Read CST 2008 Released Test Questions, Grade 5 Mathematics - Standardized Testing and Reporting Program (CA Dept of Education) text version

February 2009

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Introduction - Grade 5 Mathematics

The following released test questions are taken from the Grade 5 Mathematics Standards Test. This test is one of the California Standards Tests administered as part of the Standardized Testing and Reporting (STAR) Program under policies set by the State Board of Education. All questions on the California Standards Tests are evaluated by committees of content experts, including teachers and administrators, to ensure their appropriateness for measuring the California academic content standards in Grade 5 Mathematics. In addition to content, all items are reviewed and approved to ensure their adherence to the principles of fairness and to ensure no bias exists with respect to characteristics such as gender, ethnicity, and language. This document contains released test questions from the California Standards Test forms in 2003, 2004, 2005, 2006, 2007, and 2008. First on the pages that follow are lists of the standards assessed on the Grade 5 Mathematics Test. Next are released test questions. Following the questions is a table that gives the correct answer for each question, the content standard that each question is measuring, and the year each question last appeared on the test. The following table lists each strand/reporting cluster, the number of items that appear on the exam, and the number of released test questions that appear in this document. NUMBER OF QUESTIONS ON EXAM 12 17 17 15 4 65 NUMBER OF RELEASED TEST QUESTIONS 19 23 25 23 6 96

STRAND/REPORTING CLUSTER Number Sense ­ Estimation, Percents, and Factoring Number Sense ­ Operations with Fractions and Decimals Algebra and Functions Measurement and Geometry Statistics, Data Analysis, and Probability TOTAL

In selecting test questions for release, three criteria are used: (1) the questions adequately cover a selection of the academic content standards assessed on the Grade 5 Mathematics Test; (2) the questions demonstrate a range of difficulty; and (3) the questions present a variety of ways standards can be assessed. These released test questions do not reflect all of the ways the standards may be assessed. Released test questions will not appear on future tests. For more information about the California Standards Tests, visit the California Department of Education's Web site at http://www.cde.ca.gov/ta/tg/sr/resources.asp. -- 1 --

This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. Copyright © 2009 California Department of Education.

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THE NUMBER SENSE STRAND

In Grade 5, there are two reporting clusters within the Number Sense strand: 1) Estimation, Percents, and Factoring and 2) Operations with Fractions and Decimals. This booklet contains released test questions for each of these clusters. The following five California content standards are included in the Estimation, Percents, and Factoring reporting cluster of the Number Sense strand and are represented in this booklet by 19 test questions. These questions represent only some ways in which these standards may be assessed on the Grade 5 California Mathematics Standards Test. CALIFORNIA CONTENT STANDARDS IN THIS REPORTING CLUSTER

Number Sense Standard Set 1.0 Students compute with very large and very small numbers, positive integers, decimals, and fractions and understand the relationship between decimals, fractions, and percents. They understand the relative magnitudes of numbers: Estimate, round, and manipulate very large (e.g., millions) and very small (e.g., thousandths) numbers. Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Understand and compute positive integer powers of nonnegative integers; compute examples as repeated multiplication. Determine the prime factors of all numbers through 50 and write the numbers as the product of their prime factors by using exponents to show multiples of a factor (e.g., 24 = 2 × 2 × 2 × 3 = 23 × 3). Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers.

5NS1.1 5NS1.2*

5NS1.3 5NS1.4*

5NS1.5*

* Denotes key standards (Mathematics Framework for California Public Schools)

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The following five California content standards are included in the Operations with Fractions and Decimals reporting cluster of the Number Sense strand and are represented in this booklet by 23 test questions. These questions represent only some ways in which these standards may be assessed on the Grade 5 California Mathematics Standards Test. CALIFORNIA CONTENT STANDARDS IN THIS REPORTING CLUSTER

Number Sense Standard Set 2.0 Students perform calculations and solve problems involving addition, subtraction, and simple multiplication and division of fractions and decimals: Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results. Demonstrate proficiency with division, including division with positive decimals and long division with multidigit divisors. Solve simple problems, including ones arising in concrete situations, involving the addition and subtraction of fractions and mixed numbers (like and unlike denominators of 20 or less), and express answers in the simplest form. Understand the concept of multiplication and division of fractions. Compute and perform simple multiplication and division of fractions and apply these procedures to solving problems.

