Is it possible to find the angles in this rather special isosceles triangle?
Can you see how this picture illustrates the formula for the sum of the first six cube numbers?
Can you work out the dimensions of the three cubes?
You are only given the three midpoints of the sides of a triangle. How can you construct the original triangle?
In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?
Can you explain the surprising results Jo found when she calculated the difference between square numbers?
A circle of radius r touches two sides of a right angled triangle, sides x and y, and has its centre on the hypotenuse. Can you prove the formula linking x, y and r?
Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?
Given an equilateral triangle inside an isosceles triangle, can you find a relationship between the angles?
Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.
