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Number and algebra

  • The Number System and Place Value
  • Calculations and Numerical Methods
  • Fractions, Decimals, Percentages, Ratio and Proportion
  • Properties of Numbers
  • Patterns, Sequences and Structure
  • Algebraic expressions, equations and formulae
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Geometry and measure

  • Angles, Polygons, and Geometrical Proof
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Probability and statistics

  • Handling, Processing and Representing Data
  • Probability

Working mathematically

  • Thinking mathematically
  • Developing positive attitudes
  • Cross-curricular contexts

Advanced mathematics

  • Decision Mathematics and Combinatorics
  • Advanced Probability and Statistics
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For younger learners

  • Early Years Foundation Stage

Playful Puzzling

Playful Puzzling


Here are some problems that we hope you will puzzle over, play with, and pit your wits against. Practise and persevere, and your persistence will pay off! 


Multiples Sudoku 
Age 11 to 14
Challenge Level Yellow star

Each clue in this Sudoku is the product of the two numbers in adjacent cells.

Shape Products 
Age 11 to 14
Challenge Level Yellow star

These eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are?

Number Families 
Age 11 to 14
Challenge Level Yellow star

How many different number families can you find?

Alison's Quilt 
Age 11 to 14
Challenge Level Yellow starYellow star

Nine squares are fitted together to form a rectangle. Can you find its dimensions?

Factors, Multiple and Primes - Short Problems 
Age 11 to 16

A collection of short problems on factors, multiples and primes.

Related

  • Factors, Multiples and Primes
  • Number Operations & Calculation Methods
  • Place Value, Integers, Ordering & Rounding

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Patterns in Number Sequences

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

Reasoning Geometrically

These resources are designed to get you thinking about geometrical reasoning.

Reasoning with Numbers

These resources are designed to get you thinking about reasoning with numbers.

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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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