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IGCSE Mathematics Worksheet- Ratio & Proportion

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Answer the following

1. Express 45 : 10 in simplest form

2. Express in simplest form: a wetsuit costing $175 to a wetsuit costing $250

3. Two lengths are in the ratio 4 : 5. If the first length is 60 cm, what is the second length?

4. £50 is to be divided between two sisters in the ratio 3 : 2. How much does each get?

5. Three children aged 2 years, 3 years and 7 years old are given a sum of £60 to be divided in the ratio of their ages.
(a) How much does each child receive?
(b) How much would each child receive if the same amount of money had been divided a
year later?

6. The ratio of walkers to guides on the Milford Track walk was 9 : 2. How many guides were needed if there were 27 walkers?

7. The ratio of Pam’s height to Sam’s height is 7 : 6. If Pam is 1:63 m tall, how tall is Sam?

8. Divide an inheritance of $36 000 in the ratio 3 : 5 : 10

9. On a particular day, 1 Australian dollar is worth 0.94 US dollars. How many Australian dollars can be exchanged for $20?

10. The graph alongside indicates the distance a homing pigeon travelled from its point of release until it reached its home. Use the graph to determine:
a the total length of the flight
b the time taken for the pigeon to reach home
c the time taken to fly the first 200 km
d the time taken to fly from the 240 km mark to the 400 km mark 
e the average speed for the first 4 hours

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