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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 405 · 40 sums
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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.

NameDateTime takenScore ___ / 40
  1. 1.A box has 24 red pens and 3 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 2 (b) 24 : 3 (c) 8 : 1 (d) 1 : 8
  2. 2.1 : 7 = ? : 21
  3. 3.Are 2, 18, 6 and 54 in proportion? (a) No (b) Yes
  4. 4.3 : 5 = 21 : ?
  5. 5.1 : 5 = 2 : ?
  6. 6.A garden has 27 rose plants and 3 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 9 (b) 10 : 2 (c) 27 : 3 (d) 9 : 1
  7. 7.A garden has 12 rose plants and 2 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 2 (b) 12 : 2 (c) 6 : 1 (d) 1 : 6
  8. 8.A class has 4 boys and 14 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 14 (b) 3 : 8 (c) 7 : 2 (d) 2 : 7
  9. 9.Are 5, 35, 7 and 49 in proportion? (a) Yes (b) No
  10. 10.Write the ratio 28 : 24 in its simplest form. (a) 8 : 7 (b) 28 : 24 (c) 6 : 7 (d) 7 : 6
  11. 11.₹1520 is shared between Manav and Nisha in the ratio 1 : 7. How many rupees does Manav get?
  12. 12.5 : 8 = ? : 32
  13. 13.5 : 6 = 50 : ?
  14. 14.If 9 bus tickets cost ₹180, how many rupees do 3 bus tickets cost?
  15. 15.Write the ratio 6 : 15 in its simplest form. (a) 2 : 5 (b) 3 : 6 (c) 5 : 2 (d) 6 : 15
  16. 16.A garden has 12 rose plants and 18 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 4 (b) 2 : 3 (c) 3 : 2 (d) 12 : 18
  17. 17.If 3 bus tickets cost ₹111, how many rupees do 10 bus tickets cost?
  18. 18.Are 6, 21, 4 and 17 in proportion? (a) Yes (b) No
  19. 19.Write the ratio 24 : 4 in its simplest form. (a) 6 : 1 (b) 7 : 2 (c) 1 : 6 (d) 24 : 4
  20. 20.₹250 is shared between Diya and Manav in the ratio 1 : 4. How many rupees does Manav get?
  21. 21.If 9 notebooks cost ₹27, how many rupees do 3 notebooks cost?
  22. 22.If 2 mangoes cost ₹6, how many rupees do 9 mangoes cost?
  23. 23.1 : 7 = ? : 14
  24. 24.2 : 5 = ? : 15
  25. 25.If 2 chocolates cost ₹6, how many rupees do 10 chocolates cost?
  26. 26.Are 2, 6, 5 and 15 in proportion? (a) Yes (b) No
  27. 27.₹600 is shared between Tara and Saanvi in the ratio 1 : 9. How many rupees does Saanvi get?
  28. 28.1 : 9 = ? : 36
  29. 29.2 : 7 = ? : 42
  30. 30.Are 5, 20, 2 and 10 in proportion? (a) No (b) Yes
  31. 31.Write the ratio 12 : 16 in its simplest form. (a) 3 : 4 (b) 12 : 16 (c) 4 : 5 (d) 4 : 3
  32. 32.Are 16, 20, 32 and 41 in proportion? (a) Yes (b) No
  33. 33.If 3 bus tickets cost ₹81, how many rupees do 10 bus tickets cost?
  34. 34.2 : 9 = 14 : ?
  35. 35.A train goes 80 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  36. 36.1 : 9 = ? : 45
  37. 37.₹420 is shared between Rohan and Ananya in the ratio 1 : 2. How many rupees does Rohan get?
  38. 38.3 : 7 = ? : 42
  39. 39.Are 9, 24, 12 and 32 in proportion? (a) Yes (b) No
  40. 40.Are 15, 27, 40 and 72 in proportion? (a) Yes (b) No

Answer key

  1. 8 : 1
  2. 3
  3. Yes
  4. 35
  5. 10
  6. 9 : 1
  7. 6 : 1
  8. 2 : 7
  9. Yes
  10. 7 : 6
  11. 190
  12. 20
  13. 60
  14. 60
  15. 2 : 5
  16. 2 : 3
  17. 370
  18. No
  19. 6 : 1
  20. 200
  21. 9
  22. 27
  23. 2
  24. 6
  25. 30
  26. Yes
  27. 540
  28. 4
  29. 12
  30. No
  31. 3 : 4
  32. No
  33. 270
  34. 63
  35. 120
  36. 5
  37. 140
  38. 18
  39. Yes
  40. Yes

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