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Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?
Watch this animation. What do you see? Can you explain why this happens?
Choose some fractions and add them together. Can you get close to 1?
The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?
Can you compare these bars with each other and express their lengths as fractions of the black bar?
What fraction of the black bar are the other bars? Have a go at this challenging task!
This task offers opportunities to subtract fractions using A4 paper.
Aisha's division and subtraction calculations both gave the same answer! Can you find some more examples?
Can you find different ways of showing the same fraction? Try this matching game and see.
After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?
Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?
A task which depends on members of the group noticing the needs of others and responding.
How much of the square is coloured blue? How will the pattern continue?
Here is a chance to play a fractions version of the classic Countdown Game.
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.
Can all unit fractions be written as the sum of two unit fractions?
It would be nice to have a strategy for disentangling any tangled ropes...
Take a look at the video and try to find a sequence of moves that will untangle the ropes.
Imagine you were given the chance to win some money... and imagine you had nothing to lose...
A jigsaw where pieces only go together if the fractions are equivalent.
This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.
Using the picture of the fraction wall, can you find equivalent fractions?
An environment which simulates working with Cuisenaire rods.
Can you find the pairs that represent the same amount of money?
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.
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?
Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?
Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?
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?
Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.
There are lots of ideas to explore in these sequences of ordered fractions.
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.
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.
The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?
Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?
There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?
In a race the odds are: 2 to 1 against the rhinoceros winning and 3 to 2 against the hippopotamus winning. What are the odds against the elephant winning if the race is fair?
Consider the equation 1/a + 1/b + 1/c = 1 where a, b and c are natural numbers and 0 < a < b < c. Prove that there is only one set of values which satisfy this equation.
What fractions of the largest circle are the two shaded regions?
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.
According to Plutarch, the Greeks found all the rectangles with integer sides, whose areas are equal to their perimeters. Can you find them? What rectangular boxes, with integer sides, have their surface areas equal to their volumes?
At the beginning of the night three poker players; Alan, Bernie and Craig had money in the ratios 7 : 6 : 5. At the end of the night the ratio was 6 : 5 : 4. One of them won $1 200. What were the assets of the players at the beginning of the evening?
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 'TWO' it returns 2, and so on.
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.
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 for any whole numbers?
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...
My friends and I love pizza. Can you help us share these pizzas equally?