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MATHEMATICS

On Your Own E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A IS NOT PRODUCED T I . D IGHTE K TO BE RE R Independent Y P O O C O S I B K S I LE BOO VEN FOR TH P M Math A THIS S IS NOT GI ISSION M Problem-Solving R E P

Activities Level

H


RALLY! EDUCATION 22 Railroad Avenue Glen Head, NY 11545 888-99-RALLY Fax: 1-516-671-7900 www.RALLYEDUCATION.com LESLIE@RALLYEDUCATION.com …………………………………………………………………………………………………………………………

Mathematics On Your Own …………… Independent Math Problem-Solving Activities Grade Levels 3-8 Students work independently to reinforce math skills during summer vacation. Parts 1 & 2 Mathematical Problems with Multiple-Choice Questions • Multiple-Step problems • Higher-Level problems • Stamina Builder Part 3 Open-Ended Problems • Higher-Level Short and Extended-Response Math Problems Answer Key includes answers and scoring rubrics with possible answers for open-ended questions. Level C D E F G H

Grade Level 3 4 5 6 7 8

(prefix: 978-1-4204) 25-Pack 100-Pack 7046-8 7047-5 7049-9 7050-5 7052-9 7053-6 7055-0 7056-7 7058-1 7059-8 7061-1 7062-8

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E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

Level

H


Mathematics On Your Own • Level H

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM ISBN 978-1-4204-7060-4 R 7060-4 Copyright ©2013 RALLY! EDUCATION. All rights reserved. No part of the material protected by this copyright may be reproduced in any form by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system, without permission in writing from the copyright owner. Printed in the U.S.A. 0512.MAQ RALLY! EDUCATION 22 Railroad Avenue Glen Head, NY 11545 (888) 99-RALLY

2

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Mathematics On Your Own • Level H

Contents Mathematics On Your Own Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Part 1: Multiple-Choice Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 Part 2: Multiple-Choice Questions . . . . . . . . . . . . . . . . . . . . . . . . . . 24 Part 3: Open-Ended Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 Part 4: Open-Ended Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 Reference Sheet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Ruler . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61

Answer Key

RALLY!’s Math Strands . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 Part 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64

R. AY. LIN W K C Y A L N A Part 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .N.O.T. A. .B. . . . . . E. D . .IN . 68 C U S I D T RO .I Part 4 . . . . . . . . . . . . . . . . . . . . . . R . I.G.H.T.E.D. . . . . . .B.E. R. E. P. . . . . . . . . . 72 O COPY . I.S. B. .O.O.K. T. . . . . . . . . . . . . . . . . 74 Total Your Score. . . .B.O.O.K. I.S. . . . . . .TH FOR PLE N M E A V S I THIS NOT G S I N ISSIO PERM

TE Part 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .E. M . A. S66

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3


Mathematics On Your Own • Level H

Introduction Mathematics On Your Own: Independent Math Problem-Solving Activities Mathematics On Your Own gives you problem-solving activities to reinforce your math skills.

Parts 1 & 2: Mathematical Problems with Multiple-Choice Questions

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

• Focus on Problem-Solving • Stamina Builder

Each multiple-choice problem is worth 1 point.

Parts 3 & 4: Open-Ended Math Problems STER. . A M E ACKLIN IN ANY WAY L B • Higher-Level Short and Extended-Response Math Problems A S NOT PRODUCED I T I . D Some open-ended problems are worth GHTE2-points. BE RE I R O Y T P K O BOOworth 3-points. Problems that require greater K IS Cstamina Sare I O H O T B R LE FO MPthe EN the Ain V S I G S I The answer key back of book includes answers to T H T NO S I N SIO scoring rubrics for open-ended questions. the problems ISand PERM

You can remove the answer key if you choose to.

4

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Mathematics On Your Own • Level H

Part 1

Part 1 Multiple-Choice Questions

Directions Part 1 asks only multiple-choice questions. Each question has only one correct answer. Read the questions and answer choices very carefully. Be sure to mark the answer you have selected. 4

R 1 1 E 5 F3 2

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

If you see this symbol, you may use your reference sheet to help solve the problem.

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

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5


Part 1

Mathematics On Your Own • Level H

Sample problems Read the sample questions and mark your answer.

S1 Which of the following statements is true? A √16 8 9 9 B √4 C √36 6 1 7 D √8

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

S2 Adam is 6 feet tall. How tall is Adam in INCHES?

/ « / « / « . « . « . « . « . « 00000 STER. . A M E 11111 ACKLIN IN ANY WAY L 22222 B A 33333 S NOT PRODUCED I T I . 44444 GHTED TO BE RE I R Y P 55555 CO OOK S I B K S I O H 66666 LE BO VEN FOR T 77777S SAMP I OT GI TH8 N 8888 S I N 99999 MISSIO

P ER

6

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Mathematics On Your Own • Level H

Part 1

Directions Read the questions and mark the answer you have selected.

1 Which of these is the same as 42? A B

1 16 1 8

C

16

D

8

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

2 Which of these is the same as 57  54? A

3

511

STER. . A M E ACKLIN IN ANY WAY L B A C 2511 S NOT PRODUCED I T I . D 2528 GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S TG THIS NOan S I Which of the following is irrational number? N ISSIO M R E P B

528

A

1 7

B

0.125

C

0.2

D

√2

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Part 1

Mathematics On Your Own • Level H

4 What is the slope of the line with the equation y 2x  4? 4

R 1 1 E 5 F3 2

A

2

B

2

C

4

D

4

5 The solution to an inequality is x  1. Which graph represents the solution? A

B

C

6

23

23

23

22

21

0

1

22

21

0

1

22

21

0

1

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY D L B A 23 22 21 0 1S NOT UCED I D T O I R . GHTED TO BE REP I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S Which of the can be used to produce the values in the table below? OT G THISfollowing Nequations S I N ISSIO x y PERM 0 1 2 3

8

A

y x3

B

y 3x  2

C

y 2x  3

D

y x1

23 21 1 3

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Mathematics On Your Own • Level H

Part 1

7 Look at the diagram below. B

A

D

C

Which of these is the altitude of 䉭ABC? A

A 苶B 苶

B

A 苶D 苶

C

B 苶C 苶

D

B 苶D 苶

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E WAY CKLIN Y A L N 4 A B A N I 1.9  10 S NOT PRODUCED I T I . 8.4  103 GHTED TO BE RE I R Y P CO OOK S I B K 6 S I O H 6.7  10 PLE BO IVEN FOR T M A S TH2 IS 3.3  10 NOT G S I N ISSIO PERM

8 Which number below represents the LEAST amount? A B C D

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9


Part 1

Mathematics On Your Own • Level H

9 Simplify: A B C D

4

6 16 6 8 9 64 9 8

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

10 Which of these is a correct description of the graph of the equation y 5x  6?

R 1 1 E 5 F3 2

11

10

2

() 3 8

A

It has a slope of 6 and a y-intercept of 5.

