GCSE Ratio Practice

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Mathematical ratio symbols and calculations

📊 Part 1: Grades 1 & 2 - Basic Ratios

1. Write the ratio of squares to circles if there are 3 squares and 5 circles.

Answer: _______ : _______

2. Simplify the ratio 6:9

2:3

3:2

6:9

1:2

3. A recipe uses 2 cups of flour to 3 cups of sugar. What is the ratio of flour to sugar?

Answer: _______ : _______

4. Simplify 10:15

Answer: _______ : _______

5. In a class of 12 boys and 8 girls, what is the ratio of boys to girls?

12:8

3:2

2:3

8:12

6. Share £20 in the ratio 1:4. How much does each person get?

Person 1: £_______

Person 2: £_______

7. Which of these ratios are equivalent to 2:3? (Tick all that apply)

4:6

6:9

3:2

8:12

8. Express 25p to £1 as a ratio in its simplest form.

Answer: _______ : _______

9. A bag contains red and blue sweets in the ratio 3:7. If there are 9 red sweets, how many blue sweets are there?

Answer: _______ blue sweets

10. Simplify 18:24:30

Answer: _______ : _______ : _______

🎯 Part 2: Grades 3 & 4 - Advanced Ratios

11. The angles in a triangle are in the ratio 2:3:4. Find the size of each angle.

Angles: _______°, _______°, _______°

12. Two numbers are in the ratio 5:8. If their sum is 91, find the numbers.

Numbers: _______ and _______

13. A map has a scale of 1:50,000. If the distance on the map is 4cm, what is the actual distance in kilometres?

2 km

20 km

200 km

0.2 km

14. John and Sarah share money in the ratio 3:5. If Sarah gets £15 more than John, how much money was shared in total?

Total amount: £_______

15. A recipe for 6 people uses 400g flour. How much flour is needed for 9 people?

Answer: _______g

16. The ratio of cats to dogs to rabbits in a pet shop is 4:6:5. If there are 24 cats, how many pets are there altogether?

Total pets: _______

17. Express 2.5:3.5:1 as a ratio of whole numbers.

Answer: _______ : _______ : _______

18. A car travels 120 miles on 15 litres of petrol. How many litres are needed for 200 miles?

Answer: _______ litres

19. Three business partners invest money in the ratio 2:5:8. If the total investment is £45,000, how much does each partner invest?

Partner 1: £_______, Partner 2: £_______, Partner 3: £_______

20. The ratio of boys to girls in Year 10 is 7:8. If there are 56 boys, what percentage of Year 10 are girls?

Percentage of girls: _______%

GCSE Ratio Practice

GCSE Ratio Practice

📊 Part 1: Grades 1 & 2 - Basic Ratios

🎯 Part 2: Grades 3 & 4 - Advanced Ratios

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