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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 275 · 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. 1.7 : 9 = ? : 54
  2. 2.If 4 pens cost ₹28, how many rupees do 8 pens cost?
  3. 3.Are 8, 14, 20 and 36 in proportion? (a) Yes (b) No
  4. 4.Write the ratio 12 : 21 in its simplest form. (a) 5 : 8 (b) 7 : 4 (c) 4 : 7 (d) 12 : 21
  5. 5.A bus goes 240 km in 6 hours. At the same speed, how many km does it go in 8 hours?
  6. 6.1 : 8 = 3 : ?
  7. 7.₹1210 is shared between Isha and Tara in the ratio 2 : 9. How many rupees does Tara get?
  8. 8.₹2200 is shared between Vivaan and Farhan in the ratio 4 : 7. How many rupees does Vivaan get?
  9. 9.Write the ratio 12 : 18 in its simplest form. (a) 3 : 2 (b) 12 : 18 (c) 2 : 3 (d) 3 : 4
  10. 10.Write the ratio 18 : 48 in its simplest form. (a) 4 : 9 (b) 18 : 48 (c) 3 : 8 (d) 8 : 3
  11. 11.If 8 notebooks cost ₹288, how many rupees do 4 notebooks cost?
  12. 12.If 5 bus tickets cost ₹60, how many rupees do 4 bus tickets cost?
  13. 13.2 : 3 = 14 : ?
  14. 14.Are 28, 32, 56 and 64 in proportion? (a) Yes (b) No
  15. 15.Write the ratio 25 : 20 in its simplest form. (a) 5 : 4 (b) 25 : 20 (c) 6 : 5 (d) 4 : 5
  16. 16.If 7 mangoes cost ₹301, how many rupees do 11 mangoes cost?
  17. 17.₹70 is shared between Saanvi and Lakshmi in the ratio 2 : 5. How many rupees does Lakshmi get?
  18. 18.Write the ratio 72 : 16 in its simplest form. (a) 72 : 16 (b) 2 : 9 (c) 9 : 2 (d) 10 : 3
  19. 19.1 : 7 = ? : 70
  20. 20.Write the ratio 36 : 20 in its simplest form. (a) 36 : 20 (b) 5 : 9 (c) 9 : 5 (d) 10 : 6
  21. 21.Are 4, 12, 9 and 27 in proportion? (a) No (b) Yes
  22. 22.Write the ratio 24 : 6 in its simplest form. (a) 5 : 2 (b) 1 : 4 (c) 24 : 6 (d) 4 : 1
  23. 23.Are 6, 10, 9 and 16 in proportion? (a) No (b) Yes
  24. 24.Are 3, 27, 6 and 54 in proportion? (a) No (b) Yes
  25. 25.Write the ratio 20 : 25 in its simplest form. (a) 20 : 25 (b) 5 : 6 (c) 4 : 5 (d) 5 : 4
  26. 26.8 : 9 = 24 : ?
  27. 27.Are 6, 8, 21 and 28 in proportion? (a) No (b) Yes
  28. 28.1 : 7 = 4 : ?
  29. 29.Write the ratio 63 : 14 in its simplest form. (a) 9 : 2 (b) 63 : 14 (c) 10 : 3 (d) 2 : 9
  30. 30.1 : 2 = ? : 18
  31. 31.If 7 notebooks cost ₹133, how many rupees do 11 notebooks cost?
  32. 32.₹1120 is shared between Kabir and Rohan in the ratio 3 : 5. How many rupees does Rohan get?
  33. 33.₹840 is shared between Zoya and Dev in the ratio 5 : 9. How many rupees does Dev get?
  34. 34.2 : 3 = ? : 6
  35. 35.Write the ratio 28 : 21 in its simplest form. (a) 5 : 4 (b) 28 : 21 (c) 4 : 3 (d) 3 : 4
  36. 36.If 2 pens cost ₹118, how many rupees do 11 pens cost?
  37. 37.A class has 8 boys and 48 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 1 (b) 8 : 48 (c) 1 : 6 (d) 2 : 7
  38. 38.A class has 42 boys and 36 girls. What is the ratio of boys to girls in its simplest form? (a) 42 : 36 (b) 6 : 7 (c) 8 : 7 (d) 7 : 6
  39. 39.2 : 3 = ? : 24
  40. 40.If 6 mangoes cost ₹282, how many rupees do 5 mangoes cost?

Answer key

  1. 42
  2. 56
  3. No
  4. 4 : 7
  5. 320
  6. 24
  7. 990
  8. 800
  9. 2 : 3
  10. 3 : 8
  11. 144
  12. 48
  13. 21
  14. Yes
  15. 5 : 4
  16. 473
  17. 50
  18. 9 : 2
  19. 10
  20. 9 : 5
  21. Yes
  22. 4 : 1
  23. No
  24. Yes
  25. 4 : 5
  26. 27
  27. Yes
  28. 28
  29. 9 : 2
  30. 9
  31. 209
  32. 700
  33. 540
  34. 4
  35. 4 : 3
  36. 649
  37. 1 : 6
  38. 7 : 6
  39. 16
  40. 235

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