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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 237 · 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. 1.5 : 7 = 40 : ?
  2. 2.1 : 4 = ? : 12
  3. 3.1 : 7 = 4 : ?
  4. 4.3 : 5 = 9 : ?
  5. 5.A class has 16 boys and 56 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 2 (b) 3 : 8 (c) 16 : 56 (d) 2 : 7
  6. 6.Write the ratio 49 : 21 in its simplest form. (a) 49 : 21 (b) 8 : 4 (c) 3 : 7 (d) 7 : 3
  7. 7.Write the ratio 6 : 30 in its simplest form. (a) 5 : 1 (b) 6 : 30 (c) 1 : 5 (d) 2 : 6
  8. 8.A car goes 200 km in 4 hours. At the same speed, how many km does it go in 1 hour?
  9. 9.If 9 bus tickets cost ₹207, how many rupees do 11 bus tickets cost?
  10. 10.If 3 mangoes cost ₹114, how many rupees do 2 mangoes cost?
  11. 11.If 6 pens cost ₹210, how many rupees do 2 pens cost?
  12. 12.7 : 8 = 63 : ?
  13. 13.A bus goes 210 km in 6 hours. At the same speed, how many km does it go in 3 hours?
  14. 14.₹750 is shared between Nisha and Rahul in the ratio 2 : 3. How many rupees does Rahul get?
  15. 15.₹1440 is shared between Vivaan and Rohan in the ratio 7 : 9. How many rupees does Rohan get?
  16. 16.A train goes 200 km in 5 hours. At the same speed, how many km does it go in 1 hour?
  17. 17.1 : 3 = ? : 30
  18. 18.A class has 27 boys and 18 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 3 (b) 2 : 3 (c) 3 : 2 (d) 27 : 18
  19. 19.A box has 63 red pens and 72 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 9 (b) 7 : 8 (c) 8 : 7 (d) 63 : 72
  20. 20.1 : 2 = 10 : ?
  21. 21.1 : 4 = 6 : ?
  22. 22.4 : 5 = ? : 40
  23. 23.₹1300 is shared between Gurpreet and Joseph in the ratio 5 : 8. How many rupees does Gurpreet get?
  24. 24.Write the ratio 3 : 18 in its simplest form. (a) 3 : 18 (b) 2 : 7 (c) 6 : 1 (d) 1 : 6
  25. 25.A car goes 210 km in 6 hours. At the same speed, how many km does it go in 1 hour?
  26. 26.Are 16, 20, 28 and 37 in proportion? (a) No (b) Yes
  27. 27.₹780 is shared between Tara and Farhan in the ratio 5 : 8. How many rupees does Tara get?
  28. 28.8 : 9 = 48 : ?
  29. 29.₹900 is shared between Ishaan and Diya in the ratio 3 : 7. How many rupees does Diya get?
  30. 30.A scooter goes 180 km in 4 hours. At the same speed, how many km does it go in 3 hours?
  31. 31.₹630 is shared between Priya and Saanvi in the ratio 2 : 5. How many rupees does Saanvi get?
  32. 32.A train goes 120 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  33. 33.₹3040 is shared between Dev and Saanvi in the ratio 7 : 9. How many rupees does Saanvi get?
  34. 34.A box has 12 red pens and 16 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 12 : 16 (b) 4 : 3 (c) 4 : 5 (d) 3 : 4
  35. 35.Are 20, 32, 35 and 59 in proportion? (a) No (b) Yes
  36. 36.3 : 5 = 12 : ?
  37. 37.Are 15, 24, 20 and 35 in proportion? (a) No (b) Yes
  38. 38.4 : 5 = 8 : ?
  39. 39.A bus goes 325 km in 5 hours. At the same speed, how many km does it go in 8 hours?
  40. 40.If 3 notebooks cost ₹180, how many rupees do 7 notebooks cost?

Answer key

  1. 56
  2. 3
  3. 28
  4. 15
  5. 2 : 7
  6. 7 : 3
  7. 1 : 5
  8. 50
  9. 253
  10. 76
  11. 70
  12. 72
  13. 105
  14. 450
  15. 810
  16. 40
  17. 10
  18. 3 : 2
  19. 7 : 8
  20. 20
  21. 24
  22. 32
  23. 500
  24. 1 : 6
  25. 35
  26. No
  27. 300
  28. 54
  29. 630
  30. 135
  31. 450
  32. 60
  33. 1710
  34. 3 : 4
  35. No
  36. 20
  37. No
  38. 10
  39. 520
  40. 420

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