Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2015 Grade 6 Number Sense

Problem
1) Your classmate is thinking of a 2-digit prime number. She tells you that the product of the two digits is 24. What is the number?

2) At a small private school 60% of the students are girls. 10% of the boys have blue eyes. 20% of the girls have blue eyes. What percent of all students have blue eyes?

3) Your class is having a fundraiser and makes 1000 postcards per student to sell. You sell 32 postcards every day for the first two weeks and 24 postcards every day after that. How many days will it take you to sell all of the postcards?

4) Tom likes to fill his car with a mixture of premium and regular fuel. Premium fuel costs $3.25/gallon and regular fuel costs $2.53/gallon. If Tom fills his car with 10 gallons of premium fuel and 6 gallons of regular fuel, how much does this mixture cost per gallon?

5) In the figure, the sum 1/4+ 1/8 + 1/16 + 1/32 + 1/64 represents the area of the shaded regions. If the total area of the largest triangle is 1 square unit, what is the area of the unshaded regions?
(Express your answer as a fraction in lowest terms)