Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 21 · 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. 1.3 : 8 = 6 : ?
2. 2.If 4 notebooks cost ₹88, how many rupees do 11 notebooks cost?
3. 3.A car goes 130 km in 2 hours. At the same speed, how many km does it go in 6 hours?
4. 4.₹260 is shared between Joseph and Nisha in the ratio 6 : 7. How many rupees does Joseph get?
5. 5.A scooter goes 210 km in 3 hours. At the same speed, how many km does it go in 6 hours?
6. 6.Write the ratio 12 : 42 in its simplest form. (a) 3 : 8 (b) 2 : 7 (c) 12 : 42 (d) 7 : 2
7. 7.₹1400 is shared between Kabir and Nisha in the ratio 3 : 4. How many rupees does Kabir get?
8. 8.If 4 pens cost ₹196, how many rupees do 11 pens cost?
9. 9.A class has 12 boys and 42 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 7 (b) 12 : 42 (c) 3 : 8 (d) 7 : 2
10. 10.5 : 6 = 25 : ?
11. 11.Are 25, 45, 30 and 56 in proportion? (a) Yes (b) No
12. 12.Are 2, 10, 8 and 42 in proportion? (a) No (b) Yes
13. 13.Are 15, 35, 27 and 63 in proportion? (a) Yes (b) No
14. 14.Write the ratio 35 : 10 in its simplest form. (a) 2 : 7 (b) 35 : 10 (c) 8 : 3 (d) 7 : 2
15. 15.If 7 ice creams cost ₹322, how many rupees do 11 ice creams cost?
16. 16.If 5 notebooks cost ₹125, how many rupees do 10 notebooks cost?
17. 17.Write the ratio 16 : 18 in its simplest form. (a) 16 : 18 (b) 9 : 8 (c) 9 : 10 (d) 8 : 9
18. 18.A garden has 6 rose plants and 10 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 3 (b) 6 : 10 (c) 3 : 5 (d) 4 : 6
19. 19.2 : 3 = 12 : ?
20. 20.₹1080 is shared between Sneha and Nisha in the ratio 2 : 7. How many rupees does Sneha get?
21. 21.Are 10, 18, 25 and 46 in proportion? (a) No (b) Yes
22. 22.Are 6, 14, 21 and 52 in proportion? (a) No (b) Yes
23. 23.Write the ratio 16 : 20 in its simplest form. (a) 5 : 6 (b) 16 : 20 (c) 5 : 4 (d) 4 : 5
24. 24.Write the ratio 72 : 9 in its simplest form. (a) 8 : 1 (b) 1 : 8 (c) 9 : 2 (d) 72 : 9
25. 25.If 4 chocolates cost ₹180, how many rupees do 9 chocolates cost?
26. 26.1 : 4 = ? : 40
27. 27.3 : 4 = 9 : ?
28. 28.4 : 5 = ? : 20
29. 29.2 : 5 = 20 : ?
30. 30.A car goes 195 km in 3 hours. At the same speed, how many km does it go in 1 hour?
31. 31.A team has 63 batters and 81 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 7 : 9 (b) 63 : 81 (c) 8 : 10 (d) 9 : 7
32. 32.₹770 is shared between Rohan and Riya in the ratio 2 : 9. How many rupees does Rohan get?
33. 33.Write the ratio 15 : 27 in its simplest form. (a) 15 : 27 (b) 9 : 5 (c) 6 : 10 (d) 5 : 9
34. 34.A car goes 60 km in 2 hours. At the same speed, how many km does it go in 7 hours?
35. 35.Write the ratio 56 : 32 in its simplest form. (a) 8 : 5 (b) 56 : 32 (c) 7 : 4 (d) 4 : 7
36. 36.A class has 24 boys and 18 girls. What is the ratio of boys to girls in its simplest form? (a) 24 : 18 (b) 5 : 4 (c) 3 : 4 (d) 4 : 3
37. 37.A bus goes 140 km in 2 hours. At the same speed, how many km does it go in 8 hours?
38. 38.A class has 8 boys and 18 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 9 (b) 5 : 10 (c) 8 : 18 (d) 9 : 4
39. 39.₹1330 is shared between Zoya and Manav in the ratio 1 : 6. How many rupees does Manav get?
40. 40.Write the ratio 6 : 27 in its simplest form. (a) 3 : 10 (b) 2 : 9 (c) 6 : 27 (d) 9 : 2

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