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The Dangerous Ratio
This article for pupils and teachers looks at a number that even the great mathematician, Pythagoras, found terrifying.
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Overarch 1
16 to 18
This short question asks if you can work out the most precarious way to balance four tiles.
problem
Nutty Mixture
7 to 11
Use the ratio of cashew nuts to peanuts to find out how many peanuts Rachel has. What would the ratio be if Rachel and Marianne mixed their bags?
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Magic Constants
7 to 11
In a Magic Square all the rows, columns and diagonals add to the 'Magic Constant'. How would you change the magic constant of this square?
problem
The Bridges of Konigsberg
11 to 18
Investigate how networks can be used to solve a problem for the 18th Century inhabitants of Konigsberg.
game
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Dicey Perimeter, Dicey Area
7 to 11
In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?
problem
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Finding Fifteen
7 to 11
Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?
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Doplication
7 to 11
We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?
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More Less Is More
7 to 14
In each of these games, you will need a little bit of luck and your knowledge of place value to develop a winning strategy.
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Tilted Squares
11 to 14
It's easy to work out the areas of most squares that we meet, but what if they were tilted?