Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 394 · 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 36 : 8 in its simplest form. (a) 2 : 9 (b) 10 : 3 (c) 36 : 8 (d) 9 : 2
2. 2.A library shelf has 9 storybooks and 81 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 1 (b) 9 : 81 (c) 2 : 10 (d) 1 : 9
3. 3.1 : 9 = ? : 18
4. 4.Write the ratio 9 : 24 in its simplest form. (a) 8 : 3 (b) 3 : 8 (c) 4 : 9 (d) 9 : 24
5. 5.If 3 bus tickets cost ₹45, how many rupees do 2 bus tickets cost?
6. 6.4 : 9 = 28 : ?
7. 7.₹150 is shared between Rohan and Arjun in the ratio 1 : 4. How many rupees does Arjun get?
8. 8.₹750 is shared between Riya and Kabir in the ratio 7 : 8. How many rupees does Kabir get?
9. 9.If 6 pens cost ₹84, how many rupees do 10 pens cost?
10. 10.A garden has 8 rose plants and 14 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 4 (b) 8 : 14 (c) 5 : 8 (d) 4 : 7
11. 11.A bus goes 140 km in 4 hours. At the same speed, how many km does it go in 7 hours?
12. 12.4 : 5 = ? : 20
13. 13.Write the ratio 14 : 63 in its simplest form. (a) 3 : 10 (b) 9 : 2 (c) 2 : 9 (d) 14 : 63
14. 14.Write the ratio 18 : 27 in its simplest form. (a) 3 : 2 (b) 3 : 4 (c) 2 : 3 (d) 18 : 27
15. 15.Write the ratio 16 : 24 in its simplest form. (a) 16 : 24 (b) 3 : 2 (c) 2 : 3 (d) 3 : 4
16. 16.₹550 is shared between Joseph and Manav in the ratio 4 : 7. How many rupees does Manav get?
17. 17.If 7 ice creams cost ₹245, how many rupees do 9 ice creams cost?
18. 18.If 8 mangoes cost ₹232, how many rupees do 7 mangoes cost?
19. 19.₹1900 is shared between Zoya and Tara in the ratio 3 : 7. How many rupees does Tara get?
20. 20.If 3 mangoes cost ₹153, how many rupees do 9 mangoes cost?
21. 21.Are 42, 54, 49 and 63 in proportion? (a) Yes (b) No
22. 22.3 : 5 = ? : 15
23. 23.₹1080 is shared between Vivaan and Aditya in the ratio 2 : 7. How many rupees does Aditya get?
24. 24.1 : 3 = 9 : ?
25. 25.4 : 9 = ? : 54
26. 26.If 9 pens cost ₹54, how many rupees do 11 pens cost?
27. 27.Write the ratio 8 : 12 in its simplest form. (a) 8 : 12 (b) 3 : 4 (c) 2 : 3 (d) 3 : 2
28. 28.4 : 7 = ? : 42
29. 29.A class has 18 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 2 (b) 18 : 6 (c) 1 : 3 (d) 3 : 1
30. 30.Write the ratio 30 : 36 in its simplest form. (a) 5 : 6 (b) 6 : 7 (c) 30 : 36 (d) 6 : 5
31. 31.A scooter goes 300 km in 4 hours. At the same speed, how many km does it go in 3 hours?
32. 32.If 7 ice creams cost ₹28, how many rupees do 3 ice creams cost?
33. 33.Write the ratio 35 : 45 in its simplest form. (a) 35 : 45 (b) 9 : 7 (c) 8 : 10 (d) 7 : 9
34. 34.A train goes 240 km in 6 hours. At the same speed, how many km does it go in 1 hour?
35. 35.₹1870 is shared between Kabir and Rohan in the ratio 4 : 7. How many rupees does Rohan get?
36. 36.A car goes 110 km in 2 hours. At the same speed, how many km does it go in 3 hours?
37. 37.If 8 pens cost ₹144, how many rupees do 7 pens cost?
38. 38.Write the ratio 2 : 6 in its simplest form. (a) 1 : 3 (b) 3 : 1 (c) 2 : 4 (d) 2 : 6
39. 39.₹1120 is shared between Lakshmi and Kabir in the ratio 3 : 5. How many rupees does Lakshmi get?
40. 40.A team has 4 batters and 32 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 1 (b) 4 : 32 (c) 2 : 9 (d) 1 : 8

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets