1 out of 3
Is it possible to find the angles in this rather special isosceles triangle?
2 out of 3
Can you see how this picture illustrates the formula for the sum of the first six cube numbers?
2 out of 3
Can you work out the dimensions of the three cubes?
2 out of 3
You are only given the three midpoints of the sides of a triangle. How can you construct the original triangle?
2 out of 3
In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?
2 out of 3
Two ladders are propped up against facing walls. At what height do the ladders cross?
2 out of 3
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?
2 out of 3
Take any prime number greater than 3 , square it and subtract one. Working on the building blocks will help you to explain what is special about your results.
2 out of 3
All CD Heaven stores were given the same number of a popular CD to sell for £24. In their two week sale each store reduces the price of the CD by 25% ... How many CDs did the store sell at each price?
2 out of 3
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?
