Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 407 · 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 35 : 5 in its simplest form. (a) 1 : 7 (b) 8 : 2 (c) 35 : 5 (d) 7 : 1
2. 2.Are 35, 45, 49 and 64 in proportion? (a) No (b) Yes
3. 3.A bus goes 165 km in 3 hours. At the same speed, how many km does it go in 5 hours?
4. 4.Are 35, 45, 28 and 36 in proportion? (a) Yes (b) No
5. 5.A bus goes 110 km in 2 hours. At the same speed, how many km does it go in 3 hours?
6. 6.A train goes 350 km in 5 hours. At the same speed, how many km does it go in 6 hours?
7. 7.A scooter goes 105 km in 3 hours. At the same speed, how many km does it go in 7 hours?
8. 8.₹2210 is shared between Arjun and Farhan in the ratio 5 : 8. How many rupees does Arjun get?
9. 9.Write the ratio 8 : 32 in its simplest form. (a) 1 : 4 (b) 2 : 5 (c) 8 : 32 (d) 4 : 1
10. 10.₹960 is shared between Kabir and Aditya in the ratio 5 : 7. How many rupees does Kabir get?
11. 11.Write the ratio 9 : 36 in its simplest form. (a) 4 : 1 (b) 2 : 5 (c) 1 : 4 (d) 9 : 36
12. 12.A train goes 80 km in 2 hours. At the same speed, how many km does it go in 5 hours?
13. 13.If 4 mangoes cost ₹124, how many rupees do 6 mangoes cost?
14. 14.1 : 6 = ? : 36
15. 15.A team has 48 batters and 42 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 7 (b) 9 : 8 (c) 48 : 42 (d) 7 : 8
16. 16.4 : 7 = 40 : ?
17. 17.8 : 9 = 56 : ?
18. 18.A library shelf has 49 storybooks and 21 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 4 (b) 7 : 3 (c) 3 : 7 (d) 49 : 21
19. 19.₹640 is shared between Aditya and Arjun in the ratio 1 : 7. How many rupees does Aditya get?
20. 20.A library shelf has 16 storybooks and 2 science books. What is the ratio of storybooks to science books in its simplest form? (a) 16 : 2 (b) 8 : 1 (c) 1 : 8 (d) 9 : 2
21. 21.3 : 4 = ? : 12
22. 22.Write the ratio 7 : 28 in its simplest form. (a) 2 : 5 (b) 1 : 4 (c) 7 : 28 (d) 4 : 1
23. 23.A scooter goes 195 km in 3 hours. At the same speed, how many km does it go in 7 hours?
24. 24.1 : 5 = 5 : ?
25. 25.Write the ratio 24 : 28 in its simplest form. (a) 24 : 28 (b) 7 : 8 (c) 7 : 6 (d) 6 : 7
26. 26.₹130 is shared between Arjun and Nisha in the ratio 4 : 9. How many rupees does Arjun get?
27. 27.A garden has 32 rose plants and 56 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 8 (b) 7 : 4 (c) 32 : 56 (d) 4 : 7
28. 28.Are 16, 18, 24 and 28 in proportion? (a) No (b) Yes
29. 29.Are 8, 18, 20 and 48 in proportion? (a) No (b) Yes
30. 30.A bus goes 280 km in 4 hours. At the same speed, how many km does it go in 8 hours?
31. 31.₹1360 is shared between Priya and Kavya in the ratio 3 : 5. How many rupees does Priya get?
32. 32.If 9 ice creams cost ₹306, how many rupees do 2 ice creams cost?
33. 33.₹770 is shared between Riya and Aditya in the ratio 2 : 9. How many rupees does Aditya get?
34. 34.₹1120 is shared between Diya and Arjun in the ratio 1 : 6. How many rupees does Diya get?
35. 35.A team has 6 batters and 12 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 1 (b) 2 : 3 (c) 6 : 12 (d) 1 : 2
36. 36.If 8 ice creams cost ₹72, how many rupees do 7 ice creams cost?
37. 37.₹630 is shared between Kabir and Dev in the ratio 3 : 4. How many rupees does Kabir get?
38. 38.₹480 is shared between Vivaan and Pooja in the ratio 5 : 7. How many rupees does Vivaan get?
39. 39.Are 18, 42, 21 and 49 in proportion? (a) No (b) Yes
40. 40.If 9 bus tickets cost ₹234, how many rupees do 7 bus tickets cost?

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