B

It has a slope of 6 and a y-intercept of 5.

C

It has a slope of 5 and a y-intercept of 6.

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . RE GHTED cars.TOOn BESunday, I On Saturday, Alexandra earned $30 washing she increased R Y P K O O C O S I B her earnings by 20%. How much did Alexandra earn on Sunday? BOOK R THIS E O L F P N M E A $32 THIS SA OT GIV N S I ION B $36PERMISS D

It has a slope of 5 and a y-intercept of 6.

C

$45

D

$50

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Mathematics On Your Own • Level H

Part 1

2 1 ) 2. 12 Find the value of (√1

/ « / « / «

. « . « . « . « . « 00000 11111 22222 33333 44444 55555 66666 77777 88888 99999

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

13 In a school election, 35% of students voted for Amanda. If 280 students voted in all, how many students did NOT vote for Amanda? A

98 students

B

STER. . A M E 35 students ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I 245 students . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

C D

182 students

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11


Part 1

4

Mathematics On Your Own • Level H

14 What is the equation of the straight line that passes through the points (2, 4) and has a slope of 3?

R 1 1 E 5 F3 2

A

y 3x  10

B

y 3x  10

C

y 3x  10

D

y 3x  10

15 Look at the polygon below.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B 4 A S NOT PRODUCED I T I . 5 GHTED TO BE RE I R Y P CO OOK S I B K S I 10 O H PLE BO IVEN FOR T M A S 25 THIS NOT G S I N ISSIO PERM

How many diagonals does the polygon have? A B C D

12

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Mathematics On Your Own • Level H

Part 1

16 Which series of transformations would change 䉭XYZ to 䉭X Y Z ? y 6

Y

5 4 3 2 1 -6

-5

-4

-3

-2

-1

Z

X 0

1

2

3

-1

4

5

6

x

Y9

-2 -3

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 -4 -5

X9

Z9

-6

17

A

translation, then rotation

B

translation, then reflection

STER. . A M E ACKLIN IN ANY WAY L D reflection, then translation B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B 3 K S I O H 24  PLE BO IVEN FOR T M 8 A S THIS NOT G S I N A 9 ISSIO PERM C

reflection, then rotation

B

27

C

64

D

192

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13


Part 1

Mathematics On Your Own • Level H

18 Which of the following graphs has a negative slope? y

y

A

6

6

5

5

4

4

3

3

2

2

1 -6

-5

-4

-3

-2

-1

0

1

2

3

4

5

6

x

C

1 -6

-5

-4

-3

-2

-1

0

-1

-1

-2

-2

-3

-3

-4

-4

-5

-5

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 -6

14

-6

2

3

4

5

6

x

-6

y

y

B

1

6

6

5

5

4

4

3

3

2

2

STER. . A M E 1 ACKLI1N IN ANY WAY L B D A x -5 -4 -3 -2 -1 0 1 2 3 4 5 6 S -6NO-5T -4 P-3 R-2OD-1U-1C0ED1 2 3 4 5 6 I T I -1 . GHTED TO BE RE I -2 -2 R Y P K O O C O S I B -3 -3 OK HIS O T B R E O L -4 F -4 EN AMP V S I G S I T H -5 -5 T NO S I N -6 ISSIO-6 PERM

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x


Mathematics On Your Own • Level H

Part 1

19 What is 0.00012 in scientific notation? A

0.12  103

B

0.12  104

C

1.2  103

D

1.2  104

20 Look at the circle below.

A

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 C

B

D

STER. . A M E chord ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . diameter GHTED TO BE RE I R Y P CO OOK S arc I B K S I O H PLE BO IVEN FOR T radius HIS SAM T NOT G S I N ISSIO PERM

Which term correctly describes C 苶D 苶? A B C D

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15


Part 1

Mathematics On Your Own • Level H

21 Samantha recorded the high temperature every day for one month. She wants to graph the data to determine if there is any trend. Which type of graph would be BEST to use? A

stem-and-leaf plot

B

box-and-whisker plot

C

circle graph

D

line graph

22 What is the square root of 169?

/ « / « / « .« « . « . « . « . 00000 11111 22222 33333 44444 55555 66666 77777 88888 99999

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

16

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Mathematics On Your Own • Level H

Part 1

23 Jamie spun the spinner below once.

8

1

7

2

6

3 5

4

What is the probability of spinning an even number or a one? A B C D

24 4

R 1 1 E 5 F3 2

1 2 3 8 5 8 1 16

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . D RE GHaTEline BaEnegative I R O Which of the following is the equation of with slope? Y T P K O O C O S I B BOOK R THIS E O A y 3x  4 L F P N M HIS SA IS NOT GIVE T B y 3x  4 ION RMISS E P C y 3x  4 D

y x4

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17


Part 1

Mathematics On Your Own • Level H

25 4.2  0.8

/ « / « / « . « . « . « . « . « 00000 11111 22222 33333 44444 55555 66666 77777 88888 99999

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

26 Which of the following shapes does NOT have any parallel faces? A

cylinder

B

cone

C

rectangular prism

D

18

STER. . A M E ACKLIN IN ANY WAY L triangular prism B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

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Mathematics On Your Own • Level H

Part 1

27 Write the expression below using exponents.

A

5

() 1 4

B

1 4 5

C

45

D

54

1 1 1 1 1     4 4 4 4 4

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

28 A car traveling at a constant rate traveled 210 kilometers in 5 hours. James drew a graph of the distance the car traveled, in kilometers, as a function of time, in hours. What would be the slope of the graph?

STER. . A M E ACKLIN IN ANY WAY L B 00000 A S NOT PRODUCED I 11111 T I . 22222 GHTED TO BE RE I R Y P 33333 CO OOK S I B K S I O H 44444 LE BO VEN FOR T 55555 IS SAMP OT GI TH N 66666 S I 77777 ISSION M R E P8 8888 / « / « / «

. « . « . « . « . «

99999

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19


Part 1

Mathematics On Your Own • Level H

29 Lauren bought a 4-pound bag of oranges from the grocery store for $4.40 including tax. Emma bought 6 oranges from a market for $2.60. What additional information is needed to work out who got the better deal? A

the amount of tax on the oranges Lauren bought

B

the cost of Lauren’s oranges per pound

C

the weight of the oranges Emma bought

D

the cost of Emma’s oranges per orange

30 A used car salesperson earns $250 per week, plus a bonus of $150 for each car sold. The salesperson wants to earn at least $700 each week. Which inequality can be used to find the number of cars, n, the salesperson must sell to earn at least $700?

