April 2003 TRINITY MATH TRIATHLON

1.  What is 40% of 40?

2.  Find  Write your answer as a fraction in lowest terms.

3.   Which figure has larger perimeter: a square with side length 4 or a circle with radius 3?

4.  For a summer job, a few students decide to pick blueberries.  The students that participate pick 21 lbs., 16 lbs., 22 lbs., 18 lbs., and 13 lbs., on a given day.  What is the average amount of blueberries the students pick on this day?

5.  Each side of equilateral triangle A is twice the length of a side of triangle B.  How many copies of triangle B will fit into triangle A?
 
 

Triangle A

Triangle B

6.   To the nearest integer, the circumference of this circle is 
 

a.  15 inches  b.  16 inches  c.  31 inches  d.  32 inches

 

7. The area enclosed by these five congruent squares is 180 cm2.  What is the perimeter?

8.  There are 416 people living in a town.  All of the people in this town either own a cat, a dog, or both a cat and a dog.  316 of the people own a dog and 280 own a cat.  How many dog owners are there that do NOT have a cat?

9.   How many square meters is the surface area of a closed rectangular box with length 3 meters, width 4 meters, and height 5 meters? 

10.   If the five digit number 5DDDD is divisible by 6, what is the digit D?

11.   Suppose that A  B means  .  What is the following? (3  5)  8

12.  An 800 seat multiplex is divided into 3 theatres. There are 270 seats in Theatre 1, and there are 150 more seats in Theatre 2 than in Theatre 3.  How many seats are in Theatre 2?

13.  What is the largest area that can be enclosed by a rectangle whose perimeter is 20 units?

14.  Seven students take a 50-point quiz.  The average score on the quiz is 34 points.  Taking out the highest score and the lowest score, the remaining five students averaged 35 points.  If the highest score is 48, what is the lowest score?

15.  Figure ABCD is a square.  If the segments AF and BG each have length 5 and segments BF, CH, and DE each have length 12, what is the area of quadrilateral EFGH?

16. Solve this limerick: 

We know a rich man in Dundee
Whose age has its last digit three
    The square of the first
     Is his whole age reversed.
So what must the rich man's age be?

17.   Al, Ed, and Tom are different ages.  Exactly one of these statements is true:

  (1) Ed is the oldest.
  (2) Al is NOT the oldest.
  (3) Tom is NOT the youngest.

 Who is the youngest person?

18.   What is the least amount of colors necessary to color the figure such that the following two conditions are met?
 (1) Two areas that share a common boundary have different colors, and
 (2) Two areas sharing only a common corner may have the same color.

19.   A sequence of "stair-step" figures is made by adding a row of alternating black and white squares to the previous figure.  If the first three figures are shown, how many black squares are in the 50th figure?

20.   On Monday, 30 girls and 0 boys in the band missed practice, resulting in a 2 : 5 ratio of girls to boys.  On Tuesday, 30 girls and 48 boys missed practice, resulting in a 2 : 1 ratio of girls to boys.  How many students are in the band?