Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2008 Grade 5 Number Sense

Problem
Hint
1) A grocery store sells three different-sized cans of orange juice. A 6-oz can costs 55 cents. A 16-oz can costs $1.15. A 32-oz can costs $2.79. Which is the best buy? The best buy has the lowest cost/oz. First convert all costs to cents, then divide each size's cost by the number of ounces and pick the lowest one.
2) In Kendra's school, 2 out of every 5 seventh graders went to a movie theater over the weekend. If there are 80 students in the seventh grade, how many of them saw a movie? If there are 80 students in the 7th grade, then 1/5 of those is _____ students.
What is 2/5 of 80 then? _______
3) A food stand buys ice cream cones in packages of 8. Each carton of ice cream will make 12 cones. What is the least number of packages of ice cream cones and cartons of ice cream that need to be bought to have no leftover ice cream and no leftover cones? This is a least common multiple problem.
Method 1:
Write out the multiples of 8 and then the multiples of 12 and find the lowest number that appears in both lists
Method 2:
Multiply 8 x 12 and then divide by their greatest common factor.
    _____ cartons of ice cream and _____ packages of cones.
4) Mr. Zipher sells fresh walnuts at his farm stand and charges by the pound. Stella fills a small bag and Mr. Zipher tells her it weighs 3/16 lb and asks for 47 cents. She decides she has just enough for 1/2 lb of walnuts. How much is 1/2 lb of walnuts to the nearest five cents? 1. If 3/16 lb costs 47 cents, then 1/16 lb costs _____
2. 1/2 lb is 8/16 so the cost is _____
3. Round this to the nearest 5 cents: _____
5) Guess this number from the clues:
The least common multiple of this number and 42 is 630. The greatest common factor of this number and 42 is 6.
The least common multiple (LCM) of two numbers is the multiple of those two numbers divided by their greatest common factor (GCF). The equation is:
    LCM(A,B) = (A x B) / GCF(A,B)
Plug in the numbers and solve.