Category: Algebra

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

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 +