Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 4 · 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. 1.5 : 7 = ? : 63
2. 2.If 3 notebooks cost ₹18, how many rupees do 2 notebooks cost?
3. 3.7 : 9 = 35 : ?
4. 4.₹1600 is shared between Arjun and Farhan in the ratio 1 : 7. How many rupees does Arjun get?
5. 5.Write the ratio 16 : 8 in its simplest form. (a) 16 : 8 (b) 3 : 2 (c) 2 : 1 (d) 1 : 2
6. 6.7 : 8 = 42 : ?
7. 7.₹1530 is shared between Kabir and Gurpreet in the ratio 1 : 8. How many rupees does Kabir get?
8. 8.A class has 12 boys and 10 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 6 (b) 5 : 6 (c) 12 : 10 (d) 6 : 5
9. 9.Are 12, 15, 16 and 21 in proportion? (a) No (b) Yes
10. 10.A bus goes 180 km in 6 hours. At the same speed, how many km does it go in 8 hours?
11. 11.Are 5, 30, 9 and 54 in proportion? (a) No (b) Yes
12. 12.₹100 is shared between Meera and Ishaan in the ratio 1 : 9. How many rupees does Meera get?
13. 13.A basket has 36 mangoes and 20 apples. What is the ratio of mangoes to apples in its simplest form? (a) 10 : 6 (b) 36 : 20 (c) 9 : 5 (d) 5 : 9
14. 14.Are 42, 54, 28 and 38 in proportion? (a) No (b) Yes
15. 15.Write the ratio 8 : 64 in its simplest form. (a) 8 : 1 (b) 2 : 9 (c) 1 : 8 (d) 8 : 64
16. 16.A class has 56 boys and 64 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 8 (b) 56 : 64 (c) 8 : 9 (d) 8 : 7
17. 17.4 : 5 = 20 : ?
18. 18.Write the ratio 42 : 35 in its simplest form. (a) 6 : 5 (b) 42 : 35 (c) 5 : 6 (d) 7 : 6
19. 19.Write the ratio 24 : 4 in its simplest form. (a) 24 : 4 (b) 7 : 2 (c) 6 : 1 (d) 1 : 6
20. 20.A garden has 6 rose plants and 3 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 2 (b) 6 : 3 (c) 2 : 1 (d) 3 : 2
21. 21.₹300 is shared between Rohan and Aarav in the ratio 7 : 8. How many rupees does Rohan get?
22. 22.If 3 ice creams cost ₹18, how many rupees do 5 ice creams cost?
23. 23.A basket has 25 mangoes and 35 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 7 (b) 6 : 8 (c) 7 : 5 (d) 25 : 35
24. 24.₹1430 is shared between Aarav and Diya in the ratio 4 : 9. How many rupees does Aarav get?
25. 25.If 5 ice creams cost ₹115, how many rupees do 6 ice creams cost?
26. 26.A car goes 160 km in 4 hours. At the same speed, how many km does it go in 1 hour?
27. 27.A class has 9 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 2 (b) 4 : 3 (c) 2 : 3 (d) 9 : 6
28. 28.Are 5, 40, 3 and 27 in proportion? (a) Yes (b) No
29. 29.₹770 is shared between Manav and Ishaan in the ratio 2 : 9. How many rupees does Ishaan get?
30. 30.3 : 7 = ? : 63
31. 31.3 : 5 = ? : 45
32. 32.Are 6, 27, 14 and 66 in proportion? (a) No (b) Yes
33. 33.If 2 ice creams cost ₹80, how many rupees do 9 ice creams cost?
34. 34.A scooter goes 325 km in 5 hours. At the same speed, how many km does it go in 4 hours?
35. 35.Are 6, 10, 18 and 31 in proportion? (a) Yes (b) No
36. 36.Write the ratio 18 : 30 in its simplest form. (a) 18 : 30 (b) 5 : 3 (c) 4 : 6 (d) 3 : 5
37. 37.A car goes 240 km in 3 hours. At the same speed, how many km does it go in 6 hours?
38. 38.2 : 7 = ? : 14
39. 39.A car goes 130 km in 2 hours. At the same speed, how many km does it go in 6 hours?
40. 40.If 6 bus tickets cost ₹162, how many rupees do 4 bus tickets cost?

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