Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2009 Grade 5 Measurement
Problem

1) What is the area of this garden?
(dimensions are in feet)

2) Eugene and Florence are both reading books and they read for 20 minutes a day during an after school program that runs Monday through Friday.
Eugene reads 3 pages every 6 minutes and Florence reads 2 pages every 5 minutes.
If it takes Eugene 4 whole weeks to finish his book, and Florence takes 6 whole weeks, whose book is longer and by how many pages?

3) A room is 25% full. If 900 more people enter the room it will be at full capacity. Full capacity is determined by one person per 1.5 square meters. The length of the room is 60 meters. What is the width of the room?

Problem

4) Aleisha is exercising her business talents as the go to classmate to get things from. She trades:
  • 2 bags of chips = 1 candy bar
  • 1 bag of chips = 5 pencils
  • 3 pencils = 2 gel pens
How many gel pens can she get for 1 candy bar?

5) In this diagram the two white triangles have height 7 cm and are congruent
What is the area of the dark parallelogram?