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Number and algebra

  • The Number System and Place Value
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Probability and statistics

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Working mathematically

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Advanced mathematics

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For younger learners

  • Early Years Foundation Stage

Sequence Surprises

Sequence Surprises

Sequences may seem very predictable. Take a look at these problems and find some surprises within the structure...

Multiple Surprises 
Age 11 to 16
Challenge Level Yellow star

Sequences of multiples keep cropping up...

Fibonacci Surprises 
Age 11 to 14
Challenge Level Yellow starYellow star

Play around with the Fibonacci sequence and discover some surprising results!

Growing Surprises 
Age 11 to 14
Challenge Level Yellow star

Can you find the connections between linear and quadratic patterns?

Square Number Surprises 
Age 14 to 16
Challenge Level Yellow starYellow star

There are unexpected discoveries to be made about square numbers...

You may also like

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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