Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 410 · 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.A box has 15 red pens and 18 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 6 : 7 (b) 15 : 18 (c) 5 : 6 (d) 6 : 5
2. 2.7 : 9 = ? : 36
3. 3.Are 6, 54, 4 and 37 in proportion? (a) No (b) Yes
4. 4.If 2 mangoes cost ₹76, how many rupees do 12 mangoes cost?
5. 5.Are 10, 14, 15 and 22 in proportion? (a) Yes (b) No
6. 6.If 7 bus tickets cost ₹98, how many rupees do 10 bus tickets cost?
7. 7.If 8 bus tickets cost ₹472, how many rupees do 6 bus tickets cost?
8. 8.Write the ratio 12 : 4 in its simplest form. (a) 12 : 4 (b) 1 : 3 (c) 3 : 1 (d) 4 : 2
9. 9.8 : 9 = 80 : ?
10. 10.Are 20, 32, 30 and 48 in proportion? (a) No (b) Yes
11. 11.3 : 8 = 27 : ?
12. 12.Write the ratio 16 : 28 in its simplest form. (a) 7 : 4 (b) 16 : 28 (c) 4 : 7 (d) 5 : 8
13. 13.If 2 notebooks cost ₹22, how many rupees do 3 notebooks cost?
14. 14.4 : 7 = ? : 63
15. 15.A basket has 24 mangoes and 16 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 3 (b) 3 : 2 (c) 24 : 16 (d) 4 : 3
16. 16.₹1430 is shared between Dev and Pooja in the ratio 5 : 8. How many rupees does Pooja get?
17. 17.₹1560 is shared between Kavya and Arjun in the ratio 5 : 8. How many rupees does Kavya get?
18. 18.Write the ratio 49 : 35 in its simplest form. (a) 5 : 7 (b) 8 : 6 (c) 7 : 5 (d) 49 : 35
19. 19.Are 10, 15, 4 and 6 in proportion? (a) Yes (b) No
20. 20.1 : 2 = ? : 20
21. 21.1 : 2 = ? : 16
22. 22.₹300 is shared between Nisha and Joseph in the ratio 3 : 7. How many rupees does Joseph get?
23. 23.₹550 is shared between Arjun and Riya in the ratio 2 : 9. How many rupees does Arjun get?
24. 24.If 3 notebooks cost ₹90, how many rupees do 11 notebooks cost?
25. 25.5 : 7 = 50 : ?
26. 26.A bus goes 90 km in 2 hours. At the same speed, how many km does it go in 3 hours?
27. 27.4 : 5 = ? : 10
28. 28.7 : 8 = 28 : ?
29. 29.A class has 16 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 16 : 12 (b) 3 : 4 (c) 4 : 3 (d) 5 : 4
30. 30.A train goes 200 km in 4 hours. At the same speed, how many km does it go in 1 hour?
31. 31.Write the ratio 16 : 20 in its simplest form. (a) 5 : 4 (b) 4 : 5 (c) 5 : 6 (d) 16 : 20
32. 32.A class has 28 boys and 63 girls. What is the ratio of boys to girls in its simplest form? (a) 28 : 63 (b) 4 : 9 (c) 9 : 4 (d) 5 : 10
33. 33.1 : 3 = 3 : ?
34. 34.4 : 9 = ? : 45
35. 35.A team has 54 batters and 12 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 10 : 3 (b) 54 : 12 (c) 9 : 2 (d) 2 : 9
36. 36.Write the ratio 25 : 45 in its simplest form. (a) 5 : 9 (b) 9 : 5 (c) 25 : 45 (d) 6 : 10
37. 37.A basket has 12 mangoes and 2 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 6 (b) 7 : 2 (c) 6 : 1 (d) 12 : 2
38. 38.Write the ratio 48 : 56 in its simplest form. (a) 7 : 8 (b) 48 : 56 (c) 6 : 7 (d) 7 : 6
39. 39.₹980 is shared between Gurpreet and Priya in the ratio 1 : 6. How many rupees does Priya get?
40. 40.A garden has 9 rose plants and 63 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 63 (b) 7 : 1 (c) 2 : 8 (d) 1 : 7

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