Ratio and proportion

problem
Number lines in disguise

Age

7 to 14

Challenge level

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
project
Make your own solar system

7 to 16

Making a scale model of the solar system
problem
Cereal mix

Age

11 to 14

Challenge level

A farmer is supplying a mix of seeds, nuts and dried apricots to a manufacturer of crunchy cereal bars. What combination of ingredients costing £5 per kg could he supply?
problem
Mixing lemonade

Age

11 to 14

Challenge level

Can you work out which drink has the stronger flavour?
problem
Fractions rectangle

Age

11 to 14

Challenge level

The large rectangle is divided into quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?
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
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?
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
Straw scaffold

Age

11 to 14

Challenge level

Build a scaffold out of drinking-straws to support a cup of water
problem
Mixing paints

Age

11 to 14

Challenge level

Can you work out how to produce different shades of pink paint?