← 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 19 · 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 ₹40, how much do 9 pens cost? (a) ₹100 (b) ₹360 (c) ₹45 (d) ₹90
  2. 2.If 4 pens cost ₹56, how much do 5 pens cost? (a) ₹280 (b) ₹57 (c) ₹70 (d) ₹84
  3. 3.If 8 notebooks cost ₹72, how much do 3 notebooks cost? (a) ₹36 (b) ₹216 (c) ₹27 (d) ₹67
  4. 4.If 7 kites cost ₹77, how much do 8 kites cost? (a) ₹78 (b) ₹616 (c) ₹88 (d) ₹99
  5. 5.4 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 16 days (b) 10 days (c) 4 days (d) 6 days
  6. 6.4 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 11 days (b) 9 days (c) 8 days (d) 7 days
  7. 7.₹441 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹245 (b) ₹49 (c) ₹196 (d) ₹294
  8. 8.If 5 mangoes cost ₹35, how much do 9 mangoes cost? (a) ₹39 (b) ₹63 (c) ₹315 (d) ₹70
  9. 9.4 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 12 days (b) 28 days (c) 16 days (d) 7 days
  10. 10.8 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 9 days (b) 8 days (c) 10 days (d) 7 days
  11. 11.₹248 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹124 (b) ₹31 (c) ₹217 (d) ₹248
  12. 12.8 workers can build a wall in 6 days. How many days will 12 workers take, working at the same speed? (a) 2 days (b) 9 days (c) 4 days (d) 10 days
  13. 13.If 6 kites cost ₹72, how much do 12 kites cost? (a) ₹78 (b) ₹144 (c) ₹864 (d) ₹156
  14. 14.If 5 mangoes cost ₹75, how much do 6 mangoes cost? (a) ₹450 (b) ₹76 (c) ₹105 (d) ₹90
  15. 15.3 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 9 days (c) 13 days (d) 12 days
  16. 16.4 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 10 days (c) 3 days (d) 11 days
  17. 17.3 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 13 days (b) 16 days (c) 2 days (d) 1 day
  18. 18.If 6 pens cost ₹108, how much do 12 pens cost? (a) ₹114 (b) ₹216 (c) ₹1296 (d) ₹234
  19. 19.₹72 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹36 (b) ₹27 (c) ₹9 (d) ₹45
  20. 20.4 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 12 days (b) 8 days (c) 5 days (d) 20 days
  21. 21.4 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 5 days (b) 4 days (c) 18 days (d) 3 days
  22. 22.₹176 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹80 (b) ₹88 (c) ₹16 (d) ₹96
  23. 23.7 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
  24. 24.If 5 mangoes cost ₹125, how much do 2 mangoes cost? (a) ₹250 (b) ₹122 (c) ₹75 (d) ₹50
  25. 25.₹120 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹12 (b) ₹36 (c) ₹84 (d) ₹60
  26. 26.If 2 mangoes cost ₹6, how much do 6 mangoes cost? (a) ₹18 (b) ₹10 (c) ₹36 (d) ₹21
  27. 27.₹63 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹7 (b) ₹63 (c) ₹56 (d) ₹57
  28. 28.If 3 notebooks cost ₹24, how much do 4 notebooks cost? (a) ₹96 (b) ₹25 (c) ₹32 (d) ₹40
  29. 29.If 3 notebooks cost ₹39, how much do 5 notebooks cost? (a) ₹65 (b) ₹41 (c) ₹195 (d) ₹78
  30. 30.3 workers can build a wall in 4 days. How many days will 6 workers take, working at the same speed? (a) 7 days (b) 8 days (c) 2 days (d) 1 day
  31. 31.₹320 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹288 (b) ₹32 (c) ₹320 (d) ₹160
  32. 32.If 5 mangoes cost ₹55, how much do 6 mangoes cost? (a) ₹66 (b) ₹56 (c) ₹77 (d) ₹330
  33. 33.₹88 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹66 (b) ₹88 (c) ₹22 (d) ₹44
  34. 34.₹518 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹333 (b) ₹259 (c) ₹185 (d) ₹37
  35. 35.5 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 7 days (b) 9 days (c) 11 days (d) 10 days
  36. 36.If 3 mangoes cost ₹30, how much do 5 mangoes cost? (a) ₹60 (b) ₹32 (c) ₹50 (d) ₹150
  37. 37.6 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 40 days (c) 17 days (d) 39 days
  38. 38.₹117 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹13 (b) ₹26 (c) ₹104 (d) ₹91
  39. 39.If 5 mangoes cost ₹25, how much do 10 mangoes cost? (a) ₹55 (b) ₹250 (c) ₹50 (d) ₹30
  40. 40.8 workers can build a wall in 6 days. How many days will 4 workers take, working at the same speed? (a) 10 days (b) 3 days (c) 2 days (d) 12 days

Answer key

  1. ₹90
  2. ₹70
  3. ₹27
  4. ₹88
  5. 16 days
  6. 8 days
  7. ₹245
  8. ₹63
  9. 28 days
  10. 8 days
  11. ₹217
  12. 4 days
  13. ₹144
  14. ₹90
  15. 12 days
  16. 10 days
  17. 1 day
  18. ₹216
  19. ₹45
  20. 20 days
  21. 4 days
  22. ₹96
  23. 7 days
  24. ₹50
  25. ₹84
  26. ₹18
  27. ₹56
  28. ₹32
  29. ₹65
  30. 2 days
  31. ₹288
  32. ₹66
  33. ₹66
  34. ₹333
  35. 10 days
  36. ₹50
  37. 39 days
  38. ₹91
  39. ₹50
  40. 12 days

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