Ratio and proportion

problem

Number the Sides

Age

7 to 11

Challenge level

The triangles in these sets are similar - can you work out the lengths of the sides which have question marks?
problem

Rod Ratios

Age

7 to 11

Challenge level

Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2?
problem
Favourite

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
Favourite

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
Favourite

Mixing Lemonade

Age

11 to 14

Challenge level

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

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?