← 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 422 · 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.₹252 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹28 (b) ₹126 (c) ₹112 (d) ₹140
  2. 2.If 8 notebooks cost ₹72, how much do 11 notebooks cost? (a) ₹75 (b) ₹108 (c) ₹99 (d) ₹792
  3. 3.4 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 8 days (b) 7 days (c) 9 days (d) 5 days
  4. 4.If 8 kites cost ₹176, how much do 9 kites cost? (a) ₹177 (b) ₹220 (c) ₹198 (d) ₹1584
  5. 5.If 5 mangoes cost ₹95, how much do 4 mangoes cost? (a) ₹380 (b) ₹94 (c) ₹95 (d) ₹76
  6. 6.If 6 mangoes cost ₹96, how much do 5 mangoes cost? (a) ₹95 (b) ₹80 (c) ₹96 (d) ₹480
  7. 7.If 2 kites cost ₹32, how much do 5 kites cost? (a) ₹160 (b) ₹80 (c) ₹35 (d) ₹96
  8. 8.8 workers can build a wall in 14 days. How many days will 4 workers take, working at the same speed? (a) 7 days (b) 18 days (c) 28 days (d) 10 days
  9. 9.If 7 notebooks cost ₹98, how much do 2 notebooks cost? (a) ₹42 (b) ₹28 (c) ₹196 (d) ₹93
  10. 10.8 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 45 days (b) 17 days (c) 5 days (d) 44 days
  11. 11.₹490 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹315 (b) ₹245 (c) ₹35 (d) ₹175
  12. 12.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 7 days (b) 2 days (c) 4 days (d) 3 days
  13. 13.If 2 mangoes cost ₹14, how much do 5 mangoes cost? (a) ₹42 (b) ₹17 (c) ₹70 (d) ₹35
  14. 14.If 2 mangoes cost ₹42, how much do 10 mangoes cost? (a) ₹231 (b) ₹420 (c) ₹210 (d) ₹50
  15. 15.If 7 notebooks cost ₹28, how much do 5 notebooks cost? (a) ₹140 (b) ₹26 (c) ₹20 (d) ₹24
  16. 16.6 workers can build a wall in 9 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 3 days (c) 27 days (d) 5 days
  17. 17.4 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 12 days (b) 28 days (c) 16 days (d) 7 days
  18. 18.9 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 10 days (b) 8 days (c) 5 days (d) 9 days
  19. 19.₹207 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹115 (b) ₹138 (c) ₹92 (d) ₹23
  20. 20.If 5 pens cost ₹75, how much do 7 pens cost? (a) ₹525 (b) ₹105 (c) ₹77 (d) ₹120
  21. 21.₹272 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹34 (b) ₹272 (c) ₹238 (d) ₹136
  22. 22.₹95 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹95 (b) ₹19 (c) ₹77 (d) ₹76
  23. 23.₹460 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹414 (b) ₹460 (c) ₹230 (d) ₹46
  24. 24.₹165 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹60 (b) ₹15 (c) ₹120 (d) ₹105
  25. 25.If 9 kites cost ₹72, how much do 12 kites cost? (a) ₹96 (b) ₹864 (c) ₹104 (d) ₹75
  26. 26.₹330 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹60 (b) ₹165 (c) ₹270 (d) ₹30
  27. 27.₹306 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹136 (b) ₹170 (c) ₹153 (d) ₹34
  28. 28.9 workers can build a wall in 11 days. How many days will 3 workers take, working at the same speed? (a) 17 days (b) 34 days (c) 33 days (d) 5 days
  29. 29.If 2 pens cost ₹46, how much do 11 pens cost? (a) ₹55 (b) ₹276 (c) ₹506 (d) ₹253
  30. 30.If 2 kites cost ₹26, how much do 5 kites cost? (a) ₹78 (b) ₹65 (c) ₹130 (d) ₹29
  31. 31.If 7 notebooks cost ₹77, how much do 6 notebooks cost? (a) ₹77 (b) ₹66 (c) ₹462 (d) ₹76
  32. 32.4 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 6 days (b) 4 days (c) 16 days (d) 10 days
  33. 33.₹279 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹31 (b) ₹249 (c) ₹279 (d) ₹248
  34. 34.6 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 5 days (b) 7 days (c) 8 days (d) 6 days
  35. 35.If 2 notebooks cost ₹20, how much do 4 notebooks cost? (a) ₹50 (b) ₹80 (c) ₹22 (d) ₹40
  36. 36.If 6 pens cost ₹66, how much do 4 pens cost? (a) ₹64 (b) ₹264 (c) ₹55 (d) ₹44
  37. 37.7 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 13 days (b) 5 days (c) 22 days (d) 21 days
  38. 38.If 2 pens cost ₹8, how much do 8 pens cost? (a) ₹36 (b) ₹64 (c) ₹14 (d) ₹32
  39. 39.If 7 pens cost ₹98, how much do 8 pens cost? (a) ₹99 (b) ₹112 (c) ₹126 (d) ₹784
  40. 40.₹104 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹65 (b) ₹52 (c) ₹13 (d) ₹39

Answer key

  1. ₹140
  2. ₹99
  3. 8 days
  4. ₹198
  5. ₹76
  6. ₹80
  7. ₹80
  8. 28 days
  9. ₹28
  10. 44 days
  11. ₹315
  12. 3 days
  13. ₹35
  14. ₹210
  15. ₹20
  16. 27 days
  17. 28 days
  18. 9 days
  19. ₹115
  20. ₹105
  21. ₹238
  22. ₹76
  23. ₹414
  24. ₹105
  25. ₹96
  26. ₹270
  27. ₹170
  28. 33 days
  29. ₹253
  30. ₹65
  31. ₹66
  32. 16 days
  33. ₹248
  34. 6 days
  35. ₹40
  36. ₹44
  37. 21 days
  38. ₹32
  39. ₹112
  40. ₹65

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