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For younger learners

  • Early Years Foundation Stage

To Iff or Not to Iff?


In this feature you will find a selection of problems that will require you to reason logically.  You will also be introduced to the symbols $\implies$ and $\iff$ and be challenged to use these to create true statements.

Plus magazine has a selection of interesting articles looking at logic, mathematical logic, its role in computer science and the philosophy of maths, and on how it's being used in applications.

River Crossing

Age 11 to 18
Challenge Level Yellow star
There is nothing half so much worth doing as simply messing about in boats...

Iffy Logic

Age 14 to 18
Challenge Level Yellow star
Can you rearrange the cards to make a series of correct mathematical statements?

IFFY Triangles

Age 14 to 18
Challenge Level Yellow star
Can you prove these triangle theorems both ways?

The Tour De Clochemerle

Age 14 to 18
Challenge Level Yellow star
Can you work out where these 5 riders came in a not-quite-so-famous bike race?

Iff

Age 14 to 18
Challenge Level Yellow starYellow star
Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?

Mind Your Ps and Qs

Age 16 to 18
Challenge Level Yellow starYellow star
Sort these mathematical propositions into a series of 8 correct statements.

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Making Sense of Statistics

This collection of problems has been put together to help you to explore and understand important ideas in statistics.

The Value of Working Systematically

These problems are best solved using systematic approaches.

Integration as Area

These problems invite you to explore integration as area, and use area integrals to solve problems.

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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.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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