Can you match pairs of fractions, decimals and percentages, and beat your previous scores?
Can you find the pairs that represent the same amount of money?
Calculate the fractional amounts of money to match pairs of cards with the same value.
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?
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?
A Sudoku with clues as ratios or fractions.
It would be nice to have a strategy for disentangling any tangled ropes...
Can all unit fractions be written as the sum of two unit fractions?
Here is a chance to play a fractions version of the classic Countdown Game.
How much of the square is coloured blue? How will the pattern continue?
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?
Choose some fractions and add them together. Can you get close to 1?
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.
Can you find ways to make twenty-link chains from these smaller chains? This gives opportunities for different approaches.
Written for teachers, this article describes four basic approaches children use in understanding fractions as equal parts of a whole.
Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?
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?
This is a 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.
Aisha's division and subtraction calculations both gave the same answer! Can you find some more examples?
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?
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.
This task offers opportunities to subtract fractions using A4 paper.
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?
The sum of the numbers 4 and 1 [1/3] is the same as the product of 4 and 1 [1/3]; that is to say 4 + 1 [1/3] = 4 ï¿½ 1 [1/3]. What other numbers have the sum equal to the product and can this be. . . .
This challenge asks you to imagine a snake coiling on itself.
What fraction of the black bar are the other bars? Have a go at this challenging task!
Try adding fractions using A4 paper.
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. . . .
An activity for teachers to initiate that adds to learners' developing understanding of fractions.
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.
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.
Can you compare these bars with each other and express their lengths as fractions of the black bar?
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...
An environment which simulates working with Cuisenaire rods.
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.
My friends and I love pizza. Can you help us share these pizzas equally?
A jigsaw where pieces only go together if the fractions are equivalent.
There are lots of ideas to explore in these sequences of ordered fractions.
Take a line segment of length 1. Remove the middle third. Remove the middle thirds of what you have left. Repeat infinitely many times, and you have the Cantor Set. Can you picture it?
How can you cut a doughnut into 8 equal pieces with only three cuts of a knife?
A personal investigation of Conway's Rational Tangles. What were the interesting questions that needed to be asked, and where did they lead?
Find out why these matrices are magic. Can you work out how they were made? Can you make your own Magic Matrix?
Can you work out how many lengths I swim each day?
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?
Anne completes a circuit around a circular track in 40 seconds. Brenda runs in the opposite direction and meets Anne every 15 seconds. How long does it take Brenda to run around the track?
Take a look at the video and try to find a sequence of moves that will untangle the ropes.
Can you predict, without drawing, what the perimeter of the next shape in this pattern will be if we continue drawing them in the same way?
One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?
Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?