2 out of 3
If you move the tiles around, can you make squares with different coloured edges?
2 out of 3
What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?
2 out of 3
A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?
2 out of 3
Can you work out what step size to take to ensure you visit all the dots on the circle?
2 out of 3
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
2 out of 3
Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?
2 out of 3
Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?
2 out of 3
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.
2 out of 3
A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What sizes of rectangle contain exactly 100 squares? Can you find them all?
2 out of 3
Take a look at the video and try to find a sequence of moves that will untangle the ropes.
