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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
  • Measuring and calculating with units
  • Transformations and constructions
  • 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

KS1 Roadshow

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?

What Shape and Colour?

Age 5 to 7
Challenge Level Yellow star

Can you fill in the empty boxes in the grid with the right shape and colour?

Domino Sequences

Age 5 to 7
Challenge Level Yellow star

Find the next two dominoes in these sequences.

Incey Wincey Spider

Age 5 to 7
Challenge Level Yellow star

You'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?

Share Bears

Age 5 to 7
Challenge Level Yellow star

Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?

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.

Skip Counting

Age 5 to 7
Challenge Level Yellow star

Find the squares that Froggie skips onto to get to the pumpkin patch. She starts on 3 and finishes on 30, but she lands only on a square that has a number 3 more than the square she skips from.

Sort the Street

Age 5 to 7
Challenge Level Yellow star

Sort the houses in my street into different groups. Can you do it in any other ways?

Next Domino

Age 5 to 7
Challenge Level Yellow star

Which comes next in each pattern of dominoes?

Number Lines

Age 5 to 7
Challenge Level Yellow star

A resource to try once children are familiar with number lines, and they have begun to use them for addition. It could be a good way to talk about subtraction. Leah and Tom each have a number line. Can you work out where their counters will land?

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.

Butterfly Flowers

Age 5 to 7
Challenge Level Yellow star

Can you find two butterflies to go on each flower so that the numbers on each pair of butterflies adds to the number on their flower?

Two-digit Targets

Age 5 to 7
Challenge Level Yellow star

You have a set of the digits from 0 to 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

Biscuit Decorations

Age 5 to 7
Challenge Level Yellow star

Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?

Making Sticks

Age 5 to 7
Challenge Level Yellow starYellow star

Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?

Teddy Bear Line-up

Age 5 to 7
Challenge Level Yellow starYellow star

What is the least number of moves you can take to rearrange the bears so that no bear is next to a bear of the same colour?

Domino Join Up

Age 5 to 7
Challenge Level Yellow starYellow star

Can you arrange fifteen dominoes so that all the touching domino pieces add to 6 and the ends join up? Can you make all the joins add to 7?

3 Blocks Towers

Age 5 to 7
Challenge Level Yellow starYellow star

Take three differently coloured blocks - maybe red, yellow and blue. Make a tower using one of each colour. How many different towers can you make?

Mixed-up Socks

Age 5 to 7
Challenge Level Yellow starYellow star

Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?

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?

What Is the Time?

Age 5 to 11
Challenge Level Yellow star

Can you put these times on the clocks in order? You might like to arrange them in a circle.

Whose Face?

Age 5 to 11
Challenge Level Yellow star

These are the faces of Will, Lil, Bill, Phil and Jill. Use the clues to work out which name goes with each face.

Seeing Squares

Age 5 to 11
Challenge Level Yellow star

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Number Detective

Age 5 to 11
Challenge Level Yellow star

Follow the clues to find the mystery number.

Four Triangles Puzzle

Age 5 to 11
Challenge Level Yellow star

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

Nim-7

Age 5 to 11
Challenge Level Yellow star

Can you work out how to win this game of Nim? Does it matter if you go first or second?

Tangrams

Age 5 to 11
Challenge Level Yellow starYellow star

Can you make five differently sized squares from the interactive tangram pieces?

Teddy Town

Age 5 to 11
Challenge Level Yellow starYellow star

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

Three by Three

Age 5 to 11
Challenge Level Yellow starYellow star

Arrange 3 red, 3 blue and 3 yellow counters into a three-by-three square grid, so that there is only one of each colour in every row and every column

Four Colours

Age 5 to 11
Challenge Level Yellow starYellow star

Kate has eight multilink cubes. She has two red ones, two yellow, two green and two blue. She wants to fit them together to make a cube so that each colour shows on each face just once.

Ladybird Box

Age 5 to 11
Challenge Level Yellow starYellow star

Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.

Three Way Mix Up

Age 5 to 11
Challenge Level Yellow starYellow star

Jack has nine tiles. He put them together to make a square so that two tiles of the same colour were not beside each other. Can you find another way to do it?

The Third Dimension

Age 5 to 11
Challenge Level Yellow starYellow starYellow star

Here are four cubes joined together. How many other arrangements of four cubes can you find? Can you draw them on dotty paper?

4 Dom

Age 5 to 11
Challenge Level Yellow starYellow starYellow star

Use these four dominoes to make a square that has the same number of dots on each side.

Two Stones

Age 5 to 18

This game is known as Pong hau k'i in China and Ou-moul-ko-no in Korea. Find a friend to play or try the interactive version online.

You may also like

Tangrams

Can you make five differently sized squares from the interactive tangram pieces?

Teddy Town

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

3 Blocks Towers

Take three differently coloured blocks - maybe red, yellow and blue. Make a tower using one of each colour. How many different towers can you make?

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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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