Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2017 Grade 6 Algebra

Problem

1) Parmveer has a bag with 54 coins. Altogether the coins are worth $4.75. He only has nickels and dimes in the bag. How many dimes are in the bag?

2) Evaluate:
    8x2 - (4x - 17) if 4x - 11 = 3

3) Shalem started with a certain amount of money. Every day he spends the same amount. After the 4th day he has $117 left. After the 36th day he has $13 left.
    a. How much money did he start with?
    b. How much does he spend each day?

4) In Josie's class there are 28 students. 13 have been to Oregon, 11 have been to Idaho, and 3 have been to both. How many students have not been to either Oregon or Idaho?

5) I'm thinking of a positive number. If I square it and then subtract 65, I get the same answer as when I multiply my number by 8. What is my number?