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?
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. . . .
This task offers opportunities to subtract fractions using A4 paper.
What fraction of the black bar are the other bars? Have a go at this challenging task!
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.
Calculate the fractional amounts of money to match pairs of cards with the same value.
A Sudoku with clues as ratios or fractions.
How can you cut a doughnut into 8 equal pieces with only three cuts of a knife?
Here is a chance to play a fractions version of the classic Countdown Game.
My friends and I love pizza. Can you help us share these pizzas equally?
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.
Can you find ways to make twenty-link chains from these smaller chains? This gives opportunities for different approaches.
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?
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.
An activity for teachers to initiate that adds to learners' developing understanding of fractions.
An article describing activities which will help develop young children's concept of fractions.
Can you compare these bars with each other and express their lengths as fractions of the black bar?
Can you find the pairs that represent the same amount of money?
Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?
Aisha's division and subtraction calculations both gave the same answer! Can you find some more examples?
Written for teachers, this article describes four basic approaches children use in understanding fractions as equal parts of a whole.
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?
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?
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?
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 all unit fractions be written as the sum of two unit fractions?
Take a look at the video and try to find a sequence of moves that will untangle the ropes.
It would be nice to have a strategy for disentangling any tangled ropes...
This challenge asks you to imagine a snake coiling on itself.
Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?
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?
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.
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.
After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?
Use the fraction wall to compare the size of these fractions - you'll be amazed how it helps!
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.
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 work out how many lengths I swim each day?
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?
One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?
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...
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.
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?
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 � 1 [1/3]. What other numbers have the sum equal to the product and can this be so. . . .
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?
A personal investigation of Conway's Rational Tangles. What were the interesting questions that needed to be asked, and where did they lead?