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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 379 · 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. 1.8 : 9 = ? : 45
  2. 2.5 : 6 = ? : 54
  3. 3.3 : 4 = ? : 8
  4. 4.₹1430 is shared between Isha and Nisha in the ratio 5 : 8. How many rupees does Nisha get?
  5. 5.A bus goes 140 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  6. 6.₹1800 is shared between Farhan and Nisha in the ratio 4 : 5. How many rupees does Nisha get?
  7. 7.Write the ratio 27 : 3 in its simplest form. (a) 1 : 9 (b) 27 : 3 (c) 9 : 1 (d) 10 : 2
  8. 8.Write the ratio 6 : 42 in its simplest form. (a) 7 : 1 (b) 2 : 8 (c) 6 : 42 (d) 1 : 7
  9. 9.A car goes 400 km in 5 hours. At the same speed, how many km does it go in 7 hours?
  10. 10.Are 2, 18, 9 and 83 in proportion? (a) No (b) Yes
  11. 11.Write the ratio 6 : 30 in its simplest form. (a) 6 : 30 (b) 1 : 5 (c) 5 : 1 (d) 2 : 6
  12. 12.2 : 5 = 10 : ?
  13. 13.1 : 5 = ? : 15
  14. 14.A box has 35 red pens and 14 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 2 (b) 2 : 5 (c) 35 : 14 (d) 6 : 3
  15. 15.Write the ratio 63 : 49 in its simplest form. (a) 9 : 7 (b) 10 : 8 (c) 63 : 49 (d) 7 : 9
  16. 16.A team has 12 batters and 4 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 1 (b) 12 : 4 (c) 4 : 2 (d) 1 : 3
  17. 17.Write the ratio 8 : 72 in its simplest form. (a) 8 : 72 (b) 1 : 9 (c) 2 : 10 (d) 9 : 1
  18. 18.₹240 is shared between Ananya and Joseph in the ratio 1 : 5. How many rupees does Ananya get?
  19. 19.If 2 pens cost ₹48, how many rupees do 9 pens cost?
  20. 20.If 7 mangoes cost ₹280, how many rupees do 12 mangoes cost?
  21. 21.If 2 mangoes cost ₹44, how many rupees do 6 mangoes cost?
  22. 22.A car goes 240 km in 6 hours. At the same speed, how many km does it go in 4 hours?
  23. 23.A bus goes 175 km in 5 hours. At the same speed, how many km does it go in 4 hours?
  24. 24.Write the ratio 56 : 24 in its simplest form. (a) 56 : 24 (b) 3 : 7 (c) 7 : 3 (d) 8 : 4
  25. 25.7 : 9 = ? : 27
  26. 26.Are 4, 14, 16 and 56 in proportion? (a) Yes (b) No
  27. 27.Are 12, 21, 24 and 45 in proportion? (a) Yes (b) No
  28. 28.Are 24, 54, 36 and 81 in proportion? (a) Yes (b) No
  29. 29.₹560 is shared between Arjun and Diya in the ratio 1 : 3. How many rupees does Arjun get?
  30. 30.A bus goes 210 km in 6 hours. At the same speed, how many km does it go in 5 hours?
  31. 31.Write the ratio 6 : 16 in its simplest form. (a) 4 : 9 (b) 8 : 3 (c) 3 : 8 (d) 6 : 16
  32. 32.7 : 8 = ? : 56
  33. 33.If 4 chocolates cost ₹156, how many rupees do 8 chocolates cost?
  34. 34.Write the ratio 18 : 9 in its simplest form. (a) 18 : 9 (b) 1 : 2 (c) 3 : 2 (d) 2 : 1
  35. 35.3 : 4 = ? : 16
  36. 36.2 : 7 = ? : 42
  37. 37.If 6 pens cost ₹324, how many rupees do 2 pens cost?
  38. 38.5 : 6 = 35 : ?
  39. 39.A class has 28 boys and 24 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 6 (b) 28 : 24 (c) 6 : 7 (d) 8 : 7
  40. 40.If 5 notebooks cost ₹40, how many rupees do 4 notebooks cost?

Answer key

  1. 40
  2. 45
  3. 6
  4. 880
  5. 210
  6. 1000
  7. 9 : 1
  8. 1 : 7
  9. 560
  10. No
  11. 1 : 5
  12. 25
  13. 3
  14. 5 : 2
  15. 9 : 7
  16. 3 : 1
  17. 1 : 9
  18. 40
  19. 216
  20. 480
  21. 132
  22. 160
  23. 140
  24. 7 : 3
  25. 21
  26. Yes
  27. No
  28. Yes
  29. 140
  30. 175
  31. 3 : 8
  32. 49
  33. 312
  34. 2 : 1
  35. 12
  36. 12
  37. 108
  38. 42
  39. 7 : 6
  40. 32

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