Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 273 · 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. 1.3 : 5 = 30 : ?
2. 2.₹510 is shared between Meera and Sneha in the ratio 8 : 9. How many rupees does Sneha get?
3. 3.Write the ratio 6 : 21 in its simplest form. (a) 3 : 8 (b) 6 : 21 (c) 7 : 2 (d) 2 : 7
4. 4.A bus goes 325 km in 5 hours. At the same speed, how many km does it go in 7 hours?
5. 5.A train goes 260 km in 4 hours. At the same speed, how many km does it go in 5 hours?
6. 6.Are 32, 36, 16 and 21 in proportion? (a) No (b) Yes
7. 7.A team has 40 batters and 48 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 6 (b) 6 : 5 (c) 40 : 48 (d) 6 : 7
8. 8.Write the ratio 30 : 5 in its simplest form. (a) 30 : 5 (b) 1 : 6 (c) 6 : 1 (d) 7 : 2
9. 9.4 : 7 = 8 : ?
10. 10.7 : 9 = 14 : ?
11. 11.₹1190 is shared between Priya and Dev in the ratio 2 : 5. How many rupees does Dev get?
12. 12.A garden has 18 rose plants and 12 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 2 (b) 2 : 3 (c) 4 : 3 (d) 18 : 12
13. 13.If 7 pens cost ₹56, how many rupees do 12 pens cost?
14. 14.Write the ratio 24 : 6 in its simplest form. (a) 4 : 1 (b) 5 : 2 (c) 24 : 6 (d) 1 : 4
15. 15.1 : 3 = ? : 21
16. 16.If 5 chocolates cost ₹285, how many rupees do 11 chocolates cost?
17. 17.8 : 9 = 72 : ?
18. 18.₹260 is shared between Rohan and Kabir in the ratio 4 : 9. How many rupees does Kabir get?
19. 19.If 3 chocolates cost ₹33, how many rupees do 10 chocolates cost?
20. 20.1 : 3 = ? : 24
21. 21.A basket has 25 mangoes and 40 apples. What is the ratio of mangoes to apples in its simplest form? (a) 25 : 40 (b) 8 : 5 (c) 6 : 9 (d) 5 : 8
22. 22.Are 30, 36, 15 and 18 in proportion? (a) No (b) Yes
23. 23.Are 12, 18, 4 and 6 in proportion? (a) No (b) Yes
24. 24.1 : 4 = 2 : ?
25. 25.Are 6, 10, 9 and 15 in proportion? (a) No (b) Yes
26. 26.Are 12, 28, 27 and 63 in proportion? (a) Yes (b) No
27. 27.₹980 is shared between Kabir and Joseph in the ratio 1 : 6. How many rupees does Joseph get?
28. 28.₹2240 is shared between Priya and Isha in the ratio 5 : 9. How many rupees does Isha get?
29. 29.₹130 is shared between Ananya and Rohan in the ratio 6 : 7. How many rupees does Ananya get?
30. 30.A team has 8 batters and 4 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 4 (b) 3 : 2 (c) 2 : 1 (d) 1 : 2
31. 31.A train goes 240 km in 3 hours. At the same speed, how many km does it go in 1 hour?
32. 32.A library shelf has 24 storybooks and 4 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 6 (b) 24 : 4 (c) 6 : 1 (d) 7 : 2
33. 33.1 : 6 = 7 : ?
34. 34.A basket has 18 mangoes and 4 apples. What is the ratio of mangoes to apples in its simplest form? (a) 10 : 3 (b) 18 : 4 (c) 2 : 9 (d) 9 : 2
35. 35.₹130 is shared between Aditya and Riya in the ratio 5 : 8. How many rupees does Riya get?
36. 36.1 : 7 = 10 : ?
37. 37.If 9 chocolates cost ₹117, how many rupees do 2 chocolates cost?
38. 38.Write the ratio 14 : 16 in its simplest form. (a) 14 : 16 (b) 7 : 8 (c) 8 : 9 (d) 8 : 7
39. 39.Are 16, 36, 8 and 19 in proportion? (a) Yes (b) No
40. 40.Are 21, 27, 42 and 54 in proportion? (a) Yes (b) No

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