Maths to Take Your Time Over: Age 14-16

This collection of tasks is part of the activities for 14-16 year olds section of the Maths at Home feature. The activities below are worth exploring over a few days, or even a few weeks! The stars represent the challenge level, with three stars indicating the most challenging activities. 

You may also wish to explore Maths to Take Your Time Over for 11-14 year olds, and Maths to Take Your Time Over for 16-18 year olds.

  • Funny Factorisation
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    Funny Factorisation

    Age
    11 to 16
    Challenge level

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

  • Generating Triples
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    Generating Triples

    Age
    14 to 16
    Challenge level

    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

    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

    Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?

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