Category: Numbers

Algebraic Expressions Divisible by 3

Problem If a+2 is divisible by 3, which of the following expressions is/are also divisible by 3? A. 3+2a B. 5a-2 C. 8+7a D. 1+5a Solution When a number is divisible by 3 then it is a multiple of 3. So, if it is given that a+2 is divisible by 3 then a+2 is a

Sum of Consecutive Numbers

Problem 1 Can you work out the answer to this number pattern and explain why you think you have the correct answer? You probably observed that the sum is the square of the middle number. Can you work out why? Why do you have a square number for the sum? Solution 1 Solution 2 Solution