Category: Middle School

How many squares do you see?

If you enjoyed the Facebook math problem about PEMDAS, I’m sure you will love this second math problem about counting squares which I also got from Facebook. Problem How many squares do you see? Answers given in Facebook include 24, 25, 26, 27, 38, 34, 36, 40, 42. Solution Here’s how you can systematically count the…

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Multiples of 3 and Consecutive Numbers

Numbers that are multiples of 3 are 3, 6, 9, 12, …. Problem Prove that numbers that are multiples of 3 can be expressed as sum of three consecutive numbers. Solution (2 out of 5 marks) 3 = 0 + 1 + 2 6 = 1 + 2 +3 9 = 2 + 3 +…

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Solution to semicircle road trip problems #1 and #2

The circumference of a circle is π x diameter so the length of a semicircle is (1/2)π x d. The solution to problem #2 is shown below. Let the diameters of the smaller circles be p, q, r, s. Use the formula to find the lengths of each semicircle. The same thinking is applicable to semicircle…

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Semicircle Road Trip #2

If you figured out Semicircle road trip problem #1, you will find this second problem easy. The challenge is setting-up the solution/ explanation and not really in figuring out which road is longer. If you have an explanation, share them in the comment section. Problem There are two ways to get from Town A to…

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