
Conjecturing and generalising
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Can they be equal?
Can you find rectangles where the value of the area is the same as the value of the perimeter?
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Generating triples
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? -
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Changing areas, changing perimeters
How can you change the area of a shape but keep its perimeter the same? How can you change the perimeter but keep the area the same?
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Number pyramids
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
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Odds, evens and more evens
Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...
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problem
Carroll diagrams
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
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Seeing squares
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
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Dicey addition
In these addition games, you'll need to think strategically to get closest to the target.
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This Pied Piper of Hamelin
Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!