GRADE 6 MATHEMATICS - SolPass

VIRGINIA STANDARDS OF LEARNING

Spring 2006 Released Test

GRADE 6MATHEMATICS

CORE 1

Property of the Virginia Department of Education

©2006 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 anymeans, 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 noncommercial educational purposes without requesting permission.All others should direct their written requests to the Virginia Department of Education, Division of Assessment andReporting, at the above address or by e-mail to [email protected].

Sample RB front cover 9/8/06 10:11 AM

2006_06MthFormulaSht2 12/2/05 9:58 AM

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

2006_06MthFormulaSht2 12/2/05 9:58 AM Page 1

DIRECTIONSRead and solve each question. Then mark thespace on your answer document for the bestanswer.

SAMPLE

One hundred sixth-grade studentswere asked to name one favorite color.The table shows the results.

Favorite Colors

Color Number ofStudents

Blue 28

Red 21

Purple 11

Green 11

Black 29

What percent of the students namedblue?

A 28% �

B 29%C 50%D 57%

1 Jamal walked34

mile yesterday

morning and18

mile yesterday

afternoon. What was the total distance

walked by Jamal?

A 1 mile

B78

mile

C12

mile

D13

mile

2 Mrs. Dinato remembered the area ofthe top of her rectangular table wasbetween 1,500 and 2,000 square inches.Which could be the dimensions of hertable?

F 72 in. � 36 in.G 60 in. � 30 in.H 40 in. � 30 in.J 18 in. � 32 in.

Mathematics

52006 Commonwealth of Virginia Department of Education

3

takes 234

cups of milk. If Derrick makes

many cups of milk will he need?

A 834

cups

B 814

cups

C 634

cups

D 614

cups

4 0.084 � 0.6 �

F 7.14G 1.4H 0.714J 0.14

5 Price for Different Types of Reeds

ItemNumberof Reedsper Box

PriceperBox

Clarinet reeds 10 $5.13

Oboe reeds 1 $4.95

Alto saxophonereeds

5 $8.42

Based on this table, what is the cost tobuy 10 of each different type of reed?

A $18.50B $26.92C $71.47D $98.35


3 batches of his pancake recipe, how

One batch of Derrick's pancake recipe

6 Look at the table.

Cost of Signs at Two Stores

Store Neon Sign Wood Sign

A $589 $227

B $534 $285

What would be the least amount of

bought one of each type of sign?

F $512G $761H $816J $819

7 Maria has a piece of ribbon56

foot long.

She cuts34

foot off of the piece of

ribbon. What is the length of the

remaining piece of ribbon?

A112

foot

B18

foot

C16

foot

D14

foot


money Jeremy's dad could spend if he

8 Harry worked 134

hours on Friday and

312

hours on Saturday. What was the

total amount of time Harry worked on

those two days?

F 414

hours

G 458

hours

H 514

hours

J 512

hours

9 6.596 � 0.04 �

A 164.9B 16.49C 6.06D 0.61

10 Cody was paid $15.00 for washing his

movie, $1.50 on candy, and $2.00 for asoda, which is closest to the amount hewill have left?

F $10.00G $8.00H $5.00J $0

Do not turn thepage until your

teacher tells youto do so.


mother’s car. If he spends $5.75 on a

There are 30 red marbles and 150 bluemarbles in a box. What is the ratio ofblue marbles to red marbles?

A18030

B3080

C15030

D30150

What is the least common multiple of 6and 10?

F 20G 30H 60J 90

Which statement is true?

A �599 � �385B 4,119 � �3,513C �56,803 � �64,122D �85 � 89

Which group contains only primenumbers?

F 5, 13, 29, and 47G 7, 11, 27, and 43H 7, 19, 33, and 41J 11, 17, 37, and 39

9

11 12

13

14


What is the greatest common factor of30, 42, and 48?

A 2B 3C 6D 8

The picture shows the number of starsAngie received from her piano teacherfor practicing.

What is the ratio of the number ofstriped stars to black stars?

F 4 to 3G 3 to 4H 4 to 10J 6 to 10

Which statement is true?

A34

�7

12

B23

�67

C38

�611

D15

�14

Which represents the part of the10-by-10 grid that is shaded?

F12

G35

H710

J34

10

15

16

17

18


below.

Which is closest to the width of thewall?

