← 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 121 · 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.₹153 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹17 (b) ₹85 (c) ₹102 (d) ₹68
  2. 2.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 49 days (c) 4 days (d) 9 days
  3. 3.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 8 days (b) 15 days (c) 7 days (d) 6 days
  4. 4.If 6 notebooks cost ₹120, how much do 3 notebooks cost? (a) ₹80 (b) ₹360 (c) ₹117 (d) ₹60
  5. 5.If 6 pens cost ₹30, how much do 4 pens cost? (a) ₹28 (b) ₹20 (c) ₹120 (d) ₹25
  6. 6.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 27 days (b) 15 days (c) 4 days (d) 3 days
  7. 7.If 2 mangoes cost ₹42, how much do 11 mangoes cost? (a) ₹252 (b) ₹462 (c) ₹51 (d) ₹231
  8. 8.₹56 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹14 (b) ₹56 (c) ₹28 (d) ₹42
  9. 9.If 2 pens cost ₹32, how much do 12 pens cost? (a) ₹42 (b) ₹208 (c) ₹384 (d) ₹192
  10. 10.₹70 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹35 (b) ₹63 (c) ₹7 (d) ₹70
  11. 11.₹144 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹54 (b) ₹72 (c) ₹90 (d) ₹18
  12. 12.₹48 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹40 (b) ₹48 (c) ₹8 (d) ₹24
  13. 13.If 6 kites cost ₹36, how much do 7 kites cost? (a) ₹252 (b) ₹42 (c) ₹48 (d) ₹37
  14. 14.6 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 15 days (b) 12 days (c) 11 days (d) 13 days
  15. 15.₹245 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹196 (b) ₹245 (c) ₹197 (d) ₹49
  16. 16.₹168 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹84 (b) ₹14 (c) ₹98 (d) ₹70
  17. 17.If 4 mangoes cost ₹88, how much do 8 mangoes cost? (a) ₹92 (b) ₹176 (c) ₹704 (d) ₹198
  18. 18.If 3 pens cost ₹63, how much do 2 pens cost? (a) ₹63 (b) ₹62 (c) ₹126 (d) ₹42
  19. 19.4 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 5 days (b) 3 days (c) 4 days (d) 18 days
  20. 20.9 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 7 days (b) 19 days (c) 39 days (d) 40 days
  21. 21.If 2 notebooks cost ₹28, how much do 8 notebooks cost? (a) ₹224 (b) ₹34 (c) ₹112 (d) ₹126
  22. 22.6 workers can build a wall in 11 days. How many days will 3 workers take, working at the same speed? (a) 22 days (b) 14 days (c) 23 days (d) 8 days
  23. 23.8 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 8 days (b) 9 days (c) 16 days (d) 18 days
  24. 24.6 workers can build a wall in 14 days. How many days will 4 workers take, working at the same speed? (a) 22 days (b) 16 days (c) 21 days (d) 12 days
  25. 25.If 9 mangoes cost ₹27, how much do 10 mangoes cost? (a) ₹270 (b) ₹33 (c) ₹30 (d) ₹28
  26. 26.7 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 7 days (b) 8 days (c) 11 days (d) 6 days
  27. 27.If 8 notebooks cost ₹120, how much do 7 notebooks cost? (a) ₹105 (b) ₹840 (c) ₹120 (d) ₹119
  28. 28.₹143 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹65 (b) ₹13 (c) ₹78 (d) ₹91
  29. 29.6 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 26 days (c) 27 days (d) 10 days
  30. 30.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 15 days (c) 26 days (d) 27 days
  31. 31.If 8 pens cost ₹160, how much do 11 pens cost? (a) ₹240 (b) ₹1760 (c) ₹163 (d) ₹220
  32. 32.₹224 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹196 (b) ₹224 (c) ₹112 (d) ₹28
  33. 33.If 3 pens cost ₹33, how much do 4 pens cost? (a) ₹55 (b) ₹44 (c) ₹132 (d) ₹34
  34. 34.If 5 pens cost ₹100, how much do 4 pens cost? (a) ₹400 (b) ₹80 (c) ₹99 (d) ₹100
  35. 35.₹468 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹144 (b) ₹36 (c) ₹234 (d) ₹324
  36. 36.9 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 4 days (b) 7 days (c) 3 days (d) 1 day
  37. 37.₹336 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹168 (b) ₹144 (c) ₹48 (d) ₹192
  38. 38.₹286 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹130 (b) ₹26 (c) ₹143 (d) ₹156
  39. 39.₹220 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹22 (b) ₹110 (c) ₹154 (d) ₹66
  40. 40.₹50 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹15 (b) ₹35 (c) ₹5 (d) ₹25

Answer key

  1. ₹85
  2. 49 days
  3. 7 days
  4. ₹60
  5. ₹20
  6. 3 days
  7. ₹231
  8. ₹42
  9. ₹192
  10. ₹63
  11. ₹90
  12. ₹40
  13. ₹42
  14. 12 days
  15. ₹196
  16. ₹98
  17. ₹176
  18. ₹42
  19. 4 days
  20. 39 days
  21. ₹112
  22. 22 days
  23. 8 days
  24. 21 days
  25. ₹30
  26. 7 days
  27. ₹105
  28. ₹78
  29. 26 days
  30. 26 days
  31. ₹220
  32. ₹196
  33. ₹44
  34. ₹80
  35. ₹324
  36. 3 days
  37. ₹192
  38. ₹156
  39. ₹154
  40. ₹35

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