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problem

Hallway borders

11 to 14

What are the possible dimensions of a rectangular hallway if the number of tiles around the perimeter is exactly half the total number of tiles?

problem

Favourite

In a box

14 to 16

Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?

problem

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Fa cup

16 to 18

In four years 2001 to 2004 Arsenal have been drawn against Chelsea in the FA cup and have beaten Chelsea every time. What was the probability of this? Lots of fractions in the calculations!

problem

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Orange drink

7 to 11

A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?

problem

Favourite

Are you well balanced?

5 to 7

Can you work out how to make each side of this balance equally balanced? You can put more than one weight on a hook.

problem

Cuboid-in-a-box

7 to 11

What is the smallest cuboid that you can put in this box so that you cannot fit another that's the same into it?

problem

Hold still please

16 to 18

Can you arrange a set of charged particles so that none of them start to move when released from rest?

problem

It's a fence!

5 to 11

In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.

problem

Favourite

The hair colour game

7 to 11

The class were playing a maths game using interlocking cubes. Can you help them record what happened?

problem

Building with rods

7 to 11

In how many ways can you stack these rods, following the rules?