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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 88 · 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.A basket has 40 mangoes and 8 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 5 (b) 40 : 8 (c) 5 : 1 (d) 6 : 2
  2. 2.Write the ratio 32 : 24 in its simplest form. (a) 5 : 4 (b) 32 : 24 (c) 3 : 4 (d) 4 : 3
  3. 3.A class has 6 boys and 3 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 2 (b) 6 : 3 (c) 2 : 1 (d) 1 : 2
  4. 4.A team has 8 batters and 32 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 1 (b) 1 : 4 (c) 8 : 32 (d) 2 : 5
  5. 5.₹550 is shared between Ananya and Dev in the ratio 2 : 9. How many rupees does Dev get?
  6. 6.Write the ratio 8 : 20 in its simplest form. (a) 8 : 20 (b) 5 : 2 (c) 2 : 5 (d) 3 : 6
  7. 7.A train goes 225 km in 5 hours. At the same speed, how many km does it go in 3 hours?
  8. 8.A class has 42 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 7 (b) 42 : 12 (c) 7 : 2 (d) 8 : 3
  9. 9.A basket has 2 mangoes and 8 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 1 (b) 2 : 5 (c) 1 : 4 (d) 2 : 8
  10. 10.1 : 4 = ? : 24
  11. 11.₹990 is shared between Joseph and Kavya in the ratio 3 : 8. How many rupees does Joseph get?
  12. 12.₹280 is shared between Aditya and Riya in the ratio 1 : 6. How many rupees does Riya get?
  13. 13.A bus goes 220 km in 4 hours. At the same speed, how many km does it go in 8 hours?
  14. 14.Write the ratio 54 : 24 in its simplest form. (a) 10 : 5 (b) 9 : 4 (c) 54 : 24 (d) 4 : 9
  15. 15.Are 15, 40, 6 and 17 in proportion? (a) No (b) Yes
  16. 16.A basket has 40 mangoes and 45 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 9 (b) 40 : 45 (c) 9 : 8 (d) 9 : 10
  17. 17.A class has 18 boys and 8 girls. What is the ratio of boys to girls in its simplest form? (a) 18 : 8 (b) 10 : 5 (c) 9 : 4 (d) 4 : 9
  18. 18.Write the ratio 45 : 18 in its simplest form. (a) 45 : 18 (b) 6 : 3 (c) 2 : 5 (d) 5 : 2
  19. 19.₹400 is shared between Dev and Joseph in the ratio 3 : 5. How many rupees does Joseph get?
  20. 20.If 8 pens cost ₹472, how many rupees do 6 pens cost?
  21. 21.A class has 6 boys and 27 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 9 (b) 6 : 27 (c) 3 : 10 (d) 9 : 2
  22. 22.Are 4, 18, 8 and 36 in proportion? (a) No (b) Yes
  23. 23.Write the ratio 40 : 48 in its simplest form. (a) 6 : 7 (b) 40 : 48 (c) 6 : 5 (d) 5 : 6
  24. 24.Are 12, 16, 27 and 38 in proportion? (a) No (b) Yes
  25. 25.Are 2, 18, 5 and 45 in proportion? (a) No (b) Yes
  26. 26.Are 8, 18, 20 and 45 in proportion? (a) No (b) Yes
  27. 27.If 3 mangoes cost ₹57, how many rupees do 7 mangoes cost?
  28. 28.₹550 is shared between Aditya and Sneha in the ratio 1 : 4. How many rupees does Sneha get?
  29. 29.A car goes 480 km in 6 hours. At the same speed, how many km does it go in 3 hours?
  30. 30.Write the ratio 49 : 56 in its simplest form. (a) 8 : 9 (b) 8 : 7 (c) 7 : 8 (d) 49 : 56
  31. 31.If 3 chocolates cost ₹132, how many rupees do 5 chocolates cost?
  32. 32.₹1120 is shared between Lakshmi and Kavya in the ratio 3 : 4. How many rupees does Kavya get?
  33. 33.A class has 72 boys and 32 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 4 (b) 72 : 32 (c) 4 : 9 (d) 10 : 5
  34. 34.Write the ratio 10 : 18 in its simplest form. (a) 5 : 9 (b) 10 : 18 (c) 6 : 10 (d) 9 : 5
  35. 35.Are 3, 27, 2 and 20 in proportion? (a) Yes (b) No
  36. 36.4 : 7 = ? : 14
  37. 37.A basket has 64 mangoes and 56 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 8 (b) 7 : 8 (c) 64 : 56 (d) 8 : 7
  38. 38.Write the ratio 16 : 24 in its simplest form. (a) 3 : 2 (b) 16 : 24 (c) 3 : 4 (d) 2 : 3
  39. 39.A scooter goes 240 km in 3 hours. At the same speed, how many km does it go in 6 hours?
  40. 40.Write the ratio 2 : 10 in its simplest form. (a) 1 : 5 (b) 2 : 10 (c) 2 : 6 (d) 5 : 1

Answer key

  1. 5 : 1
  2. 4 : 3
  3. 2 : 1
  4. 1 : 4
  5. 450
  6. 2 : 5
  7. 135
  8. 7 : 2
  9. 1 : 4
  10. 6
  11. 270
  12. 240
  13. 440
  14. 9 : 4
  15. No
  16. 8 : 9
  17. 9 : 4
  18. 5 : 2
  19. 250
  20. 354
  21. 2 : 9
  22. Yes
  23. 5 : 6
  24. No
  25. Yes
  26. Yes
  27. 133
  28. 440
  29. 240
  30. 7 : 8
  31. 220
  32. 640
  33. 9 : 4
  34. 5 : 9
  35. No
  36. 8
  37. 8 : 7
  38. 2 : 3
  39. 480
  40. 1 : 5

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