Being resourceful

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?

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?