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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 225 · 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. 1.2 : 5 = ? : 10
  2. 2.A class has 18 boys and 48 girls. What is the ratio of boys to girls in its simplest form? (a) 18 : 48 (b) 8 : 3 (c) 3 : 8 (d) 4 : 9
  3. 3.If 6 chocolates cost ₹126, how many rupees do 7 chocolates cost?
  4. 4.₹1430 is shared between Priya and Zoya in the ratio 6 : 7. How many rupees does Priya get?
  5. 5.A basket has 49 mangoes and 63 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 10 (b) 49 : 63 (c) 9 : 7 (d) 7 : 9
  6. 6.Write the ratio 32 : 36 in its simplest form. (a) 32 : 36 (b) 9 : 10 (c) 9 : 8 (d) 8 : 9
  7. 7.A library shelf has 24 storybooks and 3 science books. What is the ratio of storybooks to science books in its simplest form? (a) 24 : 3 (b) 8 : 1 (c) 9 : 2 (d) 1 : 8
  8. 8.Write the ratio 7 : 28 in its simplest form. (a) 2 : 5 (b) 7 : 28 (c) 4 : 1 (d) 1 : 4
  9. 9.Write the ratio 35 : 14 in its simplest form. (a) 35 : 14 (b) 5 : 2 (c) 2 : 5 (d) 6 : 3
  10. 10.1 : 8 = ? : 72
  11. 11.Are 24, 27, 64 and 72 in proportion? (a) No (b) Yes
  12. 12.5 : 7 = 10 : ?
  13. 13.₹720 is shared between Ananya and Rohan in the ratio 1 : 3. How many rupees does Ananya get?
  14. 14.A basket has 8 mangoes and 28 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 7 (b) 3 : 8 (c) 8 : 28 (d) 7 : 2
  15. 15.A box has 40 red pens and 15 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 3 (b) 9 : 4 (c) 3 : 8 (d) 40 : 15
  16. 16.A basket has 8 mangoes and 2 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 2 (b) 4 : 1 (c) 1 : 4 (d) 5 : 2
  17. 17.Write the ratio 14 : 2 in its simplest form. (a) 14 : 2 (b) 7 : 1 (c) 8 : 2 (d) 1 : 7
  18. 18.A train goes 280 km in 4 hours. At the same speed, how many km does it go in 3 hours?
  19. 19.If 9 chocolates cost ₹261, how many rupees do 5 chocolates cost?
  20. 20.Are 10, 14, 45 and 64 in proportion? (a) Yes (b) No
  21. 21.2 : 5 = ? : 35
  22. 22.7 : 8 = ? : 56
  23. 23.Write the ratio 8 : 40 in its simplest form. (a) 2 : 6 (b) 8 : 40 (c) 5 : 1 (d) 1 : 5
  24. 24.Are 3, 12, 2 and 11 in proportion? (a) No (b) Yes
  25. 25.If 4 ice creams cost ₹100, how many rupees do 8 ice creams cost?
  26. 26.₹80 is shared between Lakshmi and Karan in the ratio 1 : 7. How many rupees does Lakshmi get?
  27. 27.₹1260 is shared between Isha and Ananya in the ratio 3 : 4. How many rupees does Isha get?
  28. 28.Are 10, 14, 30 and 42 in proportion? (a) No (b) Yes
  29. 29.Write the ratio 16 : 28 in its simplest form. (a) 7 : 4 (b) 5 : 8 (c) 16 : 28 (d) 4 : 7
  30. 30.A car goes 120 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  31. 31.Are 8, 14, 16 and 28 in proportion? (a) Yes (b) No
  32. 32.₹300 is shared between Isha and Meera in the ratio 1 : 9. How many rupees does Isha get?
  33. 33.Write the ratio 6 : 54 in its simplest form. (a) 2 : 10 (b) 9 : 1 (c) 1 : 9 (d) 6 : 54
  34. 34.A class has 6 boys and 8 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 4 (b) 6 : 8 (c) 4 : 5 (d) 4 : 3
  35. 35.A car goes 360 km in 6 hours. At the same speed, how many km does it go in 8 hours?
  36. 36.A class has 12 boys and 18 girls. What is the ratio of boys to girls in its simplest form? (a) 12 : 18 (b) 3 : 4 (c) 3 : 2 (d) 2 : 3
  37. 37.Write the ratio 63 : 72 in its simplest form. (a) 8 : 7 (b) 8 : 9 (c) 63 : 72 (d) 7 : 8
  38. 38.Are 5, 25, 6 and 32 in proportion? (a) Yes (b) No
  39. 39.A basket has 10 mangoes and 14 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 8 (b) 5 : 7 (c) 10 : 14 (d) 7 : 5
  40. 40.1 : 4 = 8 : ?

Answer key

  1. 4
  2. 3 : 8
  3. 147
  4. 660
  5. 7 : 9
  6. 8 : 9
  7. 8 : 1
  8. 1 : 4
  9. 5 : 2
  10. 9
  11. Yes
  12. 14
  13. 180
  14. 2 : 7
  15. 8 : 3
  16. 4 : 1
  17. 7 : 1
  18. 210
  19. 145
  20. No
  21. 14
  22. 49
  23. 1 : 5
  24. No
  25. 200
  26. 10
  27. 540
  28. Yes
  29. 4 : 7
  30. 180
  31. Yes
  32. 30
  33. 1 : 9
  34. 3 : 4
  35. 480
  36. 2 : 3
  37. 7 : 8
  38. No
  39. 5 : 7
  40. 32

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