1 Mathematics Test Book 3 Grade 8 March 6 12, 2008 Name 203032 Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Compani...

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Grade

8

March 6–12, 2008 Name __________________________________ 20303

Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies, Inc., 20 Ryan Ranch Road, Monterey, California 93940-5703. Copyright © 2008 by New York State Education Department. All rights reserved. No part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of New York State Education Department.

Book 3 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 writing • •

your response. Be sure to show your work when asked. You may receive partial credit if you have shown your work. Use your calculator to help you solve the problems on this part of the test.

This picture means that you will use your ruler.

Mathematics Reference Sheet FORMULAS Pythagorean Theorem

CONVERSIONS a

c

c 2 a2 b 2

b

Temperature Conversions 9 F C 32 5

Simple Interest

I prt

5 C (F 32) 9

Distance Formula

d rt

Measurement Conversions 1 mile 5,280 feet 1 yard 3 feet

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Book 3

Page

1

34

In the diagram below, PRQ measures 73.

P

Q R S

T

[not drawn to scale] What is the measure of QRT ? Show your work.

Answer

degrees

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Page

3

35

What is the polynomial resulting from the subtraction below?

(3x2 4x 7) (x2 2x 6) Show your work.

Answer

Page

4

Book 3

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36

In triangle ABC below, AB is 9 meters long and BC is 7 meters long. Use the Pythagorean theorem to find the length of AC to the nearest tenth of a meter.

A

9

C

7

B

[not drawn to scale] Show your work.

Answer

meters

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Page

5

37

g

g

In the diagram below, MN OP , and transversal k intersects both lines.

k M

O

1 2 3 4 5 6 7 8

N

P

[not drawn to scale] Name two angles in the diagram that are congruent to ∠4. Answer ∠

and ∠

On the lines below, explain how you determined these angles are congruent to ∠4.

Page

6

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38

Tyrone travels internationally on business. On a trip to Japan, Tyrone uses the exchange rates in the tables shown below.

U.S. Dollar

Japanese Yen

$1.00

115.19¥

Japanese Yen

U.S. Dollar

1¥

$0.008681

What is the value of 75 U.S. dollars in Japanese yen? Round your answer to the nearest yen. Show your work.

Answer

¥

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Page

7

39

The graph below shows the change in water temperature of a glass of tap water placed into a freezer.

Temperature (C)

CHANGE IN WATER y TEMPERATURE 30 25 20 15 10 5 0

5 10 15 20 25 30 35 40

x

Time (in minutes) Use information in the graph to determine how many total minutes it takes the water to reach 0°C. Answer

minutes

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

Page

8

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40

Ramona is a travel agent. She receives a 6% commission on vacation package sales.

Part A How much commission will Ramona make if she sells $3,600 in vacation packages? Show your work.

Answer $

Part B Ramona receives an additional 2% bonus on the sale of vacation packages during February. What would be her combined commission and bonus if she sells $3,600 in vacation packages during February? Answer $

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Page

9

41

On the coordinate plane below, draw the image of polygon ABCDE translated 8 units to the right and 4 units up. Label the image ABCDE. y 12 11 10 9 8 7 6 5 4 3 2 1 -12 -11 -10 -9

-8

-7

-6

-5

-4

-3

-2

-1 0 -1

1

2

3

4

5

6

7

8

9

10 11 12

x

-2

A

-3 -4 -5

E

C D

B

-6 -7 -8 -9 -10 -11 -12

Page

10

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42

Consuelo is grocery shopping and sees that the price of 4 melons is $7.00. Write a proportion that Consuelo can use to find the price of 1 melon.

Proportion Use your proportion to find the price of 1 melon. Show your work.

Answer $

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Page

11

43

The table below shows the coordinates of triangle RST and the coordinates of R’ in triangle R’S’T’. Triangle R’S’T’ is a dilation of triangle RST.

Triangle RST

Triangle R’S’T’

R

(–2, –3)

R‘

S

(0, 2)

S’

T

(2, –3)

T’

(–6, –9)

Part A What are the coordinates of point S’ and point T’?

Page

Answer S’ (

,

)

T’ (

,

)

12

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Part B On the grid below, draw triangle RST and triangle R’S’T’. y 10 9 8 7 6 5 4 3 2 1 -10 -9

-8

-7

-6

-5

-4

-3

-2

-1 0 -1

1

2

3

4

5

6

7

8

9

10

x

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

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Page

13

44

In the diagram below, line r and line t are parallel. Line n is a transversal. n

A (15 x)°

B (6x 60)°

r

t

[not drawn to scale] What is the measure, in degrees, of A ? Show your work.

Answer

Page

14

degrees

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45

In the diagram below, DEF and FEG are complementary.

E

26

D F

G

[not drawn to scale] What is the measure of FEG ? Show your work.

Answer

degrees

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Page

15

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Grade 8 Mathematics Test Book 3 March 6–12, 2008

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