Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 175 · 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.A garden has 36 rose plants and 42 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 6 (b) 36 : 42 (c) 7 : 8 (d) 6 : 7
2. 2.₹140 is shared between Aditya and Ishaan in the ratio 2 : 5. How many rupees does Aditya get?
3. 3.3 : 5 = ? : 15
4. 4.1 : 9 = ? : 81
5. 5.If 2 ice creams cost ₹104, how many rupees do 5 ice creams cost?
6. 6.Write the ratio 9 : 6 in its simplest form. (a) 2 : 3 (b) 4 : 3 (c) 9 : 6 (d) 3 : 2
7. 7.₹1200 is shared between Karan and Vivaan in the ratio 1 : 9. How many rupees does Vivaan get?
8. 8.A garden has 14 rose plants and 12 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 7 (b) 7 : 6 (c) 14 : 12 (d) 6 : 7
9. 9.Write the ratio 14 : 49 in its simplest form. (a) 14 : 49 (b) 2 : 7 (c) 7 : 2 (d) 3 : 8
10. 10.₹760 is shared between Aarav and Kabir in the ratio 1 : 3. How many rupees does Kabir get?
11. 11.₹560 is shared between Meera and Riya in the ratio 5 : 9. How many rupees does Riya get?
12. 12.If 7 ice creams cost ₹63, how many rupees do 4 ice creams cost?
13. 13.4 : 9 = ? : 27
14. 14.If 4 mangoes cost ₹20, how many rupees do 8 mangoes cost?
15. 15.4 : 5 = 32 : ?
16. 16.4 : 5 = 20 : ?
17. 17.A scooter goes 140 km in 2 hours. At the same speed, how many km does it go in 3 hours?
18. 18.1 : 4 = 10 : ?
19. 19.A bus goes 80 km in 2 hours. At the same speed, how many km does it go in 1 hour?
20. 20.Write the ratio 16 : 4 in its simplest form. (a) 5 : 2 (b) 4 : 1 (c) 1 : 4 (d) 16 : 4
21. 21.A class has 6 boys and 2 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 2 (b) 3 : 1 (c) 4 : 2 (d) 1 : 3
22. 22.Write the ratio 20 : 36 in its simplest form. (a) 9 : 5 (b) 6 : 10 (c) 20 : 36 (d) 5 : 9
23. 23.Write the ratio 40 : 72 in its simplest form. (a) 40 : 72 (b) 5 : 9 (c) 9 : 5 (d) 6 : 10
24. 24.A team has 6 batters and 2 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 1 (b) 4 : 2 (c) 6 : 2 (d) 1 : 3
25. 25.₹240 is shared between Kabir and Manav in the ratio 1 : 3. How many rupees does Manav get?
26. 26.5 : 9 = ? : 72
27. 27.₹130 is shared between Arjun and Sneha in the ratio 6 : 7. How many rupees does Sneha get?
28. 28.Write the ratio 16 : 56 in its simplest form. (a) 7 : 2 (b) 16 : 56 (c) 3 : 8 (d) 2 : 7
29. 29.A bus goes 480 km in 6 hours. At the same speed, how many km does it go in 8 hours?
30. 30.Write the ratio 2 : 4 in its simplest form. (a) 2 : 4 (b) 2 : 3 (c) 1 : 2 (d) 2 : 1
31. 31.A basket has 14 mangoes and 16 apples. What is the ratio of mangoes to apples in its simplest form? (a) 14 : 16 (b) 8 : 9 (c) 7 : 8 (d) 8 : 7
32. 32.A scooter goes 480 km in 6 hours. At the same speed, how many km does it go in 2 hours?
33. 33.1 : 5 = ? : 15
34. 34.Are 12, 30, 6 and 18 in proportion? (a) Yes (b) No
35. 35.3 : 8 = 6 : ?
36. 36.Are 6, 27, 14 and 66 in proportion? (a) Yes (b) No
37. 37.Are 16, 36, 36 and 81 in proportion? (a) Yes (b) No
38. 38.If 8 mangoes cost ₹360, how many rupees do 5 mangoes cost?
39. 39.Are 42, 48, 28 and 33 in proportion? (a) No (b) Yes
40. 40.4 : 5 = ? : 10

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