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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 359 · 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 bus goes 300 km in 5 hours. At the same speed, how many km does it go in 1 hour?
  2. 2.A bus goes 360 km in 6 hours. At the same speed, how many km does it go in 3 hours?
  3. 3.5 : 7 = ? : 63
  4. 4.A car goes 105 km in 3 hours. At the same speed, how many km does it go in 6 hours?
  5. 5.7 : 9 = ? : 81
  6. 6.A train goes 140 km in 4 hours. At the same speed, how many km does it go in 1 hour?
  7. 7.A scooter goes 150 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  8. 8.A box has 63 red pens and 81 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 7 : 9 (b) 9 : 7 (c) 63 : 81 (d) 8 : 10
  9. 9.A scooter goes 240 km in 3 hours. At the same speed, how many km does it go in 1 hour?
  10. 10.Are 6, 14, 9 and 22 in proportion? (a) No (b) Yes
  11. 11.A team has 72 batters and 45 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 72 : 45 (b) 8 : 5 (c) 5 : 8 (d) 9 : 6
  12. 12.A team has 18 batters and 8 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 4 (b) 10 : 5 (c) 4 : 9 (d) 18 : 8
  13. 13.A class has 18 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 3 (b) 4 : 2 (c) 3 : 1 (d) 18 : 6
  14. 14.If 8 mangoes cost ₹472, how many rupees do 11 mangoes cost?
  15. 15.A scooter goes 320 km in 4 hours. At the same speed, how many km does it go in 5 hours?
  16. 16.A class has 9 boys and 72 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 1 (b) 2 : 9 (c) 1 : 8 (d) 9 : 72
  17. 17.If 5 chocolates cost ₹30, how many rupees do 8 chocolates cost?
  18. 18.A team has 12 batters and 21 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 8 (b) 12 : 21 (c) 4 : 7 (d) 7 : 4
  19. 19.A bus goes 250 km in 5 hours. At the same speed, how many km does it go in 3 hours?
  20. 20.Are 32, 36, 48 and 54 in proportion? (a) No (b) Yes
  21. 21.A class has 2 boys and 4 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 1 (b) 2 : 4 (c) 2 : 3 (d) 1 : 2
  22. 22.A class has 32 boys and 36 girls. What is the ratio of boys to girls in its simplest form? (a) 32 : 36 (b) 8 : 9 (c) 9 : 8 (d) 9 : 10
  23. 23.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) 6 : 1 (b) 12 : 2 (c) 1 : 6 (d) 7 : 2
  24. 24.Write the ratio 7 : 28 in its simplest form. (a) 7 : 28 (b) 2 : 5 (c) 4 : 1 (d) 1 : 4
  25. 25.If 6 notebooks cost ₹252, how many rupees do 5 notebooks cost?
  26. 26.A team has 32 batters and 28 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 8 (b) 32 : 28 (c) 8 : 7 (d) 7 : 8
  27. 27.Write the ratio 28 : 8 in its simplest form. (a) 28 : 8 (b) 8 : 3 (c) 2 : 7 (d) 7 : 2
  28. 28.A scooter goes 450 km in 6 hours. At the same speed, how many km does it go in 5 hours?
  29. 29.₹160 is shared between Priya and Joseph in the ratio 3 : 5. How many rupees does Joseph get?
  30. 30.If 2 ice creams cost ₹118, how many rupees do 8 ice creams cost?
  31. 31.1 : 9 = 8 : ?
  32. 32.₹550 is shared between Vivaan and Diya in the ratio 5 : 6. How many rupees does Diya get?
  33. 33.If 9 mangoes cost ₹369, how many rupees do 7 mangoes cost?
  34. 34.A basket has 24 mangoes and 8 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 2 (b) 3 : 1 (c) 24 : 8 (d) 1 : 3
  35. 35.Are 18, 21, 36 and 42 in proportion? (a) No (b) Yes
  36. 36.8 : 9 = 16 : ?
  37. 37.Write the ratio 32 : 24 in its simplest form. (a) 5 : 4 (b) 3 : 4 (c) 32 : 24 (d) 4 : 3
  38. 38.A train goes 180 km in 3 hours. At the same speed, how many km does it go in 7 hours?
  39. 39.Are 12, 30, 14 and 38 in proportion? (a) No (b) Yes
  40. 40.Write the ratio 72 : 16 in its simplest form. (a) 10 : 3 (b) 9 : 2 (c) 2 : 9 (d) 72 : 16

Answer key

  1. 60
  2. 180
  3. 45
  4. 210
  5. 63
  6. 35
  7. 225
  8. 7 : 9
  9. 80
  10. No
  11. 8 : 5
  12. 9 : 4
  13. 3 : 1
  14. 649
  15. 400
  16. 1 : 8
  17. 48
  18. 4 : 7
  19. 150
  20. Yes
  21. 1 : 2
  22. 8 : 9
  23. 6 : 1
  24. 1 : 4
  25. 210
  26. 8 : 7
  27. 7 : 2
  28. 375
  29. 100
  30. 472
  31. 72
  32. 300
  33. 287
  34. 3 : 1
  35. Yes
  36. 18
  37. 4 : 3
  38. 420
  39. No
  40. 9 : 2

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