Arithmagons
Can you find the values at the vertices when you know the values on the edges?
Can you find the values at the vertices when you know the values on the edges?
Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
Here is a chance to play a fractions version of the classic Countdown Game.
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.
How many winning lines can you make in a three-dimensional version of noughts and crosses?
If you can copy a network without lifting your pen off the paper and without drawing any line twice, then it is traversable. Decide which of these diagrams are traversable.
Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?