Ratios Questions

1/2 day : 48 hours

12 : 48, 1 : 4

2 hours : 45 minutes

120 : 45, 24:9

1/2 : 6

1 : 12

1/7 : 2

1 : 14

1/4 : 4

1 : 16

13 : 26

1 : 2

1/3 : 7

1 : 21

3 : 9

1 : 3

10 students complete a task in 6 days. How long would it have taken if only 4 students worked in the same task?

10 students = 6 days 4 students = ? (less) 4 X 6 = 24 24 / 10 = 2.4 days

14 sheep eat grass in 9 days. How long will it take for 18 sheep to eat all the grass in the field?

14 sheep = 9 days 18 sheep = ? (less) 14/18 = 7/9 X 9 = 7 days

Divide a length of 147cm into 3 parts in the ratio 2:8:11

14, 56, 77

In a box of 50 pens, 15 are black, 25 are blue and the rest are red. Find out how many red pen are there.

15 + 25 = 40 50 - 40 = 10 red pens

Simplify 2: 4

1: 2

Dave and Lisa win £500 between them. They agree to divide the money in the ratio 2:3. How much does each person receive?

2 + 3 = 5 Dave : 2/5 X 500 = 200 Lisa : 3/5 X 500 = 300

The scale on a map is 1: 2,000,000. The distance on the map between Sam's house and his school is 5cm. How far in cm is the actual distance between the two houses?

2,000,000 X 5 = 10000000

2 centuries : 50 years

200 : 50, 4 : 1

25 minutes : 1/2 hour

25 : 30, 5 : 6

In a car park there are 264 car and 120 minivans. Give the ration of cars to minivans in its simplest form.

264 : 120 15: 33 5 : 11

12: 16

3 : 4

36: 45

4 : 5

25 :15

5 : 3

15 : 18

5 : 6

60 cents : $1

60 : 100, 6 : 10 , 3 : 5

Eve divided 24 sweets between her grandchildren in the ratio of their ages. If Kate is 7, Tom is 5, how many does Kate receive?

7 + 5 = 12 Kate : 7/12 X 24 = 14 sweets

7 days : 2 weeks

7 : 14, 1 : 2

56 : 64

7 : 8

The sum of two numbers is 168. Find the two number if they are in the ration of 5:7

70 and 98

8cm : 12 cm

8 : 12 = 2 : 3

80 cm : 2 metres

80 : 200, 2 : 5

Amelia and Shabana win a sum of money, which they agree to share in the ratio 5:3. If Amelia receives £150, how much will Shabana receive?

Amelia : Shabana 5 : 3 150 : ? 5 X ___ = 150 5 X 30 = 150 3 X 30 = 90

A necklace is made using gold and silver beads in the ratio 3:2. If there are 80 beads in the necklace: a) How many are gold? b) How many are silver?

Gold : Silver 3 : 2 3 + 2 3/5 X 80 = 48 gold 2/5 X 80 = 32 silver

A model boat is made to a scale of 1:20 (1 to 20). a) If the 1:20 model boat is 15cm wide, how wide is the actual boat? b) If the boat has a mast of height 4m, how high is the mast on the model?

a) 1: 20 , 15 = ? 20 X 15 = 300cm b) 4m = 400 cm 400 / 20 = 20 cm