← 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 345 · 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 pens cost ₹48, how much do 9 pens cost? (a) ₹80 (b) ₹51 (c) ₹72 (d) ₹432
  2. 2.If 6 notebooks cost ₹144, how much do 9 notebooks cost? (a) ₹216 (b) ₹147 (c) ₹1296 (d) ₹240
  3. 3.If 4 notebooks cost ₹40, how much do 10 notebooks cost? (a) ₹46 (b) ₹100 (c) ₹110 (d) ₹400
  4. 4.₹121 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹88 (b) ₹33 (c) ₹99 (d) ₹11
  5. 5.4 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 6 days (b) 10 days (c) 14 days (d) 24 days
  6. 6.₹187 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹153 (b) ₹170 (c) ₹17 (d) ₹34
  7. 7.7 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 29 days (b) 3 days (c) 28 days (d) 13 days
  8. 8.6 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 18 days (b) 2 days (c) 19 days (d) 10 days
  9. 9.3 workers can build a wall in 10 days. How many days will 6 workers take, working at the same speed? (a) 7 days (b) 5 days (c) 20 days (d) 13 days
  10. 10.5 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 30 days (c) 9 days (d) 31 days
  11. 11.₹198 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹72 (b) ₹126 (c) ₹18 (d) ₹99
  12. 12.6 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 26 days (b) 16 days (c) 10 days (d) 27 days
  13. 13.If 3 notebooks cost ₹33, how much do 4 notebooks cost? (a) ₹34 (b) ₹55 (c) ₹132 (d) ₹44
  14. 14.If 5 kites cost ₹40, how much do 8 kites cost? (a) ₹72 (b) ₹43 (c) ₹320 (d) ₹64
  15. 15.If 6 kites cost ₹78, how much do 10 kites cost? (a) ₹82 (b) ₹143 (c) ₹780 (d) ₹130
  16. 16.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 27 days (d) 15 days
  17. 17.8 workers can build a wall in 5 days. How many days will 4 workers take, working at the same speed? (a) 11 days (b) 1 day (c) 10 days (d) 9 days
  18. 18.If 8 kites cost ₹192, how much do 3 kites cost? (a) ₹187 (b) ₹96 (c) ₹72 (d) ₹576
  19. 19.If 2 kites cost ₹6, how much do 12 kites cost? (a) ₹72 (b) ₹36 (c) ₹16 (d) ₹39
  20. 20.If 5 pens cost ₹50, how much do 10 pens cost? (a) ₹110 (b) ₹500 (c) ₹55 (d) ₹100
  21. 21.8 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 18 days (b) 12 days (c) 25 days (d) 24 days
  22. 22.8 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 7 days (b) 9 days (c) 8 days (d) 10 days
  23. 23.If 3 mangoes cost ₹45, how much do 12 mangoes cost? (a) ₹180 (b) ₹195 (c) ₹54 (d) ₹540
  24. 24.If 3 pens cost ₹75, how much do 4 pens cost? (a) ₹125 (b) ₹76 (c) ₹300 (d) ₹100
  25. 25.₹189 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹147 (b) ₹42 (c) ₹21 (d) ₹168
  26. 26.If 3 notebooks cost ₹18, how much do 6 notebooks cost? (a) ₹36 (b) ₹21 (c) ₹108 (d) ₹42
  27. 27.₹385 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹245 (b) ₹35 (c) ₹175 (d) ₹210
  28. 28.₹100 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹10 (b) ₹50 (c) ₹30 (d) ₹70
  29. 29.4 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 8 days (b) 18 days (c) 10 days (d) 14 days
  30. 30.₹270 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹135 (b) ₹270 (c) ₹243 (d) ₹27
  31. 31.If 3 pens cost ₹54, how much do 6 pens cost? (a) ₹324 (b) ₹126 (c) ₹108 (d) ₹57
  32. 32.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 3 days (b) 8 days (c) 6 days (d) 7 days
  33. 33.₹63 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹43 (b) ₹63 (c) ₹21 (d) ₹42
  34. 34.If 3 notebooks cost ₹75, how much do 4 notebooks cost? (a) ₹76 (b) ₹125 (c) ₹300 (d) ₹100
  35. 35.6 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 19 days (b) 18 days (c) 14 days (d) 16 days
  36. 36.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 13 days (b) 25 days (c) 17 days (d) 9 days
  37. 37.₹330 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹165 (b) ₹240 (c) ₹30 (d) ₹90
  38. 38.If 7 mangoes cost ₹35, how much do 8 mangoes cost? (a) ₹45 (b) ₹280 (c) ₹40 (d) ₹36
  39. 39.9 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) 7 days (d) 39 days
  40. 40.₹108 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹108 (b) ₹90 (c) ₹54 (d) ₹18

Answer key

  1. ₹72
  2. ₹216
  3. ₹100
  4. ₹88
  5. 24 days
  6. ₹153
  7. 28 days
  8. 18 days
  9. 5 days
  10. 30 days
  11. ₹126
  12. 26 days
  13. ₹44
  14. ₹64
  15. ₹130
  16. 3 days
  17. 10 days
  18. ₹72
  19. ₹36
  20. ₹100
  21. 24 days
  22. 8 days
  23. ₹180
  24. ₹100
  25. ₹147
  26. ₹36
  27. ₹210
  28. ₹70
  29. 8 days
  30. ₹243
  31. ₹108
  32. 7 days
  33. ₹42
  34. ₹100
  35. 18 days
  36. 25 days
  37. ₹240
  38. ₹40
  39. 39 days
  40. ₹90

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