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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
  • 3D Geometry, Shape and Space
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  • Pythagoras and Trigonometry
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Probability and statistics

  • Handling, Processing and Representing Data
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Working mathematically

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

Advanced mathematics

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

  • Early Years Foundation Stage

Transformations

Reflecting Squarely

Age 11 to 14
Challenge Level Yellow star

In how many ways can you fit all three pieces together to make shapes with line symmetry?

Shady Symmetry

Age 11 to 14
Challenge Level Yellow star

How many different symmetrical shapes can you make by shading triangles or squares?

Mirror, Mirror...

Age 11 to 14
Challenge Level Yellow star

Explore the effect of reflecting in two parallel mirror lines.

...on the Wall

Age 11 to 14
Challenge Level Yellow starYellow star

Explore the effect of reflecting in two intersecting mirror lines.

Attractive Rotations

Age 11 to 14
Challenge Level Yellow star

Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...

Robotic Rotations

Age 11 to 16
Challenge Level Yellow starYellow star

How did the the rotation robot make these patterns?

Transformation Game

Age 11 to 14
Challenge Level Yellow starYellow star

Why not challenge a friend to play this transformation game?

Who is the fairest of them all ?

Age 11 to 14
Challenge Level Yellow starYellow starYellow star

Explore the effect of combining enlargements.

Growing Rectangles

Age 11 to 14
Challenge Level Yellow star

What happens to the area and volume of 2D and 3D shapes when you enlarge them?

Fit for Photocopying

Age 14 to 16
Challenge Level Yellow starYellow starYellow star

Explore the relationships between different paper sizes.

Transformations - Short Problems

Age 11 to 16

A collection of short problems on transformations.

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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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