Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 58 · 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 48 : 18 in its simplest form. (a) 9 : 4 (b) 3 : 8 (c) 8 : 3 (d) 48 : 18
2. 2.7 : 9 = ? : 18
3. 3.Are 10, 18, 15 and 30 in proportion? (a) No (b) Yes
4. 4.A car goes 275 km in 5 hours. At the same speed, how many km does it go in 2 hours?
5. 5.₹540 is shared between Arjun and Zoya in the ratio 2 : 7. How many rupees does Zoya get?
6. 6.A basket has 24 mangoes and 16 apples. What is the ratio of mangoes to apples in its simplest form? (a) 24 : 16 (b) 3 : 2 (c) 2 : 3 (d) 4 : 3
7. 7.If 7 pens cost ₹21, how many rupees do 6 pens cost?
8. 8.A basket has 49 mangoes and 42 apples. What is the ratio of mangoes to apples in its simplest form? (a) 49 : 42 (b) 8 : 7 (c) 7 : 6 (d) 6 : 7
9. 9.5 : 9 = 20 : ?
10. 10.2 : 5 = ? : 45
11. 11.Write the ratio 64 : 8 in its simplest form. (a) 1 : 8 (b) 64 : 8 (c) 9 : 2 (d) 8 : 1
12. 12.If 5 ice creams cost ₹295, how many rupees do 2 ice creams cost?
13. 13.A library shelf has 28 storybooks and 49 science books. What is the ratio of storybooks to science books in its simplest form? (a) 28 : 49 (b) 4 : 7 (c) 7 : 4 (d) 5 : 8
14. 14.Are 30, 36, 20 and 25 in proportion? (a) Yes (b) No
15. 15.Write the ratio 20 : 32 in its simplest form. (a) 6 : 9 (b) 20 : 32 (c) 5 : 8 (d) 8 : 5
16. 16.Write the ratio 8 : 56 in its simplest form. (a) 8 : 56 (b) 2 : 8 (c) 7 : 1 (d) 1 : 7
17. 17.A box has 48 red pens and 40 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 6 (b) 7 : 6 (c) 48 : 40 (d) 6 : 5
18. 18.A class has 24 boys and 30 girls. What is the ratio of boys to girls in its simplest form? (a) 24 : 30 (b) 5 : 6 (c) 4 : 5 (d) 5 : 4
19. 19.1 : 8 = 3 : ?
20. 20.₹240 is shared between Zoya and Ishaan in the ratio 1 : 2. How many rupees does Ishaan get?
21. 21.1 : 3 = ? : 27
22. 22.Write the ratio 49 : 56 in its simplest form. (a) 7 : 8 (b) 8 : 9 (c) 49 : 56 (d) 8 : 7
23. 23.Write the ratio 15 : 9 in its simplest form. (a) 5 : 3 (b) 6 : 4 (c) 3 : 5 (d) 15 : 9
24. 24.A class has 35 boys and 45 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 9 (b) 35 : 45 (c) 9 : 7 (d) 8 : 10
25. 25.3 : 5 = ? : 35
26. 26.Are 2, 8, 9 and 38 in proportion? (a) No (b) Yes
27. 27.Write the ratio 35 : 42 in its simplest form. (a) 5 : 6 (b) 35 : 42 (c) 6 : 5 (d) 6 : 7
28. 28.A class has 42 boys and 30 girls. What is the ratio of boys to girls in its simplest form? (a) 42 : 30 (b) 5 : 7 (c) 8 : 6 (d) 7 : 5
29. 29.5 : 8 = 15 : ?
30. 30.₹770 is shared between Joseph and Kabir in the ratio 2 : 9. How many rupees does Kabir get?
31. 31.₹520 is shared between Rohan and Ananya in the ratio 6 : 7. How many rupees does Ananya get?
32. 32.If 3 chocolates cost ₹30, how many rupees do 6 chocolates cost?
33. 33.If 2 mangoes cost ₹52, how many rupees do 6 mangoes cost?
34. 34.₹1400 is shared between Joseph and Manav in the ratio 5 : 9. How many rupees does Joseph get?
35. 35.Are 20, 45, 16 and 36 in proportion? (a) Yes (b) No
36. 36.7 : 9 = 28 : ?
37. 37.If 7 mangoes cost ₹147, how many rupees do 2 mangoes cost?
38. 38.₹90 is shared between Manav and Dev in the ratio 1 : 8. How many rupees does Dev get?
39. 39.1 : 5 = 10 : ?
40. 40.A car goes 210 km in 3 hours. At the same speed, how many km does it go in 2 hours?

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