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Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 518 · 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 6 kites cost ₹66, how much do 7 kites cost? (a) ₹77 (b) ₹462 (c) ₹67 (d) ₹88
  2. 2.If 6 notebooks cost ₹138, how much do 7 notebooks cost? (a) ₹966 (b) ₹161 (c) ₹184 (d) ₹139
  3. 3.If 3 pens cost ₹51, how much do 4 pens cost? (a) ₹68 (b) ₹85 (c) ₹204 (d) ₹52
  4. 4.8 workers can build a wall in 15 days. How many days will 10 workers take, working at the same speed? (a) 12 days (b) 13 days (c) 11 days (d) 17 days
  5. 5.5 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 7 days (b) 16 days (c) 11 days (d) 15 days
  6. 6.9 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 10 days (b) 9 days (c) 11 days (d) 8 days
  7. 7.If 9 notebooks cost ₹63, how much do 6 notebooks cost? (a) ₹378 (b) ₹60 (c) ₹49 (d) ₹42
  8. 8.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 19 days (b) 4 days (c) 3 days (d) 2 days
  9. 9.If 5 notebooks cost ₹120, how much do 8 notebooks cost? (a) ₹123 (b) ₹960 (c) ₹192 (d) ₹216
  10. 10.₹95 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹95 (b) ₹77 (c) ₹76 (d) ₹19
  11. 11.3 workers can build a wall in 4 days. How many days will 6 workers take, working at the same speed? (a) 2 days (b) 7 days (c) 1 day (d) 8 days
  12. 12.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 4 days (b) 27 days (c) 3 days (d) 15 days
  13. 13.If 2 mangoes cost ₹22, how much do 7 mangoes cost? (a) ₹88 (b) ₹154 (c) ₹27 (d) ₹77
  14. 14.₹168 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹12 (b) ₹60 (c) ₹108 (d) ₹84
  15. 15.If 2 notebooks cost ₹26, how much do 4 notebooks cost? (a) ₹65 (b) ₹52 (c) ₹104 (d) ₹28
  16. 16.₹130 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹80 (b) ₹10 (c) ₹50 (d) ₹65
  17. 17.3 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) 3 days (d) 2 days
  18. 18.If 2 kites cost ₹30, how much do 6 kites cost? (a) ₹90 (b) ₹105 (c) ₹34 (d) ₹180
  19. 19.If 2 notebooks cost ₹16, how much do 4 notebooks cost? (a) ₹18 (b) ₹40 (c) ₹64 (d) ₹32
  20. 20.₹408 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹170 (b) ₹34 (c) ₹238 (d) ₹204
  21. 21.₹75 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹51 (b) ₹75 (c) ₹50 (d) ₹25
  22. 22.3 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 13 days (b) 16 days (c) 11 days (d) 9 days
  23. 23.If 8 notebooks cost ₹72, how much do 3 notebooks cost? (a) ₹67 (b) ₹216 (c) ₹36 (d) ₹27
  24. 24.If 6 kites cost ₹66, how much do 3 kites cost? (a) ₹198 (b) ₹63 (c) ₹44 (d) ₹33
  25. 25.₹350 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹225 (b) ₹125 (c) ₹25 (d) ₹175
  26. 26.₹63 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹45 (b) ₹9 (c) ₹27 (d) ₹36
  27. 27.If 4 pens cost ₹88, how much do 11 pens cost? (a) ₹968 (b) ₹95 (c) ₹242 (d) ₹264
  28. 28.4 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 10 days (b) 18 days (c) 14 days (d) 8 days
  29. 29.₹25 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹21 (b) ₹5 (c) ₹20 (d) ₹25
  30. 30.If 2 pens cost ₹10, how much do 10 pens cost? (a) ₹55 (b) ₹50 (c) ₹18 (d) ₹100
  31. 31.₹238 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹119 (b) ₹34 (c) ₹102 (d) ₹136
  32. 32.₹152 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹152 (b) ₹114 (c) ₹38 (d) ₹76
  33. 33.If 3 kites cost ₹42, how much do 4 kites cost? (a) ₹70 (b) ₹168 (c) ₹56 (d) ₹43
  34. 34.₹338 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹26 (b) ₹104 (c) ₹234 (d) ₹169
  35. 35.₹242 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹198 (b) ₹44 (c) ₹121 (d) ₹22
  36. 36.₹154 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹56 (b) ₹14 (c) ₹77 (d) ₹98
  37. 37.₹119 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹102 (b) ₹85 (c) ₹17 (d) ₹34
  38. 38.If 2 notebooks cost ₹24, how much do 4 notebooks cost? (a) ₹48 (b) ₹60 (c) ₹26 (d) ₹96
  39. 39.4 workers can build a wall in 10 days. How many days will 8 workers take, working at the same speed? (a) 6 days (b) 14 days (c) 5 days (d) 20 days
  40. 40.3 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

Answer key

  1. ₹77
  2. ₹161
  3. ₹68
  4. 12 days
  5. 15 days
  6. 9 days
  7. ₹42
  8. 3 days
  9. ₹192
  10. ₹76
  11. 2 days
  12. 3 days
  13. ₹77
  14. ₹108
  15. ₹52
  16. ₹80
  17. 3 days
  18. ₹90
  19. ₹32
  20. ₹238
  21. ₹50
  22. 9 days
  23. ₹27
  24. ₹33
  25. ₹225
  26. ₹36
  27. ₹242
  28. 8 days
  29. ₹20
  30. ₹50
  31. ₹136
  32. ₹114
  33. ₹56
  34. ₹234
  35. ₹198
  36. ₹98
  37. ₹85
  38. ₹48
  39. 5 days
  40. 9 days

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