Category: Middle School

How many squares can you form with the dots?

Problem How many squares with whole number areas can you form on this 5 x 5 dot array with the dots for corners?   Solution Hint 1. The figure below is a 4 x 4 grid. It shows squares you probably did not consider when you jumped right away on an answer. Do they also

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

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 +