Ratio and proportion

problem
Straw scaffold

Age

11 to 14

Challenge level

Build a scaffold out of drinking-straws to support a cup of water
problem
Toad in the hole

Age

11 to 14

Challenge level

Is it cheaper to cook a meal from scratch or to buy a ready meal? What difference does the number of people you're cooking for make?
problem
The fastest cyclist

Age

14 to 16

Challenge level

Andy is desperate to reach John o'Groats first. Can you devise a winning race plan?
problem
Nutrition and cycling

Age

14 to 16

Challenge level

Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
problem
Triathlon and fitness

Age

11 to 14

Challenge level

The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
problem
Tray bake

Age

11 to 14

Challenge level

My recipe is for 12 cakes - how do I change it if I want to make a different number of cakes?
project
Make your own solar system

Making a scale model of the solar system
problem
Retiring to paradise

Age

11 to 14

Challenge level

When Charlie retires, he's looking forward to the quiet life, whereas Alison wants a busy and exciting retirement. Can you advise them on where they should go?
problem
Tennis club

Age

14 to 16

Challenge level

Three-quarters of the junior members of a tennis club are boys and the rest are girls. What is the ratio of boys to girls among these members?
problem
Speed-time problems at the Olympics

Age

14 to 16

Challenge level

Have you ever wondered what it would be like to race against Usain Bolt?