# FRACTIONS NRICH PROBLEM SOLVING TASKS

Working on these problems will help you develop a better understanding of fractions, decimals and percentages. In this article, we will discuss each group of tasks in turn, outlining further reasons for grouping in this way and explaining why each particular task has been selected. Repeat infinitely many times, and you have the Cantor Set. Repetitiously Age 11 to 14 Challenge Level: Fair Feast Age 5 to 11 Challenge Level: Paper Halving Age 5 to 11 Challenge Level: How much of the square is coloured blue? The Egyptians expressed all fractions as the sum of different unit fractions. An environment which simulates working with Cuisenaire rods. The area that they cover doubles in size every day. Fraction Match Age 5 to 11 Challenge Level: If you play any note, twelve points higher will be exactly an octave on.

Age 7 to 11 Challenge Level: Rectangle Tangle Age 7 to 11 Challenge Level: It would be nice to have a strategy for disentangling any tangled ropes This collection of resources is designed to help you to improve your understanding of topics in Number.

Cuisenaire Environment Age 5 to 11 Challenge Level: The area that they cover doubles in size every day. Age 16 to 18 Challenge Level: What were the interesting questions that needed to be asked, and where did they lead?

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Can you work out the next two rows? Register for our mailing list. Working on these problems will help your students develop a better understanding of number operations and calculation methods. The current National Curriculum in England, which became statutory in Septembercontains more soolving related to fractions than the previous curriculum.

## Fractions KS1

Age 11 to 14 Challenge Level: Encouraging children to record their ideas themselves helps us ‘see’ their thinking and assess what they are doing. The question should always be, ‘fraction of what? Folding Fractions Age 14 to 16 Challenge Level: Use the information to find out how many there were in the bag originally. Peaches Today, Peaches Tasis Which route has the smallest product? Were they always written in the same way? What fraction of the piece of paper is the small triangle? 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.

It would be nice to have a strategy for disentangling any tangled ropes Choose some fractions and add them together. We recommend you start by reading the article, which discusses each group of tasks in turn, outlining further reasons prroblem grouping in this way and explaining why each particular task has been selected.

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An environment which simulates working with Cuisenaire rods.

# Fractions, Decimals, Percentages, Ratio and Proportion :: Fractions :

A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding. Choose four numbers and make two fractions. More Lower Primary Fractions Age 5 to 7. In our Fractions Featureof which this article is a part, we offer links to two groups of tasks: What fraction of the black bar are fractiions other bars? Continued Fractions I Age 14 to 18 An article introducing continued fractions with some simple puzzles for the reader. Twisting and Turning Age 11 to 14 Challenge Level: Fraction Fascination Age 7 to 11 Challenge Level: 