1 out of 3
Surprising numerical patterns can be explained using algebra and diagrams...
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Match the cumulative frequency curves with their corresponding box plots.
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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?
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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 motorboats travelling up and down a lake at constant speeds leave opposite ends A and B at the same instant, passing each other, for the first time 600 metres from A, and on their return, 400 metres from B. How long is the lake?
2 out of 3
Can you explain the surprising results Jo found when she calculated the difference between square numbers?
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?
