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Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 996 · 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 8 kites cost ₹64, how much do 9 kites cost? (a) ₹65 (b) ₹80 (c) ₹72 (d) ₹576
  2. 2.3 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) 7 days (d) 13 days
  3. 3.₹624 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹432 (b) ₹312 (c) ₹192 (d) ₹48
  4. 4.If 4 mangoes cost ₹84, how much do 7 mangoes cost? (a) ₹147 (b) ₹168 (c) ₹588 (d) ₹87
  5. 5.If 2 pens cost ₹18, how much do 3 pens cost? (a) ₹36 (b) ₹54 (c) ₹27 (d) ₹19
  6. 6.7 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 13 days (b) 17 days (c) 22 days (d) 21 days
  7. 7.4 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 9 days (b) 5 days (c) 8 days (d) 4 days
  8. 8.If 9 notebooks cost ₹117, how much do 10 notebooks cost? (a) ₹1170 (b) ₹143 (c) ₹118 (d) ₹130
  9. 9.9 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 6 days (b) 14 days (c) 19 days (d) 18 days
  10. 10.If 8 kites cost ₹144, how much do 9 kites cost? (a) ₹1296 (b) ₹162 (c) ₹145 (d) ₹180
  11. 11.If 6 pens cost ₹30, how much do 3 pens cost? (a) ₹27 (b) ₹90 (c) ₹20 (d) ₹15
  12. 12.If 7 notebooks cost ₹133, how much do 8 notebooks cost? (a) ₹134 (b) ₹1064 (c) ₹152 (d) ₹171
  13. 13.If 9 pens cost ₹162, how much do 4 pens cost? (a) ₹90 (b) ₹648 (c) ₹72 (d) ₹157
  14. 14.If 3 pens cost ₹27, how much do 4 pens cost? (a) ₹36 (b) ₹28 (c) ₹45 (d) ₹108
  15. 15.4 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 8 days (b) 6 days (c) 2 days (d) 9 days
  16. 16.If 3 mangoes cost ₹18, how much do 2 mangoes cost? (a) ₹36 (b) ₹17 (c) ₹12 (d) ₹18
  17. 17.If 8 mangoes cost ₹128, how much do 10 mangoes cost? (a) ₹176 (b) ₹1280 (c) ₹130 (d) ₹160
  18. 18.If 8 pens cost ₹32, how much do 7 pens cost? (a) ₹32 (b) ₹28 (c) ₹224 (d) ₹31
  19. 19.If 5 mangoes cost ₹115, how much do 6 mangoes cost? (a) ₹138 (b) ₹116 (c) ₹161 (d) ₹690
  20. 20.9 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 9 days (b) 15 days (c) 8 days (d) 18 days
  21. 21.₹186 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹93 (b) ₹186 (c) ₹155 (d) ₹31
  22. 22.If 8 pens cost ₹176, how much do 3 pens cost? (a) ₹171 (b) ₹88 (c) ₹66 (d) ₹528
  23. 23.If 4 kites cost ₹24, how much do 10 kites cost? (a) ₹30 (b) ₹240 (c) ₹66 (d) ₹60
  24. 24.If 7 mangoes cost ₹28, how much do 2 mangoes cost? (a) ₹23 (b) ₹56 (c) ₹12 (d) ₹8
  25. 25.3 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 17 days (b) 25 days (c) 13 days (d) 9 days
  26. 26.If 6 pens cost ₹102, how much do 5 pens cost? (a) ₹510 (b) ₹102 (c) ₹101 (d) ₹85
  27. 27.If 6 pens cost ₹60, how much do 5 pens cost? (a) ₹300 (b) ₹50 (c) ₹60 (d) ₹59
  28. 28.4 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 12 days (b) 4 days (c) 5 days (d) 16 days
  29. 29.3 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 9 days (b) 13 days (c) 16 days (d) 11 days
  30. 30.If 4 notebooks cost ₹32, how much do 7 notebooks cost? (a) ₹64 (b) ₹224 (c) ₹35 (d) ₹56
  31. 31.3 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 12 days (b) 7 days (c) 8 days (d) 6 days
  32. 32.9 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 28 days (b) 26 days (c) 27 days (d) 13 days
  33. 33.6 workers can build a wall in 15 days. How many days will 2 workers take, working at the same speed? (a) 45 days (b) 11 days (c) 19 days (d) 5 days
  34. 34.₹396 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹36 (b) ₹198 (c) ₹288 (d) ₹108
  35. 35.If 8 notebooks cost ₹56, how much do 5 notebooks cost? (a) ₹35 (b) ₹53 (c) ₹42 (d) ₹280
  36. 36.₹216 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹216 (b) ₹108 (c) ₹189 (d) ₹27
  37. 37.If 3 notebooks cost ₹69, how much do 7 notebooks cost? (a) ₹73 (b) ₹184 (c) ₹483 (d) ₹161
  38. 38.₹112 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹8 (b) ₹40 (c) ₹56 (d) ₹72
  39. 39.₹188 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹47 (b) ₹94 (c) ₹188 (d) ₹141
  40. 40.If 5 mangoes cost ₹50, how much do 9 mangoes cost? (a) ₹54 (b) ₹90 (c) ₹450 (d) ₹100

Answer key

  1. ₹72
  2. 5 days
  3. ₹432
  4. ₹147
  5. ₹27
  6. 21 days
  7. 4 days
  8. ₹130
  9. 18 days
  10. ₹162
  11. ₹15
  12. ₹152
  13. ₹72
  14. ₹36
  15. 8 days
  16. ₹12
  17. ₹160
  18. ₹28
  19. ₹138
  20. 18 days
  21. ₹155
  22. ₹66
  23. ₹60
  24. ₹8
  25. 9 days
  26. ₹85
  27. ₹50
  28. 4 days
  29. 9 days
  30. ₹56
  31. 6 days
  32. 27 days
  33. 45 days
  34. ₹288
  35. ₹35
  36. ₹189
  37. ₹161
  38. ₹72
  39. ₹141
  40. ₹90

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