Maths to Take Your Time Over: Age 16-18

This collection of tasks is part of the activities for 16-18 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 14-16 year olds.

  • Fit for photocopying
    problem
    Favourite

    Fit for Photocopying

    Age
    14 to 16
    Challenge level
    3 out of 3

    Explore the relationships between different paper sizes.

  • Factors and multiples graphs
    problem

    Factors and Multiples Graphs

    Age
    16 to 18
    Challenge level
    1 out of 3

    Explore creating 'factors and multiples' graphs such that no lines joining the numbers cross

  • Inverting Rational Functions
    problem

    Inverting Rational Functions

    Age
    16 to 18
    Challenge level
    2 out of 3

    Consider these questions concerning inverting rational functions

  • Few and far between?
    problem

    Few and Far Between?

    Age
    16 to 18
    Challenge level
    3 out of 3

    Can you find some Pythagorean Triples where the two smaller numbers differ by 1?