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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 305 · 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.Write the ratio 12 : 16 in its simplest form. (a) 4 : 5 (b) 4 : 3 (c) 3 : 4 (d) 12 : 16
  2. 2.Write the ratio 32 : 36 in its simplest form. (a) 9 : 8 (b) 8 : 9 (c) 32 : 36 (d) 9 : 10
  3. 3.A bus goes 110 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  4. 4.If 2 pens cost ₹10, how many rupees do 4 pens cost?
  5. 5.2 : 5 = ? : 20
  6. 6.Are 2, 4, 5 and 12 in proportion? (a) Yes (b) No
  7. 7.Write the ratio 15 : 5 in its simplest form. (a) 4 : 2 (b) 3 : 1 (c) 15 : 5 (d) 1 : 3
  8. 8.Are 10, 35, 18 and 63 in proportion? (a) Yes (b) No
  9. 9.A train goes 70 km in 2 hours. At the same speed, how many km does it go in 6 hours?
  10. 10.7 : 8 = ? : 16
  11. 11.₹1050 is shared between Vivaan and Aditya in the ratio 3 : 4. How many rupees does Aditya get?
  12. 12.3 : 8 = 30 : ?
  13. 13.8 : 9 = 24 : ?
  14. 14.A bus goes 225 km in 3 hours. At the same speed, how many km does it go in 8 hours?
  15. 15.3 : 8 = 21 : ?
  16. 16.Write the ratio 49 : 14 in its simplest form. (a) 49 : 14 (b) 7 : 2 (c) 8 : 3 (d) 2 : 7
  17. 17.3 : 5 = 27 : ?
  18. 18.If 6 chocolates cost ₹174, how many rupees do 4 chocolates cost?
  19. 19.Write the ratio 21 : 12 in its simplest form. (a) 7 : 4 (b) 8 : 5 (c) 21 : 12 (d) 4 : 7
  20. 20.If 3 notebooks cost ₹75, how many rupees do 9 notebooks cost?
  21. 21.Are 12, 14, 48 and 59 in proportion? (a) Yes (b) No
  22. 22.A train goes 180 km in 4 hours. At the same speed, how many km does it go in 6 hours?
  23. 23.If 9 chocolates cost ₹405, how many rupees do 12 chocolates cost?
  24. 24.If 7 chocolates cost ₹420, how many rupees do 3 chocolates cost?
  25. 25.If 9 ice creams cost ₹72, how many rupees do 7 ice creams cost?
  26. 26.If 4 ice creams cost ₹160, how many rupees do 10 ice creams cost?
  27. 27.₹480 is shared between Tara and Isha in the ratio 1 : 5. How many rupees does Isha get?
  28. 28.A train goes 130 km in 2 hours. At the same speed, how many km does it go in 5 hours?
  29. 29.If 2 ice creams cost ₹38, how many rupees do 11 ice creams cost?
  30. 30.2 : 3 = ? : 9
  31. 31.Are 3, 15, 8 and 43 in proportion? (a) Yes (b) No
  32. 32.3 : 4 = ? : 28
  33. 33.A car goes 160 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  34. 34.If 6 ice creams cost ₹60, how many rupees do 8 ice creams cost?
  35. 35.A scooter goes 120 km in 4 hours. At the same speed, how many km does it go in 7 hours?
  36. 36.A train goes 210 km in 3 hours. At the same speed, how many km does it go in 7 hours?
  37. 37.If 5 pens cost ₹295, how many rupees do 3 pens cost?
  38. 38.₹2660 is shared between Dev and Saanvi in the ratio 5 : 9. How many rupees does Dev get?
  39. 39.Write the ratio 9 : 15 in its simplest form. (a) 5 : 3 (b) 3 : 5 (c) 4 : 6 (d) 9 : 15
  40. 40.Write the ratio 15 : 18 in its simplest form. (a) 6 : 5 (b) 6 : 7 (c) 15 : 18 (d) 5 : 6

Answer key

  1. 3 : 4
  2. 8 : 9
  3. 55
  4. 20
  5. 8
  6. No
  7. 3 : 1
  8. Yes
  9. 210
  10. 14
  11. 600
  12. 80
  13. 27
  14. 600
  15. 56
  16. 7 : 2
  17. 45
  18. 116
  19. 7 : 4
  20. 225
  21. No
  22. 270
  23. 540
  24. 180
  25. 56
  26. 400
  27. 400
  28. 325
  29. 209
  30. 6
  31. No
  32. 21
  33. 240
  34. 80
  35. 210
  36. 490
  37. 177
  38. 950
  39. 3 : 5
  40. 5 : 6

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