Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 299 · 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.₹260 is shared between Meera and Nisha in the ratio 6 : 7. How many rupees does Nisha get?
2. 2.A train goes 180 km in 3 hours. At the same speed, how many km does it go in 6 hours?
3. 3.Are 4, 32, 3 and 25 in proportion? (a) No (b) Yes
4. 4.A class has 27 boys and 18 girls. What is the ratio of boys to girls in its simplest form? (a) 27 : 18 (b) 4 : 3 (c) 2 : 3 (d) 3 : 2
5. 5.₹990 is shared between Tara and Karan in the ratio 2 : 7. How many rupees does Tara get?
6. 6.1 : 9 = ? : 18
7. 7.A team has 35 batters and 21 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 5 (b) 6 : 4 (c) 35 : 21 (d) 5 : 3
8. 8.A basket has 72 mangoes and 16 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 2 (b) 2 : 9 (c) 10 : 3 (d) 72 : 16
9. 9.1 : 3 = ? : 30
10. 10.3 : 8 = 18 : ?
11. 11.If 3 pens cost ₹39, how many rupees do 4 pens cost?
12. 12.Are 2, 14, 5 and 35 in proportion? (a) No (b) Yes
13. 13.₹1820 is shared between Farhan and Zoya in the ratio 5 : 9. How many rupees does Farhan get?
14. 14.Are 15, 20, 6 and 9 in proportion? (a) Yes (b) No
15. 15.Write the ratio 9 : 15 in its simplest form. (a) 4 : 6 (b) 3 : 5 (c) 5 : 3 (d) 9 : 15
16. 16.A scooter goes 400 km in 5 hours. At the same speed, how many km does it go in 2 hours?
17. 17.₹1330 is shared between Arjun and Vivaan in the ratio 3 : 4. How many rupees does Arjun get?
18. 18.Are 24, 30, 8 and 11 in proportion? (a) No (b) Yes
19. 19.If 9 bus tickets cost ₹342, how many rupees do 7 bus tickets cost?
20. 20.If 5 notebooks cost ₹270, how many rupees do 4 notebooks cost?
21. 21.If 9 bus tickets cost ₹288, how many rupees do 7 bus tickets cost?
22. 22.A train goes 210 km in 3 hours. At the same speed, how many km does it go in 6 hours?
23. 23.A car goes 210 km in 6 hours. At the same speed, how many km does it go in 2 hours?
24. 24.A team has 28 batters and 20 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 7 (b) 28 : 20 (c) 7 : 5 (d) 8 : 6
25. 25.3 : 7 = ? : 63
26. 26.A scooter goes 150 km in 2 hours. At the same speed, how many km does it go in 6 hours?
27. 27.3 : 7 = 21 : ?
28. 28.A garden has 14 rose plants and 49 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 8 (b) 7 : 2 (c) 2 : 7 (d) 14 : 49
29. 29.Are 4, 18, 18 and 83 in proportion? (a) No (b) Yes
30. 30.1 : 5 = ? : 20
31. 31.If 3 bus tickets cost ₹117, how many rupees do 11 bus tickets cost?
32. 32.Write the ratio 15 : 25 in its simplest form. (a) 3 : 5 (b) 5 : 3 (c) 4 : 6 (d) 15 : 25
33. 33.₹2380 is shared between Manav and Kabir in the ratio 5 : 9. How many rupees does Kabir get?
34. 34.If 9 mangoes cost ₹279, how many rupees do 10 mangoes cost?
35. 35.A car goes 210 km in 6 hours. At the same speed, how many km does it go in 1 hour?
36. 36.If 2 mangoes cost ₹60, how many rupees do 8 mangoes cost?
37. 37.3 : 4 = ? : 28
38. 38.A library shelf has 8 storybooks and 48 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 1 (b) 8 : 48 (c) 1 : 6 (d) 2 : 7
39. 39.1 : 5 = ? : 30
40. 40.A scooter goes 180 km in 6 hours. At the same speed, how many km does it go in 8 hours?

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