problem Midpoint Triangle Age 7 to 11 Challenge level Can you cut up a square in the way shown and make the pieces into a triangle?
problem Knight's Swap Age 7 to 11 Challenge level Swap the stars with the moons, using only knights' moves (as on a chess board). What is the smallest number of moves possible?
problem Dicey Age 7 to 11 Challenge level A game has a special dice with a colour spot on each face. These three pictures show different views of the same dice. What colour is opposite blue?
problem Map Folding Age 7 to 11 Challenge level Take a rectangle of paper and fold it in half, and half again, to make four smaller rectangles. How many different ways can you fold it up?
problem Green Cube, Yellow Cube Age 7 to 11 Challenge level How can you paint the faces of these eight cubes so they can be put together to make a 2 x 2 x 2 cube that is green all over AND a 2 x 2 x 2 cube that is yellow all over?
problem Christmas Boxes Age 11 to 14 Challenge level Find all the ways to cut out a 'net' of six squares that can be folded into a cube.
problem Quadrilaterals Age 7 to 11 Challenge level How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?
problem Single Track Age 7 to 11 Challenge level What is the best way to shunt these carriages so that each train can continue its journey?
problem Shunting Puzzle Age 7 to 11 Challenge level Can you shunt the trucks so that the Cattle truck and the Sheep truck change places and the Engine is back on the main line?
problem Square to L Age 7 to 11 Challenge level Find a way to cut a 4 by 4 square into only two pieces, then rejoin the two pieces to make an L shape 6 units high.