Free Printable Sat Math Test From 5 Sat Math Practice Tests

7/28/2019 Free Printable Sat Math Test From 5 Sat Math Practice Tests

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5 SAT Math

Practice Tests

Paul G. Simpson IV

with the staff of www.testprofessors.com


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Copyright 2010 by Paul G. Simpson IV.

All rights reserved.No part of this book may be reproduced in any form by photostat, microfilm, xerography,or any other means, or incorporated into any information retrieval system, electronic ormechanical, without the written permission of the copyright owner.

All inquiries should be addressed to:www.testprofessors.com

ISBN 978-0-9796786-1-5

Printed in the United States of America

* SAT is a registered trademark of the CollegeEntrance Examination Board, which was notinvolved in the production of and does notendorse this book.


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SAT MATH

PRACTICE TEST 1


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1 1 www.testprofessors.com 1

Time-25 Minutes20 Questions

1. If the median of a set of five consecutiveintegers is equal to 13, then what is the value ofthe largest of these five integers?

(A) 11(B) 13(C) 15(D) 17(E) 19

2. Ifx x x 4 3 1 3 , then what is the valueofx ?

(A) 1(B) 2(C) 3(D) 4(E) 5

3. If the probability of selecting a red marble is

1 3 and the probability of selecting a bluemarble is 2 3, what is the ratio of blue marblesto red marbles?

(A) 1:2(B) 3:2(C) 2:1(D) 2:3(E) 3:1

4. What is the value of the sum of the externaangles of a triangle subtracted from the sum the external angles of a pentagon?

(A) 0(B) 30(C) 90(D) 180(E) 360

5. The ratio of a rectangles length to the lengof a squares side is 3:1. If the area of thesquare is 36, and the rectangles width is 2,what is the area of the rectangle?

(A) 24(B) 36(C) 72(D) 108(E) 216

6. Given that | m 2 | = 7 and | n 3 | = 6,where m < 0 and n < 0, what is the value ofm

(A) 6(B) 15(C) 21(D) 42(E) 81

From"5SAT

MathPractice

Tests"


7/19

1 1 www.testprofessors.com 1 1

7. The average ofa, b, and c is 27. If the valueofdis 19, what is the average ofa, b, c, and d?

(A) 7(B) 11(C) 25(D) 28(E) 46

8. If 4b

aand 15b , then what is the value

of ab5 ?(A) 30(B) 60(C) 300(D) 900(E) 4500

9.Nancy can make 5 bags per hour. Sue can

make 6 bags per hour, and Ned can make 12bags per hour. If Nancy and Sue make bagstogether for one hour, and then Ned joins them,how many minutes will it take them to make126 bags?

(A) 60(B) 115(C) 227(D) 300(E) 360

10. A store determines the retail price of a DVDplayer by marking up its wholesale price by 60percent. After a 25 percent discount off the

DVD players retail price, the DVD player costs$162. What is the wholesale price of the DVDplayer?

(A) 54(B) 81(C) 135(D) 216(E) 324

11. If | -3x | + 4y-1 = 6z+ 4x, what is the valueofx in terms ofy and z?

(A) (y/ 4 )6z(B) (4/y) 6z(C) 4 (6z/y)(D) (4/7y) + ( 6z/7)(E) (7/4y) + 6z

12. If a segment with a slope of two passesthrough points (2, 6) and (-2, -y), what is thevalue ofy2?

(A) 0(B) 2(C) 4(D) 8(E) 16

From"5SAT

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13.

In the figure above, ray sbegins at the originand passes through point (-3, 2). Which of thefollowing is not a possible value of the slope ofline t?

(A)8

1

(B)5

2

(C)2

1

(D)5

3

(E)4

3

14. Bob buys s socks from the store each week.If each sock costs c cents, and he buys the samenumber of socks each day, what equation showshow many cents Bob spends on socks per dayin terms ofs and c?

(A) sc(B) sc(s 7)(C) sc 7(D) (sc)/7(E) 7/(sc)

15. m, n, and p are three consecutive positiveodd integers such that m < n < p. If their sum45, what is the value ofmp?

(A) 30(B) 90(C) 195(D) 221(E) 224

16. If2

3

2

c

ba and b = 24, then what is the

value ofc in terms ofa?

