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Or search by topic

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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  • Pythagoras and Trigonometry
  • Vectors and Matrices

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
  • Mechanics
  • Calculus

For younger learners

  • Early Years Foundation Stage

Finding All Possibilities Lower Primary

These activities focus on finding all solutions.  Working in a systematic way will ensure no possibilities are left out.

Robot Monsters

Age 5 to 7
Challenge Level Yellow star

Use these head, body and leg pieces to make Robot Monsters which are different heights.

Two Dice

Age 5 to 7
Challenge Level Yellow star

Find all the numbers that can be made by adding the dots on two dice.

Same Length Trains

Age 5 to 7
Challenge Level Yellow star

How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?

Button-up

Age 5 to 7
Challenge Level Yellow star

My coat has three buttons. How many ways can you find to do up all the buttons?

Three Ball Line Up

Age 5 to 7
Challenge Level Yellow starYellow star

Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

6 Beads

Age 5 to 7
Challenge Level Yellow starYellow star

If you put three beads onto a tens/ones abacus you can make the numbers 3, 30, 12 or 21. What numbers can be made with six beads?

A City of Towers

Age 5 to 7
Challenge Level Yellow star

In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

Ladybirds in the Garden

Age 5 to 7
Challenge Level Yellow starYellow star

In Sam and Jill's garden there are two sorts of ladybirds with 7 spots or 4 spots. What numbers of total spots can you make?

Triangle Animals

Age 5 to 7
Challenge Level Yellow starYellow star

How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?

Inside Triangles

Age 5 to 7
Challenge Level Yellow star

How many different triangles can you draw on the dotty grid which each have one dot in the middle?

Beads and Bags

Age 5 to 11
Challenge Level Yellow star

How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?

Five Coins

Age 5 to 11
Challenge Level Yellow starYellow star

Ben has five coins in his pocket. How much money might he have?

School Fair Necklaces

Age 5 to 11
Challenge Level Yellow starYellow star

How many possible symmetrical necklaces can you find? How do you know you've found them all?

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Dienes' Logiblocs

This problem focuses on Dienes' Logiblocs. What is the same and what is different about these pairs of shapes? Can you describe the shapes in the picture?

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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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