Being resourceful

Your school has been left a million pounds in the will of an ex-pupil. What model of investment and spending would you use in order to ensure the best return on the money?

Charlie has moved between countries and the average income of both has increased. How can this be so?

Various solids are lowered into a beaker of water. How does the water level rise in each case?

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?

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

Use the animation to help you work out how many lines are needed to draw mystic roses of different sizes.

Can you match up these equivalent algebraic expressions?

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?