Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 139 · 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.₹280 is shared between Ishaan and Tara in the ratio 2 : 5. How many rupees does Tara get?
2. 2.₹280 is shared between Ananya and Sneha in the ratio 3 : 4. How many rupees does Ananya get?
3. 3.If 7 mangoes cost ₹224, how many rupees do 3 mangoes cost?
4. 4.4 : 9 = 8 : ?
5. 5.Write the ratio 6 : 27 in its simplest form. (a) 6 : 27 (b) 3 : 10 (c) 9 : 2 (d) 2 : 9
6. 6.Write the ratio 15 : 27 in its simplest form. (a) 6 : 10 (b) 9 : 5 (c) 15 : 27 (d) 5 : 9
7. 7.8 : 9 = 56 : ?
8. 8.₹1320 is shared between Sneha and Meera in the ratio 4 : 7. How many rupees does Sneha get?
9. 9.If 4 ice creams cost ₹164, how many rupees do 6 ice creams cost?
10. 10.Are 4, 28, 3 and 21 in proportion? (a) No (b) Yes
11. 11.Write the ratio 7 : 63 in its simplest form. (a) 9 : 1 (b) 2 : 10 (c) 7 : 63 (d) 1 : 9
12. 12.₹570 is shared between Ishaan and Riya in the ratio 1 : 2. How many rupees does Riya get?
13. 13.Write the ratio 63 : 72 in its simplest form. (a) 8 : 7 (b) 8 : 9 (c) 7 : 8 (d) 63 : 72
14. 14.If 3 bus tickets cost ₹24, how many rupees do 4 bus tickets cost?
15. 15.A bus goes 180 km in 6 hours. At the same speed, how many km does it go in 7 hours?
16. 16.Are 4, 6, 12 and 21 in proportion? (a) Yes (b) No
17. 17.2 : 5 = ? : 20
18. 18.Write the ratio 20 : 8 in its simplest form. (a) 6 : 3 (b) 2 : 5 (c) 5 : 2 (d) 20 : 8
19. 19.₹390 is shared between Saanvi and Kavya in the ratio 1 : 2. How many rupees does Saanvi get?
20. 20.2 : 5 = 20 : ?
21. 21.Write the ratio 14 : 10 in its simplest form. (a) 14 : 10 (b) 8 : 6 (c) 7 : 5 (d) 5 : 7
22. 22.A train goes 320 km in 4 hours. At the same speed, how many km does it go in 5 hours?
23. 23.A team has 63 batters and 28 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 4 (b) 10 : 5 (c) 63 : 28 (d) 4 : 9
24. 24.Write the ratio 30 : 35 in its simplest form. (a) 30 : 35 (b) 7 : 6 (c) 7 : 8 (d) 6 : 7
25. 25.Write the ratio 8 : 72 in its simplest form. (a) 9 : 1 (b) 1 : 9 (c) 8 : 72 (d) 2 : 10
26. 26.A car goes 280 km in 4 hours. At the same speed, how many km does it go in 8 hours?
27. 27.Write the ratio 56 : 40 in its simplest form. (a) 7 : 5 (b) 8 : 6 (c) 56 : 40 (d) 5 : 7
28. 28.7 : 9 = ? : 18
29. 29.A scooter goes 70 km in 2 hours. At the same speed, how many km does it go in 4 hours?
30. 30.Are 3, 15, 5 and 25 in proportion? (a) No (b) Yes
31. 31.If 5 mangoes cost ₹70, how many rupees do 2 mangoes cost?
32. 32.A library shelf has 8 storybooks and 40 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 1 (b) 1 : 5 (c) 2 : 6 (d) 8 : 40
33. 33.A bus goes 165 km in 3 hours. At the same speed, how many km does it go in 4 hours?
34. 34.₹1050 is shared between Ananya and Arjun in the ratio 1 : 6. How many rupees does Arjun get?
35. 35.₹480 is shared between Karan and Kabir in the ratio 1 : 5. How many rupees does Kabir get?
36. 36.A bus goes 90 km in 2 hours. At the same speed, how many km does it go in 5 hours?
37. 37.₹840 is shared between Meera and Aditya in the ratio 1 : 5. How many rupees does Meera get?
38. 38.A bus goes 400 km in 5 hours. At the same speed, how many km does it go in 6 hours?
39. 39.A train goes 160 km in 4 hours. At the same speed, how many km does it go in 1 hour?
40. 40.A basket has 21 mangoes and 7 apples. What is the ratio of mangoes to apples in its simplest form? (a) 21 : 7 (b) 1 : 3 (c) 3 : 1 (d) 4 : 2

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