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Number and algebra

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For younger learners

  • Early Years Foundation Stage

Being Resourceful - Upper Primary Number

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?

Dotty Six

Age 5 to 11
Challenge Level Yellow star

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

Cows and Sheep

Age 7 to 11
Challenge Level Yellow star

Use your logical reasoning to work out how many cows and how many sheep there are in each field.

Shape Times Shape

Age 7 to 11
Challenge Level Yellow star

These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

Play to 37

Age 7 to 11
Challenge Level Yellow star

In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.

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?

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?

First Connect Three

Age 7 to 11
Challenge Level Yellow star

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

Four Go

Age 7 to 11
Challenge Level Yellow starYellow star

This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?

Shapes on the Playground

Age 7 to 11
Challenge Level Yellow starYellow star

Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?

Mystery Matrix

Age 7 to 11
Challenge Level Yellow starYellow star

Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.

Make 37

Age 7 to 11
Challenge Level Yellow starYellow star

Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?

The Remainders Game

Age 7 to 14
Challenge Level Yellow star

Play this game and see if you can figure out the computer's chosen number.

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...

Factor Lines

Age 7 to 14
Challenge Level Yellow starYellow star

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Dicey Operations

Age 11 to 14
Challenge Level Yellow star

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

Two and Two

Age 11 to 16
Challenge Level Yellow starYellow starYellow star

How many solutions can you find to this sum? Each of the different letters stands for a different number.

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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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