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Mathematics TestBook 1

4Grade

March 2–6, 2009 21310

Developed and published under contract with the New York State Education Department by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies, Inc., 20 Ryan Ranch Road, Monterey, California 93940-5703. Copyright © 2009 by the New York State Education Department. Permission is hereby granted for school administrators and educators to reproduce these materials, located online at http://www.emsc.nysed.gov/osa, in the quantities necessary for their school’s use, but not for sale, provided copyright notices are retained as they appear in these publications. This permission does not apply to distribution of these materials, electronically or by other means, other than for school use.

Page 1 SECURE MATERIAL

Do not reproduce. Do not discuss contents until end of designated makeup schedule. Book 1

Book 1

TIPS FOR TAKING THE TEST

Here are some suggestions to help you do your best:

• Be sure to read carefully all the directions in the test book.

• Read each question carefully and think about the answer before choosing your response.

This picture means that you will use your ruler.

SECURE MATERIAL Do not reproduce. Do not discuss contents until end of designated makeup schedule.Page 2 Book 1

Sample B

Sample A

A 311

B 241

C 231

D 232

What number will be served next?

227

14

389

A

381

B

479

C

380

D



STOP

Sample C

Use your ruler to help you solve this problem.

How many inches long is the toothbrush shown below?

?

A 4 12

B 5

C 5 12

D 6



Go On

1 Four students at a fair bought the game tickets shown below.

Number

8,597

Number

7,896

Number

8,759

Number

7,658

Which list shows the numbers on the tickets in order from the greatest to the least?

A 8,597 8,759 7,896 7,658

B 7,658 7,896 8,759 8,597

C 8,759 8,597 7,896 7,658

D 7,896 8,759 7,658 8,597

2 6 7

A 35

B 42

C 48

D 49


3 What number is equal to 12 thousands 4 tens 7 ones?

A 1,247

B 2,047

C 12,047

D 12,407

4 Abigail drew the figure below.

1 unit1 unit4 units

5 units 5 units

[not drawn to scale]

What is the perimeter, in units, of the figure?

A 5

B 6

C 10

D 16



Go On

5 Jonathan is earning points by selling magazines. He earned 2,325 points in April and 3,746 points in May. What is the total number of points Jonathan earned in April and May?

A 5,061

B 5,071

C 6,061

D 6,071

6 How many line segments does the shape shown below have?

A 2

B 3

C 4

D 5


7 Which number belongs on the line below to make the number sentence correct?

4 ? 2 7

A 3

B 5

C 7

D 9

8 Which expression is equal to (34 5) 2 ?

A 2 (5 34)

B (2 5) 34

C 34 (5 2)

D 34 (5 2)

9 At a school concert, the student singers stand in 4 rows. There are 16 students in each row. What is the total number of students in the 4 rows?

A 20

B 44

C 54

D 64



Go On

10 Mr. Rosner buys 48 golf balls. The golf balls are in packages of 6. How many packages does Mr. Rosner buy?

A 6

B 7

C 8

D 9

11 Use your ruler to help you solve this problem.

The stamp shown below is from Ana’s stamp collection.

?

What is the width, in inches, of the bottom of the stamp?

A 1

B 11 4

C 11 2

D 134


12 Rachel writes a number on the board. The number has the digit 4 in the hundreds place and the digit 2 in the ones place. Which number could Rachel have written?

A 4,267

B 4,672

C 7,426

D 7,462

13 Jacob takes 15 boxes of books to the school library. Each box contains 10 books. What is the total number of books Jacob takes to the library?

A 25

B 150

C 1,500

D 1,510

14 Jon, Vincent, and Alana each have a stamp collection. Jon has 197 stamps, Vincent has 32 stamps, and Alana has 98 stamps. What is the best estimation of the total number of stamps the three people have collected?

A 310

B 320

C 330

D 400



Go On

15 Lee’s new band is selling CDs. The number of CDs sold during four months is shown in the bar graph below.

20

18

16

14

12

10

8

6

4

2

0

Month

BAND CD SALES

Nu

mb

er o

f C

Ds

December

October

November

January

The number of CDs sold each month increased at the same rate through February. How many CDs did the band sell in February?

