A collection of short Stage 3 and 4 problems on Reasoning, Justifying, Convincing and Proof.
Read a range of reports from different schools about embedding rich mathematics in their setting
A collection of short Stage 3 and 4 problems on Thinking Strategically.
A collection of short problems on transformations.
A collection of short Stage 3 and 4 problems on Working Systematically.
Test yourself with these short challenges
Develop your skills of visualisation of mathematical objects
A collection of short Stage 3 and 4 problems on Visualising.
A collection of short Stage 3 and 4 problems on Representing.
A collection of short problems on area and volume.
Early Years articles.
A collection of short problems on creating algebraic expressions.
A collection of short problems on 3D shapes.
Anyone should be able to make a start on any of these resources. They are our favourites because they really get you thinking mathematically.
A collection of short problems on Angles, Polygons and Geometrical Proof.
This is our secondary collection of favourite mathematics and sport materials.
This is our collection of favourite mathematics and sport materials.
A collection of short problems on fractions, decimals and percentages.
A collection of short problems on Pythagoras's Theorem and Trigonometry.
A collection of short problems on place value, integers, ordering and rounding.
A collection of short problems on factors, multiples and primes.
A collection of short problems to test your understanding of place value.
This feature outlines aspects to consider to create a space in which problem solving can flourish.
Our first Advanced Problem Solving module provides a gentle introduction to being a problem-solver.
The focus of this feature is to show that every lesson can be a problem solving lesson.
Choose one of the problems below.
These problems are all fairly well-known problems that we think all mathematics students should meet at some point in their education.
Some extra resources to support work on Factors and Multiples at Secondary level.
Short problems for secondary students on patterns and sequences
A collection of short Stage 3 and 4 problems on Posing Questions and Making Conjectures.
The key to solving these problems is to notice patterns or properties. Encouraging students to organise their work systematically allows them to notice what might not otherwise be obvious.
Choose a problem, investigation or game. Which is your favourite?
This module offers last-minute hints, advice and practice for preparing for advanced problem solving examinations.
These tasks focus on developing key problem-solving skills: visualising, working backwards, reasoning logically, conjecturing, working systematically, looking for patterns, and trial and improvement.
Choose from one of the four problems below.
This selection of problems is designed to help you teach Perimeter and Area.
This selection of problems challenges students to use their understanding of perimeter and area of shapes made from circles.
These resources can be used with older students to improve their skills of working systematically.
These problems are best solved using systematic approaches.
The features on this page are linked to the three aims of the National Curriculum - number fluency, reasoning and problem solving.
Problems about working systematically for use with Stage 5 students.
A collection of short Stage 3 and 4 problems on Mathematical Modelling.
This collection offers resources for teaching perimeter, area, volume, and finally integration.
This module will help you to improve your trigonometry skills and understanding.
This feature will help you embed the three aims of the curriculum into the teaching and learning of geometry.
A collection of resources to support work on Factors and Multiples at Secondary level.
These tasks lend themselves to exploring the role teachers play in encouraging a problem-solving approach.
These tasks are a good starting point for encouraging positive 'Habits of Mind' - collaboration, determination, thoughtfulness and curiosity.