← 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 218 · 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.If 9 notebooks cost ₹207, how much do 11 notebooks cost? (a) ₹276 (b) ₹209 (c) ₹2277 (d) ₹253
  2. 2.₹126 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹63 (b) ₹108 (c) ₹18 (d) ₹126
  3. 3.If 9 notebooks cost ₹144, how much do 10 notebooks cost? (a) ₹145 (b) ₹176 (c) ₹160 (d) ₹1440
  4. 4.If 2 pens cost ₹14, how much do 4 pens cost? (a) ₹16 (b) ₹56 (c) ₹35 (d) ₹28
  5. 5.6 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 15 days (b) 4 days (c) 10 days (d) 14 days
  6. 6.₹360 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹180 (b) ₹210 (c) ₹150 (d) ₹30
  7. 7.₹407 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹370 (b) ₹74 (c) ₹37 (d) ₹333
  8. 8.If 4 notebooks cost ₹36, how much do 8 notebooks cost? (a) ₹40 (b) ₹81 (c) ₹288 (d) ₹72
  9. 9.If 5 notebooks cost ₹20, how much do 8 notebooks cost? (a) ₹23 (b) ₹36 (c) ₹32 (d) ₹160
  10. 10.₹150 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹15 (b) ₹150 (c) ₹135 (d) ₹75
  11. 11.4 workers can build a wall in 9 days. How many days will 6 workers take, working at the same speed? (a) 7 days (b) 11 days (c) 5 days (d) 6 days
  12. 12.If 6 mangoes cost ₹96, how much do 2 mangoes cost? (a) ₹92 (b) ₹32 (c) ₹192 (d) ₹48
  13. 13.3 workers can build a wall in 10 days. How many days will 6 workers take, working at the same speed? (a) 5 days (b) 20 days (c) 13 days (d) 7 days
  14. 14.6 workers can build a wall in 4 days. How many days will 8 workers take, working at the same speed? (a) 2 days (b) 6 days (c) 4 days (d) 3 days
  15. 15.₹252 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹21 (b) ₹126 (c) ₹147 (d) ₹105
  16. 16.₹112 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹16 (b) ₹56 (c) ₹48 (d) ₹64
  17. 17.₹110 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹55 (b) ₹110 (c) ₹22 (d) ₹88
  18. 18.7 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 22 days (b) 21 days (c) 15 days (d) 9 days
  19. 19.₹390 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹150 (b) ₹195 (c) ₹30 (d) ₹240
  20. 20.₹51 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹17 (b) ₹51 (c) ₹35 (d) ₹34
  21. 21.₹112 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹56 (b) ₹8 (c) ₹72 (d) ₹40
  22. 22.9 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 28 days (b) 27 days (c) 26 days (d) 13 days
  23. 23.₹50 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹45 (b) ₹50 (c) ₹25 (d) ₹5
  24. 24.If 7 mangoes cost ₹63, how much do 8 mangoes cost? (a) ₹64 (b) ₹504 (c) ₹72 (d) ₹81
  25. 25.If 2 notebooks cost ₹40, how much do 11 notebooks cost? (a) ₹49 (b) ₹240 (c) ₹220 (d) ₹440
  26. 26.₹208 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹128 (b) ₹16 (c) ₹104 (d) ₹80
  27. 27.If 9 notebooks cost ₹45, how much do 5 notebooks cost? (a) ₹225 (b) ₹41 (c) ₹30 (d) ₹25
  28. 28.₹20 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹5 (b) ₹15 (c) ₹20 (d) ₹10
  29. 29.₹310 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹217 (b) ₹155 (c) ₹31 (d) ₹93
  30. 30.₹410 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹205 (b) ₹41 (c) ₹123 (d) ₹287
  31. 31.If 2 mangoes cost ₹34, how much do 9 mangoes cost? (a) ₹306 (b) ₹41 (c) ₹153 (d) ₹170
  32. 32.3 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 5 days (c) 7 days (d) 4 days
  33. 33.8 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 4 days (b) 12 days (c) 17 days (d) 16 days
  34. 34.₹99 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹44 (b) ₹66 (c) ₹55 (d) ₹11
  35. 35.If 8 notebooks cost ₹128, how much do 6 notebooks cost? (a) ₹768 (b) ₹96 (c) ₹112 (d) ₹126
  36. 36.If 7 mangoes cost ₹84, how much do 8 mangoes cost? (a) ₹96 (b) ₹108 (c) ₹85 (d) ₹672
  37. 37.4 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 24 days (b) 14 days (c) 6 days (d) 10 days
  38. 38.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 4 days (b) 5 days (c) 6 days (d) 9 days
  39. 39.5 workers can build a wall in 12 days. How many days will 10 workers take, working at the same speed? (a) 6 days (b) 24 days (c) 7 days (d) 17 days
  40. 40.If 7 pens cost ₹70, how much do 5 pens cost? (a) ₹68 (b) ₹60 (c) ₹350 (d) ₹50

Answer key

  1. ₹253
  2. ₹108
  3. ₹160
  4. ₹28
  5. 14 days
  6. ₹210
  7. ₹333
  8. ₹72
  9. ₹32
  10. ₹135
  11. 6 days
  12. ₹32
  13. 5 days
  14. 3 days
  15. ₹147
  16. ₹64
  17. ₹88
  18. 21 days
  19. ₹240
  20. ₹34
  21. ₹72
  22. 27 days
  23. ₹45
  24. ₹72
  25. ₹220
  26. ₹128
  27. ₹25
  28. ₹15
  29. ₹217
  30. ₹287
  31. ₹153
  32. 9 days
  33. 16 days
  34. ₹55
  35. ₹96
  36. ₹96
  37. 24 days
  38. 5 days
  39. 6 days
  40. ₹50

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