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Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 711 · 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 ₹28, how much do 8 pens cost? (a) ₹32 (b) ₹56 (c) ₹224 (d) ₹63
  2. 2.7 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 8 days (b) 6 days (c) 7 days (d) 1 day
  3. 3.₹228 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹114 (b) ₹38 (c) ₹228 (d) ₹190
  4. 4.6 workers can build a wall in 14 days. How many days will 12 workers take, working at the same speed? (a) 20 days (b) 28 days (c) 8 days (d) 7 days
  5. 5.If 3 notebooks cost ₹33, how much do 4 notebooks cost? (a) ₹132 (b) ₹44 (c) ₹55 (d) ₹34
  6. 6.If 6 mangoes cost ₹150, how much do 12 mangoes cost? (a) ₹156 (b) ₹325 (c) ₹1800 (d) ₹300
  7. 7.6 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 6 days (b) 8 days (c) 7 days (d) 5 days
  8. 8.₹340 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹170 (b) ₹34 (c) ₹238 (d) ₹102
  9. 9.If 7 mangoes cost ₹161, how much do 8 mangoes cost? (a) ₹207 (b) ₹162 (c) ₹1288 (d) ₹184
  10. 10.9 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 5 days (c) 55 days (d) 54 days
  11. 11.4 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 16 days (c) 4 days (d) 6 days
  12. 12.If 9 pens cost ₹72, how much do 12 pens cost? (a) ₹96 (b) ₹864 (c) ₹104 (d) ₹75
  13. 13.If 7 pens cost ₹119, how much do 8 pens cost? (a) ₹120 (b) ₹952 (c) ₹153 (d) ₹136
  14. 14.₹273 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹39 (b) ₹156 (c) ₹195 (d) ₹117
  15. 15.If 3 notebooks cost ₹60, how much do 4 notebooks cost? (a) ₹100 (b) ₹80 (c) ₹61 (d) ₹240
  16. 16.₹672 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹240 (b) ₹336 (c) ₹432 (d) ₹48
  17. 17.If 9 notebooks cost ₹108, how much do 3 notebooks cost? (a) ₹48 (b) ₹324 (c) ₹102 (d) ₹36
  18. 18.4 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 4 days (b) 5 days (c) 10 days (d) 3 days
  19. 19.If 4 notebooks cost ₹28, how much do 9 notebooks cost? (a) ₹252 (b) ₹70 (c) ₹63 (d) ₹33
  20. 20.4 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 3 days (b) 5 days (c) 4 days (d) 18 days
  21. 21.If 4 pens cost ₹92, how much do 2 pens cost? (a) ₹184 (b) ₹90 (c) ₹69 (d) ₹46
  22. 22.If 8 notebooks cost ₹192, how much do 6 notebooks cost? (a) ₹190 (b) ₹144 (c) ₹1152 (d) ₹168
  23. 23.₹48 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹32 (b) ₹48 (c) ₹24 (d) ₹16
  24. 24.7 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 13 days (b) 21 days (c) 17 days (d) 22 days
  25. 25.3 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 9 days (b) 11 days (c) 13 days (d) 16 days
  26. 26.₹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
  27. 27.If 9 pens cost ₹189, how much do 8 pens cost? (a) ₹1512 (b) ₹188 (c) ₹189 (d) ₹168
  28. 28.If 2 pens cost ₹20, how much do 5 pens cost? (a) ₹23 (b) ₹50 (c) ₹60 (d) ₹100
  29. 29.3 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 2 days (b) 4 days (c) 3 days (d) 13 days
  30. 30.If 4 mangoes cost ₹16, how much do 10 mangoes cost? (a) ₹40 (b) ₹44 (c) ₹22 (d) ₹160
  31. 31.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 7 days (b) 4 days (c) 2 days (d) 3 days
  32. 32.If 6 pens cost ₹60, how much do 9 pens cost? (a) ₹90 (b) ₹100 (c) ₹540 (d) ₹63
  33. 33.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 27 days (b) 15 days (c) 26 days (d) 11 days
  34. 34.If 3 pens cost ₹21, how much do 4 pens cost? (a) ₹35 (b) ₹22 (c) ₹84 (d) ₹28
  35. 35.₹392 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹196 (b) ₹28 (c) ₹140 (d) ₹252
  36. 36.If 3 pens cost ₹57, how much do 2 pens cost? (a) ₹57 (b) ₹38 (c) ₹114 (d) ₹56
  37. 37.If 4 notebooks cost ₹56, how much do 5 notebooks cost? (a) ₹70 (b) ₹280 (c) ₹57 (d) ₹84
  38. 38.If 6 kites cost ₹90, how much do 7 kites cost? (a) ₹105 (b) ₹91 (c) ₹630 (d) ₹120
  39. 39.If 6 mangoes cost ₹102, how much do 7 mangoes cost? (a) ₹136 (b) ₹119 (c) ₹714 (d) ₹103
  40. 40.3 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 4 days (b) 48 days (c) 21 days (d) 3 days

Answer key

  1. ₹56
  2. 7 days
  3. ₹190
  4. 7 days
  5. ₹44
  6. ₹300
  7. 6 days
  8. ₹238
  9. ₹184
  10. 54 days
  11. 16 days
  12. ₹96
  13. ₹136
  14. ₹156
  15. ₹80
  16. ₹432
  17. ₹36
  18. 4 days
  19. ₹63
  20. 4 days
  21. ₹46
  22. ₹144
  23. ₹32
  24. 21 days
  25. 9 days
  26. ₹55
  27. ₹168
  28. ₹50
  29. 3 days
  30. ₹40
  31. 3 days
  32. ₹90
  33. 26 days
  34. ₹28
  35. ₹252
  36. ₹38
  37. ₹70
  38. ₹105
  39. ₹119
  40. 3 days

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