List

Fractions, Decimals, Percentages, Ratio and Proportion

Fraction Match
problem
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Fraction Match

Age
5 to 11
Challenge level
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A task which depends on members of the group noticing the needs of others and responding.

Round the Dice Decimals 2
problem
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Round the Dice Decimals 2

Age
7 to 11
Challenge level
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What happens when you round these numbers to the nearest whole number?

Matching fractions
problem
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Matching Fractions

Age
7 to 11
Challenge level
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Can you find different ways of showing the same fraction? Try this matching game and see.

Round the Dice Decimals 1
problem
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Round the Dice Decimals 1

Age
7 to 11
Challenge level
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Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

Greater Than or Less Than?
problem
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Greater Than or Less Than?

Age
7 to 11
Challenge level
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Use the numbers and symbols to make this number sentence correct. How many different ways can you find?
A4 Fraction Subtraction
problem
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A4 Fraction Subtraction

Age
7 to 11
Challenge level
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This task offers opportunities to subtract fractions using A4 paper.

Would You Rather?
problem
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Would You Rather?

Age
7 to 11
Challenge level
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Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?

Tumbling Down
problem
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Tumbling Down

Age
7 to 11
Challenge level
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Watch this animation. What do you see? Can you explain why this happens?

problem
Favourite

Rectangle Tangle

Age
7 to 11
Challenge level
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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?

Fractional Triangles
problem
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Fractional Triangles

Age
7 to 11
Challenge level
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Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

Fractional Wall
problem
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Fractional Wall

Age
7 to 11
Challenge level
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Using the picture of the fraction wall, can you find equivalent fractions?

Route Product
problem
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Route Product

Age
7 to 11
Challenge level
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Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?

Fraction Lengths
problem
Favourite

Fraction Lengths

Age
7 to 11
Challenge level
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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?

A4 Fraction Addition
problem
Favourite

A4 Fraction Addition

Age
7 to 11
Challenge level
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Try adding fractions using A4 paper.

More Fraction Bars
problem
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More Fraction Bars

Age
7 to 11
Challenge level
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What fraction of the black bar are the other bars? Have a go at this challenging task!

Extending Fraction Bars
problem
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Extending Fraction Bars

Age
7 to 11
Challenge level
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Can you compare these bars with each other and express their lengths as fractions of the black bar?

problem
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Doughnut Percents

Age
7 to 14
Challenge level
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Can you make doughnuts by matching these fractions, decimals and percentages?

Spiralling Decimals
game
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Spiralling Decimals

Age
7 to 14
Challenge level
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Take turns to place a decimal number on the spiral. Can you get three consecutive numbers?

Chocolate
problem
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Chocolate

Age
7 to 14
Challenge level
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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 the Money
problem
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In the Money

Age
7 to 11
Challenge level
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One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?

Fractions in a Box
problem
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Fractions in a Box

Age
7 to 11
Challenge level
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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.

Andy's Marbles
problem
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Andy's Marbles

Age
7 to 11
Challenge level
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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.

Forgot the Numbers
problem
Favourite

Forgot the Numbers

Age
7 to 11
Challenge level
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On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?

Fraction Fascination
problem
Favourite

Fraction Fascination

Age
7 to 11
Challenge level
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This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.