1. Which of the following pairs are not equal?
(A) 25/5 5
(B) 1/5 5/25
(C) 11/5 2 1/5
(D) 19/2 9 1/2
(E) 15/5 151/51
2. The number 16777218 is divisible by
(A) 3
(B) 4
(C) 5
(D) 8
(E) 10
3. The product of 2.5 and .06 expressed as a fraction is
(A) 6/25
(B) 5/6
(C) 3/20
(D) 5/12
(E) 2/3
4. The greatest common factor of 12,18, and 24 is?
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10
5. Dividing a number by 9/3 is the same as multiplying by
(A) 3
(B) 6
(C) 1/3
(D) 1/6
(E) 1/9
6. What is .4 percent of 128?
(A) 51.2
(B) 5.12
(C) .512
(D) .0512
(E) .00512
7. What is 6.4 times 100 - 32 times 10?
(A) 520
(B) 320
(C) 660
(D) 620
(E) 608
8. An experimental test plane flew 21600 miles in twelve hours. What was
its average speed in miles per minute?
(A) 3
(B) 15
(C) 30
(D) 60
(E) 120
9. If the average of 100 numbers is 25, what is the sum of the numbers?
(A) 250
(B) 500
(C) 2500
(D) 5000
(E) 7500
10. The number 32 is 8% of what number?
(A) 16
(B) 48
(C) 200
(D) 400
(E) 1200
11. Sam sent out 2 dozen invitations to his 2nd grade birthday party.
Slightly more than half of the invitees responded. But some adults came
with their children. At the party, the ratio of adults to children was 1
to 2. The ratio of males to females was 3 to 4. There was less than 30
people at the party?
How many people were there at the party?
(A) 6
(B) 9
(C) 12
(D) 21
(E) 30
12. A dress is sold at a discount of 25%. The original price is $52.
What is the new price?
(A) $35
(B) $37
(C) $39
(D) $41
(E) $43
Examine the table below of annual stock prices.
1995 $100
1996 $110
1997 $120
1998 $130
1999 $140
2000 $150
2001 $160
The greatest % increase in price was between which years?
(A) 1995 and 1996
(B) 1996 and 1997
(C) 1997 and 1998
(D) 1998 and 1999
(E) 1999 and 2000
14. Find the sum of 1/3, 1/4, and 1/5.
(A) 3/12
(B) 3/20
(C) 47/60
(D) 41/60
(E) 37/60
15. The * means multiplication.
An approximation to .84 * .33 * .5 * .14
(A) .01
(B) .02
(C) .03
(D) .04
(E) .05
16. In a math class there are 30 students. There are 10 girls and 20 boys
in the class. A test was given to the class. The average grade of the
girls was 93. The average grade of the boys was 90. What was the average
grade of the class?
(A) 90
(B) 91
(C) 92
(D) 93
(E) 94
17. Let q be the name of some number. If the average of 2,4,6,8 and q is
6, then q is what number?
(A) 6
(B) 8
(C) 10
(D) 12
(E) 14
18. Yesterday sam bought $30 worth of apples at $6 per 2 dozen.
Today Mary bought $30 worth of apples at $7.50 per 3 dozen.
Mary bought more apples than Sam. How many more?
(A) 20
(B) 24
(C) 28
(D) 32
(E) 36
19. How many millimeters are in 25 centimeters? 36 milimeters is 3.6
centimeters.
(A) .25
(B) 2.5
(C) 25
(D) 250
(E) 2500
20. Which of the following are equal to 5/8?
I. .625
II. 62.5 %
III. 62.5/100
IV. 625/100
(A) IV
(B) I and II
(C) II and III
(D) I, II, and III
(E) I, II, and IV
21. Ivan weighed 6 tigers and 4 lions. The average weight of the tigers
was .28 tons, and the average weight of the lions was .25 tons.
What was the average of the ten weighings?
(A) .266 tons
(B) .267 tons
(C) .268 tons
(D) .269 tons
(E) .27 tons
22. Sam put $1200 in a special account that paid only simple interest.
Every 3 months the account manager mailed Sam a check for 2% of the amount
invested. Sam closed the account after 4 months. What total interest did
Sam receive?
(A> $3.20
(B) $24
(C) $32
(D) $48
(E) $240
23. Sam gave 15 of his paintings to the museum. These 15 paintings were
15% of all the painting hung in the special exhibition room this month.
How many paintings were hung in the special exhibition room this month?
(A) 60
(B) 64
(C) 75
(D) 95
(E) 100
24. Sam drove to his parents home at 60 mph. It took him 2 hours to make
the trip. On the way back, he drove more slowly. It took him 3 hours to
make the trip back home. What was his average speed on the round trip?
(A) 40 mph
(B) 45 mph
(C) 48 mph
(D) 50 mph
(E) 60 mph
25. Sam put $8 into the donation jar. Albert put in half as much as Sam.
Betty put in half as much as Albert. Calvin put in half as much as Betty.
Dan put in half as much as Calvin.
What was the total of the money put in by the 5 of them?
(A) $15.00
(B) $15.50
(C) $17.50
(D) $18.00
(E) $20.00
26. Sam wants to sell an old dictionary. He tries to sell it for $24.
No one buys it, so he lowers the price by a discount of 25%. But it still
does not sell. So he lowers the price by another discount of 25%
What is the new selling price?
(A) $12.00
(B) $13.00
(C) $13.50
(D) $14.00
(E) $14.25
27. Sam scored 88 on his first two exams. What must he score on his third
exam to bring his average exam grade up to 90?
(A) 92
(B) 93
(C) 94
(D) 95
(E) 96
28. Sam wanted to sell an expensive looking lamp. When it did not sell
immediately, he discounted the price by 10%. When it still did not sell
quickly, he discounted the price again by 20%. The new price is what
percent discount of the original price?
(A) 10%
(B) 15%
(C) 28%
(D) 30%
(E) 40%
29. In a large school 400 students are to be selected to go to the math
competition. The administration wants to make sure all races are well
represented. It is required that at least 30% of the students be Oriental,
and that at most 20% of the students be black.
Which of the following is an allowable quota of the black and oriental
students?
(A) 120 oriental and 130 black
(B) 130 oriental and 140 black
(C) 150 oriental and 70 black
(D) 20 oriental and 80 black
(E) 14 oriental and 100 black
30. 1/25 is what percent of 25?
(A) .016 %
(B) .16 %
(C) 1.6 %
(D) 16 %
(E) 160 %