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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 320 · 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 27 : 6 in its simplest form. (a) 9 : 2 (b) 2 : 9 (c) 10 : 3 (d) 27 : 6
  2. 2.1 : 3 = 2 : ?
  3. 3.A scooter goes 220 km in 4 hours. At the same speed, how many km does it go in 6 hours?
  4. 4.₹110 is shared between Meera and Rohan in the ratio 4 : 7. How many rupees does Rohan get?
  5. 5.Are 12, 27, 8 and 20 in proportion? (a) Yes (b) No
  6. 6.A scooter goes 260 km in 4 hours. At the same speed, how many km does it go in 1 hour?
  7. 7.1 : 4 = 6 : ?
  8. 8.Write the ratio 2 : 10 in its simplest form. (a) 5 : 1 (b) 1 : 5 (c) 2 : 6 (d) 2 : 10
  9. 9.Write the ratio 63 : 27 in its simplest form. (a) 3 : 7 (b) 7 : 3 (c) 63 : 27 (d) 8 : 4
  10. 10.Are 8, 36, 10 and 47 in proportion? (a) No (b) Yes
  11. 11.If 5 mangoes cost ₹285, how many rupees do 3 mangoes cost?
  12. 12.Write the ratio 4 : 6 in its simplest form. (a) 4 : 6 (b) 2 : 3 (c) 3 : 4 (d) 3 : 2
  13. 13.A basket has 54 mangoes and 42 apples. What is the ratio of mangoes to apples in its simplest form? (a) 10 : 8 (b) 9 : 7 (c) 54 : 42 (d) 7 : 9
  14. 14.Are 24, 28, 48 and 57 in proportion? (a) Yes (b) No
  15. 15.3 : 4 = 18 : ?
  16. 16.4 : 5 = ? : 10
  17. 17.Write the ratio 24 : 20 in its simplest form. (a) 5 : 6 (b) 6 : 5 (c) 7 : 6 (d) 24 : 20
  18. 18.A scooter goes 120 km in 3 hours. At the same speed, how many km does it go in 1 hour?
  19. 19.Write the ratio 32 : 56 in its simplest form. (a) 5 : 8 (b) 4 : 7 (c) 32 : 56 (d) 7 : 4
  20. 20.A class has 20 boys and 8 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 5 (b) 6 : 3 (c) 5 : 2 (d) 20 : 8
  21. 21.A class has 24 boys and 56 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 3 (b) 24 : 56 (c) 4 : 8 (d) 3 : 7
  22. 22.₹840 is shared between Ananya and Kabir in the ratio 5 : 9. How many rupees does Kabir get?
  23. 23.A bus goes 120 km in 4 hours. At the same speed, how many km does it go in 2 hours?
  24. 24.Are 5, 35, 6 and 43 in proportion? (a) No (b) Yes
  25. 25.₹90 is shared between Zoya and Tara in the ratio 4 : 5. How many rupees does Zoya get?
  26. 26.1 : 5 = 8 : ?
  27. 27.If 4 notebooks cost ₹64, how many rupees do 11 notebooks cost?
  28. 28.Write the ratio 18 : 14 in its simplest form. (a) 18 : 14 (b) 7 : 9 (c) 10 : 8 (d) 9 : 7
  29. 29.5 : 9 = ? : 63
  30. 30.1 : 5 = ? : 25
  31. 31.Are 8, 18, 28 and 64 in proportion? (a) No (b) Yes
  32. 32.1 : 4 = 7 : ?
  33. 33.Write the ratio 45 : 27 in its simplest form. (a) 45 : 27 (b) 3 : 5 (c) 5 : 3 (d) 6 : 4
  34. 34.Write the ratio 6 : 12 in its simplest form. (a) 2 : 1 (b) 1 : 2 (c) 6 : 12 (d) 2 : 3
  35. 35.Write the ratio 40 : 56 in its simplest form. (a) 5 : 7 (b) 7 : 5 (c) 6 : 8 (d) 40 : 56
  36. 36.₹1650 is shared between Isha and Arjun in the ratio 7 : 8. How many rupees does Isha get?
  37. 37.Are 40, 45, 32 and 37 in proportion? (a) Yes (b) No
  38. 38.1 : 7 = ? : 28
  39. 39.7 : 9 = 14 : ?
  40. 40.If 9 pens cost ₹495, how many rupees do 11 pens cost?

Answer key

  1. 9 : 2
  2. 6
  3. 330
  4. 70
  5. No
  6. 65
  7. 24
  8. 1 : 5
  9. 7 : 3
  10. No
  11. 171
  12. 2 : 3
  13. 9 : 7
  14. No
  15. 24
  16. 8
  17. 6 : 5
  18. 40
  19. 4 : 7
  20. 5 : 2
  21. 3 : 7
  22. 540
  23. 60
  24. No
  25. 40
  26. 40
  27. 176
  28. 9 : 7
  29. 35
  30. 5
  31. No
  32. 28
  33. 5 : 3
  34. 1 : 2
  35. 5 : 7
  36. 770
  37. No
  38. 4
  39. 18
  40. 605

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