1. If it is now June what month will it be 100 months from now?

    January

    April

    June

    October

2. In the figure below, what is the value of a?

    10

    20

    28

    36

3. The Rivertown Little League is divided into d divisions. Each division has t teams, and each team hasp players. How many players are there in the entire league?

    d + t + p

    dtp

    pt/d

    dt/d

4. At the Fancy Furniture Factory, Brian bought two chairs for $299 each and a coffee table for $140. He paid 1/6th. of the total cost at the time of purchase and the balance in 12 equal monthly installments. What was the amount of each month's payment?

    $10.25

    $37.50

    $42.75

    $51.25

5.

    4

    5

    6

    7

6. In the figure below, what is the value of a + b + c?

    210

    220

    240

    270

7.

    11**5

    4**9

    4**16

    7**4

8. The chart below shows the number of tennis tournaments that Adam entered each year from 1990 through 1995. In what year did he enter 50% more tournaments than the year before?

    1991

    1992

    1993

    1994

9. If, for any number b,b# = b+ 1 and #b = b - 1, which of the following is NOT equal to (3#)(#5)?

    (1#)(#9)

    7# + #9

    (4#)(#4)

    (7#)(#3)

10. If a is a multiple of 5 and b = 5a, which of the following could be the value of a + bl
I. 60
II. 100
III. 150

    I only

    III only

    I and III only

    II and III only

11.

    2h/5

    5h/2

    h-2/5

    2/5h

12.

    3^ac

    3^a+c

    6^a+c

    9^ac

13. If r and s are two nonzero numbers and if 78(r + s) = (78 + r)s, then which of the following MUST be true?

    r = 78

    s = 78

    r + s = rs

    r < 1

14. If the average (arithmetic mean) of three consecutive integers is Ay which of the following must be true?
I. One of the numbers is equal to A.
II. The average of two of the three numbers is A.
III. A is an integer.

    I only

    II only

    I and II only

    I, II, and III

15. A bag contains 25 slips of paper, on each of which a different integer from 1 to 25 is written. Blindfolded, Scott draws one of the slips of paper. He wins if the number on the slip he draws is a multiple of 3 or 5. What is the probability that Scott wins

    1/25

    8/25

    11/25

    12/25

16.

    Root over 17 - 1

    Root over 17 +1

    16

    18

17.

    6

    10

    12

    15

18. Which of the following points lies in the interior of the circle whose radius is 10 and whose center is at the origin?

    (-9.4)

    (5,-9)

    (0,-10)

    (10,-1)

19. Assume that p, q, and r are positive integers satisfying the following conditions: (i) p > q > r, (ii) p, q, and r are all primes; (iii)p-q= r. This information is sufficient to determine the value of which integer or integers?

    none of them

    p only

    q only

    r only

20. If p pencils cost c cents, how many pencils can be bought for d dollars?

    cdp

    100cdp

    dp/100c

    100dp/c

21. If a is increased by 10% and b is decreased by 10%, the resulting numbers will be equal. What is the ratio of a to A?

    9/11

    9/10

    1/1

    10/9

22. In the figure below, line segments AF and CF partition pentagon ABCDE into a rectangle and two triangles. For which of the following can the value be determined?
I. a + b
II. b + c
III.a + b + c + d

    II only

    I and II only

    II and III only

    I and III only

23. Which of the following CANNOT be expressed as the sum of two or more consecutive positive integers?

    17

    32

    22

    24

24. The figure below consists of four semicircles in a large semicircle. If the small semicircles have radii of 1, 2, 3, and 4, what is the perimeter of the shaded region?

    10~ (~ = pie or 22/7)

    20 ~ (~ = pie or 22/7)

    40 ~ (~ = pie or 22/7)

    60 ~ (~ = pie or 22/7)

25. In the figure below, the legs of right triangle ACB are diameters of the two semicircles. If AS = 4 what is the sum of the areas of the semicircles?

    ~ (~=pie+22/7)

    2 ~ (~=pie+22/7)

    4 ~ (~=pie+22/7)

    8 ~ (~=pie+22/7)