Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2016 Grade 7 Number Sense

Problem

1) Find the 100th term in this sequence:
    1, 5, 4, 8, 7, 11, etc

2) If you insert three numbers between 1/6 and 1 to form an arithmetic sequence (i.e., values evenly spaced), what would the sum of this sequence?
(Express your answer as a mixed number)

3) Liz is making cupcakes for a charity event. She decides that every 3rd cupcake will have chocolate frosting, every 4th cupcake will have sprinkles, every 5th cupcake will use colored batter, and every 6th cupcake will be topped with a cherry. If Liz makes 80 cupcakes, how many will have none of these additions?

Problem

4) What is the missing number in the figure below?

5) If 2x = 64 and xy = 216, what is yx ?