Problem of the Week Mar 8 - 12, 2020

Solve the Problem of the Week for your grade level!

Get a Problem of the Week ballot and submit your entry before closing time on Thursday. All correct solutions will receive 5 extra punches on their Reward card at the start of their next session in the math learning centre.

Grades 3-4: Jack builds a sand castle with 8 different sand molds. The smallest mold holds 1½ cups of sand. The next mold holds 3 cups of sand. The third mold holds 6 cups of sand, and the fourth holds 12 cups of sand. If the pattern continues, then how much sand does the biggest mold hold? 

Grades 5-6: Aria, Brett, and Chelsea bounce a beach ball between them 100 times. Aria bounces the ball to Brett, Brett bounces the ball to Chelsea, Chelsea bounces the ball to Aria, and the pattern continues. Who bounces the ball the 100th time?   

Grades 7-8: Ava collects 4 more than twice as many sea shells as Ben. Ben collects 1 fewer than half as many as Carla. Carla collects 200 sea shells. How many sea shells does Ava collect?  

Grades 9 and up: A circular beach umbrella with an area of 4π square metres casts a circular shadow with a circumference of 8π metres. What is the circumference of an umbrella at the same height that casts a shadow whose area is 64π square metres? (For the purpose of this exercise, pretend umbrellas are flat circles instead of domes.)