HIGHLINE SCHOOL DISTRICT                                               School:  __________________

1

 
 FIRST YEAR MATH OLYMPIAD  March 21, 1998

                                                                                                                               Grade:  _________

Measurement

                                                                                                                Team Number:  _________

 

1.         What are the dimensions of 5 boxes of different sizes that could each hold exactly 30 one-inch cubes?

 

 

 

___________    ___________    ___________    ___________    ___________ 

                                                                                                                                                                 

2.         When Thomas enters a pizza store, he notices that a circular pizza, 14 inches in diameter, costs $7 and a circular pizza, 16 inches in diameter, costs $12.  Which pizza is a better deal?

 

 

 

                                                                                                                                         ___________

 

3.         Farmer Able has a rectangular field 60 by 40 meters.  Farmer Baker has a square field with the same perimeter.  How much larger is Farmer Baker's field in square meters?

 

 

 

 

                                                                                                                                         ___________

 

4.         Spot and Rover are running a 600 meter dog race.  Spot runs 20 meters per minute and Rover runs 15 meters per minute.  How many minutes earlier than Rover will Spot finish? 

 

 

 

 

                                                                                                                                         ___________

 


5.         ABCD  and  AFED  are squares with a common side AD of length 10 cm.  The arcs BD and DF are quarter circles.  How many square cm. are in the area of the shaded region?

                                                                                                                                         ___________