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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 191 · 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.

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  1. 1.A library shelf has 6 storybooks and 42 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 8 (b) 7 : 1 (c) 1 : 7 (d) 6 : 42
  2. 2.A team has 15 batters and 35 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 15 : 35 (b) 4 : 8 (c) 7 : 3 (d) 3 : 7
  3. 3.₹990 is shared between Tara and Dev in the ratio 3 : 8. How many rupees does Tara get?
  4. 4.A team has 64 batters and 56 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 8 (b) 8 : 7 (c) 7 : 8 (d) 64 : 56
  5. 5.Write the ratio 15 : 3 in its simplest form. (a) 6 : 2 (b) 15 : 3 (c) 1 : 5 (d) 5 : 1
  6. 6.₹900 is shared between Farhan and Manav in the ratio 3 : 7. How many rupees does Farhan get?
  7. 7.If 4 chocolates cost ₹148, how many rupees do 12 chocolates cost?
  8. 8.A garden has 28 rose plants and 12 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 3 (b) 8 : 4 (c) 28 : 12 (d) 3 : 7
  9. 9.A basket has 6 mangoes and 15 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 15 (b) 3 : 6 (c) 2 : 5 (d) 5 : 2
  10. 10.If 2 ice creams cost ₹112, how many rupees do 5 ice creams cost?
  11. 11.A bus goes 260 km in 4 hours. At the same speed, how many km does it go in 2 hours?
  12. 12.3 : 5 = ? : 30
  13. 13.If 2 mangoes cost ₹70, how many rupees do 9 mangoes cost?
  14. 14.If 6 mangoes cost ₹354, how many rupees do 3 mangoes cost?
  15. 15.If 2 pens cost ₹30, how many rupees do 10 pens cost?
  16. 16.A car goes 90 km in 3 hours. At the same speed, how many km does it go in 5 hours?
  17. 17.Write the ratio 6 : 12 in its simplest form. (a) 6 : 12 (b) 2 : 1 (c) 2 : 3 (d) 1 : 2
  18. 18.A class has 8 boys and 4 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 2 (b) 3 : 2 (c) 2 : 1 (d) 8 : 4
  19. 19.If 3 mangoes cost ₹78, how many rupees do 2 mangoes cost?
  20. 20.Write the ratio 9 : 27 in its simplest form. (a) 9 : 27 (b) 2 : 4 (c) 3 : 1 (d) 1 : 3
  21. 21.Write the ratio 6 : 42 in its simplest form. (a) 6 : 42 (b) 1 : 7 (c) 2 : 8 (d) 7 : 1
  22. 22.A library shelf has 35 storybooks and 30 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 6 (b) 6 : 7 (c) 35 : 30 (d) 8 : 7
  23. 23.Write the ratio 36 : 63 in its simplest form. (a) 7 : 4 (b) 5 : 8 (c) 36 : 63 (d) 4 : 7
  24. 24.A car goes 210 km in 6 hours. At the same speed, how many km does it go in 8 hours?
  25. 25.₹550 is shared between Aarav and Saanvi in the ratio 1 : 4. How many rupees does Saanvi get?
  26. 26.2 : 3 = 6 : ?
  27. 27.Write the ratio 24 : 64 in its simplest form. (a) 24 : 64 (b) 8 : 3 (c) 3 : 8 (d) 4 : 9
  28. 28.Are 5, 20, 2 and 9 in proportion? (a) Yes (b) No
  29. 29.4 : 9 = 32 : ?
  30. 30.1 : 9 = ? : 36
  31. 31.₹900 is shared between Meera and Aditya in the ratio 1 : 8. How many rupees does Aditya get?
  32. 32.4 : 7 = 40 : ?
  33. 33.7 : 8 = 28 : ?
  34. 34.A scooter goes 180 km in 3 hours. At the same speed, how many km does it go in 8 hours?
  35. 35.If 4 ice creams cost ₹120, how many rupees do 8 ice creams cost?
  36. 36.Write the ratio 14 : 21 in its simplest form. (a) 2 : 3 (b) 3 : 2 (c) 3 : 4 (d) 14 : 21
  37. 37.Are 15, 20, 12 and 19 in proportion? (a) Yes (b) No
  38. 38.A car goes 180 km in 4 hours. At the same speed, how many km does it go in 2 hours?
  39. 39.₹40 is shared between Farhan and Nisha in the ratio 1 : 3. How many rupees does Nisha get?
  40. 40.A class has 36 boys and 9 girls. What is the ratio of boys to girls in its simplest form? (a) 36 : 9 (b) 1 : 4 (c) 5 : 2 (d) 4 : 1

Answer key

  1. 1 : 7
  2. 3 : 7
  3. 270
  4. 8 : 7
  5. 5 : 1
  6. 270
  7. 444
  8. 7 : 3
  9. 2 : 5
  10. 280
  11. 130
  12. 18
  13. 315
  14. 177
  15. 150
  16. 150
  17. 1 : 2
  18. 2 : 1
  19. 52
  20. 1 : 3
  21. 1 : 7
  22. 7 : 6
  23. 4 : 7
  24. 280
  25. 440
  26. 9
  27. 3 : 8
  28. No
  29. 72
  30. 4
  31. 800
  32. 70
  33. 32
  34. 480
  35. 240
  36. 2 : 3
  37. No
  38. 90
  39. 30
  40. 4 : 1

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