5NS2.1*

5NS2.2* 5NS2.3*

5NS2.4 5NS2.5

* Denotes key standards (Mathematics Framework for California Public Schools)

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THE ALGEBRA AND FUNCTIONS STRAND/REPORTING CLUSTER

The following five California content standards are included in the Algebra and Functions strand/reporting cluster and are represented in this booklet by 25 test questions. These questions represent only some ways in which these standards may be assessed on the Grade 5 California Mathematics Standards Test. CALIFORNIA CONTENT STANDARDS IN THIS STRAND/CLUSTER

Algebra and Functions Standard Set 1.0 Students use variables in simple expressions, compute the value of the expression for specific values of the variable, and plot and interpret the results: Use information taken from a graph or equation to answer questions about a problem situation. Use a letter to represent an unknown number; write and evaluate simple algebraic expressions in one variable by substitution. Know and use the distributive property in equations and expressions with variables. Identify and graph ordered pairs in the four quadrants of the coordinate plane. Solve problems involving linear functions with integer values; write the equation; and graph the resulting ordered pairs of integers on a grid.

5AF1.1 5AF1.2* 5AF1.3 5AF1.4* 5AF1.5*

* Denotes key standards (Mathematics Framework for California Public Schools)

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THE MEASUREMENT AND GEOMETRY STRAND/REPORTING CLUSTER

The following seven California content standards are included in the Measurement and Geometry strand/ reporting cluster and are represented in this booklet by 23 test questions. These questions represent only some ways in which these standards may be assessed on the Grade 5 California Mathematics Standards Test. CALIFORNIA CONTENT STANDARDS IN THIS STRAND/CLUSTER

Measurement and Geometry Standard Set 1.0 5MG1.1* Students understand and compute the volumes and areas of simple objects: Derive and use the formula for the area of a triangle and of a parallelogram by comparing it with the formula for the area of a rectangle (i.e., two of the same triangles make a parallelogram with twice the area; a parallelogram is compared with a rectangle of the same area by cutting and pasting a right triangle on the parallelogram). Construct a cube and rectangular box from two-dimensional patterns and use these patterns to compute the surface area for these objects. Understand the concept of volume and use the appropriate units in common measuring systems (i.e., cubic centimeter [cm3], cubic meter [m3], cubic inch [in3], cubic yard [yd3]) to compute the volume of rectangular solids. Differentiate between, and use appropriate units of measures for, two- and threedimensional objects (i.e., find perimeter, area, volume). Students identify, describe, and classify the properties of, and the relationships between, plane and solid geometric figures: Measure, identify, and draw angles, perpendicular and parallel lines, rectangles, and triangles by using appropriate tools (e.g., straightedge, ruler, compass, protractor, drawing software). Know that the sum of the angles of any triangle is 180° and the sum of the angles of any quadrilateral is 360° and use this information to solve problems. Visualize and draw two-dimensional views of three-dimensional objects made from rectangular solids.

5MG1.2* 5MG1.3*

5MG1.4 Standard Set 2.0 5MG2.1*

5MG2.2* 5MG2.3

* Denotes key standards (Mathematics Framework for California Public Schools)

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This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. Copyright © 2009 California Department of Education.

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THE STATISTICS, DATA ANALYSIS, AND PROBABILITY STRAND/REPORTING CLUSTER

The following five California content standards are included in the Statistics, Data Analysis, and Probability strand/reporting cluster and are represented in this booklet by six test questions. These questions represent only some ways in which these standards may be assessed on the Grade 5 California Mathematics Standards Test. CALIFORNIA CONTENT STANDARDS IN THIS STRAND/CLUSTER

Statistics, Data Analysis, and Probability Standard Set 1.0 5PS1.1 5PS1.2 Students display, analyze, compare, and interpret different data sets, including data sets of different sizes: Know the concepts of mean, median, and mode; compute and compare simple examples to show that they may differ. Organize and display single-variable data in appropriate graphs and representations (e.g., histogram, circle graphs) and explain which types of graphs are appropriate for various data sets. Use fractions and percentages to compare data sets of different sizes. Identify ordered pairs of data from a graph and interpret the meaning of the data in terms of the situation depicted by the graph. Know how to write ordered pairs correctly; for example, (x, y).

