Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2006 Grade 6 Number Sense

Problem

1) What is the missing number?

2) 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.)

3) Emily Brown fills up her gas tank with premium gas at $2.25 a gallon. She pays $21.38. Miles Brown fills up their other car with regular gas at $2.05 a gallon. He pays $21.01. Who bought the most gas and how much more to the nearest 100th of a gallon?

Problem

4) Carol bought 2 student tickets and 3 child tickets for a play. The student tickets cost $3.00 less than an adult ticket and the child tickets cost $4.50 less than an adult ticket. An adult ticket costs $8.75. How much money did she spend on the tickets?

5) Solve the riddle:
I am a 2-digit prime number
I am greater than 20 and less than 60
The sum of my digits is 10
Who am I?