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# News from Mathnasium of Wilton

### Problems of the week - 03-11-2020

Mar 11, 2020

Lower Elementary:
Question: Jack builds a sand castle with 8 different sand molds. The smallest mold holds 11/2 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?
Solution: Each mold holds twice as much as the last. So, the fifth holds 12 + 12 = 24 cups. The sixth holds 24 + 24 = 48 cups. The seventh holds 48 + 48 = 96 cups, and the eighth holds 96 + 96 = 192 cups.

Upper Elementary:
Question: 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?