← 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 410 · 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. 1.9 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 2 days (b) 19 days (c) 12 days (d) 18 days
  2. 2.If 5 notebooks cost ₹85, how much do 3 notebooks cost? (a) ₹68 (b) ₹51 (c) ₹83 (d) ₹255
  3. 3.3 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 16 days (b) 13 days (c) 1 day (d) 2 days
  4. 4.If 2 notebooks cost ₹34, how much do 7 notebooks cost? (a) ₹238 (b) ₹119 (c) ₹39 (d) ₹136
  5. 5.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 15 days (b) 27 days (c) 4 days (d) 3 days
  6. 6.₹165 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹75 (b) ₹90 (c) ₹15 (d) ₹105
  7. 7.If 7 notebooks cost ₹168, how much do 11 notebooks cost? (a) ₹172 (b) ₹1848 (c) ₹264 (d) ₹288
  8. 8.6 workers can build a wall in 6 days. How many days will 12 workers take, working at the same speed? (a) 12 days (b) 3 days (c) 2 days (d) 4 days
  9. 9.If 4 kites cost ₹80, how much do 9 kites cost? (a) ₹180 (b) ₹720 (c) ₹85 (d) ₹200
  10. 10.9 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 55 days (c) 54 days (d) 5 days
  11. 11.If 9 notebooks cost ₹144, how much do 3 notebooks cost? (a) ₹138 (b) ₹48 (c) ₹432 (d) ₹64
  12. 12.If 2 pens cost ₹20, how much do 8 pens cost? (a) ₹90 (b) ₹160 (c) ₹80 (d) ₹26
  13. 13.If 8 pens cost ₹104, how much do 11 pens cost? (a) ₹107 (b) ₹156 (c) ₹1144 (d) ₹143
  14. 14.If 6 kites cost ₹90, how much do 11 kites cost? (a) ₹165 (b) ₹990 (c) ₹180 (d) ₹95
  15. 15.If 4 pens cost ₹96, how much do 6 pens cost? (a) ₹576 (b) ₹144 (c) ₹168 (d) ₹98
  16. 16.5 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 16 days (c) 15 days (d) 3 days
  17. 17.4 workers can build a wall in 9 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 18 days (c) 11 days (d) 7 days
  18. 18.6 workers can build a wall in 6 days. How many days will 4 workers take, working at the same speed? (a) 8 days (b) 10 days (c) 4 days (d) 9 days
  19. 19.₹351 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹313 (b) ₹351 (c) ₹39 (d) ₹312
  20. 20.If 2 kites cost ₹22, how much do 7 kites cost? (a) ₹27 (b) ₹88 (c) ₹77 (d) ₹154
  21. 21.4 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 10 days (b) 4 days (c) 3 days (d) 5 days
  22. 22.If 9 notebooks cost ₹54, how much do 6 notebooks cost? (a) ₹324 (b) ₹36 (c) ₹51 (d) ₹42
  23. 23.8 workers can build a wall in 9 days. How many days will 2 workers take, working at the same speed? (a) 3 days (b) 15 days (c) 37 days (d) 36 days
  24. 24.If 5 kites cost ₹90, how much do 6 kites cost? (a) ₹126 (b) ₹91 (c) ₹108 (d) ₹540
  25. 25.₹200 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹25 (b) ₹100 (c) ₹125 (d) ₹75
  26. 26.8 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 6 days (b) 16 days (c) 8 days (d) 24 days
  27. 27.₹406 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹261 (b) ₹29 (c) ₹203 (d) ₹145
  28. 28.If 5 pens cost ₹115, how much do 7 pens cost? (a) ₹117 (b) ₹805 (c) ₹161 (d) ₹184
  29. 29.If 7 pens cost ₹84, how much do 6 pens cost? (a) ₹83 (b) ₹84 (c) ₹504 (d) ₹72
  30. 30.If 5 kites cost ₹75, how much do 11 kites cost? (a) ₹180 (b) ₹165 (c) ₹81 (d) ₹825
  31. 31.If 4 kites cost ₹48, how much do 8 kites cost? (a) ₹384 (b) ₹96 (c) ₹52 (d) ₹108
  32. 32.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 11 days (b) 4 days (c) 3 days (d) 2 days
  33. 33.If 8 pens cost ₹24, how much do 11 pens cost? (a) ₹27 (b) ₹36 (c) ₹264 (d) ₹33
  34. 34.If 2 kites cost ₹20, how much do 10 kites cost? (a) ₹110 (b) ₹28 (c) ₹100 (d) ₹200
  35. 35.If 7 notebooks cost ₹77, how much do 5 notebooks cost? (a) ₹75 (b) ₹55 (c) ₹66 (d) ₹385
  36. 36.If 3 pens cost ₹33, how much do 6 pens cost? (a) ₹198 (b) ₹77 (c) ₹36 (d) ₹66
  37. 37.If 8 kites cost ₹120, how much do 2 kites cost? (a) ₹30 (b) ₹45 (c) ₹240 (d) ₹114
  38. 38.5 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 15 days (b) 16 days (c) 7 days (d) 11 days
  39. 39.If 3 kites cost ₹69, how much do 4 kites cost? (a) ₹92 (b) ₹70 (c) ₹115 (d) ₹276
  40. 40.₹140 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹112 (b) ₹140 (c) ₹28 (d) ₹70

Answer key

  1. 18 days
  2. ₹51
  3. 1 day
  4. ₹119
  5. 3 days
  6. ₹90
  7. ₹264
  8. 3 days
  9. ₹180
  10. 54 days
  11. ₹48
  12. ₹80
  13. ₹143
  14. ₹165
  15. ₹144
  16. 15 days
  17. 18 days
  18. 9 days
  19. ₹312
  20. ₹77
  21. 4 days
  22. ₹36
  23. 36 days
  24. ₹108
  25. ₹125
  26. 24 days
  27. ₹261
  28. ₹161
  29. ₹72
  30. ₹165
  31. ₹96
  32. 3 days
  33. ₹33
  34. ₹100
  35. ₹55
  36. ₹66
  37. ₹30
  38. 15 days
  39. ₹92
  40. ₹112

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