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problem

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Nine-pin triangles

7 to 11

How many different triangles can you make on a circular pegboard that has nine pegs?

problem

Five more coins

7 to 11

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

problem

Favourite

It's a tie

7 to 11

Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?

problem

Max throw

16 to 18

At what angle should you throw something to maximise the distance it travels?

problem

Which numbers? (2)

7 to 11

I am thinking of three sets of numbers less than 101. Can you find all the numbers in each set from these clues?

problem

Stadium sightline

14 to 18

How would you design the tiering of seats in a stadium so that all spectators have a good view?

problem

Function pyramids

16 to 18

A function pyramid is a structure where each entry in the pyramid is determined by the two entries below it. Can you figure out how the pyramid is generated?