart 1 $8.99

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9

Do not turn the page until you are told.

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12 What is the greatest common factor of 18 and 33 ?

F 594G 198H 6J 3

10

11 A prime number can best be described as —

A a number with more than 2 different factorsB a number with exactly 2 different factorsC always an even numberD always an odd number

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111111

14 Which of the following is true?

FGHJ − −<70 77

− −<47 43

− >29 24

− =16 16

13 Which decimals are ordered from least to greatest ?

ABCD 1 0 0 8 0 05 0 009. . . ., , ,

1 0 0 05 0 8 0 009. . . ., , ,0 009 0 05 0 8 1 0. . . ., , ,0 009 0 8 0 05 1 0. . . ., , ,

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121212

17 Which percent is equivalent to

A 15%B 20%C 35%D 60%

35

?

16 Which is a composite number?

F 49G 47H 37J 29

15 Sam owns a canoe rental company with 120 boats. He has 55 wood boats, and the rest are fiberglass. What is the ratio of wood boats tofiberglass boats?

A 55:65B 65:55C 120:55D 120:65

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131313

18 Which digit could be found in the ones place of an odd number?

F 0G 1H 2J 4

19 Which is closest to the area of a classroom bulletin board?

A 2,000 square inchesB 2,000 square feetC 2,000 cubic inchesD 2,000 cubic feet

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141414

21 How many ounces are equivalent to 25 pounds?

A 175 ouncesB 200 ouncesC 370 ouncesD 400 ounces

20 Which angle has a measure closest to 90°?

FGHJ ∠ HQE

∠ HQD

∠ HQB

∠ HQA

H

A

B

C

D

E

Q

F

G

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151515

22 Nikki drew a sketch of the floor plan of her home.

Which two rooms in Nikki’s sketch appear to be congruent?

F Bedroom 1 and Family RoomG Dining Room and Bedroom 1H Living Room and Bedroom 2J Living Room and Dining Room

Family Room

Living RoomBedroom2

Bed

roo

m 1

Din

ing

Ro

om

23 A wheel has a radius of 67.5 meters. Which is closest to the circumference ofthis wheel?

A 211.95 mB 423.9 mC 4,556.25 mD 14,306.62 m

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161616

25 What is the area of the triangle shown?

A

B

C

D 96 2cm

48 2cm

40 2cm

32 2cm

8 cm

12 cm

24 What is equivalent to 3 gallons?

F 3 quartsG 4 quartsH 6 quartsJ 12 quarts

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171717

26 What number of feet equals 24 yards?

F 2G 8H 72J 288

27 Three angle measures of quadrilateral WXYZ are labeled in the figure.

What is the measure of

A 112°B 158°C 202°D 248°

∠WZY ?

W

X

Y

Z

116º

42º

?

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181818

29 Which of the following shapes is not a parallelogram?

A TrapezoidB RectangleC RhombusD Square

28 Which triangle appears to have 3 congruent angles?

F

G

H

J

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191919

30 A net of a three-dimensional figure is shown below.

Which is most likely the figure?

F

G

H

J

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202020

32 The first 200 visitors to a state park were asked about their favorite parkactivity. The results are shown in this circle graph.

Which of the following is closest to the number of these 200 visitors who saidhiking was their favorite activity?

F 25 visitorsG 40 visitorsH 50 visitorsJ 75 visitors

Favorite State ParkActivities

Camping

Hiking

Fishing

Swimming

31 If a data set has an odd number of data and is in numerical order, then themiddle value represents the —

A medianB rangeC meanD mode

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212121

33 This box-and-whisker plot displays information about the test scores for 25 students.

Based on the information in this box-and-whisker plot, which of the followingstatements is true?

A The highest score on the test is 90.B The range of the test scores is 15.C The median test score is 85.D The mean test score is 85.

60 65 70 75 80 85 90 95 100 105

Test Scores

34 A bag contains 4 red, 5 green, 3 blue, and 6 yellow tiles of equal size andshape. One tile is randomly selected from the bag. What is the probabilitythat the tile selected is blue?

F

G

H

J 16

15

13

56

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222222

36 Mr. Murphy asked 24 of his students how many miles they live from theschool. The stem-and-leaf plot shows the data.

Which of the following is a true conclusion based on the data in the stem-and-leaf plot?

F Five students live 1 mile from the school.G Three students live 4 miles from the school.H Exactly half the students live 7 or more miles from the school.J The maximum distance a student lives from the school is 15 miles.

Stem Leaf

012

101

105

11

12

13

24

24

3 3 4 5 5 6 7 8

2|1 = 21Key

35 Look at the table.

What is the mean of the number of tickets sold over these four days?

