Charlie has moved between countries and the average income of both has increased. How can this be so?
Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?
Two boats travel up and down a lake. Can you picture where they will cross if you know how fast each boat is travelling?
Use the animation to help you work out how many lines are needed to draw mystic roses of different sizes.
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.
