- If
5 x ♦
= 1 + 2 + 3 + 4 + 5, what is the value of ♦?
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1.
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- If
inches represent 180
miles on a map, how many miles does
inches represent?
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2.
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- Ten
years ago, Al was as old as Keith is now.
In how many years from now will Keith be as old as Al is now?
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3.
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- For
what value of
does
?
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4.
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- What
is one-half of the reciprocal of 0.004?
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5.
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- Joe
can do one-third of the job in two-thirds of an hour.
How many hours will it take him to do the complete job?
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6.
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- If
x + y = 5, x + z = 8,
and y + z = 11, what is the value of x + y + z?
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7.
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- If
fence posts are set 6 feet apart, how many fence posts are needed to
enclose a 30-foot by 18-foot field?
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8.
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- Seven identical
cubes are to be joined into one unit by cementing a complete face of
one to a complete face of another.
What is the maximum number of uncemented faces that can result?
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9.
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- What
is the value of
? Express your answer as
a common fraction.
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10.
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- What
is the time 456 minutes after 7:00 am?
(Be sure to indicate am or pm.)
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11.
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- If
, what is the value of k?
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12.
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- What
is the probability that, in its spelling, a randomly chosen day of the
week uses the letter “u”?
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13.
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- Janna’s
average score on five 100-point tests was 80.
Her score on the sixth test raised her mean score two points.
How many points did she score on the sixth test?
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14.
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- What
is the sum of a set of five consecutive integers if the median of the
set is 20?
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15.
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- Pat
paid
of the restaurant bill,
Jan paid
of the bill, and I paid
the rest, $1.20. How much
was the total restaurant bill in dollars and cents?
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16.
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- What
is the area of a square with a perimeter of
?
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17.
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- If
5% of 5% equals 10% of n%, what is the value of n?
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18.
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- The
diameter of a circle is increased so that the circumference increases
by 20%. By what percent
does the area increase?
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19.
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- If
A ☼ B = (A x B) – B, then what is (3 ☼ 4) ☼ 5?
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20.
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- If
all the multiples of 3 and all the multiples of 7 are removed from the
set of integers from 1 to 100, how many integers remain?
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21.
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- What
common fraction is equivalent to
?
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22.
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- What
is the largest value of x less than 2 for which 5/x is an integer?
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23.
|
- If
, what is the value of
?
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24.
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- What
is the probability that a randomly chosen positive integer less than
50 is a perfect square or a perfect cube?
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25.
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- A
container of eye drops contains 30 ml.
The drops are used three times daily and each time 0.05 ml is
used in each eye. How many days will the container last?
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26.
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- Amy
and Belinda each roll a sheet of 6-inch by 8-inch paper to form a
cylinder. Amy tapes the
two 8-inch edges together. Belinda
tapes the two 6-inch edges together.
What is the difference in the volumes of the two cylinders?
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27.
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- A
drinking glass is shaped like a cylinder with inside diameter of 3”
and height of 6”. The glass is half full of water. A 2” diameter ball is lowered into the water slowly
until the ball is half submerged.
How much did the water level rise in the glass when the ball
was placed in the water?
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28.
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- Jack
and Jill went up the hill at a rate of 4 miles per hour.
Once at the top, they returned on the same path at a rate of 6
miles per hour. What was
their average rate?
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29.
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- What
is the smallest positive integer that uses only the digits 0 and 1 and
is divisible by 45?
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30.
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