← 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 727 · 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 7 pens cost ₹35, how much do 4 pens cost? (a) ₹32 (b) ₹25 (c) ₹140 (d) ₹20
  2. 2.If 9 notebooks cost ₹63, how much do 3 notebooks cost? (a) ₹57 (b) ₹28 (c) ₹21 (d) ₹189
  3. 3.If 2 pens cost ₹10, how much do 6 pens cost? (a) ₹35 (b) ₹60 (c) ₹30 (d) ₹14
  4. 4.If 2 mangoes cost ₹12, how much do 4 mangoes cost? (a) ₹48 (b) ₹14 (c) ₹30 (d) ₹24
  5. 5.₹110 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹60 (b) ₹50 (c) ₹10 (d) ₹55
  6. 6.₹160 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹80 (b) ₹96 (c) ₹64 (d) ₹32
  7. 7.6 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 13 days (b) 12 days (c) 3 days (d) 9 days
  8. 8.4 workers can build a wall in 4 days. How many days will 8 workers take, working at the same speed? (a) 8 days (b) 2 days (c) 3 days (d) 1 day
  9. 9.₹121 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹11 (b) ₹33 (c) ₹88 (d) ₹99
  10. 10.₹154 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹84 (b) ₹77 (c) ₹14 (d) ₹70
  11. 11.₹160 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹20 (b) ₹80 (c) ₹100 (d) ₹60
  12. 12.5 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 7 days (b) 11 days (c) 16 days (d) 15 days
  13. 13.₹550 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹300 (b) ₹250 (c) ₹275 (d) ₹50
  14. 14.If 6 mangoes cost ₹96, how much do 3 mangoes cost? (a) ₹48 (b) ₹288 (c) ₹64 (d) ₹93
  15. 15.If 7 notebooks cost ₹154, how much do 10 notebooks cost? (a) ₹1540 (b) ₹157 (c) ₹242 (d) ₹220
  16. 16.₹187 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹17 (b) ₹85 (c) ₹119 (d) ₹102
  17. 17.3 workers can build a wall in 15 days. How many days will 9 workers take, working at the same speed? (a) 45 days (b) 5 days (c) 9 days (d) 21 days
  18. 18.If 5 mangoes cost ₹125, how much do 4 mangoes cost? (a) ₹125 (b) ₹500 (c) ₹100 (d) ₹124
  19. 19.If 9 notebooks cost ₹36, how much do 10 notebooks cost? (a) ₹37 (b) ₹44 (c) ₹360 (d) ₹40
  20. 20.If 9 mangoes cost ₹36, how much do 10 mangoes cost? (a) ₹360 (b) ₹37 (c) ₹40 (d) ₹44
  21. 21.₹585 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹405 (b) ₹360 (c) ₹225 (d) ₹45
  22. 22.7 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 6 days (b) 1 day (c) 7 days (d) 8 days
  23. 23.If 5 kites cost ₹105, how much do 9 kites cost? (a) ₹945 (b) ₹210 (c) ₹189 (d) ₹109
  24. 24.If 2 pens cost ₹38, how much do 9 pens cost? (a) ₹342 (b) ₹45 (c) ₹190 (d) ₹171
  25. 25.3 workers can build a wall in 6 days. How many days will 9 workers take, working at the same speed? (a) 12 days (b) 3 days (c) 18 days (d) 2 days
  26. 26.₹360 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹108 (b) ₹180 (c) ₹36 (d) ₹252
  27. 27.₹84 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹42 (b) ₹84 (c) ₹12 (d) ₹72
  28. 28.5 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 7 days (b) 10 days (c) 11 days (d) 9 days
  29. 29.If 4 mangoes cost ₹84, how much do 7 mangoes cost? (a) ₹87 (b) ₹147 (c) ₹588 (d) ₹168
  30. 30.If 9 kites cost ₹216, how much do 3 kites cost? (a) ₹210 (b) ₹648 (c) ₹96 (d) ₹72
  31. 31.₹60 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹30 (b) ₹60 (c) ₹10 (d) ₹50
  32. 32.₹387 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹43 (b) ₹86 (c) ₹344 (d) ₹301
  33. 33.If 6 mangoes cost ₹96, how much do 2 mangoes cost? (a) ₹192 (b) ₹32 (c) ₹92 (d) ₹48
  34. 34.6 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 43 days (b) 10 days (c) 18 days (d) 42 days
  35. 35.If 2 notebooks cost ₹6, how much do 9 notebooks cost? (a) ₹30 (b) ₹27 (c) ₹54 (d) ₹13
  36. 36.8 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 52 days (c) 7 days (d) 53 days
  37. 37.If 5 notebooks cost ₹15, how much do 12 notebooks cost? (a) ₹22 (b) ₹36 (c) ₹39 (d) ₹180
  38. 38.₹396 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹36 (b) ₹180 (c) ₹198 (d) ₹216
  39. 39.₹205 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹41 (b) ₹164 (c) ₹123 (d) ₹82
  40. 40.9 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 8 days (b) 10 days (c) 1 day (d) 9 days

Answer key

  1. ₹20
  2. ₹21
  3. ₹30
  4. ₹24
  5. ₹60
  6. ₹96
  7. 12 days
  8. 2 days
  9. ₹88
  10. ₹84
  11. ₹100
  12. 15 days
  13. ₹300
  14. ₹48
  15. ₹220
  16. ₹102
  17. 5 days
  18. ₹100
  19. ₹40
  20. ₹40
  21. ₹360
  22. 7 days
  23. ₹189
  24. ₹171
  25. 2 days
  26. ₹252
  27. ₹72
  28. 10 days
  29. ₹147
  30. ₹72
  31. ₹50
  32. ₹301
  33. ₹32
  34. 42 days
  35. ₹27
  36. 52 days
  37. ₹36
  38. ₹216
  39. ₹123
  40. 9 days

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