Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 409 · 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.Write the ratio 32 : 12 in its simplest form. (a) 32 : 12 (b) 3 : 8 (c) 9 : 4 (d) 8 : 3
2. 2.A class has 8 boys and 4 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 2 (b) 2 : 1 (c) 1 : 2 (d) 8 : 4
3. 3.Are 15, 25, 24 and 42 in proportion? (a) Yes (b) No
4. 4.If 2 ice creams cost ₹48, how many rupees do 9 ice creams cost?
5. 5.Write the ratio 14 : 2 in its simplest form. (a) 8 : 2 (b) 14 : 2 (c) 1 : 7 (d) 7 : 1
6. 6.Are 4, 10, 10 and 28 in proportion? (a) No (b) Yes
7. 7.Write the ratio 32 : 4 in its simplest form. (a) 32 : 4 (b) 9 : 2 (c) 8 : 1 (d) 1 : 8
8. 8.If 4 chocolates cost ₹68, how many rupees do 2 chocolates cost?
9. 9.1 : 4 = ? : 12
10. 10.Write the ratio 7 : 14 in its simplest form. (a) 7 : 14 (b) 2 : 1 (c) 2 : 3 (d) 1 : 2
11. 11.A box has 45 red pens and 40 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 10 : 9 (b) 8 : 9 (c) 45 : 40 (d) 9 : 8
12. 12.₹550 is shared between Priya and Arjun in the ratio 2 : 3. How many rupees does Arjun get?
13. 13.Are 5, 30, 3 and 21 in proportion? (a) No (b) Yes
14. 14.A library shelf has 45 storybooks and 27 science books. What is the ratio of storybooks to science books in its simplest form? (a) 45 : 27 (b) 3 : 5 (c) 6 : 4 (d) 5 : 3
15. 15.₹1430 is shared between Rohan and Saanvi in the ratio 5 : 6. How many rupees does Rohan get?
16. 16.A class has 56 boys and 63 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 9 (b) 9 : 8 (c) 9 : 10 (d) 56 : 63
17. 17.Are 16, 36, 28 and 65 in proportion? (a) Yes (b) No
18. 18.A bus goes 135 km in 3 hours. At the same speed, how many km does it go in 6 hours?
19. 19.A class has 35 boys and 56 girls. What is the ratio of boys to girls in its simplest form? (a) 35 : 56 (b) 6 : 9 (c) 5 : 8 (d) 8 : 5
20. 20.A class has 7 boys and 42 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 6 (b) 2 : 7 (c) 7 : 42 (d) 6 : 1
21. 21.1 : 6 = 3 : ?
22. 22.If 9 notebooks cost ₹405, how many rupees do 4 notebooks cost?
23. 23.If 2 notebooks cost ₹94, how many rupees do 6 notebooks cost?
24. 24.1 : 3 = 8 : ?
25. 25.A bus goes 320 km in 4 hours. At the same speed, how many km does it go in 2 hours?
26. 26.A basket has 49 mangoes and 21 apples. What is the ratio of mangoes to apples in its simplest form? (a) 49 : 21 (b) 3 : 7 (c) 8 : 4 (d) 7 : 3
27. 27.If 3 bus tickets cost ₹84, how many rupees do 9 bus tickets cost?
28. 28.3 : 7 = 9 : ?
29. 29.Are 9, 12, 27 and 36 in proportion? (a) Yes (b) No
30. 30.If 3 notebooks cost ₹51, how many rupees do 5 notebooks cost?
31. 31.Write the ratio 36 : 81 in its simplest form. (a) 9 : 4 (b) 4 : 9 (c) 36 : 81 (d) 5 : 10
32. 32.Are 5, 35, 4 and 28 in proportion? (a) No (b) Yes
33. 33.If 4 bus tickets cost ₹152, how many rupees do 9 bus tickets cost?
34. 34.2 : 5 = ? : 35
35. 35.₹450 is shared between Zoya and Arjun in the ratio 7 : 8. How many rupees does Zoya get?
36. 36.A car goes 140 km in 2 hours. At the same speed, how many km does it go in 7 hours?
37. 37.A train goes 195 km in 3 hours. At the same speed, how many km does it go in 4 hours?
38. 38.₹1760 is shared between Kabir and Ishaan in the ratio 4 : 7. How many rupees does Ishaan get?
39. 39.3 : 8 = ? : 72
40. 40.A class has 48 boys and 8 girls. What is the ratio of boys to girls in its simplest form? (a) 48 : 8 (b) 6 : 1 (c) 1 : 6 (d) 7 : 2

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