2001 TRINITY MATH TRIATHLON

1. Find 20% of 70.

2.  Find the sum: 1.23 + 12.3 + .123

3. Find the result:

4. If you spin this spinner, what is the probability that it will stop on the space marked with a 1?
 

A.  1/3 B.  1/4 C.  1/2 D.  3/4 E.  1

5. How many minutes represent 10 percent of one full day?

6. Russell's previous test scores are 70, 74, 87, and 85.  What score does he need to get on his next test to have an average of 80?

7. Find the perimeter of the figure if each of the squares has an area of 9 square units.

8. A square has length 10 units and width 10 units.  If the length is increased by 30% while the width is decreased by 20%, what is the area of the resulting figure?

9. Find the area of the shaded region
 

A.  4/15  B.  3/8  C.  5/8  D.  11/15

10.   If you reflect the point P with coordinates (3, -5) over the y-axis and then over the x-axis, what are the coordinates of the final location?

11.   Find the first positive integer that is one more than a multiple of 2, two more than a multiple of 3, and four more than a multiple of 7.

12.  A car travels between two cities A and B that are 120 miles apart.  Traveling from A to B the car travels at the rate of 40 mph.  On the reverse trip from B to A, the car travels at the rate of 60 mph.  What is the average rate of the round trip? [Hint: the answer is NOT 50 mph!] 
 
 

13.  A bolt of cloth is colored as follows: 1/3 is red, 1/4 is black and the remaining 8 square meters are green.  What is the total area of the bolt of cloth?

14.  Suppose that the area of trapezoid ABCD is 72 square centimeters, AB = 8 cm, CD = 16 cm, and the measure of  angle ACD = 45°.  Find the length of segment XD.

15.  Find another arrangement of the letters in eleven + two that has the same value.

16.  Circles P and L are tangent and have radii 9 and 4 respectively.  Find the length of common tangent segment GN.

17.  Express  as a repeating decimal.

18.  Given the sequence of toothpick figures below, find the number of toothpicks needed to produce the 2001 term.

19. .  What is n ?

20.  What is the minimum possible exposed surface area when cubes of side lengths 3, 2, and 1 are glued together?