← 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 141 · 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. 1.6 workers can build a wall in 15 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 19 days (c) 5 days (d) 45 days
  2. 2.8 workers can build a wall in 10 days. How many days will 4 workers take, working at the same speed? (a) 20 days (b) 14 days (c) 5 days (d) 6 days
  3. 3.If 9 notebooks cost ₹144, how much do 10 notebooks cost? (a) ₹1440 (b) ₹160 (c) ₹176 (d) ₹145
  4. 4.₹429 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹39 (b) ₹234 (c) ₹195 (d) ₹273
  5. 5.If 4 kites cost ₹68, how much do 9 kites cost? (a) ₹612 (b) ₹153 (c) ₹73 (d) ₹170
  6. 6.3 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
  7. 7.If 4 mangoes cost ₹96, how much do 10 mangoes cost? (a) ₹102 (b) ₹240 (c) ₹960 (d) ₹264
  8. 8.₹175 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹70 (b) ₹140 (c) ₹105 (d) ₹35
  9. 9.If 4 mangoes cost ₹60, how much do 7 mangoes cost? (a) ₹420 (b) ₹120 (c) ₹63 (d) ₹105
  10. 10.₹105 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹60 (b) ₹15 (c) ₹45 (d) ₹75
  11. 11.4 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 16 days (b) 10 days (c) 6 days (d) 4 days
  12. 12.If 4 mangoes cost ₹12, how much do 5 mangoes cost? (a) ₹13 (b) ₹60 (c) ₹18 (d) ₹15
  13. 13.6 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 33 days (c) 15 days (d) 34 days
  14. 14.If 7 pens cost ₹35, how much do 11 pens cost? (a) ₹39 (b) ₹60 (c) ₹55 (d) ₹385
  15. 15.If 8 mangoes cost ₹184, how much do 12 mangoes cost? (a) ₹276 (b) ₹188 (c) ₹2208 (d) ₹299
  16. 16.₹72 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹6 (b) ₹42 (c) ₹36 (d) ₹30
  17. 17.If 3 notebooks cost ₹60, how much do 10 notebooks cost? (a) ₹220 (b) ₹200 (c) ₹67 (d) ₹600
  18. 18.₹385 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹280 (b) ₹140 (c) ₹35 (d) ₹245
  19. 19.9 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 13 days (b) 22 days (c) 1 day (d) 21 days
  20. 20.7 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 14 days (c) 9 days (d) 15 days
  21. 21.If 5 mangoes cost ₹45, how much do 11 mangoes cost? (a) ₹108 (b) ₹51 (c) ₹99 (d) ₹495
  22. 22.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 6 days (b) 5 days (c) 4 days (d) 9 days
  23. 23.If 2 mangoes cost ₹6, how much do 11 mangoes cost? (a) ₹33 (b) ₹66 (c) ₹36 (d) ₹15
  24. 24.₹378 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹243 (b) ₹27 (c) ₹189 (d) ₹135
  25. 25.₹308 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹28 (b) ₹84 (c) ₹224 (d) ₹154
  26. 26.If 6 notebooks cost ₹54, how much do 2 notebooks cost? (a) ₹18 (b) ₹27 (c) ₹50 (d) ₹108
  27. 27.If 9 pens cost ₹171, how much do 5 pens cost? (a) ₹167 (b) ₹114 (c) ₹95 (d) ₹855
  28. 28.If 7 notebooks cost ₹28, how much do 3 notebooks cost? (a) ₹16 (b) ₹24 (c) ₹12 (d) ₹84
  29. 29.If 8 mangoes cost ₹24, how much do 9 mangoes cost? (a) ₹25 (b) ₹30 (c) ₹27 (d) ₹216
  30. 30.₹50 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹35 (b) ₹25 (c) ₹15 (d) ₹5
  31. 31.If 3 pens cost ₹30, how much do 9 pens cost? (a) ₹100 (b) ₹36 (c) ₹270 (d) ₹90
  32. 32.₹300 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹150 (b) ₹90 (c) ₹210 (d) ₹30
  33. 33.5 workers can build a wall in 4 days. How many days will 10 workers take, working at the same speed? (a) 8 days (b) 2 days (c) 9 days (d) 3 days
  34. 34.If 8 pens cost ₹128, how much do 2 pens cost? (a) ₹122 (b) ₹48 (c) ₹256 (d) ₹32
  35. 35.₹343 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹147 (b) ₹49 (c) ₹245 (d) ₹196
  36. 36.₹174 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹145 (b) ₹174 (c) ₹29 (d) ₹87
  37. 37.If 4 kites cost ₹48, how much do 5 kites cost? (a) ₹240 (b) ₹72 (c) ₹49 (d) ₹60
  38. 38.8 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 6 days (b) 7 days (c) 9 days (d) 8 days
  39. 39.7 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 28 days (b) 29 days (c) 13 days (d) 3 days
  40. 40.If 3 kites cost ₹69, how much do 7 kites cost? (a) ₹161 (b) ₹73 (c) ₹483 (d) ₹184

Answer key

  1. 45 days
  2. 20 days
  3. ₹160
  4. ₹234
  5. ₹153
  6. 3 days
  7. ₹240
  8. ₹105
  9. ₹105
  10. ₹60
  11. 16 days
  12. ₹15
  13. 33 days
  14. ₹55
  15. ₹276
  16. ₹42
  17. ₹200
  18. ₹245
  19. 21 days
  20. 14 days
  21. ₹99
  22. 5 days
  23. ₹33
  24. ₹243
  25. ₹224
  26. ₹18
  27. ₹95
  28. ₹12
  29. ₹27
  30. ₹35
  31. ₹90
  32. ₹210
  33. 2 days
  34. ₹32
  35. ₹196
  36. ₹145
  37. ₹60
  38. 8 days
  39. 28 days
  40. ₹161

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