20

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

A

250  150n  700

B

250  150n  700

C

250n  150  700

D

250n  150  700

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

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Mathematics On Your Own • Level H

Part 1

31 The equations y x  3 and y 2x  6 are graphed below. y 6 5 4 3 2 1 -6

-5

-4

-3

-2

-1

0

1

2

3

4

5

6

x

-1 -2

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 -3 -4 -5 -6

What is the solution of the two equations? A B C D

STER. . A M E ACKLIN IN ANY WAY L B A (0, 3) S NOT PRODUCED I T I . (0, 3) GHTED TO BE RE I R Y P CO OOK S I B K S I O H (3, 0) PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM (3, 0)

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21


Part 1

Mathematics On Your Own • Level H

32 Darren has to wear a suit, a shirt, and a tie to work. Darren has 2 suits, 4 shirts, and 3 ties to choose from. If Darren buys 2 more shirts, how many MORE outfits will be possible? A

2

B

12

C

8

D

36

33 Which of the following statements is true? A

35 3  5

B

35 5  5  5

C

35 5  5  5  5  5

D

35 3  3  3  3  3

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

.

STER is . 34 Which of the following equations represents the perimeter, p, of aE hexagon A M AY LIN 6 times the side length, s? ANY W BLACK A B C D

22

D IN OT A E N C U S I D T p 6s TED. I O BE REPRO H G I R COPY IS BOOK T S 6 ps I K O BO R TH E O L F P N M E p 6 HIsS SA OT GIV T N S I N 6p sRMISSIO E P

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Mathematics On Your Own • Level H

Part 1

35 Jonah made a list of the number of points his basketball team scored in their last 10 games. 56, 57, 61, 63, 64, 65, 66, 67, 71, 79 What is the median of the data?

/ « / « / «

. « . « . « . « . « 00000 11111 22222 33333 44444 55555 66666 77777 88888 99999

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A y 2x  3 S NOT PRODUCED I T I . y 2x3  3 GHTED TO BE RE I R Y P CO OOK S I B K S I O H y 2x2  3 PLE BO IVEN FOR T M A S y 3 THIS NOT G S I N ISSIO PERM

36 Which of the following is the equation of a quadratic function? A B C D

37 Evaluate: 128  126 A

1

B

12

C

48

D

144

STOP

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23


Part 2

Mathematics On Your Own • Level H

Part 2 Multiple-Choice Questions

Directions Part 2 asks only multiple-choice questions. Each question has only one correct answer. Read the questions and answer choices very carefully. Be sure to mark the answer you have selected. 4

R 1 1 E 5 F3 2

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

If you see this symbol, you may use your reference sheet to help solve the problem.

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

24

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Mathematics On Your Own • Level H

Part 2

1 Solve for p: 12(2p  4) 96

/ « / « / « . « . « . « . « . « 00000 11111 22222 33333 44444 55555 66666 77777 88888 99999

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

2 The density of olive oil is 0.91 g/mL. Which is the BEST estimate of the weight of 200 mL of olive oil? A

180 grams

B

198 grams

C D

STER. . A M E 202 grams ACKLIN IN ANY WAY L B A S NOT PRODUCED I 222 grams T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

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25


Part 2

Mathematics On Your Own • Level H

3 There are 28 students in Melanie’s class. Melanie’s teacher will choose 4 students to be on a debating team. How many different combinations of students can Melanie’s teacher choose to be on the debating team? A

106

B

112

C

20,475

D

491,400

4 7.2  3.4  6.25

4

A

23.75

B

14.05

C

66.25

D

28.45

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

.

STER . 5 Mrs. Freeman is cutting material for a tablecloth. She wants to put a Adiagonal M E AY LIN stripe across the tablecloth. ANY W BLACK D IN OT A E N C U S I D T TED. I O BE REPRO H G I R COPY IS BOOK T S I K O BO R TH E O L F P N M A 30 inches E THIS S IS NOT GIV ISSION M R E P

R 1 1 E 5 F3 2

40 inches What is the length of the material Mrs. Freeman should use for the diagonal stripe?

26

A

40 inches

B

50 inches

C

65 inches

D

70 inches

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Mathematics On Your Own • Level H

Part 2

6 Mario makes a 12-minute phone call. The total cost for the phone call is $0.72. If Mario is charged the same per minute rate, how much would it cost Mario to make a 30-minute phone call? A

$1.80

B

$2.16

C

$3.22

D

$3.60

7 Mr. Mateo is paving a driveway. The driveway has an area of 9 square yards. The pavers Mr. Mateo is buying are sold per square foot. How many SQUARE 4 1 FEET of pavers would Mr. Mateo need to buy? R 1 E 5 F3 A 3 square feet 2

8

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

B

27 square feet

C

81 square feet

D

324 square feet

A

16

B

28

C

38

D

42

STER. . A M E ACKLIN IN ANY WAY L B A The list below shows the number of customers IaTrestaurant each UCED day for S NOT Phad I D O R . one week. GHTED TO BE RE I R Y P CO OOK S I B K S I O H T 53, 70 BO37, 41, 42, FOR51, PLE32, N M E A V S I THIS NOT G S I N What is the interquartile range of the data? ISSIO PERM

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27


Part 2

Mathematics On Your Own • Level H

9 The stem-and-leaf plot below shows Damien’s golf scores for his last 10 games. 6 7 8 7 1 4 6 8 9 8 0 2 4 What is the difference between Damien’s highest score and lowest score? A

12

B

13

C

16

D

17

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

10 Ryan had $200.00 in his bank account at the start of the year. He earns 2.5% simple interest each year. If he does not deposit any money into the account, how much interest would he earn in 3 years? A B C D

28

$5.00

STER. . A M E ACKLIN IN ANY WAY L B A $215.00 S NOT PRODUCED I T I . GHTED TO BE RE I $215.38 R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM $15.00

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Mathematics On Your Own • Level H

Part 2

11 The graph of a linear equation is shown below. y 6 5 4 3 2 1 -6

-5

-4

-3

-2

-1

0

1

2

3

4

5

6

x

-1 -2

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 -3 -4 -5 -6

What is the value of y when x 2?

