**1. How many different ways can a half dollar be made into
change using any combination of pennies, nickels, dimes, and quarters?
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**2. The diagram showns a figure in which all the long sides are the
same length and each is twice as long as each of the short sides. The angles
are all right angles and the area of the figure is 200 in**^{2}**. What is the
perimeter of the figure?
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**3. What day of the week is January 1, 2000?
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**4. A bag contains only blue balls and green balls. There are
exactly 6 blue balls in the bag. The chances of drawing a blue ball at random is
1:4 (another way of saying this is that the probability of drawing a blue ball
at random is ****). What is the number of green balls in the bag?
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**5. I walk at 4 miles per hour and run at 6 miles per hour. I find
I can save 3 minutes and 45 seconds by running instead of walking to school in
the mornings. How far do I live from school?
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**1. A 25 foot ladder is placed against a vertical wall of a building.
The foot of the ladder is 7 feet from the base of the building. If the top of
the ladder slips 4 feet, the foot of the ladder will slide how many feet?
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**2. The rails on a railroad are 30 feet long. As the train passes
over the point where the rails are joined, there is an audible click. The
speed of the train in miles per hour is an integer. How long (in terms of
seconds) must we count the number of clicks so that the number of clicks is the
same as the speed of the train?
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**3. The figure shown maybe folded along the lines to form a
cube. What is the largest sum of three numbers whose faces come together at a
corner?
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**4. Ten balls numbered 1 to 10 are in a jar. Jack reaches into the
jar and randomly removes one of the balls. Then Jill reaches into the jar and
randomly removes a different ball. Find the probability that the sum of the
two numbers on the balls removed is even.
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**5. Find the sum of the digits in the answer to
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**where a string of 98 nines is multiplied by a string of 98 eights.
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**1. If **** and ****, what is ****?
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**2. Start with a square. Connect the midpoints and vertex as shown
in the figure. Compute ****.**

**3. Instead of walking along two adjacent sides of a rectangle field,
a boy took a short-cut along the diagonal of the field and saved a distance
equal to **** the longer side. Find the ratio of the shorter side of the
rectangle to the longer side.
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**4. The complex number ***z*** satisfies ***z* +|*z*| = 2+8*i***. What is
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**5. If ***r*** and ***s*** are roots of the equation ***ax*^{2} + *bx* + *c* = 0**, find
the value of **** in terms of ***a*,*b*,** and ***c***.
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