Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2006 Grade 5 Number Sense

Problem
Solution
1) Mr. LaSalle is buying ice-cream bars for the 8 dozen fifth graders at his school. The ice cream bars are packaged 10 to a box. What is the least number of boxes he can buy so that each fifth grader gets at least 1 ice cream bar? 1. There are 96 fifth graders.
2. Divide this by 10 = 9.6
3. Round up to the next box, if not even = 10 boxes

2) What is the missing number?
1. In each triangle, what is the lower left number multiplied by to get the lower right number? 3.
2. The missing number is 13 x 3 = 69
(You don't need the top numbers!)
3) On a Tuesday Toni Ellison begins her scenic drive across America. Starting in New York City, she arrives in San Francisco 59 days later. What day of the week is it when she arrives in San Francisco? 1. Divide 59 by 7 = 8 with a remainder of 3
2. The day of the week is the remainder day after Tuesday =
    Friday

4) A chocolate bar is separated into several equal pieces. If one person eats 1/4 of the pieces, and a second person eats 1/2 of the remaining pieces, then there are six pieces left over. Into how many pieces was the original bar divided?
Work this problem backwards:
1. If the second person ate half the remaining pieces and 6 were left, then there were 12 pieces before he ate his half.
2. If the first person ate 1/4th of the bar, then that person left 3/4 of the bar.
3. That fraction of the bar is what the second person got.
4. The bar was separated into 16 pieces.
5) Right after Christmas a store put all of its winter coats on sale for 40% off. One rack had a sign saying, "Take an additional 30% off". Terri picks out a blue coat from this "30% off" rack. If the coat had an original price of $100.00, what will the coat now cost Terri? (Do not include tax.) 1. Take 40% off the price. That leaves $60
2. Now take 30% off that $60 - $18 = $42