Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 290 · 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 90 km in 3 hours. At the same speed, how many km does it go in 7 hours?
2. 2.₹130 is shared between Nisha and Pooja in the ratio 4 : 9. How many rupees does Nisha get?
3. 3.Write the ratio 24 : 56 in its simplest form. (a) 4 : 8 (b) 3 : 7 (c) 7 : 3 (d) 24 : 56
4. 4.A car goes 180 km in 3 hours. At the same speed, how many km does it go in 2 hours?
5. 5.Write the ratio 48 : 56 in its simplest form. (a) 48 : 56 (b) 7 : 6 (c) 6 : 7 (d) 7 : 8
6. 6.₹300 is shared between Saanvi and Vivaan in the ratio 3 : 7. How many rupees does Vivaan get?
7. 7.A box has 40 red pens and 8 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 1 : 5 (b) 5 : 1 (c) 40 : 8 (d) 6 : 2
8. 8.₹960 is shared between Aditya and Lakshmi in the ratio 1 : 5. How many rupees does Aditya get?
9. 9.1 : 4 = 7 : ?
10. 10.If 5 pens cost ₹260, how many rupees do 8 pens cost?
11. 11.₹550 is shared between Ananya and Diya in the ratio 2 : 3. How many rupees does Diya get?
12. 12.1 : 7 = ? : 28
13. 13.A bus goes 420 km in 6 hours. At the same speed, how many km does it go in 5 hours?
14. 14.If 4 pens cost ₹88, how many rupees do 10 pens cost?
15. 15.A team has 35 batters and 56 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 9 (b) 8 : 5 (c) 5 : 8 (d) 35 : 56
16. 16.A scooter goes 240 km in 6 hours. At the same speed, how many km does it go in 3 hours?
17. 17.Write the ratio 35 : 63 in its simplest form. (a) 35 : 63 (b) 6 : 10 (c) 5 : 9 (d) 9 : 5
18. 18.Write the ratio 27 : 3 in its simplest form. (a) 27 : 3 (b) 9 : 1 (c) 10 : 2 (d) 1 : 9
19. 19.If 5 ice creams cost ₹210, how many rupees do 6 ice creams cost?
20. 20.If 3 notebooks cost ₹108, how many rupees do 4 notebooks cost?
21. 21.A class has 12 boys and 10 girls. What is the ratio of boys to girls in its simplest form? (a) 12 : 10 (b) 5 : 6 (c) 6 : 5 (d) 7 : 6
22. 22.A scooter goes 325 km in 5 hours. At the same speed, how many km does it go in 6 hours?
23. 23.1 : 5 = ? : 35
24. 24.A bus goes 180 km in 4 hours. At the same speed, how many km does it go in 1 hour?
25. 25.Write the ratio 5 : 20 in its simplest form. (a) 2 : 5 (b) 5 : 20 (c) 4 : 1 (d) 1 : 4
26. 26.If 6 mangoes cost ₹192, how many rupees do 2 mangoes cost?
27. 27.₹1040 is shared between Pooja and Gurpreet in the ratio 4 : 9. How many rupees does Gurpreet get?
28. 28.If 4 bus tickets cost ₹196, how many rupees do 10 bus tickets cost?
29. 29.A garden has 18 rose plants and 21 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 6 (b) 7 : 8 (c) 18 : 21 (d) 6 : 7
30. 30.A team has 12 batters and 2 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 12 : 2 (b) 6 : 1 (c) 7 : 2 (d) 1 : 6
31. 31.3 : 7 = ? : 35
32. 32.Are 4, 10, 14 and 35 in proportion? (a) Yes (b) No
33. 33.₹1080 is shared between Lakshmi and Manav in the ratio 1 : 5. How many rupees does Lakshmi get?
34. 34.Write the ratio 28 : 49 in its simplest form. (a) 7 : 4 (b) 28 : 49 (c) 5 : 8 (d) 4 : 7
35. 35.Are 6, 27, 4 and 18 in proportion? (a) No (b) Yes
36. 36.A garden has 4 rose plants and 6 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 4 (b) 2 : 3 (c) 3 : 2 (d) 4 : 6
37. 37.3 : 7 = ? : 14
38. 38.2 : 7 = 10 : ?
39. 39.Are 12, 42, 10 and 35 in proportion? (a) Yes (b) No
40. 40.Are 6, 8, 9 and 12 in proportion? (a) No (b) Yes

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