Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2008 Grade 6 Algebra

Problem

1) The children are harvesting apples. They harvest 72 dozen apples. They lost 1/8 of the apples to bruises while packing. 1/7 of the remaining apples were thrown out because of scabs. Twenty dozen apples were donated to the local food bank. How many apples did they have left to sell?
2) The expression 1.25C + 1.85R computes the cost of purchasing C bottles of Cola and R bottles of Root Beer. Max has $10.00 to spend and wants to buy at least 2 bottles of each and then as many bottles of soda as he can with the money left. How many bottles of Cola and how many bottles of Root Beer should he purchase?

3) What number is in the one's digit place for the expanded form of 864?

4) Sosna is moving. She can carry 16 books at once in her arms to the car. She can also carry 26 DVDs in one load. She doesn't mix books and DVDs to keep things organized. Sosna made 7 trips to the car with arms fully loaded and carried a total of 142 objects. How many DVDs did she carry to the car?
5) There is a population of 832 rabbits in the city of Lakewood. The population of rabbits doubled every six months. How many months ago was the population at 52 rabbits?