Sharing in a ratio

The Maths Habit

For every person on Earth,
how many ants are there?

About 2 500 000

Ratio
A ratio compares the size of one part with another.

Can you think of any real life
examples of ratio?

Squash and water

Mixing paint colours

Recipes

Map scales

Ratio Notation

AmyBen 3:5

Sharing in a ratio

  1. Draw the barsOne bar for each person, one box for each part.
  2. Find one partShare the total between all the parts.
  3. Find each shareFill every box, then add up each bar.
  4. CheckThe shares add up to the total.
1 part = totalnumber of parts
share + share = total ✓
one box for each part of the ratio
given the difference instead? share it between the extra parts
Walkthrough to print

Cal and Dev share 24 sweets in the ratio 1 : 5.

Share £42 in the ratio 2 : 5.

£12 and £30

Share £54 in the ratio 4 : 5.

£24 and £30

Share £42 in the ratio 2 : 5.

£12 and £30

Share £63 in the ratio 4 : 3.

£36 and £27

Share £42 in the ratio 2 : 5.

£12 and £30

Share £45 in the ratio 7 : 2.

£35 and £10

Share £42 in the ratio 2 : 5.

£12 and £30

Pia and Raj share 80 stickers in the ratio 3 : 7. How many does Raj get?

56 stickers

Share £42 in the ratio 2 : 5.

£12 and £30

A 60 cm ribbon is cut into two pieces in the ratio 5 : 1. How long is the shorter piece?

10 cm

Gus, Hana and Isla share £36 in the ratio 2 : 3 : 4.

Sharing in a ratio worksheet, page 1

Sharing in a ratio worksheet, page 2

Answer sheet

  1. Amy and Ben share some money in the ratio 3 : 5. Amy gets £12. How much do they share in total?

    £32
  2. Cal and Dev share some sweets in the ratio 3 : 8. Dev gets 25 more sweets than Cal. How many sweets are there in total?

    5 parts = 25, so 55
  3. Eve, Fin and Gus share some money in the ratio 1 : 2 : 4. Fin gets £18. How much do they share in total?

    £63

  1. Share £56 in the ratio 3 : 5.

    £21 and £35
  2. Share 72 sweets in the ratio 1 : 3 : 5.

    8, 24 and 40
  3. Ada and Bo share some money in the ratio 2 : 7. Bo gets £20 more than Ada. How much do they share altogether?

    £36
Exit tickets to print