(A) 4/a(B) a2/16

(C) (a) / 4(D) (4a) /a2

(E) (4a) / a

17. Ifx is inversely proportional to y-1 and xwhen y-1 = 4t, then what is the value ofy interms oftwhen x = 4s?

(A) t 16(B) t 4(C) 1 t(D) t(E) 16t

18. Jordan is now four times older than GracIn 30 years, he will be 18 years older thanGrace. What is Jordans age now?

(A) 10(B) 12(C) 20(D) 24(E) 48

From"5SAT

MathPractice

Tests"


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19. Ifu is inversely proportional to v1/2 andu = -5 when v1/2 = 3-1, then what is the value ofv when u = -1?

(A) 1/12(B) 1/25(C) 5/6(D) 5/3(E) 25/9

20. Max decides to carve out a cylinder in awooden cube. The cube has a side length of 6cm, and the cylinder has a radius of 2 cm. What

is the surface area of the cube after the cylinderhas been carved out?

(A) 2421 6 (B) 16216 (C) 24144 (D) 16216 (E) 3618

SECTION END

From"5SAT

MathPractice

Tests"


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Time: 20 Minutes16 Questions

1. It takes 6 seconds of pulling a lever to raise apump to 24 feet. At this rate, how high is thepump after the lever is pulled for 2 seconds?

(A) 3(B) 4(C) 8(D) 12(E) 18

2. What is the value of 23 )4()3( ?

(A) -25(B) -11(C) 0(D) 7(E) 11

3. In the xy-plane, segment DE passes throughpoints (2, 4) and (-4, 8). What is the midpoint of

segment DE?

(A) (-6, 4)(B) (-2, 12)(C) (-1, 6)(D) (5, 5)(E) (6, 4)

4.

If the area of rectangle ABCD is 24, andED = 34 , then what is the length of AB?

(A) 2(B) 3

(C) 4(D) 6(E) 8

5. Ifa is an odd integer and b is an even intewhich of the following must be an odd intege

I. ab + 1II. 2a + 2bIII. 3(ab)

(A) I only(B) II only(C) I and III(D) II and III(E) None of the Above

From"5SAT

MathPractice

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6. Iff(x) = -4x (3x 8), what is the value off(2)?

(A) - 14

(B) - 12(C) - 10(D)-8(E) -6

7. Ifa, b, and c are positive consecutive evenintegers and c > b > a, what is the value ofb2 interms ofa?

(A) a2 + 1(B) (a 1)2

(C) (a + 2)2

(D) a2 + 4(E) (a + 1)2

8. If 3x + 2, 2x 10, and x 1 are integers, andx + 3 is the average of these numbers, then

which of the following is a possible value ofx?(A) 2(B) 5(C) 6(D) 8(E) 9

9. Trent walked from Johns house three milesdue north then four miles due east, while Johnwalked six miles due south and eight miles duewest. If John were to walk directly to Trents

location, how many hours would it take him ifJohn walks at a rate of three miles per hour?

(A) 4(B) 5(C) 10(D) 14(E) 15

10.

In the figure above, if segment BD bisectssegment CA, what is the area of triangle CED?

(A) 6(B) 9(C) 12(D) 18(E) 36

11. Ifk= m2n2, kis not 0, and the values ofmand n are doubled, then the value ofkincreasesby which of the following factors?

(A) 0(B) 2(C) 4(D) 8(E) 16

From"5SAT

MathPractice

Tests"


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12.

The graph above represents y = f(x). Iff(x) = 0, what is the sum of all the values ofx?

(A) -3(B) -2(C) -1(D) 1(E) 2

13. If 4c2 16e2 = | (-8d)2 |, then what is thevalue ofc2 in terms ofdand e?

(A) 16d2 + 4e2(B) 2(2d+e)(C) 4(d+e)(D) 64d2 + 16e2

(E) 16d2e2

14. If exactly three triangles are used toconstruct a rectangle, what is the minimumnumber of right triangles that can be used in therectangles construction?

(A) 0(B) 1(C) 2(D) 4(E) 6

15.

18, 42,

In the sequence above, each term after the firterm, 18, is thirty less than four times thepreceding term. What is the sum of the unitsdigits of the first 12 terms?

(A) 2(B) 8(C) 9(D) 60(E) 77

16.

The graph above has a function ofb. Which the following has the approximate value ofb(2)?

(A) 0.5(B) 0.9(C) 1(D) 1.5(E) 1.9

From"5SAT

MathPractice

Tests"


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Time-25 Minutes18 Questions

1. The smallest integer of a set of consecutiveintegers is -13. If the sum of the integers is 14,what is the total number of integers in the set?

