Working with Highly Able Mathematicians - Secondary

Age 11 to 18
Article by Legacy Import

Published 2011 Revised 2019

Enrichment is for everyone - it is not exclusive but inclusive. In meeting the needs of our most able learners we can also engage and challenge all our pupils. Using rich tasks accessible to a wide range of ability enables you not only to stretch the able but identify those that might not normally shine.

The resources here are designed to support a session run by colleagues from the NRICH team. The aim is to:
  • engage in and evaluate a range of tasks by reflecting on their own thinking and reasoning,
  • examine approaches to teacher intervention that might help to develop mathematical thinking.

Problems to act as stimuli for discussion.

The documents in the "Notes and Guidance " section below contain questions and prompts to aid discussion.


Making Rectangle, making squares (Apr 2001)
Isosceles Triangles (Feb 05)
Tilted Square (sep 2004)
Square it game (Oct 2004)
Virtual geoboard (July 2005)
Triangles in circles (July 2005)
Subtended angles (July 2005)
Route to Infnity (March 2007)

Possibilities, Probability and graphs

Odds and Evens (Nov 2005)
Cosy Corner (Nov 2005)
Twos Company (Nov 2005)
How far does it move? (Mar 2006)

Number and algebra

Chocolate Bars (March 2002)
Take three from five (Oct 2003)
Number Pyramids (May 2004)
Squares squares and more squares (Apr 2003)
Squares in rectangles (July 2006)
Sequences and Series (May 2004)


The site has a number of Sudoku puzzles with a particular mathematical twist. Try Product Sudoku .

Curriculum mapping

We are beginning to link some of our favourite NRICH problems to curriculum documents. You can find KS3 framework links here .

Notes and guidance

Problem solving and mathematical thinking notes .
Bloom's Taxonomy .
Gifted Education .
Working Effectively with able learners .