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?
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Can you see how this picture illustrates the formula for the sum of the first six cube numbers?
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Can you work out the dimensions of the three cubes?
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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?
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Can you explain the surprising results Jo found when she calculated the difference between square numbers?
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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?
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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?
