Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 40 · 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.Are 9, 15, 27 and 47 in proportion? (a) No (b) Yes
2. 2.2 : 9 = 10 : ?
3. 3.A library shelf has 28 storybooks and 16 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 4 (b) 28 : 16 (c) 8 : 5 (d) 4 : 7
4. 4.Are 6, 9, 18 and 28 in proportion? (a) No (b) Yes
5. 5.3 : 5 = 6 : ?
6. 6.A garden has 81 rose plants and 45 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 10 : 6 (b) 9 : 5 (c) 81 : 45 (d) 5 : 9
7. 7.A car goes 120 km in 3 hours. At the same speed, how many km does it go in 4 hours?
8. 8.Are 15, 21, 25 and 36 in proportion? (a) No (b) Yes
9. 9.A scooter goes 180 km in 6 hours. At the same speed, how many km does it go in 1 hour?
10. 10.₹2210 is shared between Vivaan and Isha in the ratio 8 : 9. How many rupees does Vivaan get?
11. 11.₹600 is shared between Karan and Joseph in the ratio 1 : 3. How many rupees does Joseph get?
12. 12.A bus goes 180 km in 6 hours. At the same speed, how many km does it go in 2 hours?
13. 13.Write the ratio 12 : 4 in its simplest form. (a) 4 : 2 (b) 3 : 1 (c) 1 : 3 (d) 12 : 4
14. 14.A team has 56 batters and 21 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 56 : 21 (b) 8 : 3 (c) 9 : 4 (d) 3 : 8
15. 15.Write the ratio 8 : 4 in its simplest form. (a) 2 : 1 (b) 8 : 4 (c) 1 : 2 (d) 3 : 2
16. 16.₹630 is shared between Arjun and Meera in the ratio 4 : 5. How many rupees does Meera get?
17. 17.5 : 6 = ? : 24
18. 18.₹1300 is shared between Diya and Gurpreet in the ratio 3 : 7. How many rupees does Diya get?
19. 19.A box has 48 red pens and 54 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 48 : 54 (b) 9 : 10 (c) 8 : 9 (d) 9 : 8
20. 20.4 : 5 = 8 : ?
21. 21.Are 2, 18, 6 and 54 in proportion? (a) Yes (b) No
22. 22.A team has 8 batters and 16 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 3 (b) 2 : 1 (c) 8 : 16 (d) 1 : 2
23. 23.If 3 notebooks cost ₹108, how many rupees do 5 notebooks cost?
24. 24.A scooter goes 240 km in 3 hours. At the same speed, how many km does it go in 8 hours?
25. 25.3 : 7 = ? : 35
26. 26.A basket has 14 mangoes and 2 apples. What is the ratio of mangoes to apples in its simplest form? (a) 14 : 2 (b) 7 : 1 (c) 8 : 2 (d) 1 : 7
27. 27.A garden has 9 rose plants and 15 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 6 (b) 5 : 3 (c) 9 : 15 (d) 3 : 5
28. 28.3 : 8 = 12 : ?
29. 29.If 9 bus tickets cost ₹513, how many rupees do 5 bus tickets cost?
30. 30.₹1100 is shared between Sneha and Nisha in the ratio 1 : 9. How many rupees does Sneha get?
31. 31.Are 30, 35, 12 and 14 in proportion? (a) No (b) Yes
32. 32.₹250 is shared between Isha and Priya in the ratio 1 : 4. How many rupees does Isha get?
33. 33.1 : 3 = 10 : ?
34. 34.Are 25, 45, 10 and 19 in proportion? (a) Yes (b) No
35. 35.Write the ratio 36 : 6 in its simplest form. (a) 1 : 6 (b) 6 : 1 (c) 7 : 2 (d) 36 : 6
36. 36.Are 5, 10, 4 and 11 in proportion? (a) No (b) Yes
37. 37.A scooter goes 240 km in 6 hours. At the same speed, how many km does it go in 8 hours?
38. 38.A scooter goes 240 km in 6 hours. At the same speed, how many km does it go in 7 hours?
39. 39.4 : 9 = ? : 27
40. 40.A class has 20 boys and 15 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 4 (b) 20 : 15 (c) 5 : 4 (d) 4 : 3

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