(A) 24(B) 25(C) 26(D) 28(E) 32

2. Ifw is a positive integer and w2 = w3, thenwhich of the following is a possible value ofw?

(A) -10(B) -2(C) -1(D) 1(E) 2

3. Ifp and q are both even integers and ris an

odd integer, which of the following expressionswill not result in an answer that is even?

(A) pr+ q2

(B) q(p + r)p

(C) (rq)2 p(D) (p r)q

(E) r(pr) q

4.

In the number line above, which point bestapproximates the value of (k m)2?

(A) point k(B) point l(C) point m(D) point n

(E) point o

5. Ifp and q are consecutive negative evenintegers whose sum is -120, and q < p, what isthe value of | q p |?

(A) -4(B) -2(C) 0

(D) 2(E) 4

From"5SAT

MathPractice

Tests"


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6. In a sequence, the first term is -3. Each termafter the first term is four less than two timesthe preceding term. Which term is the first one

that has an absolute value greater than 200?

(A) 3(B) 6(C) 9(D) 12(E) none

7. If22

xxxxx , and x > 0, whatis the value ofx?

(A) 1/2(B) 0(C) 1(D) 1.5(E) 2

8. Ifs2 = t-1 and t1/4 = u-1/3, then what is thevalue ofs in terms ofu?

(A) u-2/3

(B) u-1/3

(C) u1/6

(D) u1/3

(E) u2/3

9. If the average ofw and x is 30, the average ofp and q is 30, and the average ofm and n is 30,what is the average ofw, x, p, q, m, and n?

10. Ifp

q

x

y 2 , then what is the value of

in terms ofx

andy

?

11. Ify + z= 18 and 40 percent of 75 percentp is the average ofy and z, what is the value

p?

12. I f - | -f| = 3h 12 and h1/2 = m-1/2, what isthe value offin terms ofm?

13. If 30 percent of 50 percent ofx is 60 percofy minus 75 percent ofy, then what is the

value ofx

in terms ofy

?

From"5SAT

MathPractice

Tests"


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14. a and b are positive consecutive integersand b > a. When b is seven more than a ,what is the greatest possible value ofa?

15. If the graphs ofy = 3x2 15 and y = -4x + pintersect at point (3, r), then what is the value of

rp ?

16. Ifxy = 3y 2(x + y), what is 24?

17. Ifx and y2 are directly proportional andx = 6 when y2 = 8, then what is the value ofy-2

when x = 2?

18. The function f(x) = x2 + x 24 and h(t) = x2.If 3h(t) = f(2x), what is one possible value of x?

TEST END

From"5SAT

MathPractice

Tests"


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www.testprofessors.com Practice Te

Practice Test 1Answer Key and Explanations

From"5SAT

MathPractice

Tests"


17/19

www.testprofessors.com Practice Test 1 Answer Key

Section 1

1. C2. A3. C4. A5. B6. B7. C8. E9. E10. C11. B

12. C13. E14. D15. D16. E17. C18. D19. E20. B

Section 2

1. C2. B3. C4. D5. C6. E7. C8. C9. B10. D11. E12. B13. A14. C15. D16. A

Section 3

1. D2. D3. E4. C5. D6. B7. C8. E9. 3010. y / (2y + x)11. 30

12. (123) / m or -3/m + 1213. -y14. 915. 216. 017. 3/8 or 0.37518. -6 or 4

From"5SAT

MathPractice

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www.testprofessors.com Practice Test 1 Scorin

Finding Your Score

Raw score: Total Number Right [Total Number Wrong 4] = _____

Notes: 1) For #9 - #18 in Section 3, only right answers are counted2) Omissions are not counted towards your raw score3) If the total number wrong 4 ends in .5 or .75, it is rounded up

Math Scoring Table

Raw

Score

Scaled

Score

Raw

Score

Scaled

Score

54 800 23 52053 800 22 51052 780 21 50051 770 20 49050 750 19 49049 730 18 48048 720 17 47047 710 16 46046 700 15 46045 690 14 45044 680 13 44043 670 12 420

42 660 11 41041 660 10 40040 650 9 40039 640 8 39038 630 7 38037 630 6 37036 620 5 35035 610 4 33034 600 3 32033 590 2 310

32 590 1 29031 580 0 27030 570 -1 25029 560 -2 24028 550 -3 23027 550 -4 22026 540 -5 21025 530 -6 20024 520 and below 200

From"5SAT

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Free Printable Sat Math Test From 5 Sat Math Practice Tests

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