Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 74 · 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 15, 40, 9 and 24 in proportion? (a) Yes (b) No
2. 2.4 : 9 = 8 : ?
3. 3.If 3 mangoes cost ₹84, how many rupees do 10 mangoes cost?
4. 4.Write the ratio 63 : 35 in its simplest form. (a) 10 : 6 (b) 63 : 35 (c) 9 : 5 (d) 5 : 9
5. 5.Write the ratio 25 : 35 in its simplest form. (a) 25 : 35 (b) 6 : 8 (c) 5 : 7 (d) 7 : 5
6. 6.Are 3, 21, 6 and 42 in proportion? (a) No (b) Yes
7. 7.A team has 4 batters and 6 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 3 (b) 3 : 2 (c) 3 : 4 (d) 4 : 6
8. 8.₹910 is shared between Kavya and Arjun in the ratio 6 : 7. How many rupees does Arjun get?
9. 9.If 7 mangoes cost ₹175, how many rupees do 10 mangoes cost?
10. 10.A library shelf has 20 storybooks and 15 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 4 (b) 20 : 15 (c) 3 : 4 (d) 4 : 3
11. 11.A basket has 24 mangoes and 27 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 10 (b) 24 : 27 (c) 9 : 8 (d) 8 : 9
12. 12.2 : 5 = 20 : ?
13. 13.Are 35, 40, 14 and 18 in proportion? (a) No (b) Yes
14. 14.Are 6, 27, 8 and 37 in proportion? (a) No (b) Yes
15. 15.A basket has 27 mangoes and 18 apples. What is the ratio of mangoes to apples in its simplest form? (a) 27 : 18 (b) 4 : 3 (c) 3 : 2 (d) 2 : 3
16. 16.₹180 is shared between Nisha and Aarav in the ratio 1 : 2. How many rupees does Aarav get?
17. 17.If 4 mangoes cost ₹72, how many rupees do 2 mangoes cost?
18. 18.Write the ratio 32 : 12 in its simplest form. (a) 8 : 3 (b) 32 : 12 (c) 9 : 4 (d) 3 : 8
19. 19.A class has 28 boys and 36 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 10 (b) 28 : 36 (c) 7 : 9 (d) 9 : 7
20. 20.A train goes 130 km in 2 hours. At the same speed, how many km does it go in 6 hours?
21. 21.5 : 9 = 45 : ?
22. 22.If 4 chocolates cost ₹40, how many rupees do 8 chocolates cost?
23. 23.If 9 bus tickets cost ₹513, how many rupees do 11 bus tickets cost?
24. 24.2 : 7 = ? : 42
25. 25.Write the ratio 3 : 9 in its simplest form. (a) 3 : 9 (b) 3 : 1 (c) 1 : 3 (d) 2 : 4
26. 26.If 5 mangoes cost ₹260, how many rupees do 11 mangoes cost?
27. 27.If 8 chocolates cost ₹32, how many rupees do 2 chocolates cost?
28. 28.3 : 8 = 6 : ?
29. 29.₹950 is shared between Aarav and Isha in the ratio 2 : 3. How many rupees does Isha get?
30. 30.Write the ratio 56 : 72 in its simplest form. (a) 56 : 72 (b) 9 : 7 (c) 7 : 9 (d) 8 : 10
31. 31.Are 24, 42, 8 and 14 in proportion? (a) No (b) Yes
32. 32.Are 8, 36, 10 and 45 in proportion? (a) Yes (b) No
33. 33.₹1440 is shared between Gurpreet and Saanvi in the ratio 3 : 5. How many rupees does Gurpreet get?
34. 34.A class has 18 boys and 81 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 10 (b) 18 : 81 (c) 9 : 2 (d) 2 : 9
35. 35.Write the ratio 42 : 30 in its simplest form. (a) 8 : 6 (b) 7 : 5 (c) 5 : 7 (d) 42 : 30
36. 36.Write the ratio 49 : 7 in its simplest form. (a) 7 : 1 (b) 1 : 7 (c) 49 : 7 (d) 8 : 2
37. 37.Are 6, 12, 8 and 16 in proportion? (a) No (b) Yes
38. 38.₹1210 is shared between Ananya and Arjun in the ratio 2 : 9. How many rupees does Ananya get?
39. 39.A bus goes 80 km in 2 hours. At the same speed, how many km does it go in 1 hour?
40. 40.A library shelf has 15 storybooks and 24 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 5 (b) 5 : 8 (c) 6 : 9 (d) 15 : 24

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