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Number and algebra

  • The Number System and Place Value
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Advanced mathematics

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For younger learners

  • Early Years Foundation Stage

Number and Place Value

These activities are part of our Primary collections, which are problems grouped by topic.

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.

Next Domino

Age 5 to 7
Challenge Level Yellow star

Which comes next in each pattern of dominoes?

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?

Buzzy Bee

Age 5 to 7
Challenge Level Yellow star

Buzzy Bee was building a honeycomb. She decorated the honeycomb with a pattern using numbers. Can you discover Buzzy's pattern and fill in the empty cells for her?

100 Square Jigsaw

Age 5 to 7
Challenge Level Yellow star

Can you complete this jigsaw of the 100 square?

Snail One Hundred

Age 5 to 7
Challenge Level Yellow star

In this game, you throw a dice and move counters along the snail's body and in a spiral around the snail's shell. It is about understanding tens and ones.

Tug of War

Age 5 to 7
Challenge Level Yellow star

Can you use the numbers on the dice to reach your end of the number line before your partner beats you?

Round the Two Dice

Age 5 to 7
Challenge Level Yellow star

This activity focuses on rounding to the nearest 10.

Shut the Box

Age 5 to 7
Challenge Level Yellow star

An old game but lots of arithmetic!

Five Steps to 50

Age 5 to 7
Challenge Level Yellow star

Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?

All Change

Age 5 to 7
Challenge Level Yellow star

There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?

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?

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?

Count the Crayons

Age 5 to 7
Challenge Level Yellow star

How could you estimate the number of pencils/pens in these pictures?

Domino Sequences

Age 5 to 7
Challenge Level Yellow star

Find the next two dominoes in these sequences.

Writing Digits

Age 5 to 7
Challenge Level Yellow star

Lee was writing all the counting numbers from 1 to 20. She stopped for a rest after writing seventeen digits. What was the last number she wrote?

I Like ...

Age 5 to 7
Challenge Level Yellow star

Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

Eightness of Eight

Age 5 to 7
Challenge Level Yellow star

What do you see as you watch this video? Can you create a similar video for the number 12?

Light the Lights

Age 5 to 7
Challenge Level Yellow starYellow star

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

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?

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?

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?

What's in a Name?

Age 5 to 7
Challenge Level Yellow starYellow star

Here's a very elementary code that requires young children to read a table, and look for similarities and differences.

Grouping Goodies

Age 5 to 7
Challenge Level Yellow starYellow starYellow star

Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?

How Would We Count?

Age 5 to 11
Challenge Level Yellow star

An activity centred around observations of dots and how we visualise number arrangement patterns.

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?

That Number Square

Age 5 to 11
Challenge Level Yellow star

Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?

Count the Digits

Age 5 to 11
Challenge Level Yellow star

In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?

How Many?

Age 5 to 11
Challenge Level Yellow star

Have a look at these photos of different fruit. How many do you see? How did you count?

Dotty Six

Age 5 to 11
Challenge Level Yellow star

Dotty Six is a simple dice game that you can adapt in many ways.

Largest EvenLive

Age 5 to 11
Challenge Level Yellow star

How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

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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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