← 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 927 · 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.₹333 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹296 (b) ₹74 (c) ₹37 (d) ₹259
  2. 2.₹135 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹90 (b) ₹60 (c) ₹15 (d) ₹75
  3. 3.₹258 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹43 (b) ₹215 (c) ₹129 (d) ₹258
  4. 4.3 workers can build a wall in 15 days. How many days will 9 workers take, working at the same speed? (a) 21 days (b) 9 days (c) 45 days (d) 5 days
  5. 5.If 7 pens cost ₹112, how much do 5 pens cost? (a) ₹110 (b) ₹96 (c) ₹80 (d) ₹560
  6. 6.5 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 6 days (b) 5 days (c) 15 days (d) 20 days
  7. 7.If 6 notebooks cost ₹30, how much do 11 notebooks cost? (a) ₹330 (b) ₹35 (c) ₹60 (d) ₹55
  8. 8.₹259 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹185 (b) ₹111 (c) ₹37 (d) ₹148
  9. 9.If 3 kites cost ₹57, how much do 4 kites cost? (a) ₹228 (b) ₹58 (c) ₹76 (d) ₹95
  10. 10.₹168 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹168 (b) ₹21 (c) ₹147 (d) ₹84
  11. 11.8 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 7 days (b) 8 days (c) 2 days (d) 9 days
  12. 12.If 3 pens cost ₹27, how much do 8 pens cost? (a) ₹216 (b) ₹72 (c) ₹32 (d) ₹81
  13. 13.4 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 23 days (c) 22 days (d) 9 days
  14. 14.₹84 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹12 (b) ₹72 (c) ₹84 (d) ₹42
  15. 15.If 3 notebooks cost ₹24, how much do 12 notebooks cost? (a) ₹33 (b) ₹104 (c) ₹288 (d) ₹96
  16. 16.6 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 10 days (b) 2 days (c) 3 days (d) 8 days
  17. 17.₹287 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹41 (b) ₹164 (c) ₹205 (d) ₹123
  18. 18.If 5 notebooks cost ₹75, how much do 8 notebooks cost? (a) ₹600 (b) ₹78 (c) ₹120 (d) ₹135
  19. 19.If 9 kites cost ₹99, how much do 12 kites cost? (a) ₹102 (b) ₹132 (c) ₹143 (d) ₹1188
  20. 20.₹352 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹44 (b) ₹176 (c) ₹308 (d) ₹352
  21. 21.₹276 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹23 (b) ₹161 (c) ₹115 (d) ₹138
  22. 22.6 workers can build a wall in 10 days. How many days will 3 workers take, working at the same speed? (a) 5 days (b) 7 days (c) 20 days (d) 13 days
  23. 23.5 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 7 days (b) 15 days (c) 11 days (d) 16 days
  24. 24.If 8 pens cost ₹24, how much do 4 pens cost? (a) ₹12 (b) ₹15 (c) ₹20 (d) ₹96
  25. 25.If 3 notebooks cost ₹18, how much do 8 notebooks cost? (a) ₹54 (b) ₹23 (c) ₹144 (d) ₹48
  26. 26.If 9 mangoes cost ₹144, how much do 5 mangoes cost? (a) ₹80 (b) ₹720 (c) ₹96 (d) ₹140
  27. 27.If 7 mangoes cost ₹91, how much do 2 mangoes cost? (a) ₹26 (b) ₹182 (c) ₹39 (d) ₹86
  28. 28.If 4 mangoes cost ₹92, how much do 11 mangoes cost? (a) ₹276 (b) ₹253 (c) ₹99 (d) ₹1012
  29. 29.₹220 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹154 (b) ₹22 (c) ₹66 (d) ₹110
  30. 30.If 8 mangoes cost ₹72, how much do 9 mangoes cost? (a) ₹81 (b) ₹648 (c) ₹73 (d) ₹90
  31. 31.6 workers can build a wall in 14 days. How many days will 4 workers take, working at the same speed? (a) 16 days (b) 21 days (c) 12 days (d) 22 days
  32. 32.₹77 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹7 (b) ₹49 (c) ₹56 (d) ₹28
  33. 33.4 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 12 days (c) 3 days (d) 8 days
  34. 34.8 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 56 days (b) 57 days (c) 8 days (d) 20 days
  35. 35.If 9 mangoes cost ₹207, how much do 10 mangoes cost? (a) ₹2070 (b) ₹208 (c) ₹253 (d) ₹230
  36. 36.₹80 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹60 (b) ₹20 (c) ₹80 (d) ₹40
  37. 37.₹308 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹44 (b) ₹132 (c) ₹154 (d) ₹176
  38. 38.If 7 pens cost ₹175, how much do 10 pens cost? (a) ₹250 (b) ₹275 (c) ₹178 (d) ₹1750
  39. 39.If 8 kites cost ₹48, how much do 6 kites cost? (a) ₹288 (b) ₹46 (c) ₹36 (d) ₹42
  40. 40.₹100 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹10 (b) ₹50 (c) ₹30 (d) ₹70

Answer key

  1. ₹259
  2. ₹75
  3. ₹215
  4. 5 days
  5. ₹80
  6. 5 days
  7. ₹55
  8. ₹148
  9. ₹76
  10. ₹147
  11. 8 days
  12. ₹72
  13. 22 days
  14. ₹72
  15. ₹96
  16. 2 days
  17. ₹164
  18. ₹120
  19. ₹132
  20. ₹308
  21. ₹161
  22. 20 days
  23. 15 days
  24. ₹12
  25. ₹48
  26. ₹80
  27. ₹26
  28. ₹253
  29. ₹154
  30. ₹81
  31. 21 days
  32. ₹49
  33. 12 days
  34. 56 days
  35. ₹230
  36. ₹60
  37. ₹176
  38. ₹250
  39. ₹36
  40. ₹70

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