A 6 window widthsB 4 window widthsC 2 door widthsD 4 door widths

What is the sum of the measuresof all the interior angles of anyquadrilateral?

F 90�

G 180�

H 360�

J 450�

Which two figures always have fourcongruent sides?

A Rhombus and squareB Rectangle and rhombusC Square and equilateral triangleD Parallelogram and rectangle

If the diameter of a circle is 7 inches,which is closest to the circumference?

F 21.98 in.G 38.47 in.H 43.96 in.J 153.86 in.

The glasses shown each hold 12 fluidounces when full. The shaded portionsshow how much water Robert drinkson average every morning.

Which is closest to the amount of waterRobert drinks on average everymorning?

A 3 fluid ouncesB 18 fluid ouncesC 22 fluid ouncesD 34 fluid ounces

widthof door

width of window

width of wall

11

19

20

21

22

23


A wall in Kelly's house is diagrammed

Six points are shown on the grid.

Which three points can be connectedin the order shown to form an acuteangle?

F Points M, N, and RG Points M, N, and PH Points N, R, and SJ Points N, P, and S

What is the area of the large rectangleshown if each small square is 4 incheswide and 4 inches long?

A 480 sq in.B 120 sq in.C 80 sq in.D 30 sq in.

Which solid could not have twoparallel faces?

F CubeG Rectangular prismH PyramidJ Cylinder

A between 0� and 45�

B between 45� and 90�

C between 90� and 180�

D greater than 180�

Which measurement represents thegreatest volume?

F 17 pintsG 2 gallonsH 35 cupsJ 9 quarts

�

�

�

�

�

�

4 in.

4 in.

12

24

25

26

27

28


The measure of the angle shown is —�

body at an angle congruent to theangle shown above?

Which shape is not a quadrilateral?

F SquareG ParallelogramH PentagonJ Trapezoid

A

B

C

D

13

3029


Which picture appears to show Steve's

Chrissy has 4 white towels, 2 yellowtowels, and 3 blue towels in a bag.What is the probability that the firsttowel chosen at random from the bagwill be white?

A14

B19

C45

D49

What is the range of the numberslisted?

76, 59, 91, 22, 43, 57, 89, 76, 31

F 43G 45H 60J 69

14

31 32


Which stem-and-leaf plot correctlydisplays this data?

15 32 21 13 36 10 23

30 15 11 27 42 33

A

Stem Leaf

1 0, 1, 3, 5, 5

2 1, 3, 7

3 0, 2, 3, 6

4 2

B

Stem Leaf

1 1, 3, 5, 5

2 1, 3, 7

3 2, 3, 6

4 2

C

Stem Leaf

1 0, 1, 3, 5

2 1, 3, 7

3 0, 2, 3, 6

4 2

D

Stem Leaf

1 1, 3, 5

2 1, 3, 7

3 2, 3, 6

4 2

76, 79, 75, 77, 74

For the data listed, the value 76.2

F medianG modeH rangeJ mean

new CD.

Pillar

Slim Slug

Burdock

Sweetbread

Tutu

Windmill Climber

If her CD player plays the songsrandomly, what is the probability thatthe song Mongoose Omelette will playfirst?

A �0.6B 0C 0.6D 1

15

33 34

35


These are six songs that are on Jane's

represents the —�

Look at the graph.

Which type of clothing appears to havehad 5 times the sales of dresses?

F ShortsG PantsH ShirtsJ Skirts

The number of pages Jane read in abook each day for one week are listedbelow.

{12, 18, 19, 11, 12, 15, 18}

Below is the box-and-whisker plot ofthis data. To which number is thearrow most likely pointing?

A 11B 12C 15D 18

Mr. Warren requires his students toread 2 books: 1 book from list #1 and1 book from list #2.

List #1 List #2

A Trip to Asia Mystery at Chelsea

Darlene’s Hope Notes From Kent

Sunset Hope A Clan of Many

What is the total number of differentcombinations for the 2 books?

F 9G 6H 2J 1

Merchandise Sold Last Month

01020304050607080

110

150140130120

10090

Dresses Pants Shorts SkirtsShirts

16

36 37

38


Based on the geometric pattern shown,what is the value of 85?

81 � 882 � 6483 � 51284 � 4,096

A 13B 40C 20,480D 32,768

Which represents the variable in thefollowing number sentence?

