Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 352 · 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 32 : 8 in its simplest form. (a) 4 : 1 (b) 5 : 2 (c) 32 : 8 (d) 1 : 4
2. 2.Write the ratio 12 : 2 in its simplest form. (a) 12 : 2 (b) 6 : 1 (c) 1 : 6 (d) 7 : 2
3. 3.₹1960 is shared between Aarav and Karan in the ratio 5 : 9. How many rupees does Karan get?
4. 4.A library shelf has 5 storybooks and 30 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 7 (b) 5 : 30 (c) 1 : 6 (d) 6 : 1
5. 5.A basket has 7 mangoes and 14 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 3 (b) 7 : 14 (c) 2 : 1 (d) 1 : 2
6. 6.₹90 is shared between Joseph and Karan in the ratio 1 : 2. How many rupees does Karan get?
7. 7.3 : 4 = 9 : ?
8. 8.If 2 notebooks cost ₹120, how many rupees do 11 notebooks cost?
9. 9.Write the ratio 42 : 54 in its simplest form. (a) 9 : 7 (b) 8 : 10 (c) 42 : 54 (d) 7 : 9
10. 10.Are 28, 36, 14 and 21 in proportion? (a) Yes (b) No
11. 11.Are 12, 20, 15 and 25 in proportion? (a) Yes (b) No
12. 12.If 4 notebooks cost ₹40, how many rupees do 5 notebooks cost?
13. 13.1 : 9 = ? : 27
14. 14.A team has 56 batters and 32 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 7 (b) 56 : 32 (c) 7 : 4 (d) 8 : 5
15. 15.If 5 ice creams cost ₹220, how many rupees do 9 ice creams cost?
16. 16.₹1440 is shared between Rohan and Karan in the ratio 7 : 9. How many rupees does Karan get?
17. 17.₹880 is shared between Manav and Diya in the ratio 4 : 7. How many rupees does Diya get?
18. 18.₹1400 is shared between Saanvi and Farhan in the ratio 2 : 5. How many rupees does Farhan get?
19. 19.2 : 5 = 12 : ?
20. 20.If 6 mangoes cost ₹228, how many rupees do 8 mangoes cost?
21. 21.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) 35 : 45 (b) 8 : 10 (c) 9 : 7 (d) 7 : 9
22. 22.If 9 pens cost ₹405, how many rupees do 6 pens cost?
23. 23.If 9 bus tickets cost ₹315, how many rupees do 7 bus tickets cost?
24. 24.3 : 4 = 27 : ?
25. 25.If 9 bus tickets cost ₹234, how many rupees do 7 bus tickets cost?
26. 26.Write the ratio 21 : 27 in its simplest form. (a) 8 : 10 (b) 9 : 7 (c) 7 : 9 (d) 21 : 27
27. 27.A library shelf has 32 storybooks and 12 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 4 (b) 3 : 8 (c) 8 : 3 (d) 32 : 12
28. 28.A basket has 63 mangoes and 81 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 9 (b) 8 : 10 (c) 63 : 81 (d) 9 : 7
29. 29.3 : 5 = ? : 15
30. 30.1 : 5 = ? : 20
31. 31.A basket has 18 mangoes and 16 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 9 (b) 18 : 16 (c) 10 : 9 (d) 9 : 8
32. 32.₹540 is shared between Priya and Aditya in the ratio 1 : 5. How many rupees does Aditya get?
33. 33.Are 15, 20, 6 and 9 in proportion? (a) No (b) Yes
34. 34.Write the ratio 20 : 28 in its simplest form. (a) 6 : 8 (b) 20 : 28 (c) 7 : 5 (d) 5 : 7
35. 35.₹150 is shared between Rahul and Diya in the ratio 2 : 3. How many rupees does Diya get?
36. 36.Are 9, 24, 6 and 16 in proportion? (a) No (b) Yes
37. 37.If 9 notebooks cost ₹225, how many rupees do 12 notebooks cost?
38. 38.A train goes 300 km in 6 hours. At the same speed, how many km does it go in 7 hours?
39. 39.A box has 63 red pens and 36 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 7 : 4 (b) 8 : 5 (c) 63 : 36 (d) 4 : 7
40. 40.3 : 7 = ? : 56

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