Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 196 · 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. 1.4 : 7 = 40 : ?
2. 2.Are 4, 24, 6 and 36 in proportion? (a) Yes (b) No
3. 3.8 : 9 = 48 : ?
4. 4.A train goes 160 km in 2 hours. At the same speed, how many km does it go in 1 hour?
5. 5.A basket has 16 mangoes and 56 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 7 (b) 16 : 56 (c) 3 : 8 (d) 7 : 2
6. 6.Are 6, 24, 8 and 32 in proportion? (a) Yes (b) No
7. 7.₹1440 is shared between Ananya and Aditya in the ratio 7 : 9. How many rupees does Aditya get?
8. 8.8 : 9 = 56 : ?
9. 9.Are 2, 10, 4 and 21 in proportion? (a) Yes (b) No
10. 10.Are 14, 18, 56 and 74 in proportion? (a) Yes (b) No
11. 11.Write the ratio 16 : 4 in its simplest form. (a) 5 : 2 (b) 16 : 4 (c) 1 : 4 (d) 4 : 1
12. 12.₹330 is shared between Dev and Riya in the ratio 3 : 8. How many rupees does Dev get?
13. 13.Write the ratio 14 : 7 in its simplest form. (a) 3 : 2 (b) 1 : 2 (c) 14 : 7 (d) 2 : 1
14. 14.Are 6, 54, 8 and 72 in proportion? (a) No (b) Yes
15. 15.Are 4, 6, 6 and 11 in proportion? (a) No (b) Yes
16. 16.A car goes 350 km in 5 hours. At the same speed, how many km does it go in 2 hours?
17. 17.Are 8, 28, 14 and 49 in proportion? (a) No (b) Yes
18. 18.Are 6, 21, 14 and 50 in proportion? (a) Yes (b) No
19. 19.1 : 2 = 4 : ?
20. 20.A garden has 18 rose plants and 10 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 18 : 10 (b) 10 : 6 (c) 5 : 9 (d) 9 : 5
21. 21.A train goes 210 km in 3 hours. At the same speed, how many km does it go in 5 hours?
22. 22.A class has 40 boys and 32 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 4 (b) 40 : 32 (c) 4 : 5 (d) 6 : 5
23. 23.Write the ratio 12 : 18 in its simplest form. (a) 3 : 2 (b) 2 : 3 (c) 12 : 18 (d) 3 : 4
24. 24.A library shelf has 25 storybooks and 15 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 5 (b) 25 : 15 (c) 5 : 3 (d) 6 : 4
25. 25.₹1820 is shared between Priya and Manav in the ratio 5 : 9. How many rupees does Manav get?
26. 26.Are 2, 4, 9 and 18 in proportion? (a) Yes (b) No
27. 27.Are 24, 42, 32 and 57 in proportion? (a) Yes (b) No
28. 28.A car goes 105 km in 3 hours. At the same speed, how many km does it go in 5 hours?
29. 29.Write the ratio 40 : 64 in its simplest form. (a) 6 : 9 (b) 8 : 5 (c) 5 : 8 (d) 40 : 64
30. 30.Write the ratio 14 : 4 in its simplest form. (a) 2 : 7 (b) 14 : 4 (c) 7 : 2 (d) 8 : 3
31. 31.A team has 21 batters and 35 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 6 (b) 21 : 35 (c) 5 : 3 (d) 3 : 5
32. 32.If 9 mangoes cost ₹126, how many rupees do 3 mangoes cost?
33. 33.1 : 4 = ? : 24
34. 34.A class has 28 boys and 4 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 2 (b) 7 : 1 (c) 1 : 7 (d) 28 : 4
35. 35.A car goes 350 km in 5 hours. At the same speed, how many km does it go in 6 hours?
36. 36.If 3 mangoes cost ₹48, how many rupees do 2 mangoes cost?
37. 37.Write the ratio 36 : 4 in its simplest form. (a) 36 : 4 (b) 10 : 2 (c) 9 : 1 (d) 1 : 9
38. 38.A scooter goes 90 km in 2 hours. At the same speed, how many km does it go in 6 hours?
39. 39.If 9 bus tickets cost ₹333, how many rupees do 5 bus tickets cost?
40. 40.A scooter goes 120 km in 4 hours. At the same speed, how many km does it go in 8 hours?

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