Can you sort these triangles into three different families and explain how you did it?
If the hypotenuse (base) length is 100cm and if an extra line splits the base into 36cm and 64cm parts, what were the side lengths for the original right-angled triangle?
Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?
A dot starts at the point (1,0) and turns anticlockwise. Can you estimate the height of the dot after it has turned through 45 degrees? Can you calculate its height?
Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?
Take a look at the multiplication square. The first eleven triangle numbers have been identified. Can you see a pattern? Does the pattern continue?
Follow the hints and prove Pick's Theorem.
