Maths to Take Your Time over (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.

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

Age 14 to 16 Challenge Level:

How can we make sense of national and global statistics involving very large numbers?

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?

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?

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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NRICH is part of the family of activities in the Millennium Mathematics Project.