A 16

B 17

C 18

D 19


16 One pair of shapes shown below is congruent. Which pair of shapes is congruent?

A

B

C

D

17 Sydney writes the number sentence below.

24 4 6

Which number sentence could Sydney use to check her work?

A 6 4 ?

B 4 6 ?

C 6 24 ?

D 24 4 ?



Go On

18 The science fair at Mike’s school is on April 12.

SUN MON TUE WED THU FRI SAT

APRIL

6

13

20

27

7

14

21

28

1

8

15

22

29

2

9

16

23

30

3

10

17

24

4

11

18

25

5

12

19

26

ScienceFair

The spring festival at his school is 2 weeks and 3 days after the science fair. On what date is the spring festival?

A April 15

B April 18

C April 26

D April 29


19 Joey makes the Input-Output table shown below.

Input Output

JOEY’S INPUT-OUTPUT TABLE

3

5

15

20

18

20

30

35

What rule could be used to find each Output number?

A Add 2 to the Input number.

B Add 15 to the Input number.

C Multiply the Input number by 4.

D Multiply the Input number by 6.

20 Which fraction is equivalent to 26 ?

A 1 2

B 13

C 1 4

D 15



Go On

21 The two statements below describe the number of apples, bananas, and oranges in a bowl.

• the number of apples the number of oranges• the number of bananas the number of oranges

Which could be the number of apples, bananas, and oranges in the bowl?

A 4 apples, 2 bananas, 2 oranges

B 4 apples, 4 bananas, 2 oranges

C 2 apples, 4 bananas, 4 oranges

D 4 apples, 2 bananas, 4 oranges

22 What is the name of the shape below?

A octagon

B hexagon

C pentagon

D quadrilateral


23 The pictograph below shows the total number of library books Ms. Campbell’s class read during a four-week period.

Week Number of Books Read

LIBRARY BOOKS

1

2

3

4

= 2 Books

KEY

If the pattern in the pictograph continues for two more weeks, how many books will have been read by the end of Week 6 ?

A 11

B 16

C 18

D 22



Go On

24 Steve writes the number pattern below.

13 , 19 , 25 , ? , 37 , 43

What is the missing number in Steve’s pattern?

A 27

B 29

C 31

D 33

25 Ms. Snyder wants to buy 5 pencils for each of her 28 students. She estimates she must buy 150 pencils. Which statement best explains whether Ms. Snyder’s estimate is reasonable?

A It is reasonable because 5 30 150.

B It is reasonable because 5 25 125.

C It is not reasonable because 5 28 140.

D It is not reasonable because 5 20 100.

26 At the beginning of the day, there were 813 hot dogs at the county fair. During the day, 597 hot dogs were sold. What expression can be used to estimate the number of hot dogs left at the end of the day?

A 800 500

B 800 600

C 900 500

D 900 600


27 Every month Mr. Jenkins buys 2 magazines. Each magazine costs 3 dollars. Which expression could be used to find the total cost of the 2 magazines for 12 months?

A 2 12

B 3 12

C 2 3 12

D 2 3 12

28 Mr. Starr began working in his garden at 8:00 A.M. He finished working at 11:30 A.M. How long did Mr. Starr work in his garden?

A 2 hours 30 minutes

B 3 hours

C 3 hours 30 minutes

D 4 hours



STOP

29 There were 34 people riding in 5 cars on a roller coaster ride. If there were 8 people riding in each of the first 4 cars, how many people were riding in the last car?

A 1

B 2

C 3

D 4

30 Which unit of measure is best for measuring the amount of water in a bathtub?

A liter

B gram

C meter

D milliliter

Grade 4Mathematics TestBook 1March 2–6, 2009


4Grade

March 2–6, 2009

21311

Name __________________________________





Book 2




• Read each question carefully and think about the answer before writing your response.

• Be sure to show your work when asked. You may receive partial credit if you have shown your work.



Go On

31 Tony cuts a tree into 45 logs. He places the logs in stacks of 6 logs, as shown below.

Tony makes as many complete stacks as possible. How many logs does he have left?

