Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 29 · 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 7 notebooks cost ₹28, how many rupees do 9 notebooks cost?
2. 2.Write the ratio 6 : 4 in its simplest form. (a) 4 : 3 (b) 3 : 2 (c) 6 : 4 (d) 2 : 3
3. 3.A bus goes 325 km in 5 hours. At the same speed, how many km does it go in 2 hours?
4. 4.Are 4, 18, 18 and 81 in proportion? (a) No (b) Yes
5. 5.Write the ratio 21 : 18 in its simplest form. (a) 21 : 18 (b) 8 : 7 (c) 6 : 7 (d) 7 : 6
6. 6.Write the ratio 40 : 5 in its simplest form. (a) 40 : 5 (b) 8 : 1 (c) 1 : 8 (d) 9 : 2
7. 7.A scooter goes 70 km in 2 hours. At the same speed, how many km does it go in 1 hour?
8. 8.If 7 ice creams cost ₹112, how many rupees do 2 ice creams cost?
9. 9.1 : 3 = ? : 27
10. 10.₹330 is shared between Kabir and Manav in the ratio 2 : 9. How many rupees does Kabir get?
11. 11.1 : 4 = 3 : ?
12. 12.If 8 bus tickets cost ₹104, how many rupees do 11 bus tickets cost?
13. 13.A basket has 15 mangoes and 24 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 5 (b) 6 : 9 (c) 15 : 24 (d) 5 : 8
14. 14.₹1820 is shared between Lakshmi and Sneha in the ratio 6 : 7. How many rupees does Lakshmi get?
15. 15.A train goes 480 km in 6 hours. At the same speed, how many km does it go in 2 hours?
16. 16.If 3 notebooks cost ₹171, how many rupees do 9 notebooks cost?
17. 17.2 : 9 = ? : 90
18. 18.If 3 bus tickets cost ₹36, how many rupees do 7 bus tickets cost?
19. 19.If 2 bus tickets cost ₹40, how many rupees do 5 bus tickets cost?
20. 20.Are 12, 20, 6 and 13 in proportion? (a) No (b) Yes
21. 21.Are 6, 48, 4 and 35 in proportion? (a) No (b) Yes
22. 22.₹1760 is shared between Joseph and Pooja in the ratio 4 : 7. How many rupees does Pooja get?
23. 23.₹960 is shared between Kavya and Ananya in the ratio 5 : 7. How many rupees does Kavya get?
24. 24.Write the ratio 8 : 36 in its simplest form. (a) 3 : 10 (b) 2 : 9 (c) 9 : 2 (d) 8 : 36
25. 25.₹490 is shared between Rohan and Ananya in the ratio 3 : 4. How many rupees does Rohan get?
26. 26.If 2 ice creams cost ₹30, how many rupees do 12 ice creams cost?
27. 27.₹700 is shared between Ananya and Aarav in the ratio 1 : 9. How many rupees does Ananya get?
28. 28.A car goes 250 km in 5 hours. At the same speed, how many km does it go in 1 hour?
29. 29.Are 30, 42, 35 and 49 in proportion? (a) Yes (b) No
30. 30.If 7 bus tickets cost ₹147, how many rupees do 11 bus tickets cost?
31. 31.Are 6, 12, 5 and 10 in proportion? (a) No (b) Yes
32. 32.Are 2, 4, 8 and 16 in proportion? (a) No (b) Yes
33. 33.Write the ratio 4 : 8 in its simplest form. (a) 2 : 1 (b) 2 : 3 (c) 4 : 8 (d) 1 : 2
34. 34.2 : 5 = ? : 10
35. 35.1 : 5 = ? : 40
36. 36.₹2280 is shared between Arjun and Sneha in the ratio 5 : 7. How many rupees does Arjun get?
37. 37.A scooter goes 275 km in 5 hours. At the same speed, how many km does it go in 6 hours?
38. 38.A scooter goes 130 km in 2 hours. At the same speed, how many km does it go in 6 hours?
39. 39.A scooter goes 300 km in 4 hours. At the same speed, how many km does it go in 7 hours?
40. 40.Are 25, 30, 40 and 50 in proportion? (a) Yes (b) No

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