POW (July 3 - July 7)

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.

Scroll down! Answers and Solutions below!











 

Lower Elementary:

Answer:  8 tomatoes

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:

Answer:  100 pieces

Solution:  There are 10 layers of onion, so we can think of that as 10 pieces. When Francis cuts the onion in half, that makes twice as many pieces: 10 × 2 = 20. When he cuts each half onion horizontally 4 times, he multiplies the number of pieces by 5: 20 × 5 = 100.

Middle School:

Answer:  June 7

Solution:  If we divide 96,480 minutes by 60 minutes, we find that John harvested the broccoli 1,608 hours after he planted it. 1,608 hours ÷ 24 hours = 67 days. So, John harvested the broccoli on June 7, 67 days after April 1.

Algebra and Up:

Answer:  1,221 seeds