# NRICH PROBLEM SOLVING WITH FRACTIONS DECIMALS AND PERCENTAGES

Working on these problems will help you develop a better understanding of fractions, decimals and percentages. A group of monkeys eat various fractions of a harvest of peanuts. Use the information to find out how many there were in the bag originally. How many sheep are in Jacob’s flock? You may also like Cubes How many faces can you see when you arrange these three cubes in different ways? Can you find combinations of strips of paper which equal the length of the black strip? After 17 days the whole lake is covered. Find the number indicated. An investigation involving adding and subtracting sets of consecutive numbers. We only need 7 numbers for modulus or clock arithmetic mod 7 including working with 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.

Stetch it out to match the original length.

# Maths Search :

Whenever a monkey has peaches, he always keeps a fraction of them each day, gives the rest away, and then eats one. An environment which simulates working with Cuisenaire rods.

Will you be the first to have three sixes in a straight line? Can it Be Age 16 to 18 Challenge Level: Bracelets Investigate the different shaped bracelets you could make from 18 different spherical beads. Mixing Lemonade Age 11 to 14 Challenge Level: Three-quarters of the junior members of a tennis club are boys and the rest are girls.

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

Fractions Unpacked – Starting Points Age 5 to 11 This group of tasks provides a chance for meaningful mathematical discussion about fractions and sharing of current understanding.

Which percenatges has the smallest product? Peaches Today, Peaches Tomorrow Ratio Sudoku 1 Age 11 to 16 Challenge Level: Imagine a strip with a mark somewhere along it. The large rectangle is divided into a series of smaller quadrilaterals and triangles.

## Fractions, Decimals and Percentages – Short Problems

If the numbers are both under 50, what are they? Can you work out which drink has the stronger flavour? Repetitiously Age 11 to 14 Challenge Level: An investigation involving adding and subtracting sets of consecutive numbers.

How does it help to catch and mark 40 fish? Try this matching game and see.

This collection of resources is designed to help you to improve your understanding of topics in Number. Here is a chance to explore how they could have ddcimals different fractions. There are lots of ideas to explore in these sequences of ordered fractions. Set your own level of challenge and beat your own previous best score.

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I need a figure for the fish population in a lake. After this they all had the same number of counters. What fraction of the black bar are the other bars? How will percetnages pattern continue? A personal investigation of Conway’s Rational Tangles. Fractions Jigsaw Age 11 to 14 Challenge Level: Doughnut Percents Age 7 to 14 Challenge Level: A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.

## Fractions, Decimals & Percentages

Fractions Age 7 to 11 Explore the idea of fractions using these activities. What fraction of the points were scored in the second half?

Can you find combinations of strips of paper which equal the length of the black strip? Use the information to find out how many discs of each colour there are in the box. Can all unit fractions be written as the sum of two unit fractions? 