Combinations

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

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

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

Is a score of 9 more likely than a score of 10 when you roll three dice?

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

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.

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

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.

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