STER. . A M E ACKLIN IN ANY WAY L B A / « / « / « S NOT PRODUCED I T I .« « . « . « . « . . GHTED TO BE RE I R Y 00000 P CO OOK S I B K S 11111 I O H BO FOR T 22222 SAMPLE N E V I 33333 THIS NOT G S I N 44444 ISSIO RM 5555 PE5 66666 77777 88888 99999

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29


Part 2

Mathematics On Your Own • Level H

12 Solve: 18  x  6 A

x  12

B

x  12

C

x  12

D

x  12

13 Evaluate: (8.2  108)  (1.6  104) A

5.125  102

B

5.125  104

C

6.6  102

D

4

6.6  10

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

30

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Mathematics On Your Own • Level H

Part 2

14 Danielle types at an average rate of 40 words per minute. How many minutes will it take Danielle to type 1,800 words?

/ « / « / « . « . « . « . « . « 00000 11111 22222 33333 44444 55555 66666 77777 88888 99999

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

15 Find the value of 4(x  3)2 when x 6. A

33

B

60

C D

STER. . A M E WAY CKLIN Y A L N A B A N I 324 S NOT PRODUCED I T I . 1,296 GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

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31


Part 2

Mathematics On Your Own • Level H

16 Which of the following is an irrational number? A

2.875

B

1.732050808…

C

4.27272727…

D

3.3 苶

17 Which term describes the transformation below? y 6

Y

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 5 4 3 2 1

-6

-5

-4

-3

-2

-1

-1

Z

X

0

1

2

3

4

5

6

x

Y9

B

STER. . A M E -3 ACKLIN IN ANY WAY L B A -4 S NOT PRODUCED I T I . -5 GHTEDZ9 TO BE RE X9 I R Y P -6 CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G reflection S I N ISSIO PERM rotation

C

translation

D

dilation

-2

A

32

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Mathematics On Your Own • Level H

4

Part 2

18 The net for a square pyramid is shown below. Each triangle is equilateral with a base of 6 cm and a height of 6.7 cm.

6.7 cm

R 1 1 E 5 F3 2

6 cm

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO pyramid? OOK S I B K S What is the surface area of the square I O H PLE BO IVEN FOR T 2 IS SAM A 80.4 cmTH NOT G S I N SIO B 116.4Pcm ERM2 IS C

160.8 cm2

D

196.8 cm2

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33


Part 2

Mathematics On Your Own • Level H

19 The can below has a radius of 1.5 inches and a height of 5 inches. 1.5 inches

4

R 1 1 E 5 F3 2

5 inches

What is the volume, in cubic inches, of the can? Round your answer to the nearest tenth.

20 4

R 1 1 E 5 F3 2

23.6 cubic inches

B

47.1 cubic inches

C

141.3 cubic inches

D

35.3 cubic inches

STER. . A M E ACKLIN IN ANY WAY L B A Anna bought 3.5 pounds of potatoes. How many ofDpotatoes NOT UCED did SOUNCES I T O I R . she buy? GHTED TO BE REP I R Y P CO OOK S I B K S A 41 ounces I O H PLE BO IVEN FOR T M A S B 42 ounces THIS NOT G S I N ISSIO C 53 ounces PERM D

34

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

A

56 ounces

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Mathematics On Your Own • Level H

Part 2

21 Deborah has a bag containing 26 letter tiles labeled A through Z. Deborah reaches into the bag and selects one tile without looking. Which of these events are equally likely? A

selecting a vowel and selecting the letter A

B

selecting a vowel and selecting a consonant

C

selecting a vowel and not selecting a consonant

D

selecting a vowel and not selecting a vowel

22 The graph below shows the annual profit of Penny’s Florist for the last 8 years.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 Penny’s Florist

$120,000 $100,000

Profit

$80,000 $60,000

STER. . A M E $40,000 ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . $20,000 GHTED TO BE RE I R Y P CO OOK S I B K S I O H $0 PLE BO IVEN FOR T M A S 2001 OT2002 2003 2004 2005 2006 2007 IS TH2000 N G S I N Year ISSIO PERM

Which year had the greatest increase in profit compared to the previous year? A

2001

B

2002

C

2004

D

2007

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35


Part 2

Mathematics On Your Own • Level H

23 A model of a sailing ship has a scale of 1.5 inches 3 feet. The model sailing ship has a length of 18 inches. What is the length of the actual sailing ship? A

36 feet

B

12 feet

C

81 feet

D

54 feet

24 The ages of all the students in Jordan’s jazz class are shown below in ascending order.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

10, 10, 11, 11, 12, 13, 13, 13, 14, 14, 14, 15, 16 What is the lower quartile of all the ages?

25 4

R 1 1 E 5 F3 2

36

A

10

B

11

C

13

D

14

B

200 square inches

C

220 square inches

D

400 square inches

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P Rima made a wooden jewelryISbox CO in theISshape OOKof a rectangular prism. The B K O H jewelry box has a length inches, FOR Ta height of 5 inches, and a width of PLE BOof 10 N M E A V S I G 4 inches. What area, in square inches, of the jewelry box? THIS is theIStotal NOT surface N SIO A 110Psquare ERMIS inches

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Mathematics On Your Own • Level H

Part 2

26 What is the area of the trapezoid below? 8 cm

4

R 1 1 E 5 F3 2

3 cm

12 cm A

15 cm2

B

30 cm2

C

36 cm2

D

60 cm2

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

3 27 Sandra made 48 cupcakes for a school bake sale. She sold of the cupcakes. 4 How many cupcakes did Sandra have left? A B C D

12 cupcakes

STER. . A M E 16 cupcakes ACKLIN IN ANY WAY L B A S NOT PRODUCED 32 cupcakes I T I . GHTED TO BE RE I R Y P 36 cupcakes CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

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37


Part 2

Mathematics On Your Own • Level H

28 The size of a computer monitor is reported as the length of the diagonal. What would be the reported size of the computer monitor below? 4 Round your answer to the nearest inch. R 1 1 E 5 F3 2

13.5 inches 10.5 inches

29

A

14 inches

B

17 inches

C

18 inches

D

24 inches

B

9 8 25 1 26 1 28 2

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I 1 1 3 R Y P 8  1   4 CO OOK S I B K S I 2 3 4 O H PLE BO IVEN FOR T 8 HIS SAM A 16 T NOT G S I N 25 MISSIO R E P 3 C D

38

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

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Mathematics On Your Own • Level H

Part 2

30 Dominic put $2,000 in his savings account. The savings account earns 5% interest compounded annually. If Dominic does not deposit any money into the account, how much money will be in the account after 3 years? A

$1,714.75

B

$2,100.00

C

$2,205.00

D

$2,315.25

31 Erin is ordering a smoothie. The table below shows the choices Erin has.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 Flavor Banana Strawberry Mango

Size Small Medium Large

Milk Plain Skim Soy

How many different smoothies can be made?

