Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 92 · 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. 1.4 : 7 = ? : 28
2. 2.If 3 mangoes cost ₹177, how many rupees do 6 mangoes cost?
3. 3.Write the ratio 2 : 4 in its simplest form. (a) 2 : 3 (b) 2 : 4 (c) 2 : 1 (d) 1 : 2
4. 4.Write the ratio 35 : 28 in its simplest form. (a) 5 : 4 (b) 4 : 5 (c) 35 : 28 (d) 6 : 5
5. 5.A car goes 480 km in 6 hours. At the same speed, how many km does it go in 2 hours?
6. 6.₹570 is shared between Vivaan and Manav in the ratio 1 : 2. How many rupees does Manav get?
7. 7.₹1530 is shared between Manav and Karan in the ratio 1 : 8. How many rupees does Manav get?
8. 8.7 : 8 = 28 : ?
9. 9.Are 3, 9, 4 and 15 in proportion? (a) Yes (b) No
10. 10.A car goes 400 km in 5 hours. At the same speed, how many km does it go in 3 hours?
11. 11.A team has 48 batters and 8 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 6 (b) 7 : 2 (c) 48 : 8 (d) 6 : 1
12. 12.If 7 mangoes cost ₹224, how many rupees do 11 mangoes cost?
13. 13.₹130 is shared between Isha and Sneha in the ratio 5 : 8. How many rupees does Sneha get?
14. 14.If 6 notebooks cost ₹252, how many rupees do 3 notebooks cost?
15. 15.Are 3, 9, 2 and 9 in proportion? (a) Yes (b) No
16. 16.Write the ratio 15 : 27 in its simplest form. (a) 15 : 27 (b) 6 : 10 (c) 9 : 5 (d) 5 : 9
17. 17.A garden has 4 rose plants and 8 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 2 (b) 4 : 8 (c) 2 : 1 (d) 2 : 3
18. 18.Are 6, 24, 9 and 36 in proportion? (a) Yes (b) No
19. 19.Write the ratio 35 : 63 in its simplest form. (a) 5 : 9 (b) 6 : 10 (c) 35 : 63 (d) 9 : 5
20. 20.Write the ratio 35 : 15 in its simplest form. (a) 3 : 7 (b) 35 : 15 (c) 8 : 4 (d) 7 : 3
21. 21.1 : 3 = ? : 12
22. 22.If 4 pens cost ₹140, how many rupees do 6 pens cost?
23. 23.4 : 7 = 28 : ?
24. 24.If 8 pens cost ₹200, how many rupees do 9 pens cost?
25. 25.Are 24, 27, 32 and 39 in proportion? (a) Yes (b) No
26. 26.7 : 9 = 56 : ?
27. 27.4 : 5 = 40 : ?
28. 28.₹840 is shared between Kabir and Diya in the ratio 2 : 5. How many rupees does Diya get?
29. 29.A garden has 35 rose plants and 45 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 9 (b) 35 : 45 (c) 8 : 10 (d) 9 : 7
30. 30.Write the ratio 24 : 27 in its simplest form. (a) 8 : 9 (b) 24 : 27 (c) 9 : 10 (d) 9 : 8
31. 31.₹1440 is shared between Isha and Karan in the ratio 4 : 5. How many rupees does Karan get?
32. 32.2 : 5 = 12 : ?
33. 33.If 3 ice creams cost ₹75, how many rupees do 2 ice creams cost?
34. 34.A basket has 72 mangoes and 40 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 9 (b) 9 : 5 (c) 10 : 6 (d) 72 : 40
35. 35.₹140 is shared between Priya and Karan in the ratio 1 : 6. How many rupees does Priya get?
36. 36.A team has 27 batters and 36 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 5 (b) 3 : 4 (c) 4 : 3 (d) 27 : 36
37. 37.₹360 is shared between Aditya and Kavya in the ratio 1 : 5. How many rupees does Kavya get?
38. 38.2 : 3 = ? : 24
39. 39.₹810 is shared between Manav and Vivaan in the ratio 4 : 5. How many rupees does Vivaan get?
40. 40.A basket has 10 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 5 (b) 6 : 7 (c) 5 : 6 (d) 10 : 12

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