Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2015 Grade 5 Number Sense

Problem
1) Michael and Terry are folding paper cranes. Terry is much faster and makes 7 cranes for every 4 that Michael makes. In the time Terry takes to make 42 cranes, how many does Michael make?

2) A company makes two kinds of figurines. Each figurine weighs either 5 pounds or 9 pounds. They ship the figurines in boxes that can hold up to 91 pounds. How many of the 9-pound figurines can the company ship in a box if they want to load the box up to its maximum possible weight and they want to ship more of the 5-pound figurines?

3) Anna has 10 more sheets of paper than Mary. Mary has 7 more sheets of paper than Caroline. They decide to split all of the paper between them equally. How many less sheets of paper would Anna have?

4) Jeremy baked a cake. Sue cut the cake into equal-sized pieces and took one piece. Nathan took 1/5 of the remaining pieces. Finally, Jeremy took 1/3 of the remaining pieces. If 1/2 of the cake is still remaining, how many pieces did Sue cut the cake into?

5) Melissa is competing in a rowing race. She can row 4 miles in 30 minutes. How long would it take her to row the 30 miles in the race if she keeps the same pace? (Express your answer in hours and minutes)