Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 265 · 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.If 8 pens cost ₹408, how many rupees do 4 pens cost?
2. 2.₹1530 is shared between Aarav and Riya in the ratio 8 : 9. How many rupees does Riya get?
3. 3.3 : 4 = 24 : ?
4. 4.A team has 15 batters and 21 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 8 (b) 5 : 7 (c) 15 : 21 (d) 7 : 5
5. 5.₹240 is shared between Nisha and Sneha in the ratio 5 : 7. How many rupees does Nisha get?
6. 6.A scooter goes 165 km in 3 hours. At the same speed, how many km does it go in 1 hour?
7. 7.A train goes 400 km in 5 hours. At the same speed, how many km does it go in 4 hours?
8. 8.7 : 8 = ? : 32
9. 9.If 4 pens cost ₹24, how many rupees do 8 pens cost?
10. 10.Are 10, 12, 25 and 32 in proportion? (a) No (b) Yes
11. 11.A scooter goes 240 km in 6 hours. At the same speed, how many km does it go in 8 hours?
12. 12.₹2200 is shared between Lakshmi and Riya in the ratio 2 : 9. How many rupees does Lakshmi get?
13. 13.If 2 mangoes cost ₹42, how many rupees do 9 mangoes cost?
14. 14.A car goes 225 km in 3 hours. At the same speed, how many km does it go in 5 hours?
15. 15.A car goes 130 km in 2 hours. At the same speed, how many km does it go in 6 hours?
16. 16.2 : 9 = 4 : ?
17. 17.If 5 notebooks cost ₹260, how many rupees do 11 notebooks cost?
18. 18.Are 3, 21, 8 and 56 in proportion? (a) No (b) Yes
19. 19.Write the ratio 8 : 20 in its simplest form. (a) 8 : 20 (b) 5 : 2 (c) 2 : 5 (d) 3 : 6
20. 20.A scooter goes 195 km in 3 hours. At the same speed, how many km does it go in 5 hours?
21. 21.Are 6, 24, 9 and 39 in proportion? (a) No (b) Yes
22. 22.Write the ratio 18 : 81 in its simplest form. (a) 18 : 81 (b) 3 : 10 (c) 9 : 2 (d) 2 : 9
23. 23.A library shelf has 32 storybooks and 72 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 4 (b) 5 : 10 (c) 4 : 9 (d) 32 : 72
24. 24.Write the ratio 8 : 6 in its simplest form. (a) 3 : 4 (b) 4 : 3 (c) 5 : 4 (d) 8 : 6
25. 25.Are 4, 12, 7 and 21 in proportion? (a) No (b) Yes
26. 26.Write the ratio 14 : 21 in its simplest form. (a) 3 : 4 (b) 2 : 3 (c) 3 : 2 (d) 14 : 21
27. 27.1 : 5 = 10 : ?
28. 28.2 : 9 = 16 : ?
29. 29.A basket has 15 mangoes and 27 apples. What is the ratio of mangoes to apples in its simplest form? (a) 15 : 27 (b) 5 : 9 (c) 9 : 5 (d) 6 : 10
30. 30.A car goes 400 km in 5 hours. At the same speed, how many km does it go in 7 hours?
31. 31.₹880 is shared between Isha and Kavya in the ratio 5 : 6. How many rupees does Kavya get?
32. 32.A basket has 48 mangoes and 18 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 3 (b) 3 : 8 (c) 9 : 4 (d) 48 : 18
33. 33.If 9 ice creams cost ₹531, how many rupees do 11 ice creams cost?
34. 34.Write the ratio 14 : 10 in its simplest form. (a) 14 : 10 (b) 8 : 6 (c) 7 : 5 (d) 5 : 7
35. 35.If 8 bus tickets cost ₹312, how many rupees do 3 bus tickets cost?
36. 36.₹980 is shared between Kabir and Dev in the ratio 5 : 9. How many rupees does Kabir get?
37. 37.If 3 pens cost ₹30, how many rupees do 4 pens cost?
38. 38.3 : 7 = ? : 21
39. 39.₹1540 is shared between Nisha and Ishaan in the ratio 4 : 7. How many rupees does Ishaan get?
40. 40.If 6 pens cost ₹24, how many rupees do 5 pens cost?

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