Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2017 Grade 7 Algebra

Problem

1) The sum of three numbers is 160. The second number is 15 the first number. The third number is 17 more than the first number. What are the three numbers?

2) My machine combines numbers using a rule. Find the missing number.

3) In the following sequence, how many squares are needed to make the 100th figure?

4) Frannie has a certain amount of money in her spending jar. Beginning at the start of the year, she takes the same amount out every week. After 8 weeks she has $1182 in the jar. After 24 weeks there is $802 in the jar.
How much money was in the jar at the start of the year?
How much does she take out each week?

5) A shirt is discounted 20% off. Miguel has a coupon that will give him an additional 30% off. What is the total discount on the original price? Express your answer as a percentage.