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?
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?
Can you decide whether these short statistical statements are always, sometimes or never true?
Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?
How many winning lines can you make in a three-dimensional version of noughts and crosses?
Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?
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.