5PS1.3 5PS1.4* 5PS1.5*

* Denotes key standards (Mathematics Framework for California Public Schools)

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This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. Copyright © 2009 California Department of Education.

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1

What is 6050.287 rounded to the nearest ten? A B C D 6050 6100 6050.29 6050.3

CSM01224

Math

5

5

What is the decimal 0.7 written as a fraction? A B C 1 7 3 4 3 7 7 10

CSM01687

2

The total land area for the United States is 3,537,438 square miles. What is this value rounded to the nearest thousand square miles? A B C D 3,500,000 3,537,000 3,538,000 3,540,000

CSM20973

D

6

A company donated 200 books to a local library. If 70 of them are fiction, what percent of the donated books are fiction? A B C D 35% 40% 60% 65%

CSM20545

3

What is 40% of 250? A B C D 50 100 150 200

CSM01275

7

In a parking lot, 1 out of every 8 cars is blue. What percent of the cars in this lot are blue? A 1.25% 7% 9% 12.5%

CSM10520

4

What is A B C D

3 written as a percent? 8

B C D

26.7% 30% 37.5% 50%

CSM10512

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B C D

Math

12

Released Test Questions

What is the prime factorization of 12? A B C D

CSM20271

What decimal is equal to 3 ? 5 A 0.30 0.35 0.60 1.67

22 × 3 22 × 32 4×3 1× 2

CSM11022

9

What is 50% of 40? A B C D 2000 200 20 2

CSM02004

13

What is the prime factorization of 36? A B C D 22 ×32 22 ×33 4×32 4×9

CSM11027

10

A B C D 5× 5× 5 5+5+5 3× 3× 3× 3× 3 3+3+3+3+3

53 =

14

Which of the following shows the number 60 factored into prime numbers? A B C D 2 × 30 3× 20 2 × 3×10 2 × 2 ×3×5

CSM01726

CSM00219

11

What is the prime factorization of 45? A B C D 23 × 5 32 × 5 52 × 3 52 × 9

CSM01258

15

Which expression shows the prime factorization of 48? A B C D 6 ×8 2 × 4 ×6 2 × 2 × 2 ×6 2 × 2 × 2 × 2 ×3

CSM11158

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16

What are all of the different prime factors of 36? A B C D 3 7 2 and 3 3 and 7

CSM20991

Math

18

Which point on the number line best represents 1.35?

5

4

3

2

1

0

1

2

3

4

A

17

P Q R -5 S 0

4

3

2

1

0

1

2

3

4

B

Which letter on the number line best identifies the location of - 6? A B C D P Q R S

CSM02265

4

3

2

1

0

1

2

3

4

C

4

3

2

1

0

1

2

3

4

D

CSM11065

19

Which number line appears to show the dot 1 placed at ? 5 A

0 1 2 3 4 5

B

0 1 2 3 4 5

C

0 1 2 3 4 5

D

0 1 2 3 4 5

CSM20882

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20

A B C D

Math

11.3×2.7 = 29.31 29.51 30.31 30.51

CSM02247

Released Test Questions

24

A B C D 9.708 9.718 11.608 11.718

CSM11156

39.06 × 0.3

21

Javier bought 9 pounds of ground beef. He saved $8.37 by using a store coupon. How much did he save per pound of ground beef? A B C D $0.89 $0.93 $1.08 $75.33

CSM11157

25

Robert wants to buy 3 notebooks that cost $1.25 each. How much do the notebooks cost all together, without tax? A B C D $1.28 $2.40 $3.75 $4.25

CSM20831

22

Veronica can type 28 words per minute. At this rate, how many words can Veronica type in 5.5 minutes? A B C D 154 157 159 162

