Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 60 · 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.Write the ratio 18 : 30 in its simplest form. (a) 5 : 3 (b) 18 : 30 (c) 4 : 6 (d) 3 : 5
2. 2.5 : 8 = ? : 40
3. 3.6 : 7 = ? : 35
4. 4.Are 6, 21, 16 and 58 in proportion? (a) Yes (b) No
5. 5.A car goes 320 km in 4 hours. At the same speed, how many km does it go in 3 hours?
6. 6.A car goes 240 km in 6 hours. At the same speed, how many km does it go in 2 hours?
7. 7.If 4 pens cost ₹192, how many rupees do 3 pens cost?
8. 8.A basket has 42 mangoes and 35 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 6 (b) 42 : 35 (c) 6 : 5 (d) 7 : 6
9. 9.If 2 pens cost ₹80, how many rupees do 9 pens cost?
10. 10.Are 2, 8, 9 and 36 in proportion? (a) Yes (b) No
11. 11.A team has 48 batters and 40 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 48 : 40 (b) 7 : 6 (c) 6 : 5 (d) 5 : 6
12. 12.4 : 9 = ? : 54
13. 13.Are 8, 10, 28 and 36 in proportion? (a) Yes (b) No
14. 14.₹1300 is shared between Ishaan and Joseph in the ratio 3 : 7. How many rupees does Ishaan get?
15. 15.Are 10, 25, 12 and 30 in proportion? (a) No (b) Yes
16. 16.A train goes 300 km in 6 hours. At the same speed, how many km does it go in 4 hours?
17. 17.₹770 is shared between Isha and Pooja in the ratio 2 : 9. How many rupees does Pooja get?
18. 18.A library shelf has 45 storybooks and 81 science books. What is the ratio of storybooks to science books in its simplest form? (a) 45 : 81 (b) 6 : 10 (c) 9 : 5 (d) 5 : 9
19. 19.If 3 mangoes cost ₹120, how many rupees do 7 mangoes cost?
20. 20.Write the ratio 42 : 24 in its simplest form. (a) 8 : 5 (b) 42 : 24 (c) 4 : 7 (d) 7 : 4
21. 21.Write the ratio 5 : 15 in its simplest form. (a) 3 : 1 (b) 1 : 3 (c) 2 : 4 (d) 5 : 15
22. 22.₹1540 is shared between Kabir and Manav in the ratio 5 : 9. How many rupees does Manav get?
23. 23.₹700 is shared between Gurpreet and Karan in the ratio 2 : 3. How many rupees does Gurpreet get?
24. 24.1 : 3 = 10 : ?
25. 25.A train goes 60 km in 2 hours. At the same speed, how many km does it go in 7 hours?
26. 26.A basket has 42 mangoes and 24 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 7 (b) 7 : 4 (c) 8 : 5 (d) 42 : 24
27. 27.4 : 7 = 32 : ?
28. 28.A garden has 30 rose plants and 25 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 6 : 5 (b) 30 : 25 (c) 5 : 6 (d) 7 : 6
29. 29.Write the ratio 48 : 8 in its simplest form. (a) 48 : 8 (b) 6 : 1 (c) 7 : 2 (d) 1 : 6
30. 30.2 : 9 = ? : 81
31. 31.If 5 bus tickets cost ₹205, how many rupees do 8 bus tickets cost?
32. 32.A class has 4 boys and 20 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 1 (b) 4 : 20 (c) 2 : 6 (d) 1 : 5
33. 33.6 : 7 = 48 : ?
34. 34.If 8 pens cost ₹104, how many rupees do 5 pens cost?
35. 35.Write the ratio 30 : 25 in its simplest form. (a) 30 : 25 (b) 7 : 6 (c) 5 : 6 (d) 6 : 5
36. 36.Write the ratio 36 : 32 in its simplest form. (a) 9 : 8 (b) 10 : 9 (c) 8 : 9 (d) 36 : 32
37. 37.3 : 4 = 9 : ?
38. 38.A box has 16 red pens and 12 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 3 (b) 5 : 4 (c) 16 : 12 (d) 3 : 4
39. 39.A garden has 28 rose plants and 49 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 8 (b) 28 : 49 (c) 4 : 7 (d) 7 : 4
40. 40.₹900 is shared between Ananya and Pooja in the ratio 1 : 4. How many rupees does Ananya get?

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