← Ratio and the unitary method lesson New set →

Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 134 · 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. 1.9 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 19 days (b) 40 days (c) 39 days (d) 7 days
  2. 2.If 7 mangoes cost ₹56, how much do 4 mangoes cost? (a) ₹224 (b) ₹32 (c) ₹53 (d) ₹40
  3. 3.9 workers can build a wall in 5 days. How many days will 3 workers take, working at the same speed? (a) 15 days (b) 16 days (c) 14 days (d) 11 days
  4. 4.₹104 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹13 (b) ₹52 (c) ₹39 (d) ₹65
  5. 5.9 workers can build a wall in 14 days. How many days will 3 workers take, working at the same speed? (a) 20 days (b) 8 days (c) 43 days (d) 42 days
  6. 6.₹220 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹220 (b) ₹176 (c) ₹110 (d) ₹44
  7. 7.If 9 kites cost ₹135, how much do 3 kites cost? (a) ₹129 (b) ₹60 (c) ₹405 (d) ₹45
  8. 8.₹215 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹43 (b) ₹173 (c) ₹215 (d) ₹172
  9. 9.₹27 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹19 (b) ₹18 (c) ₹9 (d) ₹27
  10. 10.If 9 kites cost ₹45, how much do 12 kites cost? (a) ₹60 (b) ₹65 (c) ₹48 (d) ₹540
  11. 11.If 2 mangoes cost ₹14, how much do 3 mangoes cost? (a) ₹21 (b) ₹42 (c) ₹15 (d) ₹28
  12. 12.₹418 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹228 (b) ₹190 (c) ₹38 (d) ₹209
  13. 13.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 4 days (c) 9 days (d) 49 days
  14. 14.₹99 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹9 (b) ₹72 (c) ₹63 (d) ₹36
  15. 15.₹63 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹63 (b) ₹9 (c) ₹54 (d) ₹55
  16. 16.9 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 9 days (b) 8 days (c) 1 day (d) 10 days
  17. 17.8 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 17 days (c) 1 day (d) 16 days
  18. 18.5 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 3 days (b) 5 days (c) 4 days (d) 6 days
  19. 19.If 2 mangoes cost ₹36, how much do 9 mangoes cost? (a) ₹180 (b) ₹43 (c) ₹162 (d) ₹324
  20. 20.If 8 kites cost ₹56, how much do 9 kites cost? (a) ₹70 (b) ₹57 (c) ₹63 (d) ₹504
  21. 21.If 8 mangoes cost ₹56, how much do 4 mangoes cost? (a) ₹28 (b) ₹52 (c) ₹224 (d) ₹35
  22. 22.₹63 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹18 (b) ₹9 (c) ₹54 (d) ₹45
  23. 23.6 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 18 days (b) 12 days (c) 19 days (d) 6 days
  24. 24.₹296 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹296 (b) ₹37 (c) ₹259 (d) ₹148
  25. 25.If 2 mangoes cost ₹12, how much do 11 mangoes cost? (a) ₹132 (b) ₹72 (c) ₹66 (d) ₹21
  26. 26.6 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 3 days (b) 12 days (c) 13 days (d) 9 days
  27. 27.₹18 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹6 (b) ₹12 (c) ₹9 (d) ₹18
  28. 28.If 7 kites cost ₹133, how much do 6 kites cost? (a) ₹114 (b) ₹132 (c) ₹133 (d) ₹798
  29. 29.₹364 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹26 (b) ₹182 (c) ₹234 (d) ₹130
  30. 30.₹312 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹192 (b) ₹120 (c) ₹24 (d) ₹156
  31. 31.₹120 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹10 (b) ₹70 (c) ₹60 (d) ₹50
  32. 32.If 4 pens cost ₹44, how much do 3 pens cost? (a) ₹33 (b) ₹132 (c) ₹43 (d) ₹44
  33. 33.8 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 14 days (b) 2 days (c) 32 days (d) 33 days
  34. 34.9 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 8 days (b) 10 days (c) 9 days (d) 5 days
  35. 35.If 5 kites cost ₹125, how much do 4 kites cost? (a) ₹124 (b) ₹500 (c) ₹100 (d) ₹125
  36. 36.If 5 mangoes cost ₹20, how much do 6 mangoes cost? (a) ₹24 (b) ₹120 (c) ₹28 (d) ₹21
  37. 37.If 7 kites cost ₹175, how much do 4 kites cost? (a) ₹125 (b) ₹100 (c) ₹700 (d) ₹172
  38. 38.If 6 mangoes cost ₹90, how much do 2 mangoes cost? (a) ₹180 (b) ₹45 (c) ₹30 (d) ₹86
  39. 39.4 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 8 days (b) 5 days (c) 12 days (d) 20 days
  40. 40.If 9 mangoes cost ₹180, how much do 11 mangoes cost? (a) ₹240 (b) ₹182 (c) ₹220 (d) ₹1980

Answer key

  1. 39 days
  2. ₹32
  3. 15 days
  4. ₹65
  5. 42 days
  6. ₹176
  7. ₹45
  8. ₹172
  9. ₹18
  10. ₹60
  11. ₹21
  12. ₹228
  13. 49 days
  14. ₹63
  15. ₹54
  16. 9 days
  17. 16 days
  18. 5 days
  19. ₹162
  20. ₹63
  21. ₹28
  22. ₹45
  23. 18 days
  24. ₹259
  25. ₹66
  26. 12 days
  27. ₹12
  28. ₹114
  29. ₹234
  30. ₹192
  31. ₹70
  32. ₹33
  33. 32 days
  34. 9 days
  35. ₹100
  36. ₹24
  37. ₹100
  38. ₹30
  39. 20 days
  40. ₹220

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad