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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 271 · 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.

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  1. 1.Are 6, 30, 8 and 40 in proportion? (a) Yes (b) No
  2. 2.If 2 pens cost ₹114, how many rupees do 7 pens cost?
  3. 3.₹600 is shared between Aditya and Tara in the ratio 1 : 3. How many rupees does Tara get?
  4. 4.Write the ratio 63 : 81 in its simplest form. (a) 7 : 9 (b) 63 : 81 (c) 8 : 10 (d) 9 : 7
  5. 5.1 : 4 = 10 : ?
  6. 6.A garden has 21 rose plants and 6 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 21 : 6 (b) 7 : 2 (c) 2 : 7 (d) 8 : 3
  7. 7.A box has 6 red pens and 8 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 3 (b) 4 : 5 (c) 3 : 4 (d) 6 : 8
  8. 8.Are 5, 45, 7 and 65 in proportion? (a) Yes (b) No
  9. 9.Write the ratio 9 : 15 in its simplest form. (a) 4 : 6 (b) 9 : 15 (c) 3 : 5 (d) 5 : 3
  10. 10.Are 24, 28, 36 and 42 in proportion? (a) No (b) Yes
  11. 11.₹1050 is shared between Isha and Ishaan in the ratio 1 : 6. How many rupees does Isha get?
  12. 12.A scooter goes 180 km in 4 hours. At the same speed, how many km does it go in 2 hours?
  13. 13.If 7 chocolates cost ₹105, how many rupees do 5 chocolates cost?
  14. 14.Write the ratio 24 : 9 in its simplest form. (a) 8 : 3 (b) 24 : 9 (c) 9 : 4 (d) 3 : 8
  15. 15.Write the ratio 7 : 35 in its simplest form. (a) 1 : 5 (b) 5 : 1 (c) 2 : 6 (d) 7 : 35
  16. 16.₹560 is shared between Aditya and Manav in the ratio 1 : 6. How many rupees does Aditya get?
  17. 17.Are 6, 14, 18 and 43 in proportion? (a) Yes (b) No
  18. 18.A class has 9 boys and 15 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 15 (b) 3 : 5 (c) 4 : 6 (d) 5 : 3
  19. 19.Write the ratio 21 : 9 in its simplest form. (a) 8 : 4 (b) 3 : 7 (c) 21 : 9 (d) 7 : 3
  20. 20.Write the ratio 2 : 14 in its simplest form. (a) 7 : 1 (b) 1 : 7 (c) 2 : 14 (d) 2 : 8
  21. 21.Are 6, 27, 12 and 55 in proportion? (a) Yes (b) No
  22. 22.If 7 pens cost ₹203, how many rupees do 11 pens cost?
  23. 23.A library shelf has 24 storybooks and 56 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 8 (b) 7 : 3 (c) 3 : 7 (d) 24 : 56
  24. 24.Write the ratio 45 : 20 in its simplest form. (a) 4 : 9 (b) 45 : 20 (c) 10 : 5 (d) 9 : 4
  25. 25.A car goes 180 km in 4 hours. At the same speed, how many km does it go in 3 hours?
  26. 26.If 6 ice creams cost ₹162, how many rupees do 2 ice creams cost?
  27. 27.Write the ratio 36 : 45 in its simplest form. (a) 36 : 45 (b) 5 : 4 (c) 5 : 6 (d) 4 : 5
  28. 28.Are 5, 10, 8 and 16 in proportion? (a) No (b) Yes
  29. 29.₹260 is shared between Isha and Meera in the ratio 6 : 7. How many rupees does Isha get?
  30. 30.A garden has 24 rose plants and 9 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 4 (b) 3 : 8 (c) 8 : 3 (d) 24 : 9
  31. 31.6 : 7 = ? : 35
  32. 32.If 7 pens cost ₹364, how many rupees do 11 pens cost?
  33. 33.2 : 5 = ? : 25
  34. 34.4 : 5 = ? : 15
  35. 35.Write the ratio 2 : 18 in its simplest form. (a) 9 : 1 (b) 2 : 18 (c) 1 : 9 (d) 2 : 10
  36. 36.A bus goes 160 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  37. 37.₹600 is shared between Priya and Kabir in the ratio 3 : 7. How many rupees does Kabir get?
  38. 38.A library shelf has 63 storybooks and 9 science books. What is the ratio of storybooks to science books in its simplest form? (a) 63 : 9 (b) 1 : 7 (c) 7 : 1 (d) 8 : 2
  39. 39.Write the ratio 45 : 54 in its simplest form. (a) 45 : 54 (b) 6 : 5 (c) 5 : 6 (d) 6 : 7
  40. 40.A box has 18 red pens and 63 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 7 (b) 7 : 2 (c) 3 : 8 (d) 18 : 63

Answer key

  1. Yes
  2. 399
  3. 450
  4. 7 : 9
  5. 40
  6. 7 : 2
  7. 3 : 4
  8. No
  9. 3 : 5
  10. Yes
  11. 150
  12. 90
  13. 75
  14. 8 : 3
  15. 1 : 5
  16. 80
  17. No
  18. 3 : 5
  19. 7 : 3
  20. 1 : 7
  21. No
  22. 319
  23. 3 : 7
  24. 9 : 4
  25. 135
  26. 54
  27. 4 : 5
  28. Yes
  29. 120
  30. 8 : 3
  31. 30
  32. 572
  33. 10
  34. 12
  35. 1 : 9
  36. 240
  37. 420
  38. 7 : 1
  39. 5 : 6
  40. 2 : 7

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