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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 355 · 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.Are 18, 24, 21 and 29 in proportion? (a) No (b) Yes
  2. 2.Write the ratio 16 : 4 in its simplest form. (a) 16 : 4 (b) 4 : 1 (c) 5 : 2 (d) 1 : 4
  3. 3.₹960 is shared between Manav and Riya in the ratio 1 : 7. How many rupees does Riya get?
  4. 4.1 : 5 = ? : 25
  5. 5.2 : 7 = 10 : ?
  6. 6.A class has 6 boys and 4 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 3 (b) 3 : 2 (c) 6 : 4 (d) 4 : 3
  7. 7.1 : 6 = 3 : ?
  8. 8.Write the ratio 3 : 12 in its simplest form. (a) 3 : 12 (b) 1 : 4 (c) 4 : 1 (d) 2 : 5
  9. 9.A car goes 200 km in 5 hours. At the same speed, how many km does it go in 6 hours?
  10. 10.Are 24, 27, 48 and 57 in proportion? (a) Yes (b) No
  11. 11.Are 14, 18, 42 and 55 in proportion? (a) Yes (b) No
  12. 12.1 : 2 = ? : 16
  13. 13.Are 6, 10, 15 and 25 in proportion? (a) Yes (b) No
  14. 14.A car goes 120 km in 4 hours. At the same speed, how many km does it go in 6 hours?
  15. 15.1 : 8 = 6 : ?
  16. 16.A train goes 150 km in 5 hours. At the same speed, how many km does it go in 4 hours?
  17. 17.If 7 notebooks cost ₹336, how many rupees do 5 notebooks cost?
  18. 18.Are 15, 18, 20 and 26 in proportion? (a) No (b) Yes
  19. 19.A box has 8 red pens and 64 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 64 (b) 8 : 1 (c) 1 : 8 (d) 2 : 9
  20. 20.₹990 is shared between Nisha and Vivaan in the ratio 2 : 9. How many rupees does Vivaan get?
  21. 21.₹450 is shared between Saanvi and Diya in the ratio 2 : 7. How many rupees does Diya get?
  22. 22.Write the ratio 40 : 72 in its simplest form. (a) 9 : 5 (b) 40 : 72 (c) 6 : 10 (d) 5 : 9
  23. 23.If 8 mangoes cost ₹400, how many rupees do 6 mangoes cost?
  24. 24.Are 14, 16, 56 and 64 in proportion? (a) No (b) Yes
  25. 25.Are 4, 8, 6 and 12 in proportion? (a) No (b) Yes
  26. 26.3 : 7 = ? : 63
  27. 27.Write the ratio 8 : 10 in its simplest form. (a) 8 : 10 (b) 5 : 4 (c) 4 : 5 (d) 5 : 6
  28. 28.1 : 3 = 8 : ?
  29. 29.A train goes 280 km in 4 hours. At the same speed, how many km does it go in 1 hour?
  30. 30.A train goes 240 km in 6 hours. At the same speed, how many km does it go in 5 hours?
  31. 31.If 6 chocolates cost ₹282, how many rupees do 8 chocolates cost?
  32. 32.Are 15, 21, 30 and 42 in proportion? (a) Yes (b) No
  33. 33.Write the ratio 10 : 2 in its simplest form. (a) 10 : 2 (b) 6 : 2 (c) 1 : 5 (d) 5 : 1
  34. 34.Write the ratio 18 : 16 in its simplest form. (a) 18 : 16 (b) 10 : 9 (c) 9 : 8 (d) 8 : 9
  35. 35.A train goes 195 km in 3 hours. At the same speed, how many km does it go in 6 hours?
  36. 36.Are 15, 18, 10 and 13 in proportion? (a) No (b) Yes
  37. 37.Are 6, 8, 15 and 21 in proportion? (a) Yes (b) No
  38. 38.₹2340 is shared between Joseph and Zoya in the ratio 6 : 7. How many rupees does Zoya get?
  39. 39.5 : 6 = ? : 42
  40. 40.Are 2, 4, 6 and 15 in proportion? (a) No (b) Yes

Answer key

  1. No
  2. 4 : 1
  3. 840
  4. 5
  5. 35
  6. 3 : 2
  7. 18
  8. 1 : 4
  9. 240
  10. No
  11. No
  12. 8
  13. Yes
  14. 180
  15. 48
  16. 120
  17. 240
  18. No
  19. 1 : 8
  20. 810
  21. 350
  22. 5 : 9
  23. 300
  24. Yes
  25. Yes
  26. 27
  27. 4 : 5
  28. 24
  29. 70
  30. 200
  31. 376
  32. Yes
  33. 5 : 1
  34. 9 : 8
  35. 390
  36. No
  37. No
  38. 1260
  39. 35
  40. No

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