← Ratio and the unitary method lesson New set →

Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 133 · 40 questions
TalentJR

How to solve it (Go through one): Unitary: cost of one = total ÷ number; then multiply by how many you need. Ratio p : q of a total: one part = total ÷ (p + q); a share = its parts × one part. Workers and days go the opposite way: total work = workers × days; days = total work ÷ new number of workers.

NameDateTime takenScore ___ / 40
  1. 1.₹30 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹30 (b) ₹15 (c) ₹10 (d) ₹20
  2. 2.If 6 pens cost ₹114, how much do 3 pens cost? (a) ₹76 (b) ₹342 (c) ₹111 (d) ₹57
  3. 3.If 3 notebooks cost ₹75, how much do 4 notebooks cost? (a) ₹100 (b) ₹300 (c) ₹125 (d) ₹76
  4. 4.₹175 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹70 (b) ₹35 (c) ₹140 (d) ₹105
  5. 5.If 3 pens cost ₹39, how much do 8 pens cost? (a) ₹117 (b) ₹312 (c) ₹44 (d) ₹104
  6. 6.If 8 pens cost ₹144, how much do 9 pens cost? (a) ₹1296 (b) ₹180 (c) ₹162 (d) ₹145
  7. 7.If 4 kites cost ₹48, how much do 5 kites cost? (a) ₹240 (b) ₹60 (c) ₹49 (d) ₹72
  8. 8.4 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 6 days (b) 16 days (c) 4 days (d) 10 days
  9. 9.If 4 kites cost ₹24, how much do 11 kites cost? (a) ₹31 (b) ₹66 (c) ₹264 (d) ₹72
  10. 10.If 4 mangoes cost ₹84, how much do 2 mangoes cost? (a) ₹168 (b) ₹63 (c) ₹82 (d) ₹42
  11. 11.₹84 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹54 (b) ₹6 (c) ₹30 (d) ₹42
  12. 12.9 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 3 days (b) 28 days (c) 15 days (d) 27 days
  13. 13.If 6 pens cost ₹144, how much do 3 pens cost? (a) ₹432 (b) ₹72 (c) ₹96 (d) ₹141
  14. 14.If 9 notebooks cost ₹144, how much do 2 notebooks cost? (a) ₹288 (b) ₹32 (c) ₹48 (d) ₹137
  15. 15.If 7 kites cost ₹175, how much do 11 kites cost? (a) ₹1925 (b) ₹300 (c) ₹179 (d) ₹275
  16. 16.7 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 22 days (b) 5 days (c) 13 days (d) 21 days
  17. 17.3 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 9 days (b) 13 days (c) 16 days (d) 11 days
  18. 18.If 5 notebooks cost ₹75, how much do 10 notebooks cost? (a) ₹80 (b) ₹750 (c) ₹165 (d) ₹150
  19. 19.₹55 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹45 (b) ₹15 (c) ₹5 (d) ₹40
  20. 20.If 6 pens cost ₹72, how much do 5 pens cost? (a) ₹72 (b) ₹360 (c) ₹60 (d) ₹71
  21. 21.If 9 pens cost ₹72, how much do 5 pens cost? (a) ₹48 (b) ₹360 (c) ₹40 (d) ₹68
  22. 22.8 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 17 days (b) 5 days (c) 45 days (d) 44 days
  23. 23.9 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 19 days (b) 7 days (c) 40 days (d) 39 days
  24. 24.₹88 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹32 (b) ₹56 (c) ₹44 (d) ₹8
  25. 25.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 3 days (b) 2 days (c) 7 days (d) 4 days
  26. 26.If 6 notebooks cost ₹78, how much do 7 notebooks cost? (a) ₹91 (b) ₹546 (c) ₹79 (d) ₹104
  27. 27.If 2 notebooks cost ₹26, how much do 11 notebooks cost? (a) ₹143 (b) ₹156 (c) ₹35 (d) ₹286
  28. 28.4 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 4 days (b) 5 days (c) 36 days (d) 20 days
  29. 29.If 3 mangoes cost ₹57, how much do 4 mangoes cost? (a) ₹228 (b) ₹58 (c) ₹95 (d) ₹76
  30. 30.If 3 kites cost ₹75, how much do 11 kites cost? (a) ₹825 (b) ₹300 (c) ₹83 (d) ₹275
  31. 31.4 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 3 days (b) 5 days (c) 4 days (d) 6 days
  32. 32.8 workers can build a wall in 14 days. How many days will 4 workers take, working at the same speed? (a) 28 days (b) 10 days (c) 18 days (d) 7 days
  33. 33.If 8 pens cost ₹56, how much do 6 pens cost? (a) ₹54 (b) ₹42 (c) ₹336 (d) ₹49
  34. 34.If 5 kites cost ₹80, how much do 3 kites cost? (a) ₹78 (b) ₹64 (c) ₹240 (d) ₹48
  35. 35.₹121 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹55 (b) ₹11 (c) ₹66 (d) ₹77
  36. 36.6 workers can build a wall in 10 days. How many days will 4 workers take, working at the same speed? (a) 8 days (b) 12 days (c) 15 days (d) 16 days
  37. 37.If 8 kites cost ₹128, how much do 11 kites cost? (a) ₹131 (b) ₹176 (c) ₹1408 (d) ₹192
  38. 38.If 9 notebooks cost ₹45, how much do 12 notebooks cost? (a) ₹65 (b) ₹60 (c) ₹540 (d) ₹48
  39. 39.8 workers can build a wall in 6 days. How many days will 4 workers take, working at the same speed? (a) 3 days (b) 10 days (c) 2 days (d) 12 days
  40. 40.₹315 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹180 (b) ₹135 (c) ₹225 (d) ₹45

Answer key

  1. ₹20
  2. ₹57
  3. ₹100
  4. ₹105
  5. ₹104
  6. ₹162
  7. ₹60
  8. 16 days
  9. ₹66
  10. ₹42
  11. ₹54
  12. 27 days
  13. ₹72
  14. ₹32
  15. ₹275
  16. 21 days
  17. 9 days
  18. ₹150
  19. ₹40
  20. ₹60
  21. ₹40
  22. 44 days
  23. 39 days
  24. ₹56
  25. 3 days
  26. ₹91
  27. ₹143
  28. 4 days
  29. ₹76
  30. ₹275
  31. 4 days
  32. 28 days
  33. ₹42
  34. ₹48
  35. ₹66
  36. 15 days
  37. ₹176
  38. ₹60
  39. 12 days
  40. ₹180

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad