← 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 924 · 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.₹119 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹17 (b) ₹51 (c) ₹85 (d) ₹68
  2. 2.₹123 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹123 (b) ₹83 (c) ₹82 (d) ₹41
  3. 3.If 3 kites cost ₹33, how much do 7 kites cost? (a) ₹77 (b) ₹231 (c) ₹37 (d) ₹88
  4. 4.9 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 8 days (b) 1 day (c) 10 days (d) 9 days
  5. 5.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 25 days (b) 13 days (c) 9 days (d) 17 days
  6. 6.If 8 pens cost ₹152, how much do 11 pens cost? (a) ₹228 (b) ₹1672 (c) ₹155 (d) ₹209
  7. 7.If 6 kites cost ₹48, how much do 8 kites cost? (a) ₹72 (b) ₹50 (c) ₹384 (d) ₹64
  8. 8.If 2 pens cost ₹28, how much do 4 pens cost? (a) ₹30 (b) ₹112 (c) ₹70 (d) ₹56
  9. 9.5 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 6 days (d) 5 days
  10. 10.₹119 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹102 (b) ₹119 (c) ₹17 (d) ₹103
  11. 11.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 4 days (b) 2 days (c) 3 days (d) 19 days
  12. 12.If 7 notebooks cost ₹63, how much do 8 notebooks cost? (a) ₹81 (b) ₹504 (c) ₹72 (d) ₹64
  13. 13.If 3 mangoes cost ₹15, how much do 7 mangoes cost? (a) ₹105 (b) ₹40 (c) ₹35 (d) ₹19
  14. 14.If 3 pens cost ₹48, how much do 2 pens cost? (a) ₹96 (b) ₹48 (c) ₹47 (d) ₹32
  15. 15.If 7 mangoes cost ₹119, how much do 3 mangoes cost? (a) ₹68 (b) ₹51 (c) ₹357 (d) ₹115
  16. 16.4 workers can build a wall in 9 days. How many days will 12 workers take, working at the same speed? (a) 3 days (b) 27 days (c) 17 days (d) 1 day
  17. 17.₹155 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹93 (b) ₹62 (c) ₹124 (d) ₹31
  18. 18.If 9 notebooks cost ₹153, how much do 7 notebooks cost? (a) ₹136 (b) ₹151 (c) ₹1071 (d) ₹119
  19. 19.If 4 kites cost ₹56, how much do 10 kites cost? (a) ₹560 (b) ₹140 (c) ₹62 (d) ₹154
  20. 20.9 workers can build a wall in 8 days. How many days will 3 workers take, working at the same speed? (a) 14 days (b) 25 days (c) 2 days (d) 24 days
  21. 21.If 8 pens cost ₹40, how much do 4 pens cost? (a) ₹160 (b) ₹25 (c) ₹20 (d) ₹36
  22. 22.5 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 1 day (c) 11 days (d) 10 days
  23. 23.If 3 mangoes cost ₹15, how much do 4 mangoes cost? (a) ₹16 (b) ₹60 (c) ₹20 (d) ₹25
  24. 24.If 5 pens cost ₹40, how much do 6 pens cost? (a) ₹48 (b) ₹240 (c) ₹56 (d) ₹41
  25. 25.3 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 2 days (b) 3 days (c) 4 days (d) 13 days
  26. 26.If 7 kites cost ₹161, how much do 2 kites cost? (a) ₹69 (b) ₹156 (c) ₹322 (d) ₹46
  27. 27.8 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 3 days (b) 18 days (c) 48 days (d) 6 days
  28. 28.7 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 1 day (b) 22 days (c) 21 days (d) 11 days
  29. 29.8 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) 2 days (d) 7 days
  30. 30.6 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 5 days (b) 12 days (c) 7 days (d) 6 days
  31. 31.9 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 10 days (b) 9 days (c) 8 days (d) 13 days
  32. 32.If 2 kites cost ₹44, how much do 3 kites cost? (a) ₹45 (b) ₹66 (c) ₹88 (d) ₹132
  33. 33.3 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 13 days (b) 9 days (c) 25 days (d) 17 days
  34. 34.4 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 6 days (b) 4 days (c) 5 days (d) 3 days
  35. 35.₹400 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹250 (b) ₹200 (c) ₹150 (d) ₹50
  36. 36.4 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 7 days (b) 9 days (c) 8 days (d) 5 days
  37. 37.8 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 9 days (b) 10 days (c) 7 days (d) 8 days
  38. 38.₹441 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹196 (b) ₹49 (c) ₹294 (d) ₹245
  39. 39.₹341 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹31 (b) ₹124 (c) ₹217 (d) ₹248
  40. 40.₹320 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹32 (b) ₹320 (c) ₹160 (d) ₹288

Answer key

  1. ₹68
  2. ₹82
  3. ₹77
  4. 9 days
  5. 25 days
  6. ₹209
  7. ₹64
  8. ₹56
  9. 5 days
  10. ₹102
  11. 3 days
  12. ₹72
  13. ₹35
  14. ₹32
  15. ₹51
  16. 3 days
  17. ₹93
  18. ₹119
  19. ₹140
  20. 24 days
  21. ₹20
  22. 10 days
  23. ₹20
  24. ₹48
  25. 3 days
  26. ₹46
  27. 48 days
  28. 21 days
  29. 8 days
  30. 6 days
  31. 9 days
  32. ₹66
  33. 9 days
  34. 4 days
  35. ₹250
  36. 8 days
  37. 8 days
  38. ₹245
  39. ₹217
  40. ₹288

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