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### Five More Coins

Could Ben have any amount of money between 5p and £2 in his pocket if he has five coins?

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Five More Coins

Could Ben have any amount of money between 5p and £2 in his pocket if he has five coins?

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Fruity Pairs

Which two items of fruit could Kate and Sam choose? Can you order the prices from lowest to highest?

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Unequal Exam

120 students sit an exam with 100 marks available. What is the smallest number of pairs that are awarded the same mark?

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Polydron

This activity investigates how you might make squares and pentominoes from Polydron.

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Binomial Coefficients

An introduction to the binomial coefficient, and exploration of some of the formulae it satisfies.

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More plant spaces

This challenging activity involves finding different ways to distribute fifteen items among four sets, when the sets must include three, four, five and six items.

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More children and plants

This challenge extends the Plants investigation so now four or more children are involved.

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Those Tea Cups

Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.

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Button-Up Some More

How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?