Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2007 Grade 6 Measurement

Problem
1) A box has volume of 24 cubic feet. It has a length of 3 feet and a width of 2 feet. If the width is increased by 2 feet, by how much does the volume increase?
2) Trevor and Debby are designing a fort. They notice that if they increase the length of the floor by 2 feet then the floor area will increase by 12 square feet. If they increase the width by 3 feet then the floor area will increase by 24 square feet. If they do both and increase the length by 2 feet and the width by 3 feet, by how much will the area increase?

Problem

3) Jori, Tina, and Lateisha are going to be paid $80 for cleaning up Mr. Roger's neighborhood. They each worked 5 hours except Jori who was 30 minutes late. What is Lateisha's fair share of the money? Mr. Roger is generous and rounds up to the nearest dollar.

4) Ms. Creeley's class is doing a canned food drive. All the cans will be placed in a large cylindrical barrel that Ally and Joe are going to decorate like a can of stew. The barrel has a radius of 18 inches and is 3 feet high. They plan to first cover it in sheets of 9 inch by 14 inch construction paper. The art teacher will give them the construction paper only if they tell her what is the fewest number sheets they will need. How many sheets will they need if they cover only the sides of the barrel? Remember they can only get whole sheets.

5) Mr. Troy is transporting bars of gold in an elevator that will hold a maximum weight of 500 pounds. He weighs 180 pounds and his cart weighs another 15 pounds. Each bar of gold weighs about 27.4 pounds. He tries to maximize the number of bars he can take in each trip without going over the maximum elevator weight. On this day one bar is worth $623.80. What's the value of the gold in the elevator with Mr. Troy?