A 25B 27C 28D 29

Tickets Sold

Day NumberSold

Thursday

Friday

Saturday

Sunday

36

25

18

33

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232323

37 Andy is packing clothes for a camping trip.

Based on the chart, which of the following shows all of Andy’s possibleclothing combinations of 1 color of shirt, 1 type of pants, and 1 type of shoes?

blue shirt, shorts, bootsblue shirt, shorts, sandalsblue shirt, jeans, bootsblue shirt, jeans, sandalsgreen shirt, shorts, bootsgreen shirt, shorts, sandalsgreen shirt, jeans, bootsgreen shirt, jeans, sandals

blue shirt, shorts, bootsblue shirt, jeans, sandalsgreen shirt, shorts, bootsgreen shirt, jeans, sandals

blue shirt, shorts, bootsblue shirt, shorts, sandalsblue shirt, jeans, bootsblue shirt, jeans, sandalsgreen shirt, shorts, bootsgreen shirt, jeans, bootsred shirt, shorts, sandalsred shirt, jeans, sandals

blue shirt, shorts, bootsgreen shirt, jeans, sandals

Andy’s Clothes

Shirts Pants Shoes

Blue

Green

Shorts

Jeans

Boots

Sandals

A

B

C

D

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242424

38 This graph shows the number of people who used the Internet each year inthe United States from 1997 to 2003.

Based on the information in the graph, between which two years did thesmallest increase occur?

F 1997 and 1998G 1998 and 1999H 2001 and 2002J 2002 and 2003

U.S. Internet Use

Year

Peo

ple

(in

mil

lio

ns)

0

60

40

20

80

100

120

140

160

180

1997

1998

1999

2000

2001

2002

2003

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252525

39 What value of m makes this number sentence true?

A 175B 40C 30D 7

m− =5 35

40 Which word describes the boxed number?

F TermG VariableH EquationJ Coefficient

8 x y=

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262626

42 What is the solution to the following?

FGHJ n = 216

n = 42n = 30n = 6

n6

36=

41 Based on the equation mat, what is the value for x ?

A 2B 6C 22D 112

=

= 1= x,Key:

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272727

43 If the arithmetic pattern shown continues, what will be the 8th number?

A 34B 30C 12D 6

54 48 42 36, , , , . . .

44 Which of the following numbers is not a perfect square?

F 49G 90H 121J 144

45 Which of the following is equivalent to

ABCD 56

65

306

366

6 6 6 6 6× × × × ?

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282828

46 This pattern repeats after the first four shapes.

What should be the 11th shape in this repeating pattern?

F

G

H

J

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292929

47 What number sentence is modeled by the shapes shown?

ABCD x = 9

4 3x =4 12x =x + =4 12

� Key: = x = 1

48 What is the 10th term in the increasing pattern shown?

F 144G 89H 55J 34

1 1 2 3 5 8 13, , , , , ,

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303030

50 Which of these is the variable in the number sentence

F 4G 3HJ x

+

4 3 8x + = ?

49 Which could be the rule for the following pattern?

A Divide the previous number by 10.B Multiply the previous number by 10.C Subtract 900 from the previous number.D Add 0.09 to the previous number.

1 000 100 10 1 0 1 0 01, . .

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Test Sequence Number Correct Answer

ReportingCategory Reporting Category Description

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

10 H 002 Computation and Estimation11 B 001 Number and Number Sense12 J 001 Number and Number Sense13 B 001 Number and Number Sense14 H 001 Number and Number Sense15 A 001 Number and Number Sense16 F 001 Number and Number Sense17 D 001 Number and Number Sense18 G 001 Number and Number Sense19 A 003 Measurement and Geometry20 G 003 Measurement and Geometry21 D 003 Measurement and Geometry22 F 003 Measurement and Geometry23 B 003 Measurement and Geometry24 J 003 Measurement and Geometry25 C 003 Measurement and Geometry26 H 003 Measurement and Geometry27 A 003 Measurement and Geometry28 J 003 Measurement and Geometry29 A 003 Measurement and Geometry30 G 003 Measurement and Geometry31 A 004 Probability and Statistics32 H 004 Probability and Statistics33 C 004 Probability and Statistics34 J 004 Probability and Statistics35 C 004 Probability and Statistics36 F 004 Probability and Statistics37 A 004 Probability and Statistics38 J 004 Probability and Statistics39 B 005 Patterns, Functions, and Algebra40 J 005 Patterns, Functions, and Algebra41 B 005 Patterns, Functions, and Algebra42 J 005 Patterns, Functions, and Algebra43 C 005 Patterns, Functions, and Algebra44 G 005 Patterns, Functions, and Algebra45 C 005 Patterns, Functions, and Algebra46 H 005 Patterns, Functions, and Algebra47 B 005 Patterns, Functions, and Algebra48 H 005 Patterns, Functions, and Algebra49 A 005 Patterns, Functions, and Algebra50 J 005 Patterns, Functions, and Algebra

Answer Key-6073-M0110

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If you get this many items

correct:

Then your converted scale

score is:0 0001 0282 0833 1174 1415 1616 1777 1928 2059 21710 22711 23812 24713 25614 26515 27316 28117 28918 29719 30420 31221 31922 32623 33424 34125 34826 35527 36228 36929 37730 38431 39132 39933 40734 41535 42336 43237 44038 45039 46040 47041 48142 49343 50644 52145 53846 55847 58348 60049 60050 600

Grade 6 Math, Core 1

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