Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 67 · 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.Are 3, 18, 9 and 55 in proportion? (a) No (b) Yes
2. 2.Write the ratio 8 : 6 in its simplest form. (a) 5 : 4 (b) 3 : 4 (c) 8 : 6 (d) 4 : 3
3. 3.Are 3, 6, 4 and 11 in proportion? (a) Yes (b) No
4. 4.Write the ratio 48 : 30 in its simplest form. (a) 9 : 6 (b) 8 : 5 (c) 5 : 8 (d) 48 : 30
5. 5.A train goes 160 km in 4 hours. At the same speed, how many km does it go in 5 hours?
6. 6.₹280 is shared between Joseph and Dev in the ratio 3 : 4. How many rupees does Dev get?
7. 7.If 3 notebooks cost ₹150, how many rupees do 12 notebooks cost?
8. 8.Are 2, 18, 3 and 27 in proportion? (a) Yes (b) No
9. 9.₹780 is shared between Saanvi and Kabir in the ratio 5 : 8. How many rupees does Kabir get?
10. 10.₹600 is shared between Farhan and Rahul in the ratio 1 : 9. How many rupees does Rahul get?
11. 11.A scooter goes 120 km in 2 hours. At the same speed, how many km does it go in 6 hours?
12. 12.A class has 42 boys and 24 girls. What is the ratio of boys to girls in its simplest form? (a) 42 : 24 (b) 7 : 4 (c) 4 : 7 (d) 8 : 5
13. 13.Are 15, 21, 20 and 28 in proportion? (a) No (b) Yes
14. 14.A basket has 15 mangoes and 3 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 2 (b) 1 : 5 (c) 15 : 3 (d) 5 : 1
15. 15.A library shelf has 45 storybooks and 36 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 5 (b) 5 : 4 (c) 6 : 5 (d) 45 : 36
16. 16.If 3 ice creams cost ₹60, how many rupees do 6 ice creams cost?
17. 17.A library shelf has 10 storybooks and 6 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 5 (b) 10 : 6 (c) 6 : 4 (d) 5 : 3
18. 18.If 2 notebooks cost ₹88, how many rupees do 10 notebooks cost?
19. 19.If 2 chocolates cost ₹120, how many rupees do 10 chocolates cost?
20. 20.₹320 is shared between Isha and Sneha in the ratio 3 : 5. How many rupees does Sneha get?
21. 21.₹720 is shared between Dev and Farhan in the ratio 5 : 7. How many rupees does Dev get?
22. 22.₹990 is shared between Kabir and Zoya in the ratio 1 : 8. How many rupees does Kabir get?
23. 23.Are 12, 30, 18 and 45 in proportion? (a) No (b) Yes
24. 24.₹1530 is shared between Rahul and Lakshmi in the ratio 2 : 7. How many rupees does Rahul get?
25. 25.A library shelf has 20 storybooks and 36 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 10 (b) 9 : 5 (c) 5 : 9 (d) 20 : 36
26. 26.Are 2, 6, 4 and 12 in proportion? (a) No (b) Yes
27. 27.5 : 6 = ? : 54
28. 28.2 : 5 = 18 : ?
29. 29.Are 4, 28, 9 and 64 in proportion? (a) No (b) Yes
30. 30.A scooter goes 150 km in 2 hours. At the same speed, how many km does it go in 3 hours?
31. 31.5 : 7 = ? : 28
32. 32.Write the ratio 64 : 72 in its simplest form. (a) 9 : 10 (b) 8 : 9 (c) 64 : 72 (d) 9 : 8
33. 33.₹2040 is shared between Lakshmi and Saanvi in the ratio 5 : 7. How many rupees does Lakshmi get?
34. 34.Are 12, 54, 14 and 64 in proportion? (a) Yes (b) No
35. 35.A car goes 180 km in 6 hours. At the same speed, how many km does it go in 2 hours?
36. 36.A train goes 300 km in 5 hours. At the same speed, how many km does it go in 4 hours?
37. 37.Write the ratio 10 : 45 in its simplest form. (a) 3 : 10 (b) 9 : 2 (c) 2 : 9 (d) 10 : 45
38. 38.A car goes 140 km in 4 hours. At the same speed, how many km does it go in 2 hours?
39. 39.1 : 2 = ? : 6
40. 40.₹1690 is shared between Kabir and Farhan in the ratio 4 : 9. How many rupees does Farhan get?

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