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?
Can you find ways to make twenty-link chains from these smaller chains? This gives opportunities for different approaches.
This task offers opportunities to subtract fractions using A4 paper.
My friends and I love pizza. Can you help us share these pizzas equally?
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.
What fraction of the black bar are the other bars? Have a go at this challenging task!
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?
How can you cut a doughnut into 8 equal pieces with only three cuts of a knife?
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.
Try adding fractions using A4 paper.
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. . . .
An article describing activities which will help develop young children's concept of fractions.
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?
Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?
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?
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?
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.
Here is a chance to play a fractions version of the classic Countdown Game.
Written for teachers, this article describes four basic approaches children use in understanding fractions as equal parts of a whole.
Aisha's division and subtraction calculations both gave the same answer! Can you find some more examples?
Use the fraction wall to compare the size of these fractions - you'll be amazed how it helps!
The Egyptians expressed all fractions as the sum of different unit fractions. The Greedy Algorithm might provide us with an efficient way of doing this.
There are some water lilies in a lake. The area that they cover doubles in size every day. After 17 days the whole lake is covered. How long did it take them to cover half the lake?
Pick two rods of different colours. Given an unlimited supply of rods of each of the two colours, how can we work out what fraction the shorter rod is of the longer one?
A Sudoku with clues as ratios or fractions.
Calculate the fractional amounts of money to match pairs of cards with the same value.
Choose some fractions and add them together. Can you get close to 1?
Two brothers were left some money, amounting to an exact number of pounds, to divide between them. DEE undertook the division. "But your heap is larger than mine!" cried DUM...
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?
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?
Can you find the pairs that represent the same amount of money?
One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?
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.
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.
This article, written by Nicky Goulder and Samantha Lodge, reveals how maths and marimbas can go hand-in-hand! Why not try out some of the musical maths activities in your own classroom?
Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?
Can you match pairs of fractions, decimals and percentages, and beat your previous scores?
Find out why these matrices are magic. Can you work out how they were made? Can you make your own Magic Matrix?
Take a look at the video and try to find a sequence of moves that will untangle the ropes.
There are lots of ideas to explore in these sequences of ordered fractions.
After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?
This challenge asks you to imagine a snake coiling on itself.
Investigate the successive areas of light blue in these diagrams.
A jigsaw where pieces only go together if the fractions are equivalent.
Grandma found her pie balanced on the scale with two weights and a quarter of a pie. So how heavy was each pie?
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.
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.
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?