CSM10756

26

Maria has $7.50 to buy lunch. If she buys a turkey sandwich that costs $2.75, how much money will she have left? A B C D $4.75 $5.25 $5.75 $10.25

CSM20834

23

Tony had a rope 8.35 meters long. He cut off 2.6 meters. How long was the piece of rope that was left? A B C D 5.65 meters 5.75 meters 6.65 meters 6.75 meters

CSM00221

27

A B C D 23.76 24.86 237.6 248.6

7.2 × 3.3

CSM02007

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A B C D 0.513 0.63 5.13 6.3

CSM02031

Math

32

5

15.12 ÷ 2.4 =

Maurice talked on the telephone to two friends. 1 He talked to Sherry for hour, and to Gabriel 4 1 for hour. How much time did Maurice spend 3 on the telephone? A B C D 1 hour 6 2 hour 7 5 hour 12 7 hour 12

CSM02011

29

A B C D 89 843 925 965

35, 705 ÷ 37 =

CSM01263

30

At a school, there are 704 desks to place into 22 classrooms. If the same number of desks is placed in each classroom, how many desks will be in each room? A B C D 32 34 42 44

CSM21094

33

A B C D 6 1 6 1 5 2 5 5 6

1 1 2 +4 = 3 2

6

6

31

What is the answer to this division problem? 12 246 A B C D 2.05 2.5 20.5 25

CSM02020

6

)

CSM11147

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Math

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Released Test Questions

Hector can throw a ball 50 throw the same ball 48 3 feet. Lee can 5

1 hour to walk to the 6 1 playground and hour to walk from the 3 It takes Suzanne playground to school. How much time does it take Suzanne to walk to the playground and then to school? A B C D 2 hour 9 1 hour 3 1 hour 2 2 hour 3

CSM20960

1 feet. How much 3

farther can Hector throw the ball than Lee? A B C D 2 2 feet 15 4 feet 15

2

3 2 feet 5 4 2 feet 5

CSM20953

37

3 1 hours reading and hour 4 3 doing chores. How many total hours did Yoshi Yoshi spent 1 spend on these activities? A B C D 1 1 3 4 7 1 12 1 6

CSM20954

35

A B C D 1 1 4 3 4 1 4 3 4

3 1 4 -2 = 4 2

1

1

2

2

2

2

CSM02013

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38

A B C D 9 20 4 5 1 1 4 2 9

CSM00753

Math

41

A B C D 1 11 2 11 1 30 2 30 1 1 i = 5 6

5

3 3 ÷ = 4 5

2

CSM01729

39

A B C D 9 1 4

3 12 ÷ = 4

42

John runs

8 mile every day. How many miles 10 does he run in 30 days? A B C D 18 24 30 38

CSM30506

9

3 12 4 16

CSM11154

43

c+ 2

1 2

40

What is the denominator when by A B C D 7 ? 8 35 40 42 48

5 is multiplied 6

Which situation could be described by the expression above? 1 A Lia jogged c miles yesterday, and 2 miles 2 farther today. 1 B Lia jogged c miles yesterday, and 2 miles 2 fewer today. 1 C Lia jogged 2 miles yesterday, and c miles 2 fewer today. 1 D Lia jogged 2 miles yesterday, and c times 2 as far today.

CSM00715

CSM20964

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44

Math

46

Released Test Questions

If k = 6, what is the value of 7 k - 2 ? A B C D 30 40 54 65

CSM11096

The table below shows the average number of lunches bought in a cafeteria each day over a period of years. Cafeteria Lunches Bought

180 160 140 120 100 80 60 40 20 0 1997 1998 1999 2000 2001 2002

Lunches Bought

47

If n = 31, what is the value of 6 - n ? A B C D

- 37 - 25

25 37

CSM00225

Year The greatest decrease in the number of lunches bought occurred between which two years? A B C D from 1998 to 1999 from 1999 to 2000 from 2000 to 2001 from 2001 to 2002

CSM21192

48

Which expression represents the product of n and 25? A B C D 25n 25- n 25 + n 25 ÷ n

