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Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 405 · 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 2 kites cost ₹42, how much do 6 kites cost? (a) ₹46 (b) ₹252 (c) ₹126 (d) ₹147
  2. 2.4 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 3 days (b) 4 days (c) 12 days (d) 8 days
  3. 3.If 8 mangoes cost ₹80, how much do 5 mangoes cost? (a) ₹50 (b) ₹60 (c) ₹77 (d) ₹400
  4. 4.If 2 notebooks cost ₹28, how much do 3 notebooks cost? (a) ₹29 (b) ₹42 (c) ₹56 (d) ₹84
  5. 5.If 6 notebooks cost ₹102, how much do 7 notebooks cost? (a) ₹136 (b) ₹119 (c) ₹714 (d) ₹103
  6. 6.If 8 mangoes cost ₹144, how much do 4 mangoes cost? (a) ₹90 (b) ₹576 (c) ₹72 (d) ₹140
  7. 7.7 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 14 days (b) 9 days (c) 13 days (d) 15 days
  8. 8.₹108 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹54 (b) ₹48 (c) ₹12 (d) ₹60
  9. 9.₹407 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹111 (b) ₹333 (c) ₹296 (d) ₹37
  10. 10.If 2 notebooks cost ₹6, how much do 3 notebooks cost? (a) ₹12 (b) ₹7 (c) ₹9 (d) ₹18
  11. 11.If 8 mangoes cost ₹168, how much do 6 mangoes cost? (a) ₹166 (b) ₹126 (c) ₹1008 (d) ₹147
  12. 12.7 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 8 days (b) 5 days (c) 6 days (d) 7 days
  13. 13.7 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 19 days (b) 36 days (c) 35 days (d) 11 days
  14. 14.6 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 12 days (b) 11 days (c) 13 days (d) 8 days
  15. 15.4 workers can build a wall in 9 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 11 days (c) 7 days (d) 18 days
  16. 16.If 3 mangoes cost ₹69, how much do 4 mangoes cost? (a) ₹92 (b) ₹115 (c) ₹70 (d) ₹276
  17. 17.If 8 notebooks cost ₹104, how much do 2 notebooks cost? (a) ₹208 (b) ₹39 (c) ₹26 (d) ₹98
  18. 18.If 3 notebooks cost ₹12, how much do 2 notebooks cost? (a) ₹12 (b) ₹8 (c) ₹11 (d) ₹24
  19. 19.If 9 notebooks cost ₹189, how much do 11 notebooks cost? (a) ₹2079 (b) ₹191 (c) ₹231 (d) ₹252
  20. 20.4 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) 9 days (d) 23 days
  21. 21.6 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 16 days (c) 8 days (d) 36 days
  22. 22.₹180 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹90 (b) ₹15 (c) ₹75 (d) ₹105
  23. 23.3 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 4 days (b) 2 days (c) 13 days (d) 3 days
  24. 24.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 15 days (b) 3 days (c) 4 days (d) 27 days
  25. 25.₹280 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹140 (b) ₹20 (c) ₹100 (d) ₹180
  26. 26.5 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 5 days (b) 4 days (c) 6 days (d) 7 days
  27. 27.₹104 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹52 (b) ₹64 (c) ₹40 (d) ₹8
  28. 28.If 4 kites cost ₹68, how much do 6 kites cost? (a) ₹408 (b) ₹102 (c) ₹119 (d) ₹70
  29. 29.9 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 40 days (b) 19 days (c) 7 days (d) 39 days
  30. 30.₹88 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹11 (b) ₹55 (c) ₹44 (d) ₹33
  31. 31.If 5 pens cost ₹20, how much do 3 pens cost? (a) ₹16 (b) ₹12 (c) ₹18 (d) ₹60
  32. 32.If 2 mangoes cost ₹8, how much do 10 mangoes cost? (a) ₹16 (b) ₹40 (c) ₹44 (d) ₹80
  33. 33.3 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 4 days (b) 2 days (c) 17 days (d) 3 days
  34. 34.If 6 notebooks cost ₹48, how much do 7 notebooks cost? (a) ₹49 (b) ₹336 (c) ₹56 (d) ₹64
  35. 35.If 3 pens cost ₹27, how much do 7 pens cost? (a) ₹63 (b) ₹72 (c) ₹189 (d) ₹31
  36. 36.4 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 10 days (b) 3 days (c) 5 days (d) 4 days
  37. 37.₹150 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹75 (b) ₹15 (c) ₹105 (d) ₹45
  38. 38.If 8 mangoes cost ₹184, how much do 12 mangoes cost? (a) ₹2208 (b) ₹188 (c) ₹299 (d) ₹276
  39. 39.If 9 notebooks cost ₹27, how much do 10 notebooks cost? (a) ₹270 (b) ₹33 (c) ₹28 (d) ₹30
  40. 40.If 6 notebooks cost ₹126, how much do 11 notebooks cost? (a) ₹131 (b) ₹252 (c) ₹1386 (d) ₹231

Answer key

  1. ₹126
  2. 12 days
  3. ₹50
  4. ₹42
  5. ₹119
  6. ₹72
  7. 14 days
  8. ₹60
  9. ₹296
  10. ₹9
  11. ₹126
  12. 7 days
  13. 35 days
  14. 12 days
  15. 18 days
  16. ₹92
  17. ₹26
  18. ₹8
  19. ₹231
  20. 22 days
  21. 36 days
  22. ₹105
  23. 3 days
  24. 3 days
  25. ₹180
  26. 5 days
  27. ₹64
  28. ₹102
  29. 39 days
  30. ₹55
  31. ₹12
  32. ₹40
  33. 3 days
  34. ₹56
  35. ₹63
  36. 4 days
  37. ₹105
  38. ₹276
  39. ₹30
  40. ₹231

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