HIGHLINE SCHOOL DISTRICT

School: ___________________

FIRST YEAR MATH OLYMPIAD

April 7, 2001

Team No.____

Geometric Sense

DONT FORGET UNITS ON YOUR ANSWERS!

1). A right triangle has an acute angle that measures 56 degrees. What is the measure of the other acute angle in this triangle?

Answer:__________________

2).Find the measure of angle A:
Answer:_____________________

3). What is the measure of angle A in this isosceles triangle:

Answer:_____________________

4). Find the area of the shaded part of this figure. The inside figure is one-fourth (1/4) of a circle and the outer shape is a square. (Use pi = 3.14)

Answer:______________________

5). In this figure, A (a square), B (an isosceles triangle) and C (an equilateral triangle) all meet at a common point. What is the measure of angle X?

Answer:_____________________

2).Find the measure of angle A:
Answer:_____________________

3). What is the measure of angle A in this isosceles triangle:
Answer:_____________________

4). Find the area of the shaded part of this figure. The inside figure is one-fourth (1/4) of a circle and the outer shape is a square. (Use pi = 3.14)
Answer:______________________

5). In this figure, A (a square), B (an isosceles triangle) and C (an equilateral triangle) all meet at a common point. What is the measure of angle X?
Answer:_____________________