1 out of 3
In how many ways can you fit all three pieces together to make shapes with line symmetry?
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This investigates one particular property of number by looking closely at an example of adding two odd numbers together.
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Where should runners start the 200m race so that they have all run the same distance by the finish?
2 out of 3
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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How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.
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Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?
2 out of 3
How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?
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How many different symmetrical shapes can you make by shading triangles or squares?
