Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 259 · 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 8 bus tickets cost ₹128, how many rupees do 5 bus tickets cost?
2. 2.4 : 9 = ? : 36
3. 3.Are 10, 14, 35 and 50 in proportion? (a) Yes (b) No
4. 4.If 5 pens cost ₹105, how many rupees do 4 pens cost?
5. 5.If 8 ice creams cost ₹328, how many rupees do 5 ice creams cost?
6. 6.A basket has 42 mangoes and 30 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 7 (b) 8 : 6 (c) 7 : 5 (d) 42 : 30
7. 7.A train goes 225 km in 3 hours. At the same speed, how many km does it go in 4 hours?
8. 8.4 : 9 = ? : 45
9. 9.A basket has 18 mangoes and 21 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 7 (b) 18 : 21 (c) 7 : 8 (d) 7 : 6
10. 10.A library shelf has 25 storybooks and 20 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 5 (b) 25 : 20 (c) 5 : 4 (d) 4 : 5
11. 11.Are 3, 27, 2 and 18 in proportion? (a) Yes (b) No
12. 12.3 : 5 = ? : 30
13. 13.Write the ratio 25 : 45 in its simplest form. (a) 5 : 9 (b) 25 : 45 (c) 9 : 5 (d) 6 : 10
14. 14.If 6 bus tickets cost ₹174, how many rupees do 3 bus tickets cost?
15. 15.₹630 is shared between Nisha and Dev in the ratio 3 : 4. How many rupees does Dev get?
16. 16.If 4 bus tickets cost ₹168, how many rupees do 8 bus tickets cost?
17. 17.If 5 pens cost ₹35, how many rupees do 9 pens cost?
18. 18.3 : 8 = 12 : ?
19. 19.A team has 21 batters and 49 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 7 (b) 21 : 49 (c) 4 : 8 (d) 7 : 3
20. 20.₹1260 is shared between Rahul and Manav in the ratio 5 : 9. How many rupees does Manav get?
21. 21.2 : 3 = ? : 30
22. 22.₹240 is shared between Sneha and Kavya in the ratio 5 : 7. How many rupees does Sneha get?
23. 23.3 : 8 = 24 : ?
24. 24.1 : 8 = 4 : ?
25. 25.Are 18, 24, 21 and 31 in proportion? (a) Yes (b) No
26. 26.If 6 mangoes cost ₹270, how many rupees do 5 mangoes cost?
27. 27.A team has 12 batters and 28 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 8 (b) 7 : 3 (c) 12 : 28 (d) 3 : 7
28. 28.Are 6, 16, 12 and 33 in proportion? (a) No (b) Yes
29. 29.₹630 is shared between Kavya and Karan in the ratio 2 : 5. How many rupees does Karan get?
30. 30.If 5 pens cost ₹250, how many rupees do 8 pens cost?
31. 31.A library shelf has 3 storybooks and 21 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 1 (b) 2 : 8 (c) 1 : 7 (d) 3 : 21
32. 32.If 3 chocolates cost ₹114, how many rupees do 8 chocolates cost?
33. 33.A car goes 200 km in 5 hours. At the same speed, how many km does it go in 2 hours?
34. 34.₹1760 is shared between Arjun and Lakshmi in the ratio 2 : 9. How many rupees does Arjun get?
35. 35.Write the ratio 30 : 24 in its simplest form. (a) 6 : 5 (b) 4 : 5 (c) 5 : 4 (d) 30 : 24
36. 36.Write the ratio 56 : 7 in its simplest form. (a) 56 : 7 (b) 9 : 2 (c) 8 : 1 (d) 1 : 8
37. 37.Are 15, 35, 21 and 50 in proportion? (a) No (b) Yes
38. 38.A library shelf has 63 storybooks and 18 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 2 (b) 8 : 3 (c) 63 : 18 (d) 2 : 7
39. 39.5 : 8 = ? : 32
40. 40.₹600 is shared between Ishaan and Joseph in the ratio 1 : 3. How many rupees does Ishaan get?

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