STER. . A M E ACKLIN IN ANY WAY L B A / « / « / « S NOT PRODUCED I . « . « . « . « . T I « . GHTED TO BE RE I 00000 R Y P CO OOK S I B 11111 K S I O H 22222 PLE BO IVEN FOR T M A S 33333 THIS NOT G 44444 SION IS 5555 RMIS PE5 66666 77777 88888 99999

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39


Part 2

Mathematics On Your Own • Level H

32 A rectangular vase can hold exactly 2,000 cubic centimeters of water. A smaller vase is half the height, half the width, and half the length of the larger vase. 4 What is the volume of the smaller vase? R 1 1 E 5 F3 A 125 cubic centimeters 2 B

250 cubic centimeters

C

500 cubic centimeters

D

1,000 cubic centimeters

33 Evaluate: 23

34 4

R 1 1 E 5 F3 2

40

A

8

B

0.125

C

6

D

1 6

C

78.5 square centimeters

D

314 square centimeters

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . A round coaster has a diameter of 10Rcentimeters. GHTED TOWhat BE REis the area, in square I Y P K centimeters, of the coaster?K IS CO S BOO I O H O T B R MPLE EN F O Acentimeters V A 31.4 square S I G S I T H T IS NO N O I S B 62.8 square IS centimeters PERM

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Mathematics On Your Own • Level H

Part 2

35 Find the value of 5x2  4 when x 3. A

25

B

41

C

71

D

221

36 Sonia has 5 books to stack on a shelf. In how many different orders can Sonia arrange the 5 books? A

25

B

125

C

120

D

3,125

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

37 Lisa is making fruit punch for a party. She decides that she will need ER. STbe A 250 milliliters of punch for each person at the party. If there are going to M E AY. LINto make? 4 W K C Y A 1 L N 20 people at the party, how many LITERS of punch will Lisa need R 1 OT A B DUCED IN A E N 5 S I T F3 I RO A 5 liters HTED. E REP 2 B C D

YRIG P K TO B O O C O S I B 12.5 liters BOOK R THIS E O L F P N M E A 250 liters THIS S IS NOT GIV SION 5,000Pliters ERMIS

STOP

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41


Part 3

Mathematics On Your Own • Level H

Part 3 Open-Ended Questions Directions Part 3 asks only open-ended questions. Since you may receive partial credit for many of the problems, it is important to show ALL work in the spaces provided in this book. When you see the words Show All Work, be sure to

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

• show all the steps needed to solve the problem • make your handwriting clear and easy to read • write the answer on the answer line

4

R 1 1 E 5 F3 2

4

1

2

3

3

4

5

6

7

8

1

9

10

11

S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S IS you seeNthis OT Gsymbol, use your ruler to solve the problem. THIf S I N ISSIO PERM

2

42

ER.

ST help . If you see this symbol, you may use your reference sheet MAto E N I L WAY K Y N solve the problem. A A BLAC N I

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Mathematics On Your Own • Level H

Part 3

1 Look at the equation below. y x2 Use the equation to complete the table of ordered pairs below.

x

y

23 22 21

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 0 1 2

STER. . A M E ACKLIN IN ANY WAY L B A ED NOT to graph UCthe Stable I D T O On the following page, use the informationEin the I R . GHT D TO BE REP I R equation of y x2. Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM 3

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43


Part 3

Mathematics On Your Own • Level H

y 10 9 8 7 6 5 4 3 2 1

-10 -9

-8

-7

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 -6

-5

-4

-3

-2

-1

0

1

2

3

4

5

6

7

8

9

10

x

-1 -2 -3 -4

STER. . A M E -6 ACKLIN IN ANY WAY L B A -7 S NOT PRODUCED I T I . TED BE RE -8IGH R O Y T P K K IS CO R-9THIS BOO O O B AMPLE T GIVEN FO-10 S S I H T IS NO N O I S IS PERM -5

44

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Mathematics On Your Own • Level H

Part 3

2 The table below shows Patrick’s test scores on his last 10 math quizzes. Patrick’s Math Quiz Scores 31 29

38 27

42 43

47 32

30 35

Use the data to create a stem-and-leaf plot. Patrick’s Math Quiz Scores Stem

Leaf

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

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45


Part 3

Mathematics On Your Own • Level H

3 The area of the Indian Ocean is 6.9  107 square kilometers. The area of the Pacific Ocean is 1.6  108 square kilometers. What is the difference, in square kilometers, of the areas of the two oceans? Write your answer in scientific notation. Show All Work

Answer

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 square kilometers

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

46

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Part 3

6

Use your ruler to solve this problem.

4

1

2

3

3

4

5

2

4

7

8

1

9

10

11

Mathematics On Your Own • Level H

Look at the figure on the coordinate plane below.

y 3 2 1

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 -3 B

-2 -1 0 C -1

1

2

3

x

-2

A

-3 D

STER. . A M E ACKLIN IN ANY WAY L B A On the coordinate plane, translate the figure 2 unitsNto CED rotate Uand S OTthePright I D T O I R . 90 clockwise about point D. Label the new A B C D . D GHTEfigure BE RE I R O Y T P K K IS CO R THIS BOO O O B AMPLE T GIVEN FO S S I H T IS NO N O I S IS PERM

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47


Part 3

Mathematics On Your Own • Level H

5 Henry is conducting a survey to determine what type of sport the students at his school most like watching. Henry asked the first 50 students who arrived at his school’s basketball game which sport they most liked watching. On the lines below, explain how Henry’s choice of location is likely to produce a biased sample.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Henry then asked the first 50 students who arrived at school in the morning which sport they most liked watching. On the lines below, explain whether STER. . A M E this survey is less likely or more likely to produce a biased sample. WAY KLIN

BLAC A N ANY I T D O E N C . IT IS E REPRODU D E T H G PYRI K TO B O O C O S I B BOOK R THIS E O L F P N M E A THIS S IS NOT GIV ISSION M R E P

48

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Mathematics On Your Own • Level H

Part 3

1 6 Simplify: 3[18  23  (9  )] 3 Show All Work

Answer

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

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49


Part 3

6

Use your ruler to solve this problem.

4

R 1 1 E 5 F3 2

4

1

2

3

3

4

5

2

7

7

8

1

9

10

11

Mathematics On Your Own • Level H

On the coordinate plane below, draw a trapezoid that has an area of 8 square units.

y 10 9 8

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 7 6

5 4 3 2

STER. . A M E Y ACKLIN NY Wx A -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 T A 5 BL6 7 8 I9N A10 S NO PRODUCED I -1 T I . GHTED TO BE RE I R Y -2 P CO OOK S I B K S I O H PLE BO IVEN FOR-3T M A S THIS -4 NOT G S I N O I S IS -5 PERM 1

-10

-6 -7 -8 -9 -10

STOP

50

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Part 4

Mathematics On Your Own • Level H

Part 4 Open-Ended Questions Directions Part 4 asks only open-ended questions. Since you may receive partial credit for many of the problems, it is important to show ALL work in the spaces provided in this book. When you see the words Show All Work, be sure to

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

• show all the steps needed to solve the problem • make your handwriting clear and easy to read • write the answer on the answer line

4

R 1 1 E 5 F3 2

ER.

