Resources tagged with: Fractions

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There are 74 results

Broad Topics > Fractions, Decimals, Percentages, Ratio and Proportion > Fractions

Once Upon a Time

Age 7 to 11
Challenge Level

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?

Orange Drink

Age 7 to 11
Challenge Level

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?

A4 Fraction Subtraction

Age 7 to 11
Challenge Level

This task offers opportunities to subtract fractions using A4 paper.

Doughnut

Age 7 to 11
Challenge Level

How can you cut a doughnut into 8 equal pieces with only three cuts of a knife?

More Fraction Bars

Age 7 to 11
Challenge Level

What fraction of the black bar are the other bars? Have a go at this challenging task!

Pizza Portions

Age 7 to 11
Challenge Level

My friends and I love pizza. Can you help us share these pizzas equally?

Linked Chains

Age 7 to 11
Challenge Level

Can you find ways to make twenty-link chains from these smaller chains? This gives opportunities for different approaches.

A4 Fraction Addition

Age 7 to 11
Challenge Level

Try adding fractions using A4 paper.

Early Fraction Development

Age 5 to 11

An article describing activities which will help develop young children's concept of fractions.

Fun Time

Age 7 to 11
Challenge Level

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.

Exploring Fractions

Age 5 to 11

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. . . .

Fractions and Percentages Card Game

Age 11 to 16
Challenge Level

Can you find the pairs that represent the same amount of money?

Terminating or Not

Age 11 to 14
Challenge Level

Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?

Extending Fraction Bars

Age 7 to 11
Challenge Level

Can you compare these bars with each other and express their lengths as fractions of the black bar?

Fraction Lengths

Age 7 to 11
Challenge Level

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?

What Do You See Here?

Age 7 to 11
Challenge Level

An activity for teachers to initiate that adds to learners' developing understanding of fractions.

Andy's Marbles

Age 7 to 11
Challenge Level

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.

Fractions and Coins Game

Age 7 to 11
Challenge Level

Calculate the fractional amounts of money to match pairs of cards with the same value.

Chocolate Bars

Age 7 to 11
Challenge Level

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.

Matching Fractions, Decimals and Percentages

Age 7 to 14
Challenge Level

Can you match pairs of fractions, decimals and percentages, and beat your previous scores?

Countdown Fractions

Age 11 to 16
Challenge Level

Here is a chance to play a fractions version of the classic Countdown Game.

Ratio Sudoku 3

Age 11 to 16
Challenge Level

A Sudoku with clues as ratios or fractions.

Egyptian Fractions

Age 11 to 14
Challenge Level

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.

Jumping

Age 7 to 11
Challenge Level

After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?

Water Lilies

Age 11 to 14
Challenge Level

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?

Peaches Today, Peaches Tomorrow...

Age 11 to 14
Challenge Level

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?

Same Answer

Age 11 to 14
Challenge Level

Aisha's division and subtraction calculations both gave the same answer! Can you find some more examples?

Teaching Fractions with Understanding: Part-whole Concept

Age 5 to 14

Written for teachers, this article describes four basic approaches children use in understanding fractions as equal parts of a whole.

More Twisting and Turning

Age 11 to 16
Challenge Level

It would be nice to have a strategy for disentangling any tangled ropes...

Tweedle Dum and Tweedle Dee

Age 11 to 14
Challenge Level

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...

Almost One

Age 11 to 14
Challenge Level

Choose some fractions and add them together. Can you get close to 1?

Mathematical Swimmer

Age 11 to 14
Challenge Level

Can you work out how many lengths I swim each day?

Fair Feast

Age 5 to 11
Challenge Level

Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?

Count the Beat

Age 5 to 11

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?

Fractions Made Faster

Age 7 to 11
Challenge Level

Use the fraction wall to compare the size of these fractions - you'll be amazed how it helps!

Keep it Simple

Age 11 to 14
Challenge Level

Can all unit fractions be written as the sum of two unit fractions?

Red Balloons, Blue Balloons

Age 7 to 11
Challenge Level

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 Greedy Algorithm

Age 11 to 14
Challenge Level

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.

In the Money

Age 7 to 11
Challenge Level

One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?

Farey Sequences

Age 11 to 14
Challenge Level

There are lots of ideas to explore in these sequences of ordered fractions.

Couples

Age 11 to 14
Challenge Level

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?

Ben's Game

Age 11 to 16
Challenge Level

Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

Rod Fractions

Age 7 to 14
Challenge Level

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?

Twisting and Turning

Age 11 to 14
Challenge Level

Take a look at the video and try to find a sequence of moves that will untangle the ropes.

Magic Matrix

Age 7 to 11
Challenge Level

Find out why these matrices are magic. Can you work out how they were made? Can you make your own Magic Matrix?

Paper Halving

Age 5 to 11
Challenge Level

In how many ways can you halve a piece of A4 paper? How do you know they are halves?

Diminishing Returns

Age 11 to 14
Challenge Level

How much of the square is coloured blue? How will the pattern continue?

Snake Coils

Age 7 to 11
Challenge Level

This challenge asks you to imagine a snake coiling on itself.

Special Sums and Products

Age 11 to 14
Challenge Level

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.

Fractions in a Box

Age 7 to 11
Challenge Level

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.