Show your work.

Answer logs


32 Mr. Morris needs to buy 700 nails to build a deck. The store sells the nails in boxes of 100 nails, as shown below.

100Nails

How many boxes of nails does Mr. Morris need to buy?

Answer boxes

On Monday, Mr. Morris used exactly 3 of the boxes of nails. How many nails did Mr. Morris use on Monday?

Answer nails



Go On

33 There are 72 students sitting at 6 tables in a cafeteria. If the same number of students are seated at each table, how many students are at each table?

Show your work.

Answer students

34 Last year, Joshua practiced karate for 112 hours. Brianna practiced karate for 12 hours fewer than Joshua.

On the line below, complete the number sentence that could be used to find the number of hours Brianna practiced karate.

Number Sentence ?

What number does the ? in your number sentence represent?

Answer ?


35 Dan, Jared, and Kiana played video games and recorded the number of points they earned. Dan earned 795 points and Jared earned 1,253 points. The total number of points earned by the three people was 2,830. How many points did Kiana earn?

Show your work.

Answer points



Go On

36 Linda drew the shapes shown below.

Part A

Draw a large X on the shapes above that are quadrilaterals.

Part B

Next, Linda drew a pentagon. How many sides does a pentagon have?

Answer sides

37 Brett spends $3.89 on cheese and $2.96 on apples at the grocery store. He gives the cashier $20.00. How much money does Brett receive in change?

Show your work.

Answer $


38 The students on Kimani’s track team are training for a race. The table below shows the total number of miles they ran during certain weeks.

Week

TRACK TEAM MILES

2

4

6

8

10

Total number of milesthe team ran

24

36

48

60

?



Go On

If the pattern in the table continues for two more weeks, how many miles will the team run during Week 10 ?

Answer miles

During what week did the team run exactly 54 miles?

Answer Week

On the lines below, explain how you found your answer.


STOP

39 Ms. Marshall started making dolls. The table below shows the total number of dolls she had made by the end of each of the first four weeks.

Week

MS. MARSHALL’S DOLLS

1

2

3

4

Total Numberof Dolls

3

6

9

12

If the pattern in the table continues, how many dolls will Ms. Marshall have made by the end of Week 6 ?

Answer dolls

On the line below, write the rule that can be used to find the total number of dolls Ms. Marshall made by the end of any number of weeks.

Rule

Ms. Marshall wants to make a total of 30 dolls. If the pattern in the table continues, by the end of which week will she have made 30 dolls?

Answer Week


Place Student Label Here


4Grade

March 2–6, 2009

21312

Name __________________________________





Book 3








Go On

40 Last year, 4,390 people stayed at the Sea View Hotel and 2,054 people stayed at the Hilltop Hotel. How many more people stayed at the Sea View Hotel than at the Hilltop Hotel?

Show your work.

Answer people


41 Earl buys a pen at the store. He gives the clerk a $5 bill and receives the coins shown below as change.

RS

LIBER

TY19

80

ING

OD

WE

TU

T

RS

LIBER

TY19

80

ING

OD

WE

TU

TIN

GOD WE T R UST IN

GOD WE T R UST IN

GOD WE T R UST

Penny Penny Penny Dime Nickel Nickel

How much did the pen cost?

Show your work.

Answer $



Go On

42 A locker room next to a gym has 8 rows of lockers with 26 lockers in each row. What is the total number of lockers?

Show your work.

Answer lockers

43 On Saturday, Cory and Emma washed a total of 5 cars. Cory washed 3 cars and Emma washed 2 cars. Complete the number sentence below by writing the symbol , , or on the line.

Number Sentence 5 3 2

Last week, Cory washed 17 cars, and Emma washed 21 cars. On the line below, write a number sentence to show the relationship between the number of cars Cory washed and the number of cars Emma washed last week. Use either or

in your number sentence.

Number Sentence


44 Ms. Caldwell planted an apple tree that is 6 feet 4 inches tall. How tall is the tree in inches?

Show your work.

Answer inches

45 Dennis places 52 shells in 4 equal piles. He writes the number sentence below to find the number of shells in each pile.

52 4 ?

