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Investigate the totals you get when adding numbers in threes on the diagonal of this pattern.
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How many ways can you find of tiling the square patio, using square tiles of different sizes?
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Let's suppose that you are going to have a magazine which has 16 pages of A5 size. Can you find some different ways to make these pages? Investigate the pattern for each if you number the pages.
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Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?
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What is the smallest number of tiles needed to tile this patio? Can you investigate patios of different sizes?
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We need to wrap up this cube-shaped present, remembering that we can have no overlaps. What shapes can you find to use?
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How could you put eight bean bags in the hoops so that there are four in the blue hoop, five in the red and six in the yellow? Can you find all the ways of doing this?
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56 406 is the product of two consecutive numbers. What are these two numbers?
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There are 44 people coming to a dinner party. There are 15 square tables that seat 4 people. Find a way to seat the 44 people using all 15 tables, with no empty places.
