April 2002 TRINITY MATH TRIATHLON

INDIVIDUAL COMPETITION

1.  What is 40% of 50?
2.  Find the average of 13, 25, and 37.
3. Simplify:
4.  A girl had her monthly $10 allowance doubled, next received an additional $3 increase, and finally had her allowance cut in half.  What is her current allowance?
5.  A candy bar costs 80 cents in the United States.  If you paid for it with an equivalent amount in Japanese yen and if $1.00 equals 120 yen, how many yen would it cost?
6. Norton had 12 oranges.  Julie had 5 oranges.  Philip had 2 oranges.  Norton gave Julie 3 oranges.  Julie gave Philip 6 oranges. Philip gave Norton 4 oranges.  How many oranges does Norton have?
 
7. The figure at right represents an unfolded box with designs on several panels.  Below are three drawings of boxes with designs.  When folded, which box will it be? 

8. Suppose that the operation & is defined by a & b =
What is 3 & 6?
9. In the diagram, what is the value of a? 
10.   Find the value of x on the number line below, given that the points are evenly spaced. 
11.   The arithmetic mean (average) of five numbers is 20.  If the smallest of the five numbers is deleted from the set, the average of the remaining numbers is 22.  What is the smallest number in the original set?
12.  An isosceles triangle and a rectangle share a common base.  The area of the rectangle is four times the area of the triangle.  If the area of the triangle is 60cm2 and its height is 5 cm, find the dimensions of the rectangle.
13.  The length of each side of the square below is 10.  Each of the quarter circles has a radius of 5.  Find the exact area of the shaded region.
14.  What is  percent of 320?
15.  Paul is one-third of the way up a flight of stairs.  If he climbs 10 more steps, he will be half-way up.  How many steps are there?
16.  Find the value of the following: 
17.  Express the following product as a reduced fraction:
18.  Determine the length of the longest segment that can be contained in a rectangular box that has a width of 4 units, a length of 12 units, and height of 3 units.
19. Three boxes and three slips of paper are numbered 1, 2, and 3. A slip of paper is placed in each box so that the number on the slip in box n is the number of the box containing the slip marked n.  If box 1 contains slip 3, what number is on the slip in box 2?
20. What is the 100th number in the sequence below?

1, 3, 3, 3, 5, 5, 5, 5, 5, 7, 7, . . . 

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