List

Fractions, Decimals, Percentages, Ratio and Proportion

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?

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.

Bryony's Triangle
problem
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Bryony's Triangle

Age
7 to 11
Challenge level
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Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

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.

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?

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?

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?
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
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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?

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?

Orange Drink
problem
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Orange Drink

Age
7 to 11
Challenge level
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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?

Doughnut percents
problem
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Doughnut percents

Age
7 to 14
Challenge level
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A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.
Spiralling Decimals
game
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Spiralling Decimals

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?

Pumpkin Pie Problem
problem
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Pumpkin Pie Problem

Age
7 to 11
Challenge level
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Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?