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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 73 · 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 team has 8 batters and 4 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 1 (b) 1 : 2 (c) 3 : 2 (d) 8 : 4
  2. 2.If 3 notebooks cost ₹75, how many rupees do 10 notebooks cost?
  3. 3.A team has 27 batters and 36 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 27 : 36 (b) 4 : 5 (c) 4 : 3 (d) 3 : 4
  4. 4.A class has 16 boys and 8 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 2 (b) 16 : 8 (c) 2 : 1 (d) 3 : 2
  5. 5.4 : 9 = ? : 81
  6. 6.₹3230 is shared between Tara and Manav in the ratio 8 : 9. How many rupees does Tara get?
  7. 7.A train goes 200 km in 5 hours. At the same speed, how many km does it go in 3 hours?
  8. 8.If 5 pens cost ₹105, how many rupees do 7 pens cost?
  9. 9.If 3 pens cost ₹144, how many rupees do 11 pens cost?
  10. 10.A team has 9 batters and 45 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 6 (b) 1 : 5 (c) 5 : 1 (d) 9 : 45
  11. 11.2 : 5 = ? : 40
  12. 12.1 : 7 = 3 : ?
  13. 13.If 7 chocolates cost ₹35, how many rupees do 11 chocolates cost?
  14. 14.A box has 32 red pens and 12 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 8 (b) 32 : 12 (c) 9 : 4 (d) 8 : 3
  15. 15.If 6 ice creams cost ₹300, how many rupees do 9 ice creams cost?
  16. 16.A team has 6 batters and 30 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 5 (b) 5 : 1 (c) 6 : 30 (d) 2 : 6
  17. 17.If 7 ice creams cost ₹350, how many rupees do 12 ice creams cost?
  18. 18.A basket has 8 mangoes and 56 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 56 (b) 2 : 8 (c) 1 : 7 (d) 7 : 1
  19. 19.Are 12, 16, 27 and 36 in proportion? (a) Yes (b) No
  20. 20.A class has 8 boys and 14 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 4 (b) 8 : 14 (c) 5 : 8 (d) 4 : 7
  21. 21.If 4 mangoes cost ₹20, how many rupees do 3 mangoes cost?
  22. 22.Are 8, 36, 10 and 48 in proportion? (a) Yes (b) No
  23. 23.₹1000 is shared between Joseph and Karan in the ratio 3 : 7. How many rupees does Joseph get?
  24. 24.₹2720 is shared between Isha and Rohan in the ratio 7 : 9. How many rupees does Isha get?
  25. 25.Are 15, 24, 30 and 48 in proportion? (a) Yes (b) No
  26. 26.Write the ratio 28 : 21 in its simplest form. (a) 28 : 21 (b) 4 : 3 (c) 3 : 4 (d) 5 : 4
  27. 27.Write the ratio 40 : 8 in its simplest form. (a) 6 : 2 (b) 1 : 5 (c) 40 : 8 (d) 5 : 1
  28. 28.A bus goes 360 km in 6 hours. At the same speed, how many km does it go in 3 hours?
  29. 29.A train goes 175 km in 5 hours. At the same speed, how many km does it go in 1 hour?
  30. 30.Write the ratio 20 : 45 in its simplest form. (a) 4 : 9 (b) 9 : 4 (c) 5 : 10 (d) 20 : 45
  31. 31.If 9 pens cost ₹324, how many rupees do 4 pens cost?
  32. 32.A garden has 12 rose plants and 14 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 8 (b) 12 : 14 (c) 6 : 7 (d) 7 : 6
  33. 33.Are 3, 27, 9 and 82 in proportion? (a) No (b) Yes
  34. 34.Write the ratio 14 : 16 in its simplest form. (a) 8 : 9 (b) 8 : 7 (c) 14 : 16 (d) 7 : 8
  35. 35.5 : 7 = 30 : ?
  36. 36.A bus goes 420 km in 6 hours. At the same speed, how many km does it go in 2 hours?
  37. 37.If 2 notebooks cost ₹52, how many rupees do 8 notebooks cost?
  38. 38.A library shelf has 12 storybooks and 3 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 1 (b) 5 : 2 (c) 12 : 3 (d) 1 : 4
  39. 39.Write the ratio 20 : 4 in its simplest form. (a) 6 : 2 (b) 20 : 4 (c) 5 : 1 (d) 1 : 5
  40. 40.7 : 8 = ? : 40

Answer key

  1. 2 : 1
  2. 250
  3. 3 : 4
  4. 2 : 1
  5. 36
  6. 1520
  7. 120
  8. 147
  9. 528
  10. 1 : 5
  11. 16
  12. 21
  13. 55
  14. 8 : 3
  15. 450
  16. 1 : 5
  17. 600
  18. 1 : 7
  19. Yes
  20. 4 : 7
  21. 15
  22. No
  23. 300
  24. 1190
  25. Yes
  26. 4 : 3
  27. 5 : 1
  28. 180
  29. 35
  30. 4 : 9
  31. 144
  32. 6 : 7
  33. No
  34. 7 : 8
  35. 42
  36. 140
  37. 208
  38. 4 : 1
  39. 5 : 1
  40. 35

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