Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 201 · 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 4 : 32 in its simplest form. (a) 4 : 32 (b) 2 : 9 (c) 8 : 1 (d) 1 : 8
2. 2.A library shelf has 10 storybooks and 12 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 6 (b) 6 : 5 (c) 10 : 12 (d) 6 : 7
3. 3.If 3 ice creams cost ₹138, how many rupees do 4 ice creams cost?
4. 4.A scooter goes 330 km in 6 hours. At the same speed, how many km does it go in 3 hours?
5. 5.Write the ratio 32 : 40 in its simplest form. (a) 32 : 40 (b) 5 : 4 (c) 5 : 6 (d) 4 : 5
6. 6.Are 12, 32, 21 and 56 in proportion? (a) No (b) Yes
7. 7.8 : 9 = ? : 54
8. 8.2 : 7 = ? : 35
9. 9.A team has 6 batters and 21 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 8 (b) 2 : 7 (c) 7 : 2 (d) 6 : 21
10. 10.₹780 is shared between Saanvi and Rohan in the ratio 4 : 9. How many rupees does Rohan get?
11. 11.5 : 7 = ? : 49
12. 12.A bus goes 200 km in 4 hours. At the same speed, how many km does it go in 5 hours?
13. 13.A train goes 195 km in 3 hours. At the same speed, how many km does it go in 6 hours?
14. 14.3 : 8 = ? : 24
15. 15.Are 24, 28, 54 and 63 in proportion? (a) Yes (b) No
16. 16.Write the ratio 21 : 35 in its simplest form. (a) 21 : 35 (b) 3 : 5 (c) 4 : 6 (d) 5 : 3
17. 17.Write the ratio 9 : 18 in its simplest form. (a) 1 : 2 (b) 9 : 18 (c) 2 : 3 (d) 2 : 1
18. 18.A garden has 56 rose plants and 72 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 10 (b) 7 : 9 (c) 9 : 7 (d) 56 : 72
19. 19.₹1560 is shared between Riya and Zoya in the ratio 5 : 8. How many rupees does Zoya get?
20. 20.₹70 is shared between Kavya and Arjun in the ratio 3 : 4. How many rupees does Arjun get?
21. 21.Write the ratio 30 : 48 in its simplest form. (a) 30 : 48 (b) 8 : 5 (c) 5 : 8 (d) 6 : 9
22. 22.If 6 notebooks cost ₹192, how many rupees do 9 notebooks cost?
23. 23.A team has 8 batters and 10 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 10 (b) 5 : 4 (c) 4 : 5 (d) 5 : 6
24. 24.Are 42, 48, 63 and 72 in proportion? (a) Yes (b) No
25. 25.₹600 is shared between Tara and Gurpreet in the ratio 1 : 4. How many rupees does Tara get?
26. 26.A team has 12 batters and 10 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 6 (b) 12 : 10 (c) 6 : 5 (d) 7 : 6
27. 27.Are 28, 36, 14 and 19 in proportion? (a) No (b) Yes
28. 28.3 : 7 = 27 : ?
29. 29.Are 24, 30, 20 and 26 in proportion? (a) Yes (b) No
30. 30.6 : 7 = 12 : ?
31. 31.Write the ratio 48 : 8 in its simplest form. (a) 1 : 6 (b) 6 : 1 (c) 48 : 8 (d) 7 : 2
32. 32.If 3 mangoes cost ₹138, how many rupees do 9 mangoes cost?
33. 33.₹1980 is shared between Ishaan and Ananya in the ratio 3 : 8. How many rupees does Ishaan get?
34. 34.If 8 mangoes cost ₹104, how many rupees do 2 mangoes cost?
35. 35.Are 8, 10, 12 and 17 in proportion? (a) Yes (b) No
36. 36.A bus goes 180 km in 6 hours. At the same speed, how many km does it go in 5 hours?
37. 37.A team has 6 batters and 36 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 36 (b) 1 : 6 (c) 2 : 7 (d) 6 : 1
38. 38.₹560 is shared between Aditya and Joseph in the ratio 1 : 6. How many rupees does Joseph get?
39. 39.A car goes 220 km in 4 hours. At the same speed, how many km does it go in 7 hours?
40. 40.A box has 49 red pens and 42 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 49 : 42 (b) 6 : 7 (c) 7 : 6 (d) 8 : 7

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