Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2017 Grade 6 Measurement

Problem
1) A square has an area of 10 square meters. Its side lengths get tripled to create a new square.
What is the area of the new square?

2) Esmeralda is buying 6000 batteries. The mini pack has 30 batteries for $70.50, the family pack has 500 for $1165. The jumbo pack costs $2844 and has 1200 batteries. Which is the best buy?

3) A truck drives from a factory to a warehouse and then takes the same route back to the factory. On the trip to the warehouse, the truck's average speed was 30 miles per hour. On the trip back to the factory, the truck's average speed was 60 miles per hour. What is the truck's average driving speed for the whole trip?

4) A road race is taking place for bicyclists. Susan put a blue marker post every 2600 meters along the route. Ravi places a red marker post every 1800 meters. How far from the start is the first place there a blue post and a red post will be together?

5) A bowl is full of blue, red, and green jelly beans. There are three times as many blue as there are red. There are also two times as many green as there are blue. Altogether there are 210 jelly beans in the bowl. How many blue jelly beans are in the bowl?