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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 383 · 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 9 : 54 in its simplest form. (a) 6 : 1 (b) 1 : 6 (c) 2 : 7 (d) 9 : 54
  2. 2.If 7 pens cost ₹140, how many rupees do 2 pens cost?
  3. 3.A train goes 120 km in 4 hours. At the same speed, how many km does it go in 3 hours?
  4. 4.If 2 ice creams cost ₹74, how many rupees do 8 ice creams cost?
  5. 5.Are 24, 30, 12 and 18 in proportion? (a) Yes (b) No
  6. 6.A garden has 4 rose plants and 14 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 8 (b) 4 : 14 (c) 2 : 7 (d) 7 : 2
  7. 7.2 : 9 = ? : 72
  8. 8.A class has 63 boys and 9 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 2 (b) 63 : 9 (c) 7 : 1 (d) 1 : 7
  9. 9.If 8 notebooks cost ₹184, how many rupees do 10 notebooks cost?
  10. 10.A car goes 90 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  11. 11.A bus goes 375 km in 5 hours. At the same speed, how many km does it go in 6 hours?
  12. 12.1 : 3 = ? : 27
  13. 13.3 : 8 = 6 : ?
  14. 14.1 : 2 = 3 : ?
  15. 15.1 : 9 = ? : 54
  16. 16.If 4 notebooks cost ₹208, how many rupees do 11 notebooks cost?
  17. 17.A garden has 2 rose plants and 16 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 16 (b) 1 : 8 (c) 2 : 9 (d) 8 : 1
  18. 18.Write the ratio 16 : 4 in its simplest form. (a) 1 : 4 (b) 5 : 2 (c) 4 : 1 (d) 16 : 4
  19. 19.If 7 chocolates cost ₹217, how many rupees do 3 chocolates cost?
  20. 20.₹1430 is shared between Ananya and Saanvi in the ratio 4 : 7. How many rupees does Ananya get?
  21. 21.A box has 45 red pens and 35 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 45 : 35 (b) 10 : 8 (c) 7 : 9 (d) 9 : 7
  22. 22.A team has 18 batters and 81 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 18 : 81 (b) 3 : 10 (c) 9 : 2 (d) 2 : 9
  23. 23.A bus goes 105 km in 3 hours. At the same speed, how many km does it go in 2 hours?
  24. 24.₹990 is shared between Lakshmi and Pooja in the ratio 3 : 8. How many rupees does Lakshmi get?
  25. 25.A scooter goes 320 km in 4 hours. At the same speed, how many km does it go in 7 hours?
  26. 26.A class has 16 boys and 2 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 8 (b) 9 : 2 (c) 8 : 1 (d) 16 : 2
  27. 27.₹120 is shared between Isha and Pooja in the ratio 5 : 7. How many rupees does Pooja get?
  28. 28.A class has 7 boys and 42 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 42 (b) 6 : 1 (c) 2 : 7 (d) 1 : 6
  29. 29.A car goes 90 km in 3 hours. At the same speed, how many km does it go in 1 hour?
  30. 30.Write the ratio 40 : 45 in its simplest form. (a) 40 : 45 (b) 9 : 10 (c) 8 : 9 (d) 9 : 8
  31. 31.3 : 4 = ? : 28
  32. 32.A box has 35 red pens and 15 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 7 (b) 35 : 15 (c) 8 : 4 (d) 7 : 3
  33. 33.A car goes 140 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  34. 34.₹450 is shared between Dev and Sneha in the ratio 2 : 7. How many rupees does Dev get?
  35. 35.Are 5, 25, 6 and 30 in proportion? (a) No (b) Yes
  36. 36.1 : 4 = ? : 32
  37. 37.A class has 25 boys and 45 girls. What is the ratio of boys to girls in its simplest form? (a) 25 : 45 (b) 9 : 5 (c) 6 : 10 (d) 5 : 9
  38. 38.If 8 ice creams cost ₹144, how many rupees do 6 ice creams cost?
  39. 39.A train goes 140 km in 4 hours. At the same speed, how many km does it go in 1 hour?
  40. 40.Write the ratio 20 : 28 in its simplest form. (a) 7 : 5 (b) 5 : 7 (c) 20 : 28 (d) 6 : 8

Answer key

  1. 1 : 6
  2. 40
  3. 90
  4. 296
  5. No
  6. 2 : 7
  7. 16
  8. 7 : 1
  9. 230
  10. 315
  11. 450
  12. 9
  13. 16
  14. 6
  15. 6
  16. 572
  17. 1 : 8
  18. 4 : 1
  19. 93
  20. 520
  21. 9 : 7
  22. 2 : 9
  23. 70
  24. 270
  25. 560
  26. 8 : 1
  27. 70
  28. 1 : 6
  29. 30
  30. 8 : 9
  31. 21
  32. 7 : 3
  33. 210
  34. 100
  35. Yes
  36. 8
  37. 5 : 9
  38. 108
  39. 35
  40. 5 : 7

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