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Ratio and Proportion Practice Problems with Solutions - IGCSE Year 8

IGCSE Year 8 | Math | Ratio and Proportion
Name: _________________________ Date: _________________________ Score: _______ / 40

The ratio 12 : 18 simplifies to 2 : 3 and dividing 40 in the ratio 3 : 5 gives 15 : 25, so this Year 8 sheet opens with simplifying and splitting a ratio. The answers record 21 dollars and 500 m as proportional results.

Key Takeaways

Section A: Multiple Choice Questions (1 Mark Each)

Choose the correct option for each question.
1. Simplify the ratio 12 : 18.
(a) 6 : 9(b) 3 : 2(c) 2 : 3(d) 4 : 6
2. Divide 40 in the ratio 3 : 5.
(a) 10 : 30(b) 20 : 20(c) 24 : 16(d) 15 : 25
3. Four calculators cost 12 dollars. How much do 7 calculators cost?
(a) 21 dollars(b) 18 dollars(c) 24 dollars(d) 28 dollars
4. Three pens cost 60 cents. How much does one pen cost?
(a) 30 cents(b) 20 cents(c) 15 cents(d) 25 cents
5. A map has a scale of 1 : 50,000. What distance does 1 cm on the map represent?
(a) 500 m(b) 50 m(c) 5 km(d) 5,000 m
6. A car travels 60 km in 1 hour at a steady speed. How far does it travel in 2.5 hours?
(a) 120 km(b) 150 km(c) 100 km(d) 180 km

Section B: Short Answer Type Questions (2 Marks Each)

Show all steps clearly.
7. Simplify the ratio 20 : 35.
8. Write the ratio of 1 hour to 40 minutes in its simplest form.
9. Share 60 in the ratio 1 : 3.
10. Five books cost 45 dollars. Find the cost of 8 books.
11. A recipe for 4 people uses 200 g of flour. How much flour is needed for 10 people?
12. Write the ratio 300 m to 1 km in its simplest form.
13. A train travels 90 km in 1.5 hours. Find its average speed in km per hour.
14. Simplify the ratio 0.5 : 2.

Section C: Numericals & Word Problems (3 Marks Each)

Apply the concepts to solve the problems. Show all working.
15. The ratio of boys to girls in a class is 3 : 2. There are 30 students altogether. How many girls are in the class?
16. A map has a scale of 1 : 25,000. Two towns are 8 cm apart on the map. Find the real distance between them in kilometres.
17. Six workers can build a wall in 4 days. How long would 8 workers take to build the same wall, assuming they all work at the same rate?
18. A fruit drink is made by mixing concentrate and water in the ratio 1 : 4. How much water is needed for 0.5 litres of concentrate?
19. A car uses 12 litres of petrol to travel 150 km. How far can it travel on 20 litres of petrol at the same rate?
20. A recipe mixes sugar and flour in the ratio 2 : 5. If 350 g of flour is used, how much sugar is needed?

Answer Key

1. c) 2 : 3
2. d) 15 : 25
3. a) 21 dollars
4. b) 20 cents
5. a) 500 m
6. b) 150 km
7. Refer to solution guide.
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20. Refer to solution guide.
End of Worksheet

People Also Ask

What is 12 : 18 simplified?

2 : 3, option (c) in this worksheet (Q1).

How is 40 divided in the ratio 3 : 5?

15 : 25, option (d) in this worksheet (Q2).

What dollar amount appears among the ratio answers?

21 dollars, option (a) in this worksheet (Q3).

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