Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 84 · 40 sums

The method (Find one first): Simplest form: divide both terms by their HCF — 12 : 18 = 2 : 3. Equal ratios: multiply (or divide) both terms by the same number — 3 : 4 = 15 : 20. a, b, c, d are in proportion when a × d = b × c. Unitary method: value of one = total ÷ number; then × the number you need. To share in a ratio 2 : 3, split into 2 + 3 = 5 equal parts.

1. 1.7 : 9 = 35 : ?
2. 2.Are 20, 36, 25 and 45 in proportion? (a) No (b) Yes
3. 3.If 9 chocolates cost ₹522, how many rupees do 6 chocolates cost?
4. 4.A bus goes 70 km in 2 hours. At the same speed, how many km does it go in 8 hours?
5. 5.Are 15, 18, 10 and 12 in proportion? (a) Yes (b) No
6. 6.Are 10, 18, 30 and 54 in proportion? (a) Yes (b) No
7. 7.Write the ratio 35 : 49 in its simplest form. (a) 6 : 8 (b) 35 : 49 (c) 7 : 5 (d) 5 : 7
8. 8.4 : 7 = 24 : ?
9. 9.Write the ratio 63 : 27 in its simplest form. (a) 7 : 3 (b) 63 : 27 (c) 8 : 4 (d) 3 : 7
10. 10.A class has 63 boys and 72 girls. What is the ratio of boys to girls in its simplest form? (a) 63 : 72 (b) 7 : 8 (c) 8 : 9 (d) 8 : 7
11. 11.2 : 5 = ? : 20
12. 12.1 : 3 = ? : 24
13. 13.₹300 is shared between Farhan and Sneha in the ratio 1 : 9. How many rupees does Farhan get?
14. 14.A basket has 18 mangoes and 9 apples. What is the ratio of mangoes to apples in its simplest form? (a) 18 : 9 (b) 1 : 2 (c) 2 : 1 (d) 3 : 2
15. 15.1 : 4 = ? : 12
16. 16.₹550 is shared between Kabir and Priya in the ratio 5 : 6. How many rupees does Kabir get?
17. 17.If 8 mangoes cost ₹440, how many rupees do 3 mangoes cost?
18. 18.Write the ratio 6 : 27 in its simplest form. (a) 2 : 9 (b) 9 : 2 (c) 3 : 10 (d) 6 : 27
19. 19.A train goes 195 km in 3 hours. At the same speed, how many km does it go in 6 hours?
20. 20.A scooter goes 60 km in 2 hours. At the same speed, how many km does it go in 1 hour?
21. 21.A team has 6 batters and 21 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 7 (b) 7 : 2 (c) 6 : 21 (d) 3 : 8
22. 22.A train goes 105 km in 3 hours. At the same speed, how many km does it go in 4 hours?
23. 23.1 : 8 = ? : 64
24. 24.₹1100 is shared between Isha and Aarav in the ratio 2 : 9. How many rupees does Aarav get?
25. 25.4 : 9 = ? : 18
26. 26.A scooter goes 420 km in 6 hours. At the same speed, how many km does it go in 2 hours?
27. 27.₹1400 is shared between Sneha and Kabir in the ratio 1 : 9. How many rupees does Kabir get?
28. 28.A train goes 400 km in 5 hours. At the same speed, how many km does it go in 1 hour?
29. 29.If 6 ice creams cost ₹186, how many rupees do 3 ice creams cost?
30. 30.If 3 bus tickets cost ₹111, how many rupees do 10 bus tickets cost?
31. 31.A team has 25 batters and 40 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 25 : 40 (b) 8 : 5 (c) 5 : 8 (d) 6 : 9
32. 32.Are 4, 8, 2 and 4 in proportion? (a) Yes (b) No
33. 33.2 : 3 = ? : 24
34. 34.A bus goes 140 km in 4 hours. At the same speed, how many km does it go in 2 hours?
35. 35.A basket has 27 mangoes and 63 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 7 (b) 27 : 63 (c) 4 : 8 (d) 7 : 3
36. 36.If 3 ice creams cost ₹138, how many rupees do 11 ice creams cost?
37. 37.A basket has 15 mangoes and 3 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 1 (b) 1 : 5 (c) 6 : 2 (d) 15 : 3
38. 38.A basket has 21 mangoes and 56 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 3 (b) 3 : 8 (c) 21 : 56 (d) 4 : 9
39. 39.3 : 4 = ? : 24
40. 40.Are 6, 24, 2 and 9 in proportion? (a) Yes (b) No

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