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For younger learners

  • Early Years Foundation Stage

Short Problem Showcase

Short Problem Showcase

Did you know we have a huge archive of short problems?

We have decide to feature some of our favourites, and if this whets your appetite, check out the full collection.

Equal Means 
Age 14 to 16
ShortChallenge Level Yellow starYellow star

What value of x makes the mean of the first three numbers in this list equal to the mean of the other four?

Red Card Blue Card 
Age 11 to 14
ShortChallenge Level Yellow starYellow star

Can you arrange the red and blue cards so that the rules are all followed?

Common Remainder 
Age 11 to 14
ShortChallenge Level Yellow starYellow starYellow star

144 divided by n leaves a remainder of 11. 220 divided by n also leaves a remainder of 11. What is n?

Magic 7 
Age 11 to 14
ShortChallenge Level Yellow starYellow starYellow star

Can you complete this magic square with the numbers from 7 to 15?

Trapezium Arch 
Age 11 to 14
ShortChallenge Level Yellow starYellow starYellow star

Weekly Problem 27 - 2007
Ten stones form an arch. What is the size of the smallest angles of the trapezoidal stones?

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Patterns in Number Sequences

These resources are designed to get you thinking about number sequences and patterns.

Secondary Student Latest

Latest list for the Lower Secondary Student page

Curriculum Topics

Problems organised by curriculum topic for lower secondary students.

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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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