CSM21225

45

If N = 4, what is the value of 6 × N - 3 ? A B C D 6 9 18 21

CSM02010

49

If z = 3, what is 5 ×(6 - z )? A B C D 10 15 27 53

CSM11106

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50

Sophie caught twice as many fish as her dad. If her dad caught F fish, how many fish did Sophie catch? A B C D F +2 F -2 F ×2 F ÷2

CSM01719

Math

53

5

Bill played a game and scored 5 times. If each time Bill scored he earned p points, which expression represents the total number of points that Bill scored? A B C D p+5 p-5 p×5 p÷5

CSM20974

51

Ahn has 64 crayons. This number is 18 more crayons than Bill has. Which equation should be used to find b, the number of crayons Bill has? A B C D b = 64 - 18 b= 64 18

54

What value for z makes this equation true? 8×37 = ( 8×30) + ( 8 × z) A B C D 7 8 30 37

CSM02040

b = 64 + 18 b = 64 ×18

CSM11113

55

What value for w makes this equation true? 5 ×w = ( 5 ×20) + ( 5 ×3) A B C D 3 20 23 203

CSM00743

52

If s = 4, what is the value of s( 9 - 4) ? A B C D 16 20 32 45

CSM11109

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Math

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Released Test Questions

The map below shows the location of 4 different stores.

y

9 8 7 6 5 4 3 2 1 1

What value of p makes this equation true? 44×73 = 44×( p + 3) A B C D 41 47 70 73

CSM40019

Shoe Store

Toy Store

2 3 4 5 6 7 8 9

57

The map below shows the starting positions of two scientists studying plants in a rain forest.

Scientists in Rain Forest N

5 4 3 2 1 Hallie

-9 -8 -7 -6 -5 -4 -3 -2 -1 0 -1 -2 -3 Grocery Store -4 -5 -6 -7 -8 -9

x

Hardware Store

Which store is at the point ( 3, -1)? A B C

1 2 3 4 5

Hardware Store Grocery Store Shoe Store Toy Store

CSM11115

W

-5

-4 -3

-2

-1 0 -1 -2 -3 -4 -5

E

D

Joe

S

Which ordered pair best names Joe's location? A B C D (3, - 4) ( - 3, 4) (4, - 3) ( - 4, 3)

CSM02036

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59

The map below shows the locations of rides at an amusement park. Maria was at the point ( -1, -4) .

Math

60

What is the ordered pair for point B?

5

y

9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9

Amusement Park Rides

N (north)

6 5 4 3 2 1

B

Ferris Wheel

Water Slide

Log Ride

(west) W

-6 -5 -4 -3 -2 -11 Little -2 Dipper -3 -4 Sky Train -5 -6

1 2 3 4 5 6

E(east)

Giant Coaster

-9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9

x

S (south)

She walked 2 units west and 2 units north. Which ride did she walk to? A B C D Giant Coaster Little Dipper Sky Train Ferris Wheel

CSM02025

A B C D

( - 4, 2) ( - 2, 4) (2, - 4)

(2, 4)

CSM10393

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Math

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Released Test Questions

Which point represents ( 3, -6 ) ?

y

This coordinate grid shows the location of 4 tents around a campfire.

y

7 6 5 4

Tent P

Q

Tent Q

3 2 1

9 8 7 6 5 4 3 2 1 1

R

Campfire

1 2 3 4 5 6 7

-7 -6 -5 -4 -3 -2 -1 0 -1 -2 -3

x

Tent S

Tent R

-4 -5 -6 -7

-9 -8 -7 -6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5 P -6 -7 -8 -9

2 3 4 5 6 7 8 9

x

S

Which tent is located at point ( A B C D Tent P Tent Q Tent R Tent S

- 4,

3) ?

