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Maths to Take Your Time over (14-16)

Generating Triples
problem
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Generating Triples

Age
14 to 16
Challenge level
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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?
Picturing the world
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Picturing the world

Age
14 to 16
Challenge level
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How can we make sense of national and global statistics involving very large numbers?
What's Possible?
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What's Possible?

Age
14 to 16
Challenge level
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Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?
Funny Factorisation
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Funny Factorisation

Age
11 to 16
Challenge level
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Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?