1. 
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2. Determine 25% of
72
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3. Determine 72% of
25.
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4. Place a single
pair of parentheses to make this statement true:
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5.  Figures
I, II, and III are squares. The perimeter of I is 12 and the perimeter
of II is 24. The perimeter of III is
a. 9
b. 18
c. 36
d. 72
e. 81
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6. Which of
the following operations has the same effect on a number as multiplying by
3/4 and then dividing by 3/5?
a. dividing by
4/3
b. dividing by 9/20
c. multiplying by 9/20
d. dividing by 5/4
e. multiplying by 5/4
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7. The product of
the repeating decimals 0.3333... and 0.6666... is the repeating decimal 0.xxxx...
Find x.
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8. Find N, if
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9. A six story
apartment building has a single penthouse on the sixth floor. Each
floor has twice as many apartments as the floor above it. How many
apartments are on the first floor?
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10. An advertisement
from a CD club states that ten CDS can be bought for 1 cent. You are
ready to sign up when you notice the fine print. You will have to buy
one additional CD each month for the next year, at the rate of
$20 each. Determine which is a
better deal: the CD club offer or buying the same number of CDs at a store
for $11 each.
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11. 3! is defined to
be 3! = 3?2?1 = 6. 4! is defined to be 4! = 4?3?2?1 = 24.
Solve
for N: 6!7! = N!
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12. In the diagram,
the three small rectangles are congruent. Find the ratio of AB:AC.
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13. A school has
1200 students. Each student takes 5 classes a day. Each
teacher teaches 4 classes. Each class has 30 students and 1
teacher. How many teachers does the school have?
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14. A dart is thrown
at the square target shown. Assuming that the dart hits the target
randomly, what is the probability that it will be in the shaded region?
Express answer as a common fraction.
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15. Triangular
numbers can be represented in the following manner:
If the difference between
a pair of consecutive triangular numbers is eight (8), find the smaller of
these two triangular numbers.
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16. The top, the
front, and one end of a rectangular block have areas of 12, 6, and 8 square
centimeters respectively. What is the volume of the block?
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17. Wanda weighed
her four pot-bellied piglets in pairs. Together Oinker and
Squeaker weighed 110 pounds, Squeaker and Curly weighed 103 pounds, and Curly
and Porker totaled 108 pounds. How many pounds would
Oinker and Porker weigh together?
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18. A videotape can
record 2 hours on short play, 4 hours on long play, or 6 hours on extralong
play. After recording 32 minutes on short play and 44 minutes on long
play, how many minutes are left for recording on extra
long play?
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19. In the sequence
of numbers 1, 3, 2, -1, . . . each term after the first two is defined to be
equal to the term preceding it minus the term preceding that. Find the
sum of the first 100 terms of the sequence.
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20. Different
triangles can be made by choosing three of the points A, B, C, D, E, F, and
G. How many triangles can be made?
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Mathematics | Sharon Robbert | Triathlon | Triathlon
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