Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 122 · 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 scooter goes 70 km in 2 hours. At the same speed, how many km does it go in 5 hours?
2. 2.A scooter goes 420 km in 6 hours. At the same speed, how many km does it go in 3 hours?
3. 3.A basket has 6 mangoes and 9 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 4 (b) 3 : 2 (c) 6 : 9 (d) 2 : 3
4. 4.₹780 is shared between Nisha and Joseph in the ratio 6 : 7. How many rupees does Joseph get?
5. 5.Are 12, 18, 6 and 9 in proportion? (a) No (b) Yes
6. 6.₹320 is shared between Diya and Manav in the ratio 7 : 9. How many rupees does Manav get?
7. 7.A car goes 210 km in 6 hours. At the same speed, how many km does it go in 2 hours?
8. 8.₹80 is shared between Isha and Dev in the ratio 3 : 5. How many rupees does Dev get?
9. 9.7 : 9 = ? : 90
10. 10.If 9 mangoes cost ₹297, how many rupees do 2 mangoes cost?
11. 11.1 : 2 = 2 : ?
12. 12.A train goes 175 km in 5 hours. At the same speed, how many km does it go in 2 hours?
13. 13.A bus goes 120 km in 4 hours. At the same speed, how many km does it go in 2 hours?
14. 14.A garden has 21 rose plants and 27 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 10 (b) 9 : 7 (c) 21 : 27 (d) 7 : 9
15. 15.If 8 mangoes cost ₹192, how many rupees do 5 mangoes cost?
16. 16.Are 4, 10, 16 and 40 in proportion? (a) No (b) Yes
17. 17.A library shelf has 2 storybooks and 6 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 3 (b) 2 : 4 (c) 3 : 1 (d) 2 : 6
18. 18.Are 9, 21, 24 and 59 in proportion? (a) Yes (b) No
19. 19.Write the ratio 8 : 56 in its simplest form. (a) 2 : 8 (b) 7 : 1 (c) 1 : 7 (d) 8 : 56
20. 20.Are 21, 27, 14 and 21 in proportion? (a) Yes (b) No
21. 21.1 : 3 = ? : 27
22. 22.Write the ratio 8 : 10 in its simplest form. (a) 5 : 6 (b) 4 : 5 (c) 8 : 10 (d) 5 : 4
23. 23.A library shelf has 18 storybooks and 10 science books. What is the ratio of storybooks to science books in its simplest form? (a) 10 : 6 (b) 5 : 9 (c) 9 : 5 (d) 18 : 10
24. 24.1 : 9 = 2 : ?
25. 25.A car goes 225 km in 5 hours. At the same speed, how many km does it go in 7 hours?
26. 26.1 : 4 = 3 : ?
27. 27.₹1650 is shared between Ishaan and Kabir in the ratio 2 : 9. How many rupees does Ishaan get?
28. 28.A box has 45 red pens and 54 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 6 (b) 45 : 54 (c) 6 : 7 (d) 6 : 5
29. 29.Write the ratio 32 : 12 in its simplest form. (a) 8 : 3 (b) 3 : 8 (c) 32 : 12 (d) 9 : 4
30. 30.Are 9, 12, 6 and 11 in proportion? (a) Yes (b) No
31. 31.6 : 7 = 48 : ?
32. 32.A scooter goes 150 km in 2 hours. At the same speed, how many km does it go in 1 hour?
33. 33.A team has 16 batters and 18 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 8 (b) 16 : 18 (c) 8 : 9 (d) 9 : 10
34. 34.If 4 pens cost ₹116, how many rupees do 5 pens cost?
35. 35.If 3 chocolates cost ₹30, how many rupees do 5 chocolates cost?
36. 36.If 3 pens cost ₹48, how many rupees do 5 pens cost?
37. 37.Are 6, 16, 24 and 64 in proportion? (a) Yes (b) No
38. 38.If 3 mangoes cost ₹57, how many rupees do 6 mangoes cost?
39. 39.A car goes 360 km in 6 hours. At the same speed, how many km does it go in 8 hours?
40. 40.A train goes 210 km in 3 hours. At the same speed, how many km does it go in 8 hours?

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