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Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 893 · 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 4 pens cost ₹76, how much do 2 pens cost? (a) ₹38 (b) ₹57 (c) ₹74 (d) ₹152
  2. 2.If 6 kites cost ₹48, how much do 10 kites cost? (a) ₹480 (b) ₹80 (c) ₹52 (d) ₹88
  3. 3.If 3 pens cost ₹24, how much do 4 pens cost? (a) ₹25 (b) ₹40 (c) ₹32 (d) ₹96
  4. 4.If 5 notebooks cost ₹95, how much do 12 notebooks cost? (a) ₹102 (b) ₹228 (c) ₹1140 (d) ₹247
  5. 5.₹91 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹65 (b) ₹78 (c) ₹26 (d) ₹13
  6. 6.If 7 mangoes cost ₹91, how much do 2 mangoes cost? (a) ₹86 (b) ₹39 (c) ₹26 (d) ₹182
  7. 7.9 workers can build a wall in 14 days. How many days will 3 workers take, working at the same speed? (a) 43 days (b) 8 days (c) 20 days (d) 42 days
  8. 8.4 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 1 day (c) 11 days (d) 2 days
  9. 9.If 7 kites cost ₹77, how much do 4 kites cost? (a) ₹74 (b) ₹55 (c) ₹44 (d) ₹308
  10. 10.₹216 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹135 (b) ₹81 (c) ₹27 (d) ₹108
  11. 11.8 workers can build a wall in 11 days. How many days will 4 workers take, working at the same speed? (a) 7 days (b) 22 days (c) 15 days (d) 23 days
  12. 12.₹350 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹250 (b) ₹175 (c) ₹50 (d) ₹100
  13. 13.If 4 pens cost ₹12, how much do 9 pens cost? (a) ₹17 (b) ₹108 (c) ₹27 (d) ₹30
  14. 14.If 3 pens cost ₹51, how much do 9 pens cost? (a) ₹57 (b) ₹170 (c) ₹153 (d) ₹459
  15. 15.₹450 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹225 (b) ₹350 (c) ₹100 (d) ₹50
  16. 16.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 17 days (b) 9 days (c) 25 days (d) 13 days
  17. 17.If 9 notebooks cost ₹162, how much do 12 notebooks cost? (a) ₹216 (b) ₹1944 (c) ₹165 (d) ₹234
  18. 18.8 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 52 days (c) 19 days (d) 53 days
  19. 19.₹40 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹20 (b) ₹30 (c) ₹10 (d) ₹40
  20. 20.₹387 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹43 (b) ₹387 (c) ₹344 (d) ₹345
  21. 21.₹156 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹156 (b) ₹78 (c) ₹39 (d) ₹117
  22. 22.3 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 17 days (c) 4 days (d) 2 days
  23. 23.If 4 mangoes cost ₹36, how much do 5 mangoes cost? (a) ₹37 (b) ₹180 (c) ₹45 (d) ₹54
  24. 24.If 2 kites cost ₹24, how much do 9 kites cost? (a) ₹120 (b) ₹108 (c) ₹31 (d) ₹216
  25. 25.3 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 5 days (b) 3 days (c) 7 days (d) 6 days
  26. 26.3 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 22 days (b) 15 days (c) 21 days (d) 13 days
  27. 27.6 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 18 days (b) 31 days (c) 12 days (d) 30 days
  28. 28.If 3 pens cost ₹42, how much do 4 pens cost? (a) ₹70 (b) ₹56 (c) ₹43 (d) ₹168
  29. 29.₹528 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹44 (b) ₹264 (c) ₹220 (d) ₹308
  30. 30.₹126 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹126 (b) ₹108 (c) ₹18 (d) ₹63
  31. 31.If 4 notebooks cost ₹16, how much do 3 notebooks cost? (a) ₹15 (b) ₹48 (c) ₹16 (d) ₹12
  32. 32.₹273 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹210 (b) ₹21 (c) ₹84 (d) ₹189
  33. 33.If 8 kites cost ₹200, how much do 9 kites cost? (a) ₹250 (b) ₹201 (c) ₹225 (d) ₹1800
  34. 34.If 7 kites cost ₹21, how much do 12 kites cost? (a) ₹39 (b) ₹36 (c) ₹252 (d) ₹26
  35. 35.If 7 mangoes cost ₹70, how much do 10 mangoes cost? (a) ₹73 (b) ₹110 (c) ₹700 (d) ₹100
  36. 36.₹70 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹35 (b) ₹70 (c) ₹56 (d) ₹14
  37. 37.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 6 days (b) 15 days (c) 8 days (d) 7 days
  38. 38.If 5 kites cost ₹55, how much do 7 kites cost? (a) ₹88 (b) ₹77 (c) ₹385 (d) ₹57
  39. 39.3 workers can build a wall in 10 days. How many days will 6 workers take, working at the same speed? (a) 7 days (b) 20 days (c) 5 days (d) 13 days
  40. 40.If 6 pens cost ₹96, how much do 4 pens cost? (a) ₹384 (b) ₹80 (c) ₹94 (d) ₹64

Answer key

  1. ₹38
  2. ₹80
  3. ₹32
  4. ₹228
  5. ₹65
  6. ₹26
  7. 42 days
  8. 2 days
  9. ₹44
  10. ₹135
  11. 22 days
  12. ₹250
  13. ₹27
  14. ₹153
  15. ₹350
  16. 25 days
  17. ₹216
  18. 52 days
  19. ₹30
  20. ₹344
  21. ₹117
  22. 3 days
  23. ₹45
  24. ₹108
  25. 6 days
  26. 21 days
  27. 30 days
  28. ₹56
  29. ₹308
  30. ₹108
  31. ₹12
  32. ₹189
  33. ₹225
  34. ₹36
  35. ₹100
  36. ₹56
  37. 7 days
  38. ₹77
  39. 5 days
  40. ₹64

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