How many shells does Dennis place in each pile?

Answer shells

Complete the number sentence that could be used to check to see whether your answer is correct.

Number Sentence 4



Go On

46 The pictograph shows the number of cars three students washed during a car wash fundraiser.

= 4 cars

KEY Student Number of Cars Washed

STUDENT CAR WASH

Christy

David

Mica

Complete the table below to show the number of cars each student washed during the car wash.

Be sure to

• title the table• label and complete the first column• enter all the data

David

Number of CarsWashed


47 Jenny makes the bookmark shown below.

7 units

2 units

What is the perimeter, in units, of the bookmark?

Show your work.

Answer units

What is the area, in square units, of the bookmark?

Answer square units



STOP

48 Mr. Blake ordered 12 boxes of paintbrushes. There were 8 paintbrushes in each box. How many paintbrushes did Mr. Blake order in all?

Show your work.

Answer paintbrushes

Mr. Blake opened some of the boxes of paintbrushes when they arrived. There was a total of 24 paintbrushes in the boxes he opened. How many boxes did Mr. Blake open?

Answer boxes




8Grade

March 9–13, 2009 21319




Book 1




• Read each question carefully and think about the answer before choosing your response.




Sample A

What is the shape of each base of a cylinder?

A circle

B rectangle

C triangle

D square

STOP

Sample B

Use your ruler to help you solve this problem.

What is the area, in square centimeters, of the rectangle shown below?

A 15

B 17

C 30

D 34

Go On



1 Which expression is equivalent to 14a 4a 5a 3a ?

A 2a

B 8a

C 12a

D 20a

2 In the diagram below, line s is parallel to line t, and line r is a transversal.


x

s

r

t

68°

What is the measure of x ?

A 158

B 112

C 68

D 22


3 Which line segment represents the hypotenuse on right triangle ABC ?

BD C

A


A AB

B AC

C AD

D BC

4 Simplify the expression below.

103 10–7

A 104

B 1010

C 10–4

D 10–21

Go On



5 In the diagram below, line m and line n are parallel, and line p is a transversal.


x

125°m

n

p


A 35°

B 55°

C 125°

D 215°

6 Solve the equation below for x.

2(6 2x) 8x

A x 1

B x 2

C x 3

D x 6


7 John drew the graph below to represent a situation.

x

y

400300200100

0

Minutes15 20105

Deg

rees

Which statement could describe the situation John graphed?

A The temperature of a frozen pizza cooking in an oven increases 5 degrees every minute.

B The temperature of a frozen pizza cooking in an oven increases 10 degrees every minute.

C The temperature of a frozen pizza cooking in an oven increases 15 degrees every minute.

D The temperature of a frozen pizza cooking in an oven increases 20 degrees every minute.

Go On



8 In triangle ABC below, ACB is a right angle. If the length of AC is 8 centimeters and the length of AB is 10 centimeters, what is the length, in centimeters, of BC ?

A

C B


c2 a2 b2

A 2

B 4

C 5

D 6


9 In the diagram below, JK is parallel to LM , and line n is a transversal.


n

J L

K M

1 37 8

45 6

2

Which two angles must be congruent to 4 in the diagram?

A 1 and 2

B 1 and 6

C 2 and 7

D 6 and 7


3xy(9xy 14x)

A 27xy 42x

B 9xy 42x2y

C 27x2y2 14x

D 27x2y2 42x2y

Go On



11 Which situation is best represented by the graph below?

A the height of a child from age ten to fifteen

B the volume of a balloon as it is being filled with air

C the amount of gasoline in a car’s tank during a five-hour trip

D the volume of water in a swimming pool as it is being filled

12 The cost of Cynthia’s dinner is $15.20. She leaves a tip that is 15% of the cost of the dinner. What is the best estimate for the amount of the tip?

A $1.00

B $2.00

C $3.00

D $4.00


13 In the diagram below, line a is parallel to line b, and line r is a transversal. Which pair of angles must have the same measure?

