Annie cut this numbered cake into 3 pieces with 3 cuts so that the numbers on each piece added to the same total. Where were the cuts and what fraction of the whole cake was each piece?
The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.
Find out why these matrices are magic. Can you work out how they were made? Can you make your own Magic Matrix?
Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?
Using some or all of the operations of addition, subtraction, multiplication and division and using the digits 3, 3, 8 and 8 each once and only once make an expression equal to 24.
After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?
One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?
Calculate the fractional amounts of money to match pairs of cards with the same value.
An interactive game to be played on your own or with friends. Imagine you are having a party. Each person takes it in turns to stand behind the chair where they will get the most chocolate.
This task offers opportunities to subtract fractions using A4 paper.
Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?
A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?
Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. Use the information to find out how many there were in the bag originally.
Investigate the successive areas of light blue in these diagrams.
Katie and Will have some balloons. Will's balloon burst at exactly the same size as Katie's at the beginning of a puff. How many puffs had Will done before his balloon burst?
How can you cut a doughnut into 8 equal pieces with only three cuts of a knife?
Grandma found her pie balanced on the scale with two weights and a quarter of a pie. So how heavy was each pie?
What fraction of the black bar are the other bars? Have a go at this challenging task!
Try adding fractions using A4 paper.
An activity for teachers to initiate that adds to learners' developing understanding of fractions.
Can you compare these bars with each other and express their lengths as fractions of the black bar?
On Saturday, Asha and Kishan's grandad took them to a Theme Park. Use the information to work out how long were they in the theme park.
An article describing activities which will help develop young children's concept of fractions.
This article, written for primary teachers, links to rich tasks which will help develop the underlying concepts associated with fractions and offers some suggestions for models and images that help. . . .
My friends and I love pizza. Can you help us share these pizzas equally?
When I type a sequence of letters my calculator gives the product of all the numbers in the corresponding memories. What numbers should I store so that when I type 'ONE' it returns 1, and when I type. . . .
Can you find combinations of strips of paper which equal the length of the black strip? If the length of the black is 1, how could you write the sum of the strips?
In how many ways can you halve a piece of A4 paper? How do you know they are halves?
Here is a chance to play a fractions version of the classic Countdown Game.
Can you find ways to make twenty-link chains from these smaller chains? This gives opportunities for different approaches.
Can you work out how many lengths I swim each day?
Use the fraction wall to compare the size of these fractions - you'll be amazed how it helps!
A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?
The items in the shopping basket add and multiply to give the same amount. What could their prices be?
A Sudoku with clues as ratios or fractions.
This challenge asks you to imagine a snake coiling on itself.
An environment which simulates working with Cuisenaire rods.
Written for teachers, this article describes four basic approaches children use in understanding fractions as equal parts of a whole.
Who first used fractions? Were they always written in the same way? How did fractions reach us here? These are the sorts of questions which this article will answer for you.
Can all unit fractions be written as the sum of two unit fractions?
Aisha's division and subtraction calculations both gave the same answer! Can you find some more examples?
In a certain community two thirds of the adult men are married to three quarters of the adult women. How many adults would there be in the smallest community of this type?
Can you match pairs of fractions, decimals and percentages, and beat your previous scores?
Can you work out the height of Baby Bear's chair and whose bed is whose if all the things the three bears have are in the same proportions?
Can you find the pairs that represent the same amount of money?
The Egyptians expressed all fractions as the sum of different unit fractions. Here is a chance to explore how they could have written different fractions.
Imagine you were given the chance to win some money... and imagine you had nothing to lose...
There are lots of ideas to explore in these sequences of ordered fractions.
Find some examples of pairs of numbers such that their sum is a factor of their product. eg. 4 + 12 = 16 and 4 × 12 = 48 and 16 is a factor of 48.
How much of the square is coloured blue? How will the pattern continue?