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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 66 · 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 15, 25, 12 and 22 in proportion? (a) No (b) Yes
  2. 2.₹560 is shared between Manav and Diya in the ratio 5 : 9. How many rupees does Manav get?
  3. 3.A scooter goes 80 km in 2 hours. At the same speed, how many km does it go in 8 hours?
  4. 4.₹980 is shared between Aditya and Nisha in the ratio 3 : 4. How many rupees does Nisha get?
  5. 5.3 : 8 = ? : 48
  6. 6.3 : 5 = 30 : ?
  7. 7.₹1950 is shared between Karan and Joseph in the ratio 6 : 7. How many rupees does Joseph get?
  8. 8.₹180 is shared between Kavya and Gurpreet in the ratio 1 : 8. How many rupees does Gurpreet get?
  9. 9.A class has 36 boys and 63 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 4 (b) 5 : 8 (c) 36 : 63 (d) 4 : 7
  10. 10.3 : 4 = ? : 32
  11. 11.Write the ratio 45 : 10 in its simplest form. (a) 9 : 2 (b) 2 : 9 (c) 10 : 3 (d) 45 : 10
  12. 12.Write the ratio 15 : 40 in its simplest form. (a) 3 : 8 (b) 4 : 9 (c) 15 : 40 (d) 8 : 3
  13. 13.If 3 chocolates cost ₹111, how many rupees do 10 chocolates cost?
  14. 14.Are 12, 21, 28 and 49 in proportion? (a) No (b) Yes
  15. 15.₹100 is shared between Rohan and Dev in the ratio 3 : 7. How many rupees does Dev get?
  16. 16.Write the ratio 2 : 6 in its simplest form. (a) 2 : 6 (b) 3 : 1 (c) 2 : 4 (d) 1 : 3
  17. 17.3 : 5 = ? : 20
  18. 18.4 : 5 = 32 : ?
  19. 19.If 8 notebooks cost ₹336, how many rupees do 6 notebooks cost?
  20. 20.Are 3, 24, 9 and 75 in proportion? (a) No (b) Yes
  21. 21.3 : 8 = 30 : ?
  22. 22.If 9 bus tickets cost ₹513, how many rupees do 2 bus tickets cost?
  23. 23.₹1690 is shared between Meera and Kavya in the ratio 6 : 7. How many rupees does Kavya get?
  24. 24.5 : 7 = 40 : ?
  25. 25.₹880 is shared between Pooja and Joseph in the ratio 3 : 8. How many rupees does Joseph get?
  26. 26.If 2 mangoes cost ₹82, how many rupees do 9 mangoes cost?
  27. 27.If 5 notebooks cost ₹95, how many rupees do 11 notebooks cost?
  28. 28.5 : 7 = 30 : ?
  29. 29.Write the ratio 16 : 14 in its simplest form. (a) 7 : 8 (b) 8 : 7 (c) 9 : 8 (d) 16 : 14
  30. 30.₹260 is shared between Arjun and Joseph in the ratio 5 : 8. How many rupees does Joseph get?
  31. 31.If 6 chocolates cost ₹96, how many rupees do 5 chocolates cost?
  32. 32.Write the ratio 49 : 35 in its simplest form. (a) 7 : 5 (b) 8 : 6 (c) 5 : 7 (d) 49 : 35
  33. 33.Are 4, 20, 2 and 10 in proportion? (a) No (b) Yes
  34. 34.7 : 8 = ? : 72
  35. 35.Are 12, 54, 8 and 36 in proportion? (a) No (b) Yes
  36. 36.If 8 pens cost ₹216, how many rupees do 9 pens cost?
  37. 37.A bus goes 270 km in 6 hours. At the same speed, how many km does it go in 8 hours?
  38. 38.If 6 ice creams cost ₹258, how many rupees do 3 ice creams cost?
  39. 39.Write the ratio 12 : 42 in its simplest form. (a) 12 : 42 (b) 7 : 2 (c) 3 : 8 (d) 2 : 7
  40. 40.If 9 notebooks cost ₹189, how many rupees do 8 notebooks cost?

Answer key

  1. No
  2. 200
  3. 320
  4. 560
  5. 18
  6. 50
  7. 1050
  8. 160
  9. 4 : 7
  10. 24
  11. 9 : 2
  12. 3 : 8
  13. 370
  14. Yes
  15. 70
  16. 1 : 3
  17. 12
  18. 40
  19. 252
  20. No
  21. 80
  22. 114
  23. 910
  24. 56
  25. 640
  26. 369
  27. 209
  28. 42
  29. 8 : 7
  30. 160
  31. 80
  32. 7 : 5
  33. Yes
  34. 63
  35. Yes
  36. 243
  37. 360
  38. 129
  39. 2 : 7
  40. 168

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