See also: Matching topics (10) Matching titles (54)

65 problems, 7 games, 49 articles, 23 general resources, 2 interactive environments, 80 Lists, 37 from Stage 1, 65 from Stage 2, 88 from Stage 3, 67 from Stage 4, 54 from Stage 5

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

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

Using the picture of the fraction wall, can you find equivalent fractions?

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.

In this feature we offer rich tasks to build learners' deep conceptual understanding of fractions.

A jigsaw where pieces only go together if the fractions are equivalent.

To break down an algebraic fraction into partial fractions in which all the denominators are linear and all the numerators are constants you sometimes need complex numbers.

Match the cards of the same value.

Can you fit the tangram pieces into the outlines of the chairs?

Exploring interesting patterns and sequences generated with fractions.

Whenever a monkey has peaches, he always keeps a fraction of them each day, gives the rest away, and then eats one. How long could he make his peaches last for?

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

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

Weekly Problem 44 - 2013

If you know that a fraction of X is the same as a different fraction of Y, can you work out X/Y?

Find a great variety of ways of asking questions which make 8.

Can you find different ways of showing the same fraction? Try this matching game and see.

What fractions can you divide the diagonal of a square into by simple folding?

Weekly Problem 46 - 2014

Which of these powers of fractions has greatest value?

This group of tasks provides a chance for meaningful mathematical discussion about fractions and sharing of current understanding.

A group of interactive resources to support work on percentages Key Stage 4.

What fractions can you find between the square roots of 65 and 67?

We only need 7 numbers for modulus (or clock) arithmetic mod 7 including working with fractions. Explore how to divide numbers and write fractions in modulus arithemtic.

An article introducing continued fractions with some simple puzzles for the reader.

Can you find a fraction with the following properties?

Working on these problems will help your students develop a better understanding of fractions, decimals and percentages.

An activity based on the game 'Pelmanism'. Set your own level of challenge and beat your own previous best score.

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?

The number 2.525252525252.... can be written as a fraction. What is the sum of the denominator and numerator?

An environment which simulates working with Cuisenaire rods.

Work out the fractions to match the cards with the same amount of money.

Use Excel to practise adding and subtracting fractions.

This problem is a sequence of linked mini-challenges leading up to the proof of a difficult final challenge, encouraging you to think mathematically. Starting with one of the mini-challenges, how. . . .

Which of these continued fractions is bigger and why?

An environment which simulates working with Cuisenaire rods.

Choose four numbers and make two fractions. Use an Excel spreadsheet to investigate their properties. Can you generalise?

The diagonal of a square intersects the line joining one of the unused corners to the midpoint of the opposite side. What do you notice about the line segments produced?

Given two algebraic fractions, how can you decide when each is bigger?

Can you fit the tangram pieces into the outline of Little Fung at the table?

Can you see how to build a harmonic triangle? Can you work out the next two rows?

The tasks in this group reflect a progression of ideas associated with fractions but crucially also offer opportunities for learners to develop their problem-solving and reasoning skills.