A B C D

point P point Q point R point S

CSM11117

CSM20534

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63

Which equation could have been used to create this function table? x ­9 ­2 4 11 y ­5 2 8 15 m

Math

64

5

Line m is represented by the equation y = 4.

y

9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9

A B C D

y=

x 2

y = 2x y = x-4

-9 -8 -7 -6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9

x

Which ordered pair is located on line m? y= x+4

CSM01204

A B C D

(1, 4) (0, 0) (4, 1) (4, 0)

CSM10934

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A

Math

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Released Test Questions

Joaquin charges $4.00 per hour to baby-sit. What equation could Joaquin use to find the number of hours (h) he needs to baby-sit in order to earn $50.00? A B C D 4 h = 50 h = 50 4 h - 4 = 50 4 + h = 50

CSM21381

Which table represents values of x and y such that y = x + 5 ?

x y -1 4 0 5

B

x y -1 -6 0 -5

C

x

y

68

In the figure below, WXYZ is a parallelogram.

2 5 5 0 D

W

Z

x

y

2 3 3 0

CSM11121

X

Y

If the area of triangle WXY is 22 square inches, what is the area of WXYZ? A B C D 11 square inches 22 square inches 33 square inches 44 square inches

CSM01750

66

Which equation shows the relationship of all the values in the table below? x 2 1 0 1 2 A B C D y = 3x x= y+3 y= x +3 x = 3y

CSM11120

y 6 3 0 3 6

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69

In this parallelogram, triangle A has an area of 37 square feet.

Math

71

What is the area, in square meters, of the parallelogram below?

9m

5

A 7m

What is the area, in square feet, of the parallelogram? A B C D 18.5 37 55.5 74

CSM10326

A B C D

31.5 54 63 70.6

CSM10329

70

The trapezoid below can be divided into 3 identical triangles.

72

Triangles A and B are congruent.

A B B

A

If the area of the rectangle is 7 square units, what is the area, in square units, of the parallelogram? If the area of the shaded parallelogram is 16 cm 2 , what is the area of the trapezoid? A B C D 8 cm 2 24 cm 2 32 cm 2 48 cm 2

CSM20550

A B C D

3.5 7 14 18.5

CSM30245

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This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. Copyright © 2009 California Department of Education.

G R A D E

CA L I F O R N I A S TA N DA R D S T E S T

5

73

Math

75

Released Test Questions

What is the volume, in cubic inches, of the school locker below?

What is the surface area of the box formed by the pattern below? 4 cm 1 cm 2 cm 2 cm 1 cm 2 cm

2 cm 1 cm

92

30 in.

6 17 18 1 9

21 2 2 0 1 20

24

56789

1 15

1

4 cm A B C D 28 cm2 24 cm2 14 cm2 8 cm2

CSM10941

12 in.

A B C D 14 in. 8 in. 3 in.

2880 2580 390 360

CSM10332

74

76

What is the volume of a cube that measures 10 inches on each edge? A B C D 10 cubic inches 100 cubic inches 1000 cubic inches 10,000 cubic inches

CSM00232

This rectangular prism has a length of 14 inches, a height of 8 inches, and a width of 3 inches. What is the volume? A B C D 25 cu in. 42 cu in. 112 cu in. 336 cu in.

CSM02273

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This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. Copyright © 2009 California Department of Education.

01

1 12 13 14

8 in.

CA L I F O R N I A S TA N DA R D S T E S T

G R A D E

Released Test Questions

77

What is the volume, in cubic yards, of the storage unit below?

Math

80

5

Which is closest to the measure of the angle shown below?

100o 110o 120

o o

90o

o

80o

o

70o 60o 110o 120o 130o 140o 150o 160o 170o 180o 10o 0o 40o 30o 20o 50o

3 yd

140 150o 160

o o

80 70o 60o

90

100

130

o

50o 40o 30o

20o 10o 0o

3.5 yd 4.5 yd

170o 180o

A B C D

11 24 40.5 47.25

CSM10341

A B C D

70° 80° 100° 110°

CSM01234

78

A store has a rectangular parking lot that is 100 feet by 120 feet. What is the perimeter of the parking lot? A B C D 220 feet 440 feet 1200 square feet 12,000 square feet

CSM21284

81

Which of the following best describes the figure below?

79

The area of a backyard would most likely be measured in A B C D square inches. cubic inches. cubic feet. square feet.

CSM11123 CSM21238

A B C D

acute angles obtuse angles parallel lines perpendicular lines

-- 23 --

This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. Copyright © 2009 California Department of Education.

