← 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 773 · 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.₹490 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹245 (b) ₹147 (c) ₹49 (d) ₹343
  2. 2.₹282 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹141 (b) ₹282 (c) ₹235 (d) ₹47
  3. 3.8 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 1 day (c) 16 days (d) 17 days
  4. 4.If 5 mangoes cost ₹25, how much do 2 mangoes cost? (a) ₹50 (b) ₹15 (c) ₹22 (d) ₹10
  5. 5.If 6 notebooks cost ₹36, how much do 3 notebooks cost? (a) ₹24 (b) ₹18 (c) ₹108 (d) ₹33
  6. 6.If 2 mangoes cost ₹24, how much do 5 mangoes cost? (a) ₹60 (b) ₹72 (c) ₹27 (d) ₹120
  7. 7.7 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 5 days (b) 22 days (c) 13 days (d) 21 days
  8. 8.If 2 notebooks cost ₹8, how much do 4 notebooks cost? (a) ₹16 (b) ₹20 (c) ₹32 (d) ₹10
  9. 9.If 2 kites cost ₹42, how much do 3 kites cost? (a) ₹126 (b) ₹84 (c) ₹43 (d) ₹63
  10. 10.8 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 25 days (b) 12 days (c) 24 days (d) 23 days
  11. 11.₹341 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹93 (b) ₹279 (c) ₹248 (d) ₹31
  12. 12.If 2 notebooks cost ₹40, how much do 9 notebooks cost? (a) ₹180 (b) ₹360 (c) ₹200 (d) ₹47
  13. 13.If 7 kites cost ₹126, how much do 5 kites cost? (a) ₹630 (b) ₹124 (c) ₹108 (d) ₹90
  14. 14.9 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 15 days (b) 27 days (c) 28 days (d) 3 days
  15. 15.8 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 53 days (b) 7 days (c) 19 days (d) 52 days
  16. 16.If 4 notebooks cost ₹64, how much do 5 notebooks cost? (a) ₹96 (b) ₹320 (c) ₹65 (d) ₹80
  17. 17.₹144 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹54 (b) ₹90 (c) ₹18 (d) ₹72
  18. 18.3 workers can build a wall in 4 days. How many days will 6 workers take, working at the same speed? (a) 7 days (b) 8 days (c) 1 day (d) 2 days
  19. 19.9 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 26 days (b) 13 days (c) 28 days (d) 27 days
  20. 20.If 2 pens cost ₹10, how much do 5 pens cost? (a) ₹13 (b) ₹30 (c) ₹50 (d) ₹25
  21. 21.5 workers can build a wall in 4 days. How many days will 10 workers take, working at the same speed? (a) 9 days (b) 3 days (c) 8 days (d) 2 days
  22. 22.If 5 kites cost ₹45, how much do 10 kites cost? (a) ₹50 (b) ₹90 (c) ₹450 (d) ₹99
  23. 23.₹598 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹299 (b) ₹46 (c) ₹368 (d) ₹230
  24. 24.7 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 22 days (b) 11 days (c) 21 days (d) 1 day
  25. 25.₹36 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹18 (b) ₹30 (c) ₹36 (d) ₹6
  26. 26.₹325 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹200 (b) ₹225 (c) ₹125 (d) ₹25
  27. 27.If 4 pens cost ₹76, how much do 7 pens cost? (a) ₹532 (b) ₹133 (c) ₹152 (d) ₹79
  28. 28.₹280 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹84 (b) ₹196 (c) ₹140 (d) ₹28
  29. 29.4 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 22 days (c) 23 days (d) 9 days
  30. 30.₹220 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹110 (b) ₹88 (c) ₹132 (d) ₹44
  31. 31.6 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 4 days (b) 1 day (c) 3 days (d) 9 days
  32. 32.4 workers can build a wall in 10 days. How many days will 8 workers take, working at the same speed? (a) 14 days (b) 20 days (c) 5 days (d) 6 days
  33. 33.If 7 notebooks cost ₹112, how much do 8 notebooks cost? (a) ₹113 (b) ₹896 (c) ₹128 (d) ₹144
  34. 34.If 3 pens cost ₹36, how much do 9 pens cost? (a) ₹42 (b) ₹324 (c) ₹120 (d) ₹108
  35. 35.8 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 7 days (b) 6 days (c) 8 days (d) 9 days
  36. 36.If 3 pens cost ₹9, how much do 9 pens cost? (a) ₹30 (b) ₹15 (c) ₹27 (d) ₹81
  37. 37.If 9 notebooks cost ₹144, how much do 12 notebooks cost? (a) ₹192 (b) ₹1728 (c) ₹208 (d) ₹147
  38. 38.If 8 notebooks cost ₹64, how much do 10 notebooks cost? (a) ₹66 (b) ₹80 (c) ₹88 (d) ₹640
  39. 39.If 8 notebooks cost ₹48, how much do 6 notebooks cost? (a) ₹42 (b) ₹288 (c) ₹46 (d) ₹36
  40. 40.If 6 kites cost ₹96, how much do 12 kites cost? (a) ₹1152 (b) ₹192 (c) ₹102 (d) ₹208

Answer key

  1. ₹343
  2. ₹235
  3. 16 days
  4. ₹10
  5. ₹18
  6. ₹60
  7. 21 days
  8. ₹16
  9. ₹63
  10. 24 days
  11. ₹248
  12. ₹180
  13. ₹90
  14. 27 days
  15. 52 days
  16. ₹80
  17. ₹90
  18. 2 days
  19. 27 days
  20. ₹25
  21. 2 days
  22. ₹90
  23. ₹368
  24. 21 days
  25. ₹30
  26. ₹200
  27. ₹133
  28. ₹196
  29. 22 days
  30. ₹132
  31. 3 days
  32. 5 days
  33. ₹128
  34. ₹108
  35. 8 days
  36. ₹27
  37. ₹192
  38. ₹80
  39. ₹36
  40. ₹192

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