1

5 6

7 8

2

4a

b

3


r

A 1 and 6

B 1 and 7

C 2 and 7

D 3 and 5

14 Which verbal expression is the same as n2 6 ?

A two more than half of six

B six more than half of a number

C the sum of a number and two plus six

D six more than the product of a number and two

Go On



16 What is 3m3 6m2 divided by 3m ?

A m2 6m2

B m2 2m

C 3m2 6m

D m3 2m2

15 In the diagram below, line m intersects line n. Which pair of angles must be congruent?


1 2

4 3

5

m n

A 1 and 3

B 1 and 5

C 2 and 3

D 3 and 5


17 The measure of 1 in the diagram below is 113 .


41

23

What is the measure of 4 ?

A 67

B 77

C 113

D 203

Go On



18 Use your ruler to help you solve this problem.

What is the best estimation of the most direct route between Red Bank and Randaville?

ROADS BETWEEN RED BANKAND RANDAVILLE

Red Bank

Randaville

SCALE

1 cm = 10 km

A 7 kilometers

B 9 kilometers

C 70 kilometers

D 90 kilometers


19 Alisa pays $0.50 per hour to park her car at the museum. Which graph correctly shows the relationship between the hours, x, Alisa’s car is parked and the total parking cost in dollars, y ?

A

x

y

121110987654321

PARKING COSTS

Hour

Cost

(in

dolla

rs)

0 21 43 65 87 109 1211

B

x

y

121110987654321

PARKING COSTS

Hour

Cost

(in

dolla

rs)

0 21 43 65 87 109 1211

C

x

y

121110987654321

PARKING COSTS

Hour

Cost

(in

dolla

rs)

0 21 43 65 87 109 1211

D

x

y

121110987654321

PARKING COSTS

Hour

Cost

(in

dolla

rs)

0 21 43 65 87 109 1211

Go On



20 In the diagram below, RS intersects TU at point V, and the measure of RVU is 110°.


110°V

x

R

S

U

T


A 20

B 70

C 110

D 200


3x6 9x4 6x2

3x2

A x4 3x2 2

B x4 6x2 3

C x3 3x2 3x

D x3 6x2 3x


22 The scale on a road map is shown below.

SCALE

1 cm = 75 mi

Sam measures the distance on the map between Rockland and Newbury as 5 centimeters. What is the actual distance, in miles, between Rockland and Newbury?

A 15

B 80

C 375

D 575

23 In the diagram below, line e and line f are parallel, and line r is a transversal.


80o 1

2

e

f

r

What is the sum of the measures of 1 and 2 ?

A 100

B 160

C 180

D 200

Go On



24 In the diagram below, what is the measure of x ?

75°x


A 15

B 75

C 105

D 165

25 The scale on a map of Audrey’s home state indicates that 1 centimeter is equivalent to 30 miles. On this map, the distance between Davenport and Vansburg is 12 centimeters. What is the actual distance between Davenport and Vansburg?

A 90 miles

B 180 miles

C 360 miles

D 720 miles


27 What is the length of side x in the triangle below?

15 in. 17 in.

x


A 2 inches

B 8 inches

C 23 inches

D 32 inches

26 In the rectangle below, which angle is the right angle of a right triangle?


A B C

DEF

A BCD

B AED

C CDA

D FAD

STOP



8Grade

21320

March 9–13, 2009 Name __________________________________




Book 2






• Use your calculator to help you solve the problems on this part of the test.


Mathematics Reference Sheet

Pythagorean Theorema

b

c c 2 a2 b 2

Simple Interest I prt

Distance Formula d rt

Temperature Conversions

F 9 5C 32

C 59(F 32)

Measurement Conversions

1 mile 5,280 feet1 yard 3 feet

FORMULAS CONVERSIONS

Go On



28 Willow Boulevard intersects Main Street at a 71 angle, as shown in the diagram below.

71°x


Main St.

Willow Blvd.


Show your work.

Answer degrees


29 In the diagram below, JK and LM are parallel, and line n is a transversal.

J L

3

6

215

4

7135º

K

n

M


What is the measure of 1 ?

Answer degrees

On the lines below, explain how you determined your answer.

Go On



30 Complete the table below with the missing values for y.

x y

14

11

8

5

–4

–3

–2

–1

0

1

On the line below, write a function rule that shows the relationship between x and y in the table.

