Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2013 Grade 5 Algebra
Problem
1) The distance around a track is 1/4 mile. Jessie plans to run 5 miles and has already done 6 laps. How many more laps must she run to complete 5 miles?

2) At the end of February Jenny noticed that she could finally get up when it was light in the morning. She kept track of when sunrise was for a few days in the paper and saw a pattern:
Feb 24, 2013 6:59 AM
Feb 25, 2013 6:57 AM
Feb 26, 2013 6:55 AM
Feb 27, 2013 6:53 AM
If the pattern holds true, when was sunrise on February 1st?

3) The figure shows a sequence of castle fronts made from cubes. The number of cubes needed for each castle front form a numerical pattern. How many cubes are needed for the castle front of Castle 8?

Problem
4) Trina, who is 10, wants to know how old her mother is. Her mother says two times the difference between our ages is the same as the sum of our ages plus 14 more. How old is her mom?

5) Mrs. Severson keeps a jar with pennies and dimes in her classroom as a tool for teaching place value to her young students. Jori reaches in and pulls out a handful of coins and counts them. She has 43 coins. Tom computes and finds out the handful is worth 88 cents. How many are pennies?