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This activity from Subtangent is based on the four colour theory, which is used by mapmakers. Resources include examples of colouring maps correctly, together with additional challenges, which cover a range of ability, for students to try themselves. Solutions for the challenges are also provided.

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This collection contains resources from the website 1001mathproblems.com by Sian Zelbo. The focus is on number bonds with use of logic in puzzles involving combinations. 

Combinations consists of seven instant maths ideas including a consideration of the number of arrangements of dots used when writing in Braille, an investigation of Pascal’s triangle, investigating the number of routes through New York, exploring the number of ways six letters can incorrectly be placed in six...

This SMILE resource contains two packs of games, investigations, worksheets and practical activities supporting the teaching and learning of combined transformations, from drawing symmetrical patterns to using matrices to perform shears.

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This challenge looks at how many common factors greater than 1 are shared by numbers, with bars representing how many factors a pair of numbers have in common. There are three grids to complete with numbers from 1 to 20 to show this relationship. This resource is suitable for Key Stage 3.

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This report from the Assessment of Performance Unit came about as an increasing interest was being focused on how students communicate mathematical ideas and what factors facilitate or hinder their thinking and performance. This booklet features a selection of...


The ability to communicate ideas clearly is a very important skill for a mathematician to have.

Learning outcomes

  • Students could be able to construct and interpret an appropriate graph table, chart or diagram from given data; will have clearly explained what their data...

These materials support teachers, careers and personal advisers who are working together to broaden knowledge of STEM opportunities amongst students and parents. Resources include posters and support materials for practitioners. Teachers may also find the following eLibrary collections useful:

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Jia-Ja Gu explains her work in research and technology for British Telecom. Her research is in connected communities, bringing innovative products and services to people in a linked and connected way. One application of her research involves putting sensors in litter bins which transmit information across a...

STEM Clubs are not just for schools! They are a powerful and enjoyable way to engage young people with science, technology, engineering and mathematics (STEM).

This poster is for anyone wishing to advertise a STEM Club in their local communities, be it a one-off session or recurring club; in a library or...

Carried out by University of Cambridge Local Examinations Syndicate for the Qualifications and Curriculum Authority (QCA) this project was instigated to investigate the equivalence of standards set in national tests over a period of several years. The experimental...

This resource develops the concept of interpreting speed as the slope of a linear graph. There is also work on translating between the equation of a line and its graphical representation.

Students consider a graph drawn to model the flow between two identical right rectangular prisms. There are subsequent...

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