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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 258 · 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 10 : 8 in its simplest form. (a) 4 : 5 (b) 6 : 5 (c) 10 : 8 (d) 5 : 4
  2. 2.3 : 7 = ? : 35
  3. 3.Write the ratio 45 : 27 in its simplest form. (a) 45 : 27 (b) 6 : 4 (c) 5 : 3 (d) 3 : 5
  4. 4.₹440 is shared between Rahul and Saanvi in the ratio 1 : 3. How many rupees does Saanvi get?
  5. 5.Write the ratio 32 : 56 in its simplest form. (a) 7 : 4 (b) 5 : 8 (c) 4 : 7 (d) 32 : 56
  6. 6.A basket has 18 mangoes and 30 apples. What is the ratio of mangoes to apples in its simplest form? (a) 18 : 30 (b) 5 : 3 (c) 4 : 6 (d) 3 : 5
  7. 7.Are 3, 6, 4 and 8 in proportion? (a) No (b) Yes
  8. 8.Write the ratio 42 : 12 in its simplest form. (a) 42 : 12 (b) 8 : 3 (c) 7 : 2 (d) 2 : 7
  9. 9.Write the ratio 4 : 8 in its simplest form. (a) 2 : 3 (b) 1 : 2 (c) 4 : 8 (d) 2 : 1
  10. 10.Are 9, 21, 15 and 35 in proportion? (a) No (b) Yes
  11. 11.1 : 4 = 3 : ?
  12. 12.Are 18, 24, 15 and 20 in proportion? (a) No (b) Yes
  13. 13.Write the ratio 2 : 8 in its simplest form. (a) 2 : 8 (b) 2 : 5 (c) 4 : 1 (d) 1 : 4
  14. 14.Write the ratio 24 : 30 in its simplest form. (a) 5 : 6 (b) 4 : 5 (c) 5 : 4 (d) 24 : 30
  15. 15.Are 6, 15, 4 and 11 in proportion? (a) No (b) Yes
  16. 16.Write the ratio 63 : 28 in its simplest form. (a) 63 : 28 (b) 9 : 4 (c) 4 : 9 (d) 10 : 5
  17. 17.Write the ratio 4 : 12 in its simplest form. (a) 1 : 3 (b) 4 : 12 (c) 3 : 1 (d) 2 : 4
  18. 18.1 : 5 = 3 : ?
  19. 19.A box has 21 red pens and 27 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 7 (b) 21 : 27 (c) 8 : 10 (d) 7 : 9
  20. 20.A team has 7 batters and 56 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 8 (b) 7 : 56 (c) 2 : 9 (d) 8 : 1
  21. 21.3 : 4 = 21 : ?
  22. 22.Write the ratio 64 : 24 in its simplest form. (a) 64 : 24 (b) 3 : 8 (c) 8 : 3 (d) 9 : 4
  23. 23.A basket has 72 mangoes and 32 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 9 (b) 9 : 4 (c) 72 : 32 (d) 10 : 5
  24. 24.1 : 6 = 2 : ?
  25. 25.Write the ratio 7 : 63 in its simplest form. (a) 1 : 9 (b) 9 : 1 (c) 7 : 63 (d) 2 : 10
  26. 26.7 : 9 = ? : 27
  27. 27.₹1710 is shared between Pooja and Riya in the ratio 2 : 7. How many rupees does Riya get?
  28. 28.₹70 is shared between Dev and Karan in the ratio 3 : 4. How many rupees does Karan get?
  29. 29.A team has 5 batters and 10 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 2 (b) 5 : 10 (c) 2 : 1 (d) 2 : 3
  30. 30.₹1000 is shared between Aarav and Diya in the ratio 3 : 7. How many rupees does Diya get?
  31. 31.A car goes 150 km in 3 hours. At the same speed, how many km does it go in 4 hours?
  32. 32.A box has 2 red pens and 16 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 1 (b) 2 : 16 (c) 1 : 8 (d) 2 : 9
  33. 33.Write the ratio 42 : 7 in its simplest form. (a) 6 : 1 (b) 1 : 6 (c) 42 : 7 (d) 7 : 2
  34. 34.₹480 is shared between Arjun and Tara in the ratio 5 : 7. How many rupees does Tara get?
  35. 35.₹300 is shared between Ananya and Arjun in the ratio 7 : 8. How many rupees does Arjun get?
  36. 36.A box has 20 red pens and 12 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 5 (b) 20 : 12 (c) 6 : 4 (d) 5 : 3
  37. 37.A scooter goes 210 km in 6 hours. At the same speed, how many km does it go in 8 hours?
  38. 38.A bus goes 300 km in 6 hours. At the same speed, how many km does it go in 7 hours?
  39. 39.A basket has 48 mangoes and 56 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 8 (b) 6 : 7 (c) 48 : 56 (d) 7 : 6
  40. 40.₹2280 is shared between Pooja and Kavya in the ratio 5 : 7. How many rupees does Kavya get?

Answer key

  1. 5 : 4
  2. 15
  3. 5 : 3
  4. 330
  5. 4 : 7
  6. 3 : 5
  7. Yes
  8. 7 : 2
  9. 1 : 2
  10. Yes
  11. 12
  12. Yes
  13. 1 : 4
  14. 4 : 5
  15. No
  16. 9 : 4
  17. 1 : 3
  18. 15
  19. 7 : 9
  20. 1 : 8
  21. 28
  22. 8 : 3
  23. 9 : 4
  24. 12
  25. 1 : 9
  26. 21
  27. 1330
  28. 40
  29. 1 : 2
  30. 700
  31. 200
  32. 1 : 8
  33. 6 : 1
  34. 280
  35. 160
  36. 5 : 3
  37. 280
  38. 350
  39. 6 : 7
  40. 1330

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