Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 17 · 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.₹650 is shared between Farhan and Meera in the ratio 6 : 7. How many rupees does Meera get?
2. 2.If 5 notebooks cost ₹195, how many rupees do 12 notebooks cost?
3. 3.A garden has 7 rose plants and 42 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 6 (b) 2 : 7 (c) 7 : 42 (d) 6 : 1
4. 4.Are 25, 35, 15 and 21 in proportion? (a) Yes (b) No
5. 5.1 : 9 = 5 : ?
6. 6.A bus goes 195 km in 3 hours. At the same speed, how many km does it go in 4 hours?
7. 7.4 : 7 = 32 : ?
8. 8.A scooter goes 240 km in 4 hours. At the same speed, how many km does it go in 3 hours?
9. 9.Write the ratio 48 : 6 in its simplest form. (a) 1 : 8 (b) 48 : 6 (c) 9 : 2 (d) 8 : 1
10. 10.If 4 chocolates cost ₹136, how many rupees do 10 chocolates cost?
11. 11.A team has 24 batters and 15 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 24 : 15 (b) 8 : 5 (c) 5 : 8 (d) 9 : 6
12. 12.Write the ratio 15 : 18 in its simplest form. (a) 6 : 7 (b) 5 : 6 (c) 15 : 18 (d) 6 : 5
13. 13.A train goes 360 km in 6 hours. At the same speed, how many km does it go in 1 hour?
14. 14.₹980 is shared between Saanvi and Dev in the ratio 3 : 4. How many rupees does Saanvi get?
15. 15.Write the ratio 42 : 18 in its simplest form. (a) 42 : 18 (b) 7 : 3 (c) 8 : 4 (d) 3 : 7
16. 16.A class has 40 boys and 5 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 2 (b) 40 : 5 (c) 8 : 1 (d) 1 : 8
17. 17.₹1690 is shared between Kabir and Karan in the ratio 5 : 8. How many rupees does Karan get?
18. 18.1 : 8 = 10 : ?
19. 19.2 : 3 = 12 : ?
20. 20.Write the ratio 42 : 24 in its simplest form. (a) 8 : 5 (b) 4 : 7 (c) 7 : 4 (d) 42 : 24
21. 21.Are 30, 54, 15 and 27 in proportion? (a) No (b) Yes
22. 22.₹1530 is shared between Aarav and Rohan in the ratio 8 : 9. How many rupees does Rohan get?
23. 23.Write the ratio 30 : 24 in its simplest form. (a) 5 : 4 (b) 4 : 5 (c) 6 : 5 (d) 30 : 24
24. 24.A bus goes 240 km in 4 hours. At the same speed, how many km does it go in 3 hours?
25. 25.Are 5, 10, 3 and 9 in proportion? (a) No (b) Yes
26. 26.A class has 45 boys and 35 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 7 (b) 45 : 35 (c) 7 : 9 (d) 10 : 8
27. 27.2 : 7 = 10 : ?
28. 28.Write the ratio 18 : 10 in its simplest form. (a) 5 : 9 (b) 9 : 5 (c) 18 : 10 (d) 10 : 6
29. 29.A scooter goes 140 km in 2 hours. At the same speed, how many km does it go in 5 hours?
30. 30.Are 6, 18, 2 and 8 in proportion? (a) Yes (b) No
31. 31.Are 10, 18, 40 and 73 in proportion? (a) No (b) Yes
32. 32.Write the ratio 9 : 12 in its simplest form. (a) 9 : 12 (b) 4 : 5 (c) 4 : 3 (d) 3 : 4
33. 33.Are 4, 24, 5 and 33 in proportion? (a) Yes (b) No
34. 34.₹1650 is shared between Sneha and Tara in the ratio 7 : 8. How many rupees does Tara get?
35. 35.1 : 3 = ? : 12
36. 36.Write the ratio 10 : 14 in its simplest form. (a) 7 : 5 (b) 10 : 14 (c) 6 : 8 (d) 5 : 7
37. 37.₹1000 is shared between Aarav and Kavya in the ratio 2 : 3. How many rupees does Kavya get?
38. 38.2 : 5 = 18 : ?
39. 39.Write the ratio 36 : 8 in its simplest form. (a) 10 : 3 (b) 2 : 9 (c) 9 : 2 (d) 36 : 8
40. 40.Write the ratio 6 : 36 in its simplest form. (a) 1 : 6 (b) 6 : 36 (c) 6 : 1 (d) 2 : 7

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