G R A D E

CA L I F O R N I A S TA N DA R D S T E S T

5

82

Math

84

Released Test Questions

What is the approximate measure of this angle in degrees?

z 109°

67° 82°

A B C D 20° 45° 110° 135°

CSM21197

What is the measure of angle z in the figure above? A B C D 12° 102° 122° 180°

CSM01264

83

Use your ruler to answer the question below.

85

M

What is the perimeter of the rectangle in centimeters? A B C D 3 5 8 16

CSM10554

L

N

Triangle LMN is a right triangle, and angles L and N are equal. What is the measure of angle L? A B C D 25° 45° 70° 90°

CSM10346

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This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. Copyright © 2009 California Department of Education.

CA L I F O R N I A S TA N DA R D S T E S T

G R A D E

Released Test Questions

86

Nina made a triangle by cutting the corner off a sheet of paper.

Math

87

Andrew constructed a triangle so that 1 and 2 were the same size and 3 measured 80°. 3 80o

5

45o 1 ? What is the measure of 1? A B One angle is 45°. What is the measure of the third angle of Nina's triangle? A B C D 30° 45° 55° 60°

CSM21243

2

50° 60° 80° 100°

CSM21239

C D

88

What is the measure of angle R? R

Q A B C D

92o

59o

S

17° 29° 31° 39°

CSM10344

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This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. Copyright © 2009 California Department of Education.

G R A D E

CA L I F O R N I A S TA N DA R D S T E S T

5

89

Math

91

Released Test Questions

Sharice scored the following numbers of points in 5 dart games. 88, 96, 112, 135, 144 What is the median of these numbers? A B

CSM11130

The measures of three interior angles in a quadrilateral are 35°, 50°, and 125°. What is the degree measure of the fourth interior angle? A B C D 60° 90° 120° 150°

56 88 112 115

CSN00266

C D

90

The figure below is made of 3 small cubes.

Top Side Front

Which best shows the side view of the figure?

A

C

B

D

CSM02033

-- 26 --

This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. Copyright © 2009 California Department of Education.

CA L I F O R N I A S TA N DA R D S T E S T

G R A D E

Released Test Questions

92

Math

5

Students were asked how they traveled to school each day. The table below shows these results. Travel to School Type of Travel Bus Car Walk Bike Which graphic correctly displays these data? A Percentage 50% 30% 15% 5%

Travel Type

C

Travel Type

Car Bus Walk

Bus

Car

Bike Bike

Walk

B

Travel Type

D

Travel Type

Walk Car Bus

Car

Bike

Walk

Bus

Bike

CSM30131

-- 27 --

This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. Copyright © 2009 California Department of Education.

G R A D E

CA L I F O R N I A S TA N DA R D S T E S T

5

93

Math

Released Test Questions

A group of people went fishing for four days. Together, they caught 20 pounds of fish each day. Day 1 Fish Tuna Snapper Flounder Mackerel Part of Total Pounds 5 20 3 20 8 20 4 20 Fish Tuna Snapper Flounder Mackerel Day 3 Part of Total Pounds 6 20 6 20 5 20 3 20

Day 2 Fish Tuna Snapper Flounder Mackerel Part of Total Pounds 10 20 1 20 4 20 5 20 Fish Tuna Snapper Flounder Mackerel

Day 4 Part of Total Pounds 4 20 5 20 3 20 8 20

On which day was tuna 50% of the total catch? A B C D Day 1 Day 2 Day 3 Day 4

CSM10918

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This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. Copyright © 2009 California Department of Education.

CA L I F O R N I A S TA N DA R D S T E S T

G R A D E

Released Test Questions

94

Regina's piano teacher kept this record of Regina's progress on a song she is memorizing.

Math

95

5

The graph shows the high temperature on 5 days in July.

