Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 158 · 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.A bus goes 400 km in 5 hours. At the same speed, how many km does it go in 7 hours?
2. 2.1 : 5 = 2 : ?
3. 3.₹1980 is shared between Farhan and Vivaan in the ratio 4 : 7. How many rupees does Vivaan get?
4. 4.Write the ratio 28 : 49 in its simplest form. (a) 7 : 4 (b) 4 : 7 (c) 28 : 49 (d) 5 : 8
5. 5.5 : 8 = 30 : ?
6. 6.Write the ratio 24 : 56 in its simplest form. (a) 24 : 56 (b) 3 : 7 (c) 4 : 8 (d) 7 : 3
7. 7.If 3 mangoes cost ₹63, how many rupees do 12 mangoes cost?
8. 8.Write the ratio 24 : 32 in its simplest form. (a) 24 : 32 (b) 4 : 5 (c) 4 : 3 (d) 3 : 4
9. 9.₹840 is shared between Arjun and Farhan in the ratio 1 : 5. How many rupees does Arjun get?
10. 10.If 3 ice creams cost ₹42, how many rupees do 10 ice creams cost?
11. 11.A library shelf has 63 storybooks and 35 science books. What is the ratio of storybooks to science books in its simplest form? (a) 63 : 35 (b) 10 : 6 (c) 5 : 9 (d) 9 : 5
12. 12.₹300 is shared between Riya and Karan in the ratio 7 : 8. How many rupees does Riya get?
13. 13.Write the ratio 18 : 63 in its simplest form. (a) 18 : 63 (b) 3 : 8 (c) 2 : 7 (d) 7 : 2
14. 14.₹770 is shared between Gurpreet and Isha in the ratio 2 : 9. How many rupees does Gurpreet get?
15. 15.A car goes 160 km in 2 hours. At the same speed, how many km does it go in 3 hours?
16. 16.8 : 9 = ? : 45
17. 17.Write the ratio 7 : 56 in its simplest form. (a) 8 : 1 (b) 1 : 8 (c) 2 : 9 (d) 7 : 56
18. 18.A garden has 9 rose plants and 36 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 36 (b) 1 : 4 (c) 2 : 5 (d) 4 : 1
19. 19.₹1950 is shared between Karan and Tara in the ratio 4 : 9. How many rupees does Tara get?
20. 20.Write the ratio 16 : 56 in its simplest form. (a) 16 : 56 (b) 2 : 7 (c) 3 : 8 (d) 7 : 2
21. 21.Are 10, 12, 25 and 30 in proportion? (a) Yes (b) No
22. 22.Write the ratio 3 : 12 in its simplest form. (a) 3 : 12 (b) 4 : 1 (c) 2 : 5 (d) 1 : 4
23. 23.₹1620 is shared between Rahul and Lakshmi in the ratio 4 : 5. How many rupees does Rahul get?
24. 24.Write the ratio 8 : 32 in its simplest form. (a) 2 : 5 (b) 8 : 32 (c) 1 : 4 (d) 4 : 1
25. 25.If 5 mangoes cost ₹240, how many rupees do 3 mangoes cost?
26. 26.If 2 ice creams cost ₹112, how many rupees do 4 ice creams cost?
27. 27.Are 20, 36, 35 and 63 in proportion? (a) No (b) Yes
28. 28.Are 10, 15, 16 and 25 in proportion? (a) Yes (b) No
29. 29.₹840 is shared between Lakshmi and Isha in the ratio 2 : 5. How many rupees does Isha get?
30. 30.3 : 4 = ? : 8
31. 31.Write the ratio 14 : 8 in its simplest form. (a) 7 : 4 (b) 4 : 7 (c) 14 : 8 (d) 8 : 5
32. 32.A bus goes 90 km in 2 hours. At the same speed, how many km does it go in 5 hours?
33. 33.A scooter goes 160 km in 2 hours. At the same speed, how many km does it go in 1 hour?
34. 34.₹2470 is shared between Arjun and Joseph in the ratio 6 : 7. How many rupees does Joseph get?
35. 35.Write the ratio 6 : 2 in its simplest form. (a) 1 : 3 (b) 6 : 2 (c) 4 : 2 (d) 3 : 1
36. 36.A train goes 150 km in 2 hours. At the same speed, how many km does it go in 1 hour?
37. 37.1 : 2 = 3 : ?
38. 38.A team has 18 batters and 14 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 18 : 14 (b) 10 : 8 (c) 9 : 7 (d) 7 : 9
39. 39.₹2340 is shared between Vivaan and Farhan in the ratio 4 : 9. How many rupees does Farhan get?
40. 40.If 5 chocolates cost ₹230, how many rupees do 7 chocolates cost?

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