If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?
Can you work out the probability of winning the Mathsland National Lottery?
Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
Which numbers can we write as a sum of square numbers?
Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?
In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.
What is the value of $2015 \times 2017 - 2016 \times 2016$?
What is special about the difference between squares of numbers adjacent to multiples of three?
Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?
There are unexpected discoveries to be made about square numbers...
