← 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 84 · 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.₹182 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹78 (b) ₹104 (c) ₹26 (d) ₹91
  2. 2.If 8 pens cost ₹56, how much do 10 pens cost? (a) ₹77 (b) ₹70 (c) ₹58 (d) ₹560
  3. 3.If 9 mangoes cost ₹180, how much do 7 mangoes cost? (a) ₹178 (b) ₹1260 (c) ₹140 (d) ₹160
  4. 4.₹32 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹24 (b) ₹8 (c) ₹16 (d) ₹32
  5. 5.If 6 mangoes cost ₹90, how much do 7 mangoes cost? (a) ₹91 (b) ₹630 (c) ₹120 (d) ₹105
  6. 6.9 workers can build a wall in 14 days. How many days will 6 workers take, working at the same speed? (a) 11 days (b) 21 days (c) 17 days (d) 22 days
  7. 7.3 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) 3 days (d) 4 days
  8. 8.5 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
  9. 9.If 7 mangoes cost ₹119, how much do 6 mangoes cost? (a) ₹118 (b) ₹102 (c) ₹714 (d) ₹119
  10. 10.If 6 pens cost ₹72, how much do 7 pens cost? (a) ₹73 (b) ₹504 (c) ₹96 (d) ₹84
  11. 11.If 6 pens cost ₹108, how much do 8 pens cost? (a) ₹110 (b) ₹162 (c) ₹864 (d) ₹144
  12. 12.₹81 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹72 (b) ₹18 (c) ₹63 (d) ₹9
  13. 13.₹120 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹40 (b) ₹60 (c) ₹120 (d) ₹80
  14. 14.8 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 9 days (b) 8 days (c) 7 days (d) 2 days
  15. 15.If 6 notebooks cost ₹90, how much do 7 notebooks cost? (a) ₹105 (b) ₹630 (c) ₹120 (d) ₹91
  16. 16.If 2 pens cost ₹38, how much do 6 pens cost? (a) ₹114 (b) ₹228 (c) ₹133 (d) ₹42
  17. 17.If 5 notebooks cost ₹60, how much do 10 notebooks cost? (a) ₹132 (b) ₹65 (c) ₹120 (d) ₹600
  18. 18.₹198 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹90 (b) ₹18 (c) ₹99 (d) ₹108
  19. 19.If 2 kites cost ₹10, how much do 5 kites cost? (a) ₹25 (b) ₹50 (c) ₹30 (d) ₹13
  20. 20.₹360 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹180 (b) ₹80 (c) ₹280 (d) ₹40
  21. 21.₹396 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹88 (b) ₹198 (c) ₹44 (d) ₹308
  22. 22.If 8 mangoes cost ₹160, how much do 3 mangoes cost? (a) ₹155 (b) ₹480 (c) ₹80 (d) ₹60
  23. 23.5 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 13 days (b) 4 days (c) 6 days (d) 5 days
  24. 24.If 2 pens cost ₹10, how much do 8 pens cost? (a) ₹45 (b) ₹40 (c) ₹80 (d) ₹16
  25. 25.4 workers can build a wall in 10 days. How many days will 8 workers take, working at the same speed? (a) 6 days (b) 5 days (c) 14 days (d) 20 days
  26. 26.If 5 kites cost ₹80, how much do 6 kites cost? (a) ₹81 (b) ₹96 (c) ₹480 (d) ₹112
  27. 27.4 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 11 days (b) 9 days (c) 8 days (d) 17 days
  28. 28.5 workers can build a wall in 12 days. How many days will 10 workers take, working at the same speed? (a) 24 days (b) 17 days (c) 7 days (d) 6 days
  29. 29.If 3 pens cost ₹60, how much do 9 pens cost? (a) ₹540 (b) ₹200 (c) ₹180 (d) ₹66
  30. 30.If 3 notebooks cost ₹15, how much do 5 notebooks cost? (a) ₹17 (b) ₹25 (c) ₹30 (d) ₹75
  31. 31.9 workers can build a wall in 11 days. How many days will 3 workers take, working at the same speed? (a) 33 days (b) 17 days (c) 5 days (d) 34 days
  32. 32.If 4 notebooks cost ₹12, how much do 11 notebooks cost? (a) ₹132 (b) ₹33 (c) ₹36 (d) ₹19
  33. 33.If 6 pens cost ₹72, how much do 11 pens cost? (a) ₹132 (b) ₹144 (c) ₹77 (d) ₹792
  34. 34.If 9 notebooks cost ₹144, how much do 6 notebooks cost? (a) ₹141 (b) ₹112 (c) ₹96 (d) ₹864
  35. 35.7 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 15 days (b) 13 days (c) 11 days (d) 14 days
  36. 36.8 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 17 days (b) 1 day (c) 10 days (d) 16 days
  37. 37.If 9 kites cost ₹108, how much do 10 kites cost? (a) ₹109 (b) ₹1080 (c) ₹132 (d) ₹120
  38. 38.9 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 64 days (b) 7 days (c) 63 days (d) 21 days
  39. 39.If 3 kites cost ₹39, how much do 9 kites cost? (a) ₹130 (b) ₹117 (c) ₹45 (d) ₹351
  40. 40.6 workers can build a wall in 15 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 5 days (c) 45 days (d) 19 days

Answer key

  1. ₹104
  2. ₹70
  3. ₹140
  4. ₹24
  5. ₹105
  6. 21 days
  7. 3 days
  8. 15 days
  9. ₹102
  10. ₹84
  11. ₹144
  12. ₹63
  13. ₹80
  14. 8 days
  15. ₹105
  16. ₹114
  17. ₹120
  18. ₹108
  19. ₹25
  20. ₹280
  21. ₹308
  22. ₹60
  23. 5 days
  24. ₹40
  25. 5 days
  26. ₹96
  27. 8 days
  28. 6 days
  29. ₹180
  30. ₹25
  31. 33 days
  32. ₹33
  33. ₹132
  34. ₹96
  35. 14 days
  36. 16 days
  37. ₹120
  38. 63 days
  39. ₹117
  40. 45 days

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