3 � v � 45

F 3G vH �

J 45

2.3 � 107 �

A 230,000,000B 23,000,000C 2,300,000D 230,000

Which method could be used to solvethe number sentence shown?

4x � 16

F Subtract 4 from 4x, and subtract 4 from16

G Subtract 4 from 4x, and subtract 16from 16

H Divide 4x by 4, and divide 16 by 16J Divide 4x by 4, and divide 16 by 4

17

39 40

41

42


What value of y makes the numbersentence shown true?

y � 3 � 15

A 5B 12C 18D 45

Use the representations above toanswer the question.

If the scale is balanced, which numbersentence does it best represent?

F 5w � 30G w � 5 � 30H 5 � w � 30J w � 5 � 30

The number 514 in scientific notation

A 5.14 � 101

B 5.14 � 102

C 51.4 � 101

D 514 � 102

Which is an equation?

F x � 6

G 5 > 7

H x

J x �12

� 9

represents w

represents 1

18

43

44

45

46


�

is written as —

Kale wrote the number pattern shown.

1, 2, 4, 7, 11, . . .

He noticed another pattern when hefound that the differences betweenthe numbers increased by 1 as shownbelow.

If the differences continue to increaseby 1, what will be the 7th term in

A 15B 19C 21D 22

Using the representations above,which model best represents thefollowing?

r � 2 � 18

�1 �2 �3 �4

117421

represents r

represents 1

F

G

H

J

19

47 48


Kale's original pattern?

The first four figures in a pattern areshown.

If the pattern continues to double thenumber of dots, what will be the totalnumber of dots in the 6th figure in thepattern?

A 128B 64C 32D 14

squares is shown below.

25, 36, , 64, 81, 100

What number does Gracie need tosquare to find the missing term?

F 5G 6H 7J 8

20

49 50


Gracie's pattern of increasing perfect


Test Sequence Number Correct Answer

Reporting Category Reporting Category Description

1 B 006 Computation and Estimation2 G 006 Computation and Estimation3 B 006 Computation and Estimation4 J 006 Computation and Estimation5 C 006 Computation and Estimation6 G 006 Computation and Estimation7 A 006 Computation and Estimation8 H 006 Computation and Estimation9 A 006 Computation and Estimation10 H 006 Computation and Estimation11 C 005 Number and Number Sense12 G 005 Number and Number Sense13 C 005 Number and Number Sense14 F 005 Number and Number Sense15 C 005 Number and Number Sense16 F 005 Number and Number Sense17 A 005 Number and Number Sense18 G 005 Number and Number Sense19 D 007 Measurement and Geometry20 H 007 Measurement and Geometry21 A 007 Measurement and Geometry22 F 007 Measurement and Geometry23 D 007 Measurement and Geometry24 G 007 Measurement and Geometry25 A 007 Measurement and Geometry26 H 007 Measurement and Geometry27 C 007 Measurement and Geometry28 J 007 Measurement and Geometry29 C 007 Measurement and Geometry30 H 007 Measurement and Geometry31 D 008 Probability and Statistics32 J 008 Probability and Statistics33 A 008 Probability and Statistics34 J 008 Probability and Statistics35 B 008 Probability and Statistics36 F 008 Probability and Statistics37 C 008 Probability and Statistics38 F 008 Probability and Statistics39 D 009 Patterns, Functions, and Algebra40 G 009 Patterns, Functions, and Algebra41 B 009 Patterns, Functions, and Algebra42 J 009 Patterns, Functions, and Algebra43 C 009 Patterns, Functions, and Algebra44 F 009 Patterns, Functions, and Algebra45 B 009 Patterns, Functions, and Algebra46 J 009 Patterns, Functions, and Algebra47 D 009 Patterns, Functions, and Algebra48 G 009 Patterns, Functions, and Algebra49 B 009 Patterns, Functions, and Algebra50 H 009 Patterns, Functions, and Algebra

Answer Key

If you get this many items

correct:

Then your converted scale

score is:0 0001 0222 0773 1114 1355 1556 1717 1868 1989 21010 22011 23112 24013 24914 25715 26516 27417 28118 28919 29520 30321 31022 31723 32324 33025 33726 34427 35028 35729 36430 37131 37832 38533 39234 40035 40836 41637 42438 43239 44240 45241 46242 47443 48644 50045 51646 53547 55948 59249 60050 600

Grade 6 Mathematics, Core 1

GRADE 6 MATHEMATICS - SolPass

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