Piano Practice

100 90 80 70 60 50 40 30 20 10 0 1 2 3 4 5 6 7 8 9 10 11 12

Number of Days Practiced

How many days of practice did it take for Regina to memorize half of the song? A B C D 4 5 6 8

CSN00180

100° 99° 98° 97° 96° 95° 94° 93° 92° 91° 90° 89° 88° 87° 86° 85° 84° 83° 82° 81° 80° July 5

July Temperatures

Percent Memorized

High Temperatures (°F)

July 6

July 7

July 8

July 9

Date What was the high temperature on July 7? A B C D 86°F 87°F 88°F 89°F

CSN00306

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This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. Copyright © 2009 California Department of Education.

G R A D E

CA L I F O R N I A S TA N DA R D S T E S T

5

96

Math

Released Test Questions

Which point represents (5, 2) on this graph?

y

7 6 5 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5 -6 -7 1 2 3 4 5 6 7

K L

x

M N

A B C D

point K point L point M point N

CSM21199

-- 30 --

This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. Copyright © 2009 California Department of Education.

CA L I F O R N I A S TA N DA R D S T E S T

G R A D E

Released Test Questions

Question Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 Correct Answer A B B C D A D C C A B A A D D C A C A D B A B D C A A D D A C D D C C Standard 5NS1.1 5NS1.1 5NS1.2 5NS1.2 5NS1.2 5NS1.2 5NS1.2 5NS1.2 5NS1.2 5NS1.3 5NS1.4 5NS1.4 5NS1.4 5NS1.4 5NS1.4 5NS1.4 5NS1.5 5NS1.5 5NS1.5 5NS2.1 5NS2.1 5NS2.1 5NS2.1 5NS2.1 5NS2.1 5NS2.1 5NS2.1 5NS2.2 5NS2.2 5NS2.2 5NS2.2 5NS2.3 5NS2.3 5NS2.3 5NS2.3

Math

Year of Release 2004 2005 2003 2004 2005 2005 2006 2007 2008 2003 2003 2004 2006 2007 2008 2008 2003 2004 2007 2003 2004 2005 2005 2005 2007 2007 2008 2003 2004 2006 2007 2003 2004 2005 2005

5

-- 31 --

This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. Copyright © 2009 California Department of Education.

G R A D E

CA L I F O R N I A S TA N DA R D S T E S T

5

Math

Question Number 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 Correct Answer B C C D D C B A C D B B A B C A B C A C C C A B B B D D A A A A D D B Standard 5NS2.3 5NS2.3 5NS2.4 5NS2.4 5NS2.4 5NS2.5 5NS2.5 5AF1.1 5AF1.1 5AF1.2 5AF1.2 5AF1.2 5AF1.2 5AF1.2 5AF1.2 5AF1.2 5AF1.2 5AF1.2 5AF1.3 5AF1.3 5AF1.3 5AF1.4 5AF1.4 5AF1.4 5AF1.4 5AF1.4 5AF1.4 5AF1.5 5AF1.5 5AF1.5 5AF1.5 5AF1.5 5MG1.1 5MG1.1 5MG1.1

Released Test Questions

Year of Release 2006 2008 2003 2007 2008 2004 2008 2004 2007 2003 2004 2005 2005 2006 2006 2007 2008 2008 2003 2007 2008 2003 2004 2006 2006 2008 2007 2003 2004 2005 2005 2006 2003 2006 2007

-- 32 --

This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. Copyright © 2009 California Department of Education.

CA L I F O R N I A S TA N DA R D S T E S T

G R A D E

Released Test Questions

Question Number 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 Correct Answer C B A D A C D B D D D B D B B B A B D A C D B B B B Standard 5MG1.1 5MG1.1 5MG1.2 5MG1.3 5MG1.3 5MG1.3 5MG1.3 5MG1.4 5MG1.4 5MG2.1 5MG2.1 5MG2.1 5MG2.1 5MG2.2 5MG2.2 5MG2.2 5MG2.2 5MG2.2 5MG2.2 5MG2.3 5PS1.1 5PS1.2 5PS1.3 5PS1.4 5PS1.4 5PS1.5

Math

Year of Release 2007 2008 2004 2003 2006 2006 2008 2006 2007 2004 2005 2005 2008 2003 2004 2005 2006 2007 2008 2006 2004 2006 2007 2003 2008 2005

5

-- 33 --

This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. Copyright © 2009 California Department of Education.

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