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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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  • Measuring and calculating with units
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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

Perusing Patterns

What does the word 'pattern' mean to you? Before reading any more, pause to think.

Perhaps you imagine geometrical shapes arranged in particular ways. Maybe pattern for you is about repetition. Perhaps you think of a sequence of numbers, going up in equal steps. Or...

The tasks in this feature will give you the chance to identify different kinds of pattern, copy patterns, extend patterns and create your own, all of which will help you think mathematically. 

Pattern Making

Age 3 to 5
In this activity, there are lots of different patterns for children to make, describe and extend.

Chairs and Tables

Age 5 to 7
Challenge Level Yellow star
Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!

Domino Sequences

Age 5 to 7
Challenge Level Yellow star
Find the next two dominoes in these sequences.

Repeating Patterns

Age 5 to 7
Challenge Level Yellow star
Try continuing these patterns made from triangles. Can you create your own repeating pattern?

Chain of Changes

Age 5 to 7
Challenge Level Yellow starYellow star
Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

Missing Middles

Age 5 to 7
Challenge Level Yellow starYellow star
Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of three dominoes?

Digit Addition

Age 5 to 11
Challenge Level Yellow star
Try out this number trick. What happens with different starting numbers? What do you notice?

Tables Without Tens

Age 7 to 11
Challenge Level Yellow star
Investigate and explain the patterns that you see from recording just the units digits of numbers in the times tables.

Play to 37

Age 7 to 11
Challenge Level Yellow star
In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.

Up and Down Staircases

Age 7 to 11
Challenge Level Yellow star
One block is needed to make an up-and-down staircase, with one step up and one step down. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down?

Sticky Triangles

Age 7 to 11
Challenge Level Yellow starYellow starYellow star
Can you continue this pattern of triangles and begin to predict how many sticks are used for each new "layer"?

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Digging Into Geometry

Dig deeply into geometrical ideas by having a go at the tasks in this Primary student feature.

Playing with Dice

Find a friend and play our dice games.

LP Student Latest

Latest list for the L Primary 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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