HIGHLINE SCHOOL DISTRICT                                                      School:   _________________

SECOND YEAR MATH OLYMPIAD March 25, 2000

2

 
                                                                                                               Team Number:  ___________

 

                                                                                                              

Geometric sense:  All answers must have correct units!

 

1.         An 18 foot flagpole casts a 30 foot shadow.  How long is the shadow of a 6 foot man standing next to the flagpole? 

 

 

 

 

 

 

_________________

 

2.         Find the area of the shaded part of this circle.  Use 3.14 for pi.  The triangle is a right triangle. The hypotenuse of the triangle is the diameter of the circle.

 


 

 

 

 

 

 

 


_________________

 

 

3.         Find the perimeter of this right triangle:

 


                                              5 cm

 

                       12 cm

 

 

 

                                                                                                                     _________________


 

4.         Find the area of this figure.  Each end is a half-circle. 

            (Use p = 3.14)

 

                                               48 feet

 

 

 

 

 

 

 


                                                36 feet

 

 

 

 

 

 

 

 

_________________

 

5.         ABCD is a square with area = 36 square meters.  AEFG is a rectangle with area = 36 square meters.  E is the midpoint of AB.  What is the perimeter of AEFG?

 

                                         C                        B 

 

            F                                                     E

 

 

 

            G                            D                      A

 

 

 

 

 

 

 

 

_________________