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Cereal Mix

11 to 14

A farmer is supplying a mix of seeds, nuts and dried apricots to a manufacturer of crunchy cereal bars. What combination of ingredients costing £5 per kg could he supply?

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Four on the Road

14 to 16

Four vehicles travel along a road one afternoon. Can you make sense of the graphs showing their motion?

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Stirling Work

16 to 18

See how enormously large quantities can cancel out to give a good approximation to the factorial function.

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X-dice

16 to 18

Explore these X-dice with numbers other than 1 to 6 on their faces. Which one is best?

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Common Remainder

11 to 14

144 divided by n leaves a remainder of 11. 220 divided by n also leaves a remainder of 11. What is n?

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Impossible Picture?

14 to 16

Under what circumstances can you rearrange a big square to make three smaller squares?

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Sums and Differences 2

7 to 11

Find the sum and difference between a pair of two-digit numbers. Now find the sum and difference between the sum and difference! What happens?

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To Log or Not to Log?

16 to 18

Which of these logarithmic challenges can you solve?

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Three Neighbours

7 to 14

Take three consecutive numbers and add them together. What do you notice?

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Nurturing Successful Mathematicians

5 to 16

This short article explores what it means to be a successful mathematician.

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Cereal Mix

Four on the Road

Stirling Work

X-dice

Common Remainder

Impossible Picture?

Sums and Differences 2

To Log or Not to Log?

Three Neighbours

Nurturing Successful Mathematicians