Answer


31 Mustafa buys a book that costs $12.50. If the sales tax is 8%, what is the total cost of the book?

Show your work.

Answer $

Go On



32 Solve the equation below for p.

3(p 6) 5p 4

Show your work.

Answer p

Check your answer.

Show your work.


33 Alexis started making a design by drawing figure ABCD. The next figure in her design is the reflection of figure ABCD in the y-axis. On the coordinate plane below, draw the reflection of figure ABCD. Label the image A’B’C’D’.

y

x0 1 2 3 4 5 6 7 8 9 10-1-3-4-5-6-7-8-9-10 -2

10

9

8

7

6

5

4

3

2

1

-1

-2

-3

-4

-5

-6

-7

-8

-9

-10

A B

CD



On the lines below, explain how you determined the location of B’.

STOP




8Grade

21321

March 9–13, 2009 Name __________________________________




Book 3






• Use your calculator to help you solve the problems on this part of the test.


Mathematics Reference Sheet

Pythagorean Theorema

b

c c 2 a2 b 2

Simple Interest I prt

Distance Formula d rt

Temperature Conversions

F 9 5C 32

C 59(F 32)

Measurement Conversions

1 mile 5,280 feet1 yard 3 feet

FORMULAS CONVERSIONS

Go On



34 In the diagram below, line l and line m are parallel, and line k is a transversal.

k

l

m

PRQ

S TU W


134

What is the measure of U ?

Answer degrees



35 Complete the table below to create a pattern that shows a linear relationship between x and y.

x y

1

2

3

4

Write an equation that can be used to represent the relationship between x and y in your table.

Equation

36 What is 28a11b7 divided by 4a3b ?

Show your work.

Answer

Go On




(3x2 4x 3) (2x 1)

Show your work.

Answer

37 Jeff wants to buy a phone card for long-distance calls. He can buy a 200-minute card for $10.00 or a 300-minute card for $12.00. Which card is the better value?

Show your work.

Answer


39 In the diagram below, line a and line b are parallel, line c is a transversal, and the measure of 1 is 100 .

1

3

57

68

4

2a

b

c


Is 3 congruent to 1 ? On the lines below, explain how you determined your answer. If it is not congruent, give the correct measure of 3.

Go On



40 On the lines below, describe a situation that could be represented by the graph shown below.

Gal

lon

sMinutes

On the lines below, explain the reason the graph does not pass through the origin in the situation you described.


41 In the diagram below, lines l and m intersect. What is the measure of n in the diagram below?


43° n

l

m

Answer degrees


Go On



42 Shawn drew figure ABCD. He plans to create figure A’B’C’D’ by translating figure ABCD 6 units down and 4 units to the right. On the coordinate plane below, draw and label Shawn’s figure A’B’C’D’.

y

x0 1 2 3 4 5 6 7 8 9 121110-1-3-4-5-6-7-8-9-12 -11 -10 -2

12

11

10

9

8

7

6

5

4

3

2

1

-1

-2

-3

-4

-5

-6

-7

-8

-9

-10

-11

-12

C

BA

D

Next Shawn plans to create figure A”B”C”D” by translating figure A’B’C’D’ 2 units up and 8 units to the right. What will be the coordinates of point A”?

Answer


43 Melinda makes hats to give as gifts. She needs 2 days to complete each hat. On the grid below, create a line graph that shows the relationship between the number of days it takes Melinda to make hats and the number of hats she completes.

Be sure to

• title your graph

• label the axes

• graph all the data

How many hats will Melinda make in 14 days?

Answer hats

Go On



44 Lenora is practicing simplifying expressions for her mathematics class.

Part A

Lenora simplified the expression (2x−1y 4)(5x3y 2) as shown below.

(2x−1y 4)(5x3y 2) 10x−3y 8

Did Lenora simplify the expression correctly? On the lines below, explain how you determined your answer.

Part B

What answer will Lenora get if she correctly simplifies the expression below?

4x3y5

2x2y

Answer


STOP

45 What is the solution of the equation below?

4(x 5) x 8

Show your work.

