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.
problem
Inverting rational functions
Age
16 to 18
Challenge level
Consider these questions concerning inverting rational functions
problem
Fit for photocopying
Age
14 to 16
Challenge level
Explore the relationships between different paper sizes.
problem
Factors and multiples graphs
Age
16 to 18
Challenge level
Explore creating 'factors and multiples' graphs such that no lines joining the numbers cross
problem
Few and far between?
Age
16 to 18
Challenge level
Can you find some Pythagorean Triples where the two smaller numbers differ by 1?