Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 77 · 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. 1.3 : 7 = ? : 28
2. 2.Write the ratio 4 : 10 in its simplest form. (a) 2 : 5 (b) 3 : 6 (c) 4 : 10 (d) 5 : 2
3. 3.Are 42, 54, 28 and 37 in proportion? (a) Yes (b) No
4. 4.Write the ratio 8 : 12 in its simplest form. (a) 2 : 3 (b) 8 : 12 (c) 3 : 2 (d) 3 : 4
5. 5.7 : 9 = 35 : ?
6. 6.Write the ratio 10 : 12 in its simplest form. (a) 6 : 7 (b) 6 : 5 (c) 5 : 6 (d) 10 : 12
7. 7.If 5 notebooks cost ₹175, how many rupees do 3 notebooks cost?
8. 8.A scooter goes 320 km in 4 hours. At the same speed, how many km does it go in 6 hours?
9. 9.If 6 bus tickets cost ₹312, how many rupees do 4 bus tickets cost?
10. 10.Write the ratio 15 : 9 in its simplest form. (a) 5 : 3 (b) 6 : 4 (c) 15 : 9 (d) 3 : 5
11. 11.₹280 is shared between Zoya and Meera in the ratio 2 : 5. How many rupees does Meera get?
12. 12.Are 15, 25, 24 and 42 in proportion? (a) Yes (b) No
13. 13.Write the ratio 28 : 24 in its simplest form. (a) 7 : 6 (b) 28 : 24 (c) 6 : 7 (d) 8 : 7
14. 14.Write the ratio 6 : 14 in its simplest form. (a) 7 : 3 (b) 6 : 14 (c) 4 : 8 (d) 3 : 7
15. 15.Write the ratio 81 : 9 in its simplest form. (a) 1 : 9 (b) 81 : 9 (c) 10 : 2 (d) 9 : 1
16. 16.If 6 mangoes cost ₹360, how many rupees do 11 mangoes cost?
17. 17.₹240 is shared between Arjun and Pooja in the ratio 5 : 7. How many rupees does Pooja get?
18. 18.If 5 pens cost ₹165, how many rupees do 4 pens cost?
19. 19.A library shelf has 30 storybooks and 18 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 5 (b) 30 : 18 (c) 5 : 3 (d) 6 : 4
20. 20.Are 5, 45, 3 and 28 in proportion? (a) Yes (b) No
21. 21.4 : 5 = ? : 25
22. 22.2 : 3 = 6 : ?
23. 23.A library shelf has 12 storybooks and 42 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 2 (b) 12 : 42 (c) 2 : 7 (d) 3 : 8
24. 24.A car goes 260 km in 4 hours. At the same speed, how many km does it go in 1 hour?
25. 25.₹1020 is shared between Zoya and Kabir in the ratio 1 : 5. How many rupees does Zoya get?
26. 26.₹450 is shared between Tara and Sneha in the ratio 2 : 7. How many rupees does Tara get?
27. 27.4 : 9 = 24 : ?
28. 28.A scooter goes 140 km in 2 hours. At the same speed, how many km does it go in 6 hours?
29. 29.₹160 is shared between Lakshmi and Rahul in the ratio 1 : 3. How many rupees does Lakshmi get?
30. 30.Are 10, 14, 30 and 42 in proportion? (a) Yes (b) No
31. 31.₹80 is shared between Pooja and Riya in the ratio 1 : 7. How many rupees does Pooja get?
32. 32.₹360 is shared between Manav and Sneha in the ratio 2 : 7. How many rupees does Sneha get?
33. 33.Write the ratio 40 : 15 in its simplest form. (a) 8 : 3 (b) 9 : 4 (c) 3 : 8 (d) 40 : 15
34. 34.If 6 mangoes cost ₹342, how many rupees do 3 mangoes cost?
35. 35.A class has 2 boys and 10 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 10 (b) 2 : 6 (c) 5 : 1 (d) 1 : 5
36. 36.3 : 8 = ? : 16
37. 37.Write the ratio 36 : 4 in its simplest form. (a) 9 : 1 (b) 36 : 4 (c) 1 : 9 (d) 10 : 2
38. 38.3 : 8 = 15 : ?
39. 39.If 4 notebooks cost ₹68, how many rupees do 2 notebooks cost?
40. 40.A team has 72 batters and 40 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 9 (b) 10 : 6 (c) 72 : 40 (d) 9 : 5

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