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Number and algebra

  • The Number System and Place Value
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For younger learners

  • Early Years Foundation Stage

Being Curious - Primary Number

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?

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?

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?

Ring a Ring of Numbers

Age 5 to 7
Challenge Level Yellow starYellow star

Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

More Numbers in the Ring

Age 5 to 7
Challenge Level Yellow starYellow starYellow star

If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?

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?

Number Detective

Age 5 to 11
Challenge Level Yellow star

Follow the clues to find the mystery number.

Number Differences

Age 7 to 11
Challenge Level Yellow star

Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

Tumbling Down

Age 7 to 11
Challenge Level Yellow star

Watch this animation. What do you see? Can you explain why this happens?

Curious Number

Age 7 to 11
Challenge Level Yellow starYellow starYellow star

Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

Subtraction Surprise

Age 7 to 14
Challenge Level Yellow star

Try out some calculations. Are you surprised by the results?

Nice or Nasty

Age 7 to 14
Challenge Level Yellow star

There are nasty versions of this dice game but we'll start with the nice ones...

Consecutive Numbers

Age 7 to 14
Challenge Level Yellow star

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

Three Neighbours

Age 7 to 14
Challenge Level Yellow starYellow star

Take three consecutive numbers and add them together. What do you notice?

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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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