Maths to Take Your Time over (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.

Inverting Rational Functions

Age 16 to 18
Challenge Level

Consider these questions concerning inverting rational functions

Fit for Photocopying

Age 14 to 16
Challenge Level

Explore the relationships between different paper sizes.

Factors and Multiples Graphs

Age 16 to 18
Challenge Level

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

Few and Far Between?

Age 16 to 18
Challenge Level

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