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We usually use squares to measure area, but what if we use triangles instead?
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In the 2020 Olympic Games, sport climbing was introduced for the first time, and something very interesting happened with the scoring system. Can you find out what was interesting about it?
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Investigate how you can work out what day of the week your birthday will be on next year, and the year after...
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Identical squares of side one unit contain some circles shaded blue. In which of the four examples is the shaded area greatest?
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How many moves does it take to swap over some red and blue frogs? Do you have a method?
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Which set of numbers that add to 100 have the largest product?
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What do you notice about the sum of two identical triangular numbers?
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Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?
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It's easy to work out the areas of most squares that we meet, but what if they were tilted?
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We can show that (x + 1)² = x² + 2x + 1 by considering the area of an (x + 1) by (x + 1) square. Show in a similar way that (x + 2)² = x² + 4x + 4
