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01

:KLFK�RI�WKH�IROORZLQJ�LV�HTXDO�WR�WKH�YDOXH�RI� 25 + 25 + 35 + 35+ 35 ?

A 56

B 135

C 26 + 36

D 27 + 38

E 45 + 95

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02

If 521 × 411 = 2 × 10n what is the value of n?

A 11

B 21

C 22

D 23

E 32


03

$�VPDOO�ZDWHU�SXPS�ZRXOG�WDNH��KRXUV�WR�¿OO�DQ�HPSW\�WDQN��$�ODUJHU�SXPS�ZRXOG�WDNH�ò�KRXU�WR�¿OO�WKH�VDPH�WDQN��+RZ�many hours will it take both pumps, working at their respective FRQVWDQW�UDWHV��WR�¿OO�WKH�HPSW\�WDQN��LI�WKH\�EHJDQ�SXPSLQJ�DW�the same time?

A 1 4

B 1 3

C 2 5

D 5 4

E 3 2

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04

2 + 2 + 22 + 23+ 24 + 25 + 26 + 27 + 28 =

A 29

B 210

C 216

D 235

E 237


05

Machines X and Y produce bottles at their respective constant rates. Machine X produces k bottles in 6 hours and machine Y produces k bottles in 2 hours. How many hours does it take machines X and Y, working simultaneously, to produce 12k bottles ?

A 8

B 12

C 15

D 18

E 24

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06

(82) (33) 24) 962

A 3

B 6

C 9

D 12

E 18


07

,Q�WKH�¿JXUH�EHORZ��WKH�UDGLXV�RI�WKH�FLUFOH�with center O is 1 and BC = 1. What is the area of the triangular region ABC?

$� ¥��»��

%� ¥��»��

C 1

'� ¥�

(� ¥�

A

B

CO

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08

In a class of 30 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 10 students each borrowed 2 books, and the rest of the students each borrowed at least 3 books. If the average (arithmetic mean) number of books borrowed per student was 2, what was the maximum number of books that any single student could have borrowed?

A 3

B 5

C 8

D 13

E 15


09

What is the sum of the different positive prime factors of 550?

A 10

B 11

C 15

D 16

E 18

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10

)RU�DOO�QXPEHUV�[�VXFK�WKDW�[��LI�J�[��LV�GH¿QHG�E\� g(x) = x2 + 2, then 1 1 x - 1 g(2) g(x)

A 6(x - 1) x2 + 2

B 6(x2+ 2) x - 1

C x2 + 2 2(x - 1)

D (x - 1) 6(x2 + 2)

E x2 + 2 6(x - 1)

( ) ( ) =


11

10012 - 9992 1012 - 992

A 10

B 20

C 40

D 80

E 100

=

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12

What is the greatest prime factor of 417 - 228 ?

A 2

B 3

C 5

D 7

E 11

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13

If 2x - 2x-2 = 3(213), what is the value of x ?

A 9

B 11

C 13

D 15

E 17


14

A 30

B 20

C 18

D 12

E 6

The residents of Town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and a standard deviation of 6 hours. The number of hours Pat, a resident of Town X, watched television last week was between 1 and 2 standard deviations below the mean. Which of the following could be the number of hours that Pat watched television last week?

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15

If a certain sample of data has a mean of 20.0 and a standard deviation of 3.0. which of the following values is more than 2.5 standard deviations from the mean ?

A 12.0

B 13.5

C 17.0

D 23.5

E 26.5


16

If (2x)(3y) = 288, where x and y are positive integers, then (2x-1)(3y-2) =

A 16

B 24

C 48

D 96

E 144

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17

7KH�DUHD�RI�D�VTXDUH�JDUGHQ�LV�$�VTXDUH�IHHW�DQG�WKH�SHULPHWHU�is P feet. If A = 2P + 9, what is the perimeter of the garden, in feet ?

A 28

B 36

C 40

D 56

E 64


18

,I�WKH�RSHUDWLRQ�͞��LV�GH¿QHG�IRU�DOO�SRVLWLYH�LQWHJHUV�[�DQG�Z�E\�[�͞�Z� ��x ��WKHQ��͞��͞�� 2w

A 2

B 4

C 8

D 16

E 32

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19

The lunch menu at a certain restaurant contains 4 different entrees and 5 different side dishes. If a meal consists of 1 entree and 2 different side dishes, how many different meal combinations could be chosen from this menu?

A 10

B 20

C 40

D 80

E 100


20

2(4-1)2 = 23-2

A 28

B 27

C 26

D 25

E 24

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21

In the addition table shown above, what is the value of m + n ?

A -19

B 4

C 5

D 6

E 22

+ x y z4 1 -5 me 7 n 10f 2 -4 5


22

,Q�WKH�DULWKPHWLF�VHTXHQFH�W1, t2, t3, .........., tn, ......., t1 = 23 and tn = tn-1 - 3 for each n > 1. What is the value of n when tn = -4?

A -1

B 7

C 10

D 14

E 20

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23

3 teaspoons = 1 tablespoon

4 tablespoons = ¼ cup

According to the information above, how many teaspoons are HTXDO�WR�Ǫ�FXS"

A 3

B 4

C 9

D 12

E 18


24

If two sides of a triangle have lengths 2 and 5, which of the following could be the perimeter of the triangle?

I. 9II. 15III. 19

A None

B I only

C II only

D II and III only

E I, II, and III

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25

7KH�¿JXUH�VKRZQ�UHSUHVHQWV�D�SLHFH�RI�ODQG�WKDW�LV�WKH�VKDSH�RI�D�TXDUWHU�FLUFOH��,I�WKH�ODQG�LV�HQFORVHG�E\�D�IHQFH��ZKLFK�RI�the following is closest to the length, in feet, of the fence?

A 278

B 341

C 357

D 400

E 441

100 ft

100 ft


26

For which of the following functions is f(a + b) = f(a) + f(b) for all positive numbers a and b?

A f(x) = x2

B f(x) = x + 1

&� I�[�� ¥[

D f(x) = 2 x

E f(x) = -3x

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27

A 4-person task force is to be formed from the 4 men and 3 women who work in Company G’s human resource department. If there are to be 2 men and 2 women on the task force, how many different task forces can be formed?

A 14

B 18

C 35

D 56

E 144


28

,Q�WKH�¿JXUH�DERYH��SRLQWV�3�DQG�4�OLH�RQ�WKH�FLUFOH�ZLWK�FHQWHU�O. What is the value of s?

A 1 2

B 1

&� ¥�

'� ¥�

E ¥2 2

o x

y

Q(s,t)P(-¥3,1

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29

7KH�SHULPHWHUV�RI�VTXDUH�UHJLRQ�6�DQG�UHFWDQJXODU�UHJLRQ�5�DUH�HTXDO��,I�WKH�VLGHV�RI�5�DUH�LQ�WKH�UDWLR��ZKDW�LV�WKH�UDWLR�RI�WKH�DUHD�RI�UHJLRQ�5�WR�WKH�DUHD�RI�UHJLRQ�6�"

$� ��

%� ��

&� ��

'� ��

(� ��

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30

1. C2. B3. C4. A5. D6. A7. B8. D9. E10. D11. A12. D13. D14. D15. A

ANSWER KEY

16. A17. B18. A19. C20. D21. C22. C23. E24. A25. C26. E27. B28. B29. B

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