# Problems of the Week

Apr 6, 2020 | High Park

We hope you're keeping safe, Mathletes! Keep your mind sharp by solving one of these tricky problems!

Lower Elementary:
Question: Anna picks twice as many tomatoes as Brayden. Catherine picks 12 more tomatoes than Brayden. If Catherine picks 16 tomatoes, then how many tomatoes does Anna pick?

Upper Elementary:
Question: Francis is chopping a 10-layered onion. He first cuts the onion in half vertically, from stem to roots. He then cuts each half of the onion 4 times. How many pieces of onion does Francis have after he separates all the layers?

Middle School:
Question: John is growing broccoli in his garden. He plants the broccoli in the morning on April 1. 96,480 minutes later, he harvests the broccoli. On what date does John harvest the broccoli?
(You may look up how many days are in each month.)

Algebra and Up:
Question: A strawberry has 1 seed per 5 square millimeters on its surface. Use the formula for the surface area of a cone—surface area = πr(r+sqrt[h2 + r2])—to approximate the number of seeds on an almost-cone-shaped strawberry whose height is 36 mm and whose diameter at its widest is 54 mm. Round your answer to the nearest whole number.

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Lower Elementary:
Question: Anna picks twice as many tomatoes as Brayden. Catherine picks 12 more tomatoes than Brayden. If Catherine picks 16 tomatoes, then how many tomatoes does Anna pick?
Solution: Catherine has 16 tomatoes, so Brayden must have 16 – 12 = 4 tomatoes. Anna has twice as many, so she has 4 × 2 = 8 tomatoes.

Upper Elementary:
Question: Francis is chopping a 10-layered onion. He first cuts the onion in half vertically, from stem to roots. He then cuts each half of the onion 4 times. How many pieces of onion does Francis have after he separates all the layers?