HIGHLINE SCHOOL DISTRICT                                                      School:   _________________

1

 
FIRST YEAR MATH OLYMPIAD March 25, 2000

                                                                                                               Team Number:  ___________

Geometric sense

                                                                                                              

 

All answers must have correct units!

 

1.         Find the area and perimeter

               8 cm

 


13cm

 


                                             7cm

                  17cm

 

 

 

area  _________________

 

perimeter  _________________

 

2.         Find the area and circumference of this circle.  The 18 foot measurement is from the center of the circle.  Use p = 3.14

 

 


               18 ft

 

 

 

 

area:  _________________

 

circumference:  _________________


 

3.         Find the area of this figure.  Each end is a half-circle.  The radius of the half circle on each end is 6 feet.  (Use p = 3.14)

 

                                               48 feet

 

 

 

 

 

 

 


                                                36 feet

_________________

 

4.         Find the measure of angle q

 

 

 


               q

 


                                                                              60o

 

 

 

_________________

 

 

5.         Find the area of the shaded part of this circle.  Use 3.14 for pi.

The hypotenuse of the triangle is the diameter of the circle.


 

 

 

 

 


_________________