Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 343 · 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.If 3 mangoes cost ₹81, how many rupees do 7 mangoes cost?
2. 2.A basket has 56 mangoes and 16 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 3 (b) 56 : 16 (c) 7 : 2 (d) 2 : 7
3. 3.4 : 9 = 28 : ?
4. 4.A team has 32 batters and 72 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 32 : 72 (b) 5 : 10 (c) 4 : 9 (d) 9 : 4
5. 5.If 3 bus tickets cost ₹159, how many rupees do 4 bus tickets cost?
6. 6.₹570 is shared between Riya and Ananya in the ratio 1 : 2. How many rupees does Riya get?
7. 7.A basket has 4 mangoes and 6 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 3 (b) 3 : 4 (c) 3 : 2 (d) 4 : 6
8. 8.Write the ratio 18 : 27 in its simplest form. (a) 2 : 3 (b) 18 : 27 (c) 3 : 2 (d) 3 : 4
9. 9.5 : 6 = 30 : ?
10. 10.Are 2, 4, 8 and 17 in proportion? (a) Yes (b) No
11. 11.₹80 is shared between Vivaan and Nisha in the ratio 1 : 7. How many rupees does Vivaan get?
12. 12.₹1520 is shared between Vivaan and Aarav in the ratio 3 : 5. How many rupees does Vivaan get?
13. 13.Write the ratio 12 : 28 in its simplest form. (a) 12 : 28 (b) 4 : 8 (c) 3 : 7 (d) 7 : 3
14. 14.₹560 is shared between Joseph and Pooja in the ratio 5 : 9. How many rupees does Pooja get?
15. 15.₹360 is shared between Nisha and Saanvi in the ratio 2 : 7. How many rupees does Saanvi get?
16. 16.Are 6, 27, 8 and 36 in proportion? (a) No (b) Yes
17. 17.A class has 42 boys and 18 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 7 (b) 7 : 3 (c) 42 : 18 (d) 8 : 4
18. 18.Write the ratio 21 : 9 in its simplest form. (a) 7 : 3 (b) 21 : 9 (c) 3 : 7 (d) 8 : 4
19. 19.₹1820 is shared between Aarav and Lakshmi in the ratio 5 : 9. How many rupees does Lakshmi get?
20. 20.A bus goes 300 km in 4 hours. At the same speed, how many km does it go in 1 hour?
21. 21.A scooter goes 80 km in 2 hours. At the same speed, how many km does it go in 6 hours?
22. 22.4 : 9 = ? : 18
23. 23.Write the ratio 27 : 36 in its simplest form. (a) 27 : 36 (b) 4 : 3 (c) 3 : 4 (d) 4 : 5
24. 24.Write the ratio 32 : 4 in its simplest form. (a) 32 : 4 (b) 1 : 8 (c) 8 : 1 (d) 9 : 2
25. 25.1 : 4 = 7 : ?
26. 26.₹3400 is shared between Gurpreet and Kabir in the ratio 8 : 9. How many rupees does Kabir get?
27. 27.₹560 is shared between Nisha and Kabir in the ratio 3 : 5. How many rupees does Kabir get?
28. 28.Write the ratio 42 : 12 in its simplest form. (a) 7 : 2 (b) 2 : 7 (c) 42 : 12 (d) 8 : 3
29. 29.8 : 9 = ? : 63
30. 30.Write the ratio 21 : 56 in its simplest form. (a) 4 : 9 (b) 21 : 56 (c) 3 : 8 (d) 8 : 3
31. 31.If 3 bus tickets cost ₹30, how many rupees do 7 bus tickets cost?
32. 32.7 : 9 = ? : 36
33. 33.4 : 9 = ? : 54
34. 34.A class has 3 boys and 9 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 4 (b) 3 : 9 (c) 3 : 1 (d) 1 : 3
35. 35.Write the ratio 12 : 3 in its simplest form. (a) 5 : 2 (b) 1 : 4 (c) 12 : 3 (d) 4 : 1
36. 36.A car goes 140 km in 2 hours. At the same speed, how many km does it go in 1 hour?
37. 37.Are 3, 21, 9 and 64 in proportion? (a) Yes (b) No
38. 38.Write the ratio 63 : 7 in its simplest form. (a) 63 : 7 (b) 9 : 1 (c) 1 : 9 (d) 10 : 2
39. 39.Are 6, 10, 9 and 15 in proportion? (a) Yes (b) No
40. 40.If 6 notebooks cost ₹36, how many rupees do 4 notebooks cost?

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