T AShelp If you see this symbol, you may use your reference sheet Mto E N I AY. L W K C Y A L N solve the problem. AB IN A

S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

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51


Part 4

Mathematics On Your Own • Level H

1 A diagram of Tabatha’s bedroom is shown below. 20 feet 4 feet 14 feet

7 feet Tabatha wants to put a wallpaper border around the perimeter of her bedroom except for the door and the window. The wallpaper border costs $0.75 per foot.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

How much will Tabatha need to spend on the wallpaper border? Show All Work

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N Answer $ ___________________ ISSIO PERM

52

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Mathematics On Your Own • Level H

Part 4

2 Look at the system of equations below. y x2 2y  3x 14 Solve the system of equations for x and y. Show All Work

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Answer x ____________, y ____________

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

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53


Part 4

Mathematics On Your Own • Level H

3 A group of adults and children went to see a play. The sign below shows the cost of tickets to the play.

TICKETS: Adults $9.50 Children $6.00 The total cost for the tickets was $74.00. Write an equation that can be used to find the number of adults and children that bought tickets. Have a represent the number of adults and c represent the number of children.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Equation _____________________________________

STER. . A M E ACKLIN IN ANY WAY L B A T UCEDtickets if 6 S NOadults I D T O I R . Now use the equation you wrote to find how many bought EP GHTEDon the BE Rbelow. I R O Y T P children bought tickets. Write your answer line K K IS CO R THIS BOO O O B Show All WorkSAMPLE EN F O V I G S I T H T IS NO N O I S IS PERM

Answer _________________ adults

54

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Mathematics On Your Own • Level H

Part 4

4 Look at the triangle below. 4

R 1 1 E 5 F3 2

10 centimeters

10 centimeters

12 centimeters What is the height, in centimeters, of the triangle? Show All Work

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . Answer _________________ centimeters GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S G HIS in square What is the Tarea, of the triangle? NOTcentimeters, S I N O I S ERMIS Show All PWork

Answer _________________ square centimeters

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55


Part 4

Mathematics On Your Own • Level H

5 The graph below shows how the school soccer team spent their annual budget. Soccer Team Spending Food and Drink 22%

Travel 24%

Repairs 10% Uniforms 28%

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 Equipment 16%

If the team spent a total of $840.00 on uniforms, how much did the team spend on travel? Show All Work

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM Answer $ ___________________

56

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Mathematics On Your Own • Level H

4

Part 4

6 Heath wants to paint a paperweight he made. A diagram of the paperweight is shown below.

R 1 1 E 5 F3 2

12 cm

8 cm

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

What is the surface area, in square centimeters, of the paperweight? Show All Work

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H FOR T Answer ___________________ centimeters PLE BOsquare N M E A V S I THIS NOT G S I N ISSIO PERM

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57


Part 4

Mathematics On Your Own • Level H

7 Cindy and Jodie completed an experiment to test how long an MP3 player 4

R 1 1 E 5 F3 2

would play music for before it ran out of batteries. Cindy recorded that her MP3 player lasted for 215 minutes. Jodie recorded that her MP3 player lasted 1 for 3 hours. 4 How many minutes longer did Cindy’s MP3 player last for? Show All Work

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Answer ___________________ minutes

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

STOP

58

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Mathematics On Your Own • Level H

Reference Sheet Shape

Formulas for Area (A) and Circumference (C)

Triangle

1 1 A bh  base  height 2 2

Rectangle

A lw length  width

Trapezoid

1 1 A (b1  b2)h  sum of bases  height 2 2

Parallelogram

A bh base  height

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 A s2 side  side

Square

A r 2  square of radius

C 2 r 2   radius 22

3.14 or 7

Circle

ER. AY. LIN W K C Y A L N V lwh length  width  height Rectangular Prisms OT A B DUCED IN A N S I T SA 2lw  2hw G2Hlh TED. I O BE REPRO I R K T  width)  2(length  height) 2(length OO 2(height COPY width) S I B K S I O H PLE BO IVEN FOR T M A S V General THIS NOTBhG area of base  height S I N Prisms ISSIO SA sum of the area of the faces PERM Figure

Formulas for Volume (V) and SurfaceE Area MAST(SA)

V r 2h  square of radius  height Cylinder

SA 2 r2  2 rh 2   radius  radius  2   radius  height 22

3.14 or 7

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59


Mathematics On Your Own • Level H

Conversions 1 yard 3 feet 36 inches 1 mile 1,760 yards 5,280 feet 1 acre 43,560 square feet 1 hour 60 minutes 1 minute 60 seconds

1 cup 8 fluid ounces 1 pint 2 cups 1 quart 2 pints 1 gallon 4 quarts

1 liter 1000 milliliters 1000 cubic centimeters 1 meter 100 centimeters 1000 millimeters 1 kilometer 1000 meters 1 gram 1000 milligrams 1 kilogram 1000 grams

1 pound 16 ounces 1 ton 2,000 pounds

Equation of a Line Slope-Intercept Form: y mx  b

Pythagorean Theorem

E L P N M O I A T S A C U D E ! Y RALL 99.RALLY . 8 8 8 c

where m slope and b y-intercept

a

a2  b2 c2

b

STER. . A M E ACKLIN IN ANY WAY L B A T UCEDFormulas S NOTemperature I D Slope of a Line T O I R . GHTED TO BE REP I R Y P CO OOK 5 S I B K S I O in the plane. Let (x1, y1) and (x2, y2) be two points H

C (F  32) PLE BO IVEN FOR T M A 9 S y y change in yTHIS 2  1 NOT G slope where x ≠ x 5 S I 2 1 Nx O

Celsius  ( Fahrenheit  32) change in x IS I x S  2 1 9 PERM 9 5

F C  32 Distance Formula

9 5

Fahrenheit  Celsius  32

d rt distance rate  time

60

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Mathematics On Your Own • Level H

Ruler

17 16

1

10

3

11

12

2

13

14

15

Inches

18

Cut along the dotted line.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

6

7

4

8

9

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

6 7

1 2 3 Centimeters

4

5

5

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61


Mathematics On Your Own • Level H

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

62

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Mathematics On Your Own • Level H

Answer Key

Answer Key Cut along the dotted line.

Cut along the dotted line to remove this section.

