Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 329 · 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 : 9 = ? : 45
2. 2.Are 12, 42, 8 and 28 in proportion? (a) No (b) Yes
3. 3.If 3 pens cost ₹36, how many rupees do 11 pens cost?
4. 4.7 : 9 = ? : 54
5. 5.Write the ratio 45 : 63 in its simplest form. (a) 7 : 5 (b) 6 : 8 (c) 45 : 63 (d) 5 : 7
6. 6.4 : 9 = 12 : ?
7. 7.₹1920 is shared between Pooja and Farhan in the ratio 7 : 9. How many rupees does Farhan get?
8. 8.A class has 12 boys and 9 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 4 (b) 5 : 4 (c) 4 : 3 (d) 12 : 9
9. 9.If 2 bus tickets cost ₹40, how many rupees do 7 bus tickets cost?
10. 10.1 : 3 = 5 : ?
11. 11.1 : 8 = 5 : ?
12. 12.If 7 pens cost ₹259, how many rupees do 8 pens cost?
13. 13.A scooter goes 160 km in 2 hours. At the same speed, how many km does it go in 3 hours?
14. 14.If 7 ice creams cost ₹77, how many rupees do 5 ice creams cost?
15. 15.Write the ratio 27 : 3 in its simplest form. (a) 1 : 9 (b) 27 : 3 (c) 9 : 1 (d) 10 : 2
16. 16.A library shelf has 8 storybooks and 10 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 5 (b) 8 : 10 (c) 5 : 4 (d) 5 : 6
17. 17.If 4 notebooks cost ₹172, how many rupees do 2 notebooks cost?
18. 18.If 9 chocolates cost ₹432, how many rupees do 6 chocolates cost?
19. 19.A team has 63 batters and 9 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 7 (b) 63 : 9 (c) 7 : 1 (d) 8 : 2
20. 20.A team has 20 batters and 8 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 5 (b) 5 : 2 (c) 20 : 8 (d) 6 : 3
21. 21.A library shelf has 4 storybooks and 10 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 10 (b) 2 : 5 (c) 3 : 6 (d) 5 : 2
22. 22.A bus goes 240 km in 4 hours. At the same speed, how many km does it go in 6 hours?
23. 23.Write the ratio 18 : 45 in its simplest form. (a) 18 : 45 (b) 5 : 2 (c) 2 : 5 (d) 3 : 6
24. 24.Are 6, 14, 27 and 63 in proportion? (a) No (b) Yes
25. 25.Are 4, 28, 8 and 57 in proportion? (a) Yes (b) No
26. 26.Write the ratio 8 : 72 in its simplest form. (a) 2 : 10 (b) 9 : 1 (c) 8 : 72 (d) 1 : 9
27. 27.A basket has 10 mangoes and 2 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 1 (b) 10 : 2 (c) 1 : 5 (d) 6 : 2
28. 28.A team has 12 batters and 15 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 4 (b) 12 : 15 (c) 5 : 6 (d) 4 : 5
29. 29.A scooter goes 350 km in 5 hours. At the same speed, how many km does it go in 2 hours?
30. 30.Write the ratio 25 : 15 in its simplest form. (a) 25 : 15 (b) 3 : 5 (c) 6 : 4 (d) 5 : 3
31. 31.Are 4, 8, 3 and 6 in proportion? (a) No (b) Yes
32. 32.If 5 notebooks cost ₹35, how many rupees do 4 notebooks cost?
33. 33.A scooter goes 225 km in 3 hours. At the same speed, how many km does it go in 1 hour?
34. 34.Are 3, 12, 4 and 18 in proportion? (a) Yes (b) No
35. 35.If 2 mangoes cost ₹68, how many rupees do 5 mangoes cost?
36. 36.A garden has 25 rose plants and 10 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 2 (b) 25 : 10 (c) 6 : 3 (d) 2 : 5
37. 37.Are 4, 8, 3 and 7 in proportion? (a) Yes (b) No
38. 38.Write the ratio 10 : 35 in its simplest form. (a) 3 : 8 (b) 2 : 7 (c) 7 : 2 (d) 10 : 35
39. 39.₹160 is shared between Vivaan and Nisha in the ratio 1 : 3. How many rupees does Nisha get?
40. 40.Write the ratio 16 : 4 in its simplest form. (a) 1 : 4 (b) 5 : 2 (c) 4 : 1 (d) 16 : 4

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