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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 399 · 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.Write the ratio 12 : 3 in its simplest form. (a) 1 : 4 (b) 4 : 1 (c) 12 : 3 (d) 5 : 2
  2. 2.A garden has 42 rose plants and 30 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 6 (b) 7 : 5 (c) 42 : 30 (d) 5 : 7
  3. 3.A class has 40 boys and 64 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 9 (b) 5 : 8 (c) 40 : 64 (d) 8 : 5
  4. 4.If 9 ice creams cost ₹279, how many rupees do 7 ice creams cost?
  5. 5.Write the ratio 15 : 6 in its simplest form. (a) 15 : 6 (b) 6 : 3 (c) 2 : 5 (d) 5 : 2
  6. 6.If 3 mangoes cost ₹21, how many rupees do 5 mangoes cost?
  7. 7.Are 3, 15, 7 and 37 in proportion? (a) Yes (b) No
  8. 8.A scooter goes 160 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  9. 9.Write the ratio 35 : 63 in its simplest form. (a) 35 : 63 (b) 6 : 10 (c) 5 : 9 (d) 9 : 5
  10. 10.4 : 7 = 16 : ?
  11. 11.Are 6, 16, 27 and 72 in proportion? (a) No (b) Yes
  12. 12.A scooter goes 225 km in 5 hours. At the same speed, how many km does it go in 1 hour?
  13. 13.Write the ratio 4 : 2 in its simplest form. (a) 2 : 1 (b) 4 : 2 (c) 3 : 2 (d) 1 : 2
  14. 14.A car goes 260 km in 4 hours. At the same speed, how many km does it go in 8 hours?
  15. 15.Write the ratio 36 : 45 in its simplest form. (a) 4 : 5 (b) 5 : 6 (c) 5 : 4 (d) 36 : 45
  16. 16.Write the ratio 72 : 9 in its simplest form. (a) 1 : 8 (b) 8 : 1 (c) 9 : 2 (d) 72 : 9
  17. 17.1 : 6 = ? : 18
  18. 18.A class has 14 boys and 35 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 6 (b) 14 : 35 (c) 5 : 2 (d) 2 : 5
  19. 19.If 8 notebooks cost ₹312, how many rupees do 3 notebooks cost?
  20. 20.₹400 is shared between Priya and Manav in the ratio 2 : 3. How many rupees does Priya get?
  21. 21.Are 4, 18, 14 and 63 in proportion? (a) Yes (b) No
  22. 22.A train goes 130 km in 2 hours. At the same speed, how many km does it go in 8 hours?
  23. 23.If 8 chocolates cost ₹328, how many rupees do 4 chocolates cost?
  24. 24.1 : 7 = ? : 35
  25. 25.A library shelf has 32 storybooks and 8 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 2 (b) 4 : 1 (c) 1 : 4 (d) 32 : 8
  26. 26.1 : 4 = ? : 12
  27. 27.A scooter goes 80 km in 2 hours. At the same speed, how many km does it go in 5 hours?
  28. 28.A car goes 180 km in 6 hours. At the same speed, how many km does it go in 2 hours?
  29. 29.A basket has 27 mangoes and 15 apples. What is the ratio of mangoes to apples in its simplest form? (a) 27 : 15 (b) 10 : 6 (c) 5 : 9 (d) 9 : 5
  30. 30.Write the ratio 12 : 21 in its simplest form. (a) 4 : 7 (b) 5 : 8 (c) 7 : 4 (d) 12 : 21
  31. 31.Are 24, 27, 16 and 21 in proportion? (a) Yes (b) No
  32. 32.₹1360 is shared between Ananya and Kabir in the ratio 3 : 5. How many rupees does Kabir get?
  33. 33.A garden has 27 rose plants and 36 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 4 (b) 4 : 3 (c) 27 : 36 (d) 4 : 5
  34. 34.A box has 6 red pens and 42 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 7 : 1 (b) 1 : 7 (c) 6 : 42 (d) 2 : 8
  35. 35.1 : 8 = 10 : ?
  36. 36.₹900 is shared between Farhan and Zoya in the ratio 2 : 7. How many rupees does Zoya get?
  37. 37.A library shelf has 12 storybooks and 16 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 5 (b) 4 : 3 (c) 12 : 16 (d) 3 : 4
  38. 38.5 : 8 = 25 : ?
  39. 39.A scooter goes 400 km in 5 hours. At the same speed, how many km does it go in 6 hours?
  40. 40.Write the ratio 27 : 18 in its simplest form. (a) 4 : 3 (b) 27 : 18 (c) 2 : 3 (d) 3 : 2

Answer key

  1. 4 : 1
  2. 7 : 5
  3. 5 : 8
  4. 217
  5. 5 : 2
  6. 35
  7. No
  8. 240
  9. 5 : 9
  10. 28
  11. Yes
  12. 45
  13. 2 : 1
  14. 520
  15. 4 : 5
  16. 8 : 1
  17. 3
  18. 2 : 5
  19. 117
  20. 160
  21. Yes
  22. 520
  23. 164
  24. 5
  25. 4 : 1
  26. 3
  27. 200
  28. 60
  29. 9 : 5
  30. 4 : 7
  31. No
  32. 850
  33. 3 : 4
  34. 1 : 7
  35. 80
  36. 700
  37. 3 : 4
  38. 40
  39. 480
  40. 3 : 2

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