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For younger learners

  • Early Years Foundation Stage

What If ... ? - Upper Primary

Here are some exciting activities for you - have a go at them and then see what happens if you change one of the little questions. You may be able to change it more than just once!


Board Block for Two

Age 5 to 7
Challenge Level Yellow star

Board Block game for two. Can you stop your partner from being able to make a shape on the board?

Money Bags

Age 5 to 11
Challenge Level Yellow starYellow star

Ram divided 15 pennies among four small bags. He could then pay any sum of money from 1p to 15p without opening any bag. How many pennies did Ram put in each bag?

Transformations on a Pegboard

Age 7 to 11
Challenge Level Yellow star

How would you move the bands on the pegboard to alter these shapes?

Exploring Wild & Wonderful Number Patterns

Age 7 to 11
Challenge Level Yellow star

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.

Magic Vs

Age 7 to 11
Challenge Level Yellow star

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

Follow the Numbers

Age 7 to 11
Challenge Level Yellow star

What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.

Roll These Dice

Age 7 to 11
Challenge Level Yellow starYellow star

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

This Pied Piper of Hamelin

Age 7 to 11
Challenge Level Yellow starYellow star

Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

Board Block Challenge

Age 7 to 11
Challenge Level Yellow starYellow starYellow star

Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?

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.

Got It

Age 7 to 14
Challenge Level Yellow starYellow star

A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

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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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