RALLY!’s Math Strands 1: Numbers & Operations 2: Patterns & Fuctions 3: Algebra 4: Geometry 5: Measurement 6: Data Analysis

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

7: Probability & Uncertainty

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

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63


Answer Key

Mathematics On Your Own • Level H

Answer Key – Part 1 Correct Answer

Sample 1

C

1 Numbers & Operations

Sample 2

72

5 Measurement

1

A

1 Numbers & Operations

2

A

1 Numbers & Operations

3

D

1 Numbers & Operations

4

B

2 Patterns & Functions, 3 Algebra

5

B

2 Patterns & Functions, 3 Algebra

6

C

7

D

8

C

9

C

10

D

11

B

12

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 2 Patterns & Functions, 3 Algebra 4 Geometry

1 Numbers & Operations 1 Numbers & Operations

2 Patterns & Functions, 3 Algebra 1 Numbers & Operations

STER. . A M E ACKLIN IN ANY WAY L B B 1 Numbers & Operations A S NOT PRODUCED I T I B 2 Patterns & Functions, 3 Algebra . GHTED TO BE RE I R Y P B 4 Geometry CO OOK S I B K S I O H O A MPLE B4 Geometry FOR T N E A V S I TG THIS C IS N1ONumbers & Operations N O I S S I 2 Patterns & Functions, 3 Algebra PERM C 121

1 Numbers & Operations

19

D

1 Numbers & Operations

20

A

4 Geometry

21

D

6 Data Analysis, 7 Probability

22

13

1 Numbers & Operations

23

C

6 Data Analysis, 7 Probability

24

B

2 Patterns & Functions, 3 Algebra

25

5.25

13 14 15 16 17 18

64

RALLY!s Math Strand

1 Numbers & Operations

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Cut along the dotted line.

Question


Mathematics On Your Own • Level H

Cut along the dotted line.

Question

Correct Answer

26

B

4 Geometry

27

C

2 Patterns & Functions, 3 Algebra

28

42

2 Patterns & Functions, 3 Algebra

29

C

1–7 All

30

A

2 Patterns & Functions, 3 Algebra

31

A

2 Patterns & Functions, 3 Algebra

32

B

1–7 All

33

D

34

A

35

64.5

36

C

37

D

Answer Key

RALLY!s Math Strand

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 2 Patterns & Functions, 3 Algebra

2 Patterns & Functions, 3 Algebra

6 Data Analysis, 7 Probability

2 Patterns & Functions, 3 Algebra 1 Numbers & Operations

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

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65


Answer Key

Mathematics On Your Own • Level H

Answer Key – Part 2 Correct Answer

1

6

2 Patterns & Functions, 3 Algebra

2

A

5 Measurement

3

C

6 Data Analysis, 7 Probability

4

B

1 Numbers & Operations

5

B

4 Geometry

6

A

2 Patterns & Functions, 3 Algebra

7

C

5 Measurement

8

A

9

D

10

B

11

2

12

C

13

B

14

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 6 Data Analysis, 7 Probability 6 Data Analysis, 7 Probability 1 Numbers & Operations 1–7 All

2 Patterns & Functions, 3 Algebra 1 Numbers & Operations

STER. . A M E ACKLIN IN ANY WAY L B C 2 Patterns & Functions, 3 Algebra A S NOT PRODUCED I T I B 1 Numbers & Operations . GHTED TO BE RE I R Y P C 4 Geometry CO OOK S I B K S I O H O T B MPLE B1–7 All N FOR E A V S I TG THIS D IS N5OMeasurement N ISSIO 5 Measurement PERM D 45

5 Measurement

21

C

6 Data Analysis, 7 Probability

22

B

6 Data Analysis, 7 Probability

23

A

5 Measurement

24

B

6 Data Analysis, 7 Probability

25

C

5 Measurement

15 16 17 18 19 20

66

RALLY!s Math Strand

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Cut along the dotted line.

Question


Mathematics On Your Own • Level H

Cut along the dotted line.

Question

Correct Answer

26

B

5 Measurement

27

A

1 Numbers & Operations

28

B

4 Geometry

29

B

1 Numbers & Operations

30

D

1 Numbers & Operations

31

27

6 Data Analysis, 7 Probability

32

B

5 Measurement

33

B

34

C

35

B

36

C

37

A

Answer Key

RALLY!s Math Strand

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 1 Numbers & Operations 5 Measurement

2 Patterns & Functions, 3 Algebra 6 Data Analysis, 7 Probability 5 Measurement

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

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67


Answer Key

Mathematics On Your Own • Level H

Answer Key – Part 3

3-POINT QUESTIONS

2-POINT QUESTIONS

3 points

Exemplary response

2 points

Exemplary response

2 points

Two correct components

1 point

One correct component

1 point

One correct component

0 points

Other

0 points

Other

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Question 1 Full credit: 3 points Answer:

x 23 22 21 0 1 2 3

y 9 4 1 0 1 4 9

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM y

10 9 8 7 6 5

y 5 x2

4 3 2 1

-10 -9

-8

-7

-6

-5

-4

-3

-2

-1

0

1

2

3

4

5

6

7

8

9

10

x

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

RALLY! Skills: 2 Patterns & Functions, 3 Algebra

68

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Cut along the dotted line.

All of the questions in Part 3 are open-ended. Students can earn up to 2 or 3 points for full credit, depending upon the number of components within the question and its complexity. Use the rubrics below to determine students’ scores for each question.


Mathematics On Your Own • Level H

Answer Key

Question 2 Full credit: 2 points Answer: Cut along the dotted line.

Patrick’s Math Quiz Scores Stem

Leaf

7 9 0 1 2 5 8 2 3 7

2 3 4

RALLY! Skills: 6 Data Analysis, 7 Probability

Question 3 Full credit: 2 points

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Answer: 9.1  107 square kilometers

RALLY! Skill: 1 Numbers & Operations

Question 4

STER. . A M E y ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE 3 I R Y P CO OOK S I B K S I 2 O H PLE BO IVEN FOR T M A S THIS 1 IS NOT G x IS-1SIO0N 1 2 3 M -3ER-2 P B9 A9 B C

Full credit: 2 points Answer:

-1

-2 A

-3 D

C9 D9

RALLY! Skill: 4 Geometry

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69


Answer Key

Mathematics On Your Own • Level H

Question 5 Full credit: 2 points Answer:

The survey of the first 50 students who arrive at school in the morning is less likely to be biased. This is a more random sample and is likely to be more representative of the students at Henry’s school. RALLY! Skills: 6 Data Analysis, 7 Probability

Question 6 Full credit: 2 points Answer:

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

1 3[18  23  (9  )] 3 3[18  23  27] 3[18  8  27] 3[53] 159

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

RALLY! Skill: 1 Numbers & Operations

70

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Cut along the dotted line.

