Simplifying Ratio
Ratio
calculations
Direct
Proportion
Dividing in a Ratio
100

Simplify the Ratio 10 : 8

5 : 4

100

The ratio of baby girls : baby boys in a hospital is 4 : 5.

There are 16 baby boys. How many baby girls are there?

20

100

If 6 sweets cost £13.50 how much will 3 sweets cost?

£6.75

100

Share the amount £120 in the ratio 1:4.

£24:£96.

200

Simplify the ratio 30 : 6

5 : 1

200
The ratio of cola : diet cola was 3 : 4.

If there were 15 cans of cola, how many diet cola were there?

20

200

If 12 tickets cost £30.00 how much will 13 tickets cost?

£32.50

200

30 glue sticks were divided in 33 groups in the ratio 3:2:1. Calculate how many glue sticks each group received.

15:10:5.

300

Simplify the ratio 60 : 6

10 : 1

300

The ratio of 'Hard' questions to 'Easy' questions in a test is 1:4. 

If a test consists of 13 hard questions, how many easy questions are there?

52

300

If 12 treats cost £11.40 how much will 10 treats cost?

£9.50

300

Max and Nia share some money in the ratio 3:5. Nia receives £45. How much money was shared?

£72.

400

Simplify the ratio 24 : 20

6 : 5

400

Ann : Joan = 2:5 (for every £2 Ann earns, Joan earns £5)

If Ann earned £20, how much must Joan have earned?

£50

400

If 5 stamps cost £1.25 how much will 3 stamps cost?

75p 

400

There are 10boys and 9 girls. Each person is to receive the same amount from £380. How much do all the boys, and all the girls receive? Express your answer as a ratio.

£200:£180

500

Simplify the ratio 30 : 84

5 : 14

500

At a school club, the ratio of pupils to teachers is 20 : 1

If 360 pupils turn up at the club, how many people in TOTAL should there be at the club?

378

500

If 7 pens cost £6.93 how much will 4 pens cost?

£3.96

500

A recipe for shortbread consists of plain flour, butter and caster sugar in the ratio 3:2:1. How much plain flour would I need for 900g of shortbread?

450g