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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 78 · 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 : 6 in its simplest form. (a) 2 : 3 (b) 9 : 6 (c) 4 : 3 (d) 3 : 2
  2. 2.If 3 notebooks cost ₹159, how many rupees do 8 notebooks cost?
  3. 3.If 4 notebooks cost ₹92, how many rupees do 11 notebooks cost?
  4. 4.1 : 4 = 7 : ?
  5. 5.Write the ratio 4 : 12 in its simplest form. (a) 3 : 1 (b) 2 : 4 (c) 1 : 3 (d) 4 : 12
  6. 6.Are 2, 14, 9 and 64 in proportion? (a) Yes (b) No
  7. 7.₹2000 is shared between Pooja and Arjun in the ratio 3 : 7. How many rupees does Arjun get?
  8. 8.Are 10, 45, 18 and 82 in proportion? (a) No (b) Yes
  9. 9.1 : 9 = ? : 72
  10. 10.A basket has 21 mangoes and 15 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 6 (b) 5 : 7 (c) 21 : 15 (d) 7 : 5
  11. 11.₹770 is shared between Aarav and Rohan in the ratio 4 : 7. How many rupees does Aarav get?
  12. 12.If 3 bus tickets cost ₹96, how many rupees do 7 bus tickets cost?
  13. 13.₹90 is shared between Tara and Rahul in the ratio 1 : 8. How many rupees does Rahul get?
  14. 14.Are 8, 28, 14 and 50 in proportion? (a) Yes (b) No
  15. 15.Write the ratio 9 : 18 in its simplest form. (a) 9 : 18 (b) 2 : 1 (c) 1 : 2 (d) 2 : 3
  16. 16.6 : 7 = ? : 14
  17. 17.A box has 20 red pens and 36 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 6 : 10 (b) 20 : 36 (c) 9 : 5 (d) 5 : 9
  18. 18.1 : 6 = 5 : ?
  19. 19.If 3 ice creams cost ₹27, how many rupees do 9 ice creams cost?
  20. 20.If 2 notebooks cost ₹16, how many rupees do 9 notebooks cost?
  21. 21.If 7 notebooks cost ₹21, how many rupees do 9 notebooks cost?
  22. 22.A car goes 80 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  23. 23.1 : 6 = ? : 54
  24. 24.1 : 2 = 7 : ?
  25. 25.If 9 chocolates cost ₹414, how many rupees do 8 chocolates cost?
  26. 26.Write the ratio 6 : 18 in its simplest form. (a) 1 : 3 (b) 2 : 4 (c) 6 : 18 (d) 3 : 1
  27. 27.If 9 bus tickets cost ₹180, how many rupees do 12 bus tickets cost?
  28. 28.Are 30, 36, 35 and 42 in proportion? (a) Yes (b) No
  29. 29.A team has 30 batters and 42 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 7 : 5 (b) 30 : 42 (c) 6 : 8 (d) 5 : 7
  30. 30.Write the ratio 24 : 3 in its simplest form. (a) 24 : 3 (b) 9 : 2 (c) 1 : 8 (d) 8 : 1
  31. 31.1 : 5 = ? : 50
  32. 32.A class has 56 boys and 72 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 7 (b) 8 : 10 (c) 56 : 72 (d) 7 : 9
  33. 33.5 : 7 = ? : 35
  34. 34.A scooter goes 130 km in 2 hours. At the same speed, how many km does it go in 4 hours?
  35. 35.Write the ratio 7 : 63 in its simplest form. (a) 7 : 63 (b) 9 : 1 (c) 2 : 10 (d) 1 : 9
  36. 36.1 : 3 = 3 : ?
  37. 37.A team has 12 batters and 10 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 7 : 6 (b) 12 : 10 (c) 6 : 5 (d) 5 : 6
  38. 38.3 : 7 = 18 : ?
  39. 39.1 : 4 = 8 : ?
  40. 40.1 : 4 = 4 : ?

Answer key

  1. 3 : 2
  2. 424
  3. 253
  4. 28
  5. 1 : 3
  6. No
  7. 1400
  8. No
  9. 8
  10. 7 : 5
  11. 280
  12. 224
  13. 80
  14. No
  15. 1 : 2
  16. 12
  17. 5 : 9
  18. 30
  19. 81
  20. 72
  21. 27
  22. 280
  23. 9
  24. 14
  25. 368
  26. 1 : 3
  27. 240
  28. Yes
  29. 5 : 7
  30. 8 : 1
  31. 10
  32. 7 : 9
  33. 25
  34. 260
  35. 1 : 9
  36. 9
  37. 6 : 5
  38. 42
  39. 32
  40. 16

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