Answer x

Check to see if your answer is correct.

Show your work.



Sample QuestionsGeneral Information about The Nation’s Report CardTM

Grade 42009

MathematicsReadingScience

6 Mathematics—Grade 4

Mathematics Booklet Directions

This assessment uses many different booklets. Each booklet has different questions. Do not worry if the person next to you is working on questions that do not look like those you are working on.

Read each question carefully and answer it as well as you can. Do not spend too much time on any one question.

For some of the questions you may need to write or draw the answer. You can see how this is done in the example below.

You may be given a calculator to use for at least one part of your booklet. If you are given a calculator, you will have to decide when to use it in each section where its use is permitted. For some questions using the calculator is helpful, but for other questions the calculator may not be helpful. After each question you will be asked to indicate whether you used the calculator.

When you receive the calculator, make sure you know how to use it. There are instructions on the back cover of this booklet to help you. If the calculator does not work or if you do not know how to use it, raise your hand and ask for help.

REMEMBER:

Read each question CAREFULLY.

Fill in only ONE OVAL for each question or write your answer in the space provided.

If you change your answer, ERASE your first answer COMPLETELY.

CHECK OVER your work if you finish a section early.

Do not go past the sign at the end of each section until you are told to do so.

Draw a circle in the space below.

STOP

Mathematics—Grade 4 7

Sample Mathematics QuestionsGrade 4

1. Each boy and girl in the class voted for his or her favorite kind of music. Here are the results.

1 student

Girls

Boys

Classical

Girls

Boys

Rock

Girls

Boys

Country

Girls

Boys

Other

TO THE NEXT PAGEGO ON

Which kind of music did most students in the class prefer?

A Classical

B Rock

C Country

D Other


2. Sam can purchase his lunch at school. Each day he wants to have juice that costs 50¢, a sandwich that costs 90¢, and fruit that costs 35¢. His mother has only $1.00 bills. What is the least number of $1.00 bills that his mother should give him so he will have enough money to buy lunch for 5 days?

STOP

3. If both the square and the triangle above have the same perimeter, what is the length of each side of the square?

A 4

B 5

C 6

D 7

Sample QuestionsGeneral Information about The Nation’s Report CardTM

Grade 82009

MathematicsReadingScience


Mathematics Booklet DirectionsThis assessment uses many different booklets. Each booklet has different questions. Do

not worry if the person next to you is working on questions that do not look like those you are working on.

Read each question carefully and answer it as well as you can. Do not spend too much time on any one question.

For some of the questions you may need to write or draw the answer. You can see how this is done in the example below.

You may be permitted to use a calculator for at least one part of your booklet. You may use either your own calculator or the calculator provided by NAEP. If you are permitted to use a calculator, you will have to decide when to use it in each section where its use is permitted. For some questions using the calculator is helpful, but for other questions the calculator may not be helpful.

If you are using the calculator provided by NAEP, make sure you know how to use it before beginning the section. There are instructions on the back cover of this booklet to help you. If the calculator does not work or if you do not know how to use it, raise your hand and ask for help.

REMEMBER:

Read each question CAREFULLY.

Fill in only ONE OVAL for each question or write your answer in the space provided.

If you change your answer, ERASE your first answer COMPLETELY.

CHECK OVER your work if you finish a section early.

Do not go past the sign at the end of each section until you are told to do so.

Draw a circle in the space below.

STOPY123CDM

Mathematics—Grade 8 7

Sample Mathematics QuestionsGrade 8

TO THE NEXT PAGEGO ON

A CB

1. Of the following, which is the best unit to use when measuring the growth of a plant every other day during a 2-week period?

A Centimeter

B Meter

C Kilometer

D Foot

E Yard

2. Jaime knows the following facts about points A, B, and C.

• Points A, B, and C are on the same line, but might not be in that order.

• Point C is twice as far from point A as it is from point B.

Jaime concluded that point C is always between points A and B.

Is Jaime’s conclusion correct?

Yes No

In the space provided, use a diagram to explain your answer.


STOP

3. In the figure above, what fraction of rectangle ABCD is shaded?

A

B

C

D

E

16

15

14

13

12

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