The first 50 students arriving at the basketball game are not likely to be a representative sample of the students at Henry’s school. It is likely that students who like watching basketball will be over-represented. This results in a biased sample.


Mathematics On Your Own • Level H

Answer Key

Question 7 Full credit: 2 points Answer:

Any trapezoid with an area of 8 square units.

Cut along the dotted line.

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

-8

x

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 -7

-6

-5

-4

-3

-2

-1

0

1

2

3

4

5

6

7

8

9

10

-1

-2

-3

-4

-5

-6

-7

-8

STER. . A M E ACKLIN IN ANY WAY L B A NOT UCED S I D T O I R . RALLY! Skills: 1–7 All GHTED TO BE REP I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM -9

-10

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71


Answer Key

Mathematics On Your Own • Level H

Answer Key – Part 4

3-POINT QUESTIONS

2-POINT QUESTIONS

3 points

Exemplary response

2 points

Exemplary response

2 points

Two correct components

1 point

One correct component

1 point

One correct component

0 points

Other

0 points

Other

Question 1 Full credit: 3 points

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Answer: Perimeter = 68 feet Perimeter less window and door 68  4  7 57 feet Cost for 57 feet of wallpaper border 57  $0.75 $42.75

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED Question 2 I T I . GHTED TO BE RE Full credit: 2 points I R Y P CO OOK S I B Answer: x 2, y 4 K S I O H E BO FOR T PLFunctions, N M E A V S I RALLY! Skills: 2 H Patterns & 3 Algebra T IS NOT G S I N ISSIO PERM RALLY! Skills: 1–7 All

Question 3

Full credit: 2 points Answer: 9.5a  6c 74 4 adults RALLY! Skills: 1–7 All

72

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Cut along the dotted line.

All of the questions in Part 4 are open-ended. Students can earn up to 2 or 3 points for full credit, depending upon the number of components within the question and its complexity. Use the rubrics below to determine students’ scores for each question.


Mathematics On Your Own • Level H

Answer Key

Question 4 Full credit: 3 points Cut along the dotted line.

Answer: Height 8 centimeters Area 48 square centimeters RALLY! Skills: 1–7 All

Question 5 Full credit: 2 points Answer: $720 RALLY! Skill: 1 Numbers & Operations

Question 6 Full credit: 2 points

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Answer: 527.52 square centimeters RALLY! Skill: 5 Measurement

STER. . A M E Question 7 ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I Full credit: 2 points . GHTED TO BE RE I R Y P O Cminutes Answer: 215 minutes  195 minutes I20 OOK S B K S I O H PLE BO IVEN FOR T M RALLY! Skill: 5 Measurement A S THIS NOT G S I N ISSIO PERM

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73


Answer Key

Mathematics On Your Own • Level H

Total Your Score - Part 1 Correct Answer

1

Points Possible

Question

Correct Answer

A

1

21

D

1

2

A

1

22

13

1

3

D

1

23

C

1

4

B

1

24

B

1

5

B

1

25

5.25

1

6

C

1

26

B

1

7

D

8

C

9

C

10

D

11

B

12

121

13 14 15 16 17 18 19 20

74

Your Score

Your Score

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Points Possible

1

27

C

1

1

28

42

1

1

29

C

1

1

30

A

1

1

31

A

1

1

32

B

1

STER1. . A M E Y IN B 1 34 ABLACKL 1WA Y N A A N UCED I S NOT 64.5 I B 1 35 1 D T O I R . P D E E T R H E G A 1 OPYRI 36 1 K TO B C O C O S I B K S I O H C 37 D 1 PLE BO IV1EN FOR T M A S THCIS NOT G 1 S I N Your Total Score 31 IO DISS 1 M R E P B

A

1

33

D

1

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Cut along the dotted line.

Question


Mathematics On Your Own • Level H

Answer Key

Total Your Score - Part 2 Cut along the dotted line.

Question

Correct Answer

1

Points Possible

Question

Correct Answer

6

1

21

C

1

2

A

1

22

B

1

3

C

1

23

A

1

4

B

1

24

B

1

5

B

1

25

C

1

6

A

1

26

B

1

7

C

8

A

9

D

10

B

11

2

12

C

13 14 15 16 17 18 19 20

Your Score

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Your Score

Points Possible

1

27

A

1

1

28

B

1

1

29

B

1

1

30

D

1

1

31

27

1

1

32

B

1

STE1R. . A M E Y IN 45 1 34 C BLACKL 1Y WA N A A N I S NOT B PRODUCED I C 1 35 1 T I . D E E T R H E G B 1 36 K TO B C 1 PYRI O O C O S I B K S I O H C 37 A 1 PLE BO 1IVEN FOR T M A S TBHIS NOT G1 S I N Your Total Score 31 IO DMISS 1 R E P B

D

1

33

B

1

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75


Answer Key

Mathematics On Your Own • Level H

Total Your Score - Part 3 Your Score

Points Possible

1

3

2

2

3

2

4

2

5

2

6

2

E L P SAM ATION C U D E ! Y L L Y L A L R A Total Your Score - Part 4 9.R 9 . 8 8 8 7

Your Total Score

2

15

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . ED BE RE Question Your Points YRIGHT O T P K Score Possible K IS CO R THIS BOO O O B AMPLE T GIV3EN FO S S 1 I H T IS NO N O I S 2 2 IS PERM 3

2

4

3

5

2

6

2

7

2

Your Total Score

76

16

© RALLY! EDUCATION. NO PART OF THIS DOCUMENT MAY BE REPRODUCED WITHOUT WRITTEN PERMISSION OF THE PUBLISHER.

Cut along the dotted line.

Question


Mathematics On Your Own • Level H

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

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77


Mathematics On Your Own • Level H

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

78

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Mathematics On Your Own • Level H

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

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79


Mathematics On Your Own • Level H

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM

80

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E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED TO BE RE I R Y P CO OOK S I B K S I O H PLE BO IVEN FOR T M A S THIS NOT G S I N ISSIO PERM


MATHEMATICS

On Your Own Mathematics On Your Own gives you problem-solving activities to reinforce your math skills. Parts 1 & 2: Mathematical Problems with Multiple-Choice Questions • Focus on Problem-Solving • Stamina Builder

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Each multiple-choice problem is worth 1 point. Parts 3 & 4: Open-Ended Math Problems

• Higher-Level Short-Response .and TER SProblems A M Extended-Response Math E AY. LIN

BLACK D IN ANY W A T O E IT IS N REPRODUC . D E T YRIGH OOK TO BE P O C OK IS OR THIS B O B E L EN F AMP V S I G S I T H T IS NO N O I S IS PERM


Math on your own h sample[1]