Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?
Can you work out how to produce different shades of pink paint?
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
Take a look at the video and try to find a sequence of moves that will untangle the ropes.
Can you make sense of these three proofs of Pythagoras' Theorem?
Show that for any triangle it is always possible to construct 3 touching circles with centres at the vertices. Is it possible to construct touching circles centred at the vertices of any polygon?
If you know the perimeter of a right angled triangle, what can you say about the area?
You are only given the three midpoints of the sides of a triangle. How can you construct the original triangle?
This problem challenges you to find cubic equations which satisfy different conditions.
Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?
