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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 360 · 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. 1.3 : 7 = 30 : ?
  2. 2.A basket has 27 mangoes and 24 apples. What is the ratio of mangoes to apples in its simplest form? (a) 27 : 24 (b) 10 : 9 (c) 9 : 8 (d) 8 : 9
  3. 3.If 6 ice creams cost ₹258, how many rupees do 10 ice creams cost?
  4. 4.If 6 bus tickets cost ₹150, how many rupees do 9 bus tickets cost?
  5. 5.6 : 7 = 24 : ?
  6. 6.A bus goes 180 km in 6 hours. At the same speed, how many km does it go in 3 hours?
  7. 7.7 : 9 = ? : 36
  8. 8.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  9. 9.If 7 chocolates cost ₹238, how many rupees do 4 chocolates cost?
  10. 10.Write the ratio 24 : 42 in its simplest form. (a) 5 : 8 (b) 24 : 42 (c) 4 : 7 (d) 7 : 4
  11. 11.A basket has 8 mangoes and 4 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 2 (b) 3 : 2 (c) 2 : 1 (d) 8 : 4
  12. 12.If 7 bus tickets cost ₹287, how many rupees do 2 bus tickets cost?
  13. 13.Are 3, 9, 7 and 21 in proportion? (a) Yes (b) No
  14. 14.7 : 9 = 70 : ?
  15. 15.4 : 7 = ? : 35
  16. 16.If 5 notebooks cost ₹25, how many rupees do 2 notebooks cost?
  17. 17.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 8 hours?
  18. 18.A car goes 150 km in 2 hours. At the same speed, how many km does it go in 6 hours?
  19. 19.₹550 is shared between Saanvi and Ishaan in the ratio 2 : 9. How many rupees does Ishaan get?
  20. 20.7 : 9 = ? : 81
  21. 21.A car goes 400 km in 5 hours. At the same speed, how many km does it go in 1 hour?
  22. 22.2 : 9 = 4 : ?
  23. 23.1 : 5 = 7 : ?
  24. 24.A basket has 12 mangoes and 21 apples. What is the ratio of mangoes to apples in its simplest form? (a) 12 : 21 (b) 4 : 7 (c) 7 : 4 (d) 5 : 8
  25. 25.Write the ratio 14 : 12 in its simplest form. (a) 8 : 7 (b) 6 : 7 (c) 7 : 6 (d) 14 : 12
  26. 26.1 : 4 = 5 : ?
  27. 27.Are 4, 20, 3 and 18 in proportion? (a) No (b) Yes
  28. 28.2 : 3 = 8 : ?
  29. 29.Write the ratio 42 : 7 in its simplest form. (a) 7 : 2 (b) 42 : 7 (c) 6 : 1 (d) 1 : 6
  30. 30.5 : 7 = 30 : ?
  31. 31.A team has 16 batters and 10 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 5 (b) 5 : 8 (c) 9 : 6 (d) 16 : 10
  32. 32.₹650 is shared between Vivaan and Ananya in the ratio 5 : 8. How many rupees does Ananya get?
  33. 33.A garden has 25 rose plants and 35 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 5 (b) 25 : 35 (c) 6 : 8 (d) 5 : 7
  34. 34.1 : 8 = 7 : ?
  35. 35.Write the ratio 63 : 81 in its simplest form. (a) 7 : 9 (b) 63 : 81 (c) 9 : 7 (d) 8 : 10
  36. 36.3 : 5 = ? : 50
  37. 37.₹260 is shared between Saanvi and Aarav in the ratio 5 : 8. How many rupees does Saanvi get?
  38. 38.A team has 7 batters and 21 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 1 (b) 1 : 3 (c) 7 : 21 (d) 2 : 4
  39. 39.Write the ratio 12 : 20 in its simplest form. (a) 12 : 20 (b) 5 : 3 (c) 4 : 6 (d) 3 : 5
  40. 40.5 : 7 = 20 : ?

Answer key

  1. 70
  2. 9 : 8
  3. 430
  4. 225
  5. 28
  6. 90
  7. 28
  8. 35
  9. 136
  10. 4 : 7
  11. 2 : 1
  12. 82
  13. Yes
  14. 90
  15. 20
  16. 10
  17. 280
  18. 450
  19. 450
  20. 63
  21. 80
  22. 18
  23. 35
  24. 4 : 7
  25. 7 : 6
  26. 20
  27. No
  28. 12
  29. 6 : 1
  30. 42
  31. 8 : 5
  32. 400
  33. 5 : 7
  34. 56
  35. 7 : 9
  36. 30
  37. 100
  38. 1 : 3
  39. 3 : 5
  40. 28

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