← 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 494 · 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. 1.8 workers can build a wall in 15 days. How many days will 2 workers take, working at the same speed? (a) 61 days (b) 21 days (c) 9 days (d) 60 days
  2. 2.If 2 mangoes cost ₹30, how much do 7 mangoes cost? (a) ₹120 (b) ₹210 (c) ₹35 (d) ₹105
  3. 3.If 7 pens cost ₹98, how much do 4 pens cost? (a) ₹95 (b) ₹70 (c) ₹392 (d) ₹56
  4. 4.7 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 11 days (b) 15 days (c) 14 days (d) 5 days
  5. 5.If 3 notebooks cost ₹33, how much do 6 notebooks cost? (a) ₹66 (b) ₹77 (c) ₹198 (d) ₹36
  6. 6.If 6 mangoes cost ₹114, how much do 2 mangoes cost? (a) ₹228 (b) ₹57 (c) ₹110 (d) ₹38
  7. 7.8 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 7 days (b) 33 days (c) 17 days (d) 32 days
  8. 8.If 2 mangoes cost ₹12, how much do 4 mangoes cost? (a) ₹24 (b) ₹14 (c) ₹48 (d) ₹30
  9. 9.If 2 pens cost ₹12, how much do 12 pens cost? (a) ₹72 (b) ₹78 (c) ₹144 (d) ₹22
  10. 10.₹221 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹153 (b) ₹85 (c) ₹136 (d) ₹17
  11. 11.If 8 kites cost ₹64, how much do 2 kites cost? (a) ₹16 (b) ₹24 (c) ₹58 (d) ₹128
  12. 12.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 6 days (b) 5 days (c) 9 days (d) 4 days
  13. 13.4 workers can build a wall in 14 days. How many days will 8 workers take, working at the same speed? (a) 28 days (b) 10 days (c) 7 days (d) 18 days
  14. 14.₹275 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹75 (b) ₹25 (c) ₹225 (d) ₹200
  15. 15.₹45 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹41 (b) ₹5 (c) ₹40 (d) ₹45
  16. 16.5 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 6 days (b) 17 days (c) 4 days (d) 5 days
  17. 17.If 5 mangoes cost ₹40, how much do 11 mangoes cost? (a) ₹46 (b) ₹88 (c) ₹440 (d) ₹96
  18. 18.₹98 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹63 (b) ₹7 (c) ₹35 (d) ₹49
  19. 19.₹266 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹114 (b) ₹152 (c) ₹133 (d) ₹38
  20. 20.₹504 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹294 (b) ₹42 (c) ₹252 (d) ₹210
  21. 21.If 6 pens cost ₹126, how much do 11 pens cost? (a) ₹231 (b) ₹131 (c) ₹252 (d) ₹1386
  22. 22.8 workers can build a wall in 7 days. How many days will 4 workers take, working at the same speed? (a) 14 days (b) 3 days (c) 11 days (d) 15 days
  23. 23.₹390 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹195 (b) ₹240 (c) ₹30 (d) ₹150
  24. 24.₹207 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹23 (b) ₹92 (c) ₹138 (d) ₹115
  25. 25.9 workers can build a wall in 14 days. How many days will 3 workers take, working at the same speed? (a) 20 days (b) 43 days (c) 42 days (d) 8 days
  26. 26.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 7 days (d) 2 days
  27. 27.If 5 pens cost ₹95, how much do 3 pens cost? (a) ₹93 (b) ₹285 (c) ₹57 (d) ₹76
  28. 28.8 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 56 days (b) 8 days (c) 57 days (d) 20 days
  29. 29.₹143 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹26 (b) ₹130 (c) ₹13 (d) ₹117
  30. 30.If 2 notebooks cost ₹50, how much do 3 notebooks cost? (a) ₹75 (b) ₹150 (c) ₹100 (d) ₹51
  31. 31.₹504 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹36 (b) ₹324 (c) ₹252 (d) ₹180
  32. 32.4 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 11 days (b) 17 days (c) 9 days (d) 8 days
  33. 33.8 workers can build a wall in 11 days. How many days will 4 workers take, working at the same speed? (a) 23 days (b) 7 days (c) 15 days (d) 22 days
  34. 34.₹70 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹49 (b) ₹7 (c) ₹35 (d) ₹21
  35. 35.If 2 pens cost ₹14, how much do 6 pens cost? (a) ₹49 (b) ₹18 (c) ₹84 (d) ₹42
  36. 36.4 workers can build a wall in 12 days. How many days will 8 workers take, working at the same speed? (a) 6 days (b) 16 days (c) 8 days (d) 24 days
  37. 37.₹168 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹63 (b) ₹84 (c) ₹21 (d) ₹105
  38. 38.If 8 kites cost ₹192, how much do 5 kites cost? (a) ₹960 (b) ₹120 (c) ₹189 (d) ₹144
  39. 39.If 5 kites cost ₹95, how much do 10 kites cost? (a) ₹950 (b) ₹100 (c) ₹209 (d) ₹190
  40. 40.If 4 kites cost ₹20, how much do 8 kites cost? (a) ₹40 (b) ₹160 (c) ₹24 (d) ₹45

Answer key

  1. 60 days
  2. ₹105
  3. ₹56
  4. 14 days
  5. ₹66
  6. ₹38
  7. 32 days
  8. ₹24
  9. ₹72
  10. ₹136
  11. ₹16
  12. 5 days
  13. 7 days
  14. ₹200
  15. ₹40
  16. 5 days
  17. ₹88
  18. ₹63
  19. ₹152
  20. ₹294
  21. ₹231
  22. 14 days
  23. ₹240
  24. ₹115
  25. 42 days
  26. 3 days
  27. ₹57
  28. 56 days
  29. ₹117
  30. ₹75
  31. ₹324
  32. 8 days
  33. 22 days
  34. ₹49
  35. ₹42
  36. 6 days
  37. ₹105
  38. ₹120
  39. ₹190
  40. ₹40

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