← 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 753 · 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.₹200 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹40 (b) ₹100 (c) ₹200 (d) ₹160
  2. 2.If 8 pens cost ₹64, how much do 9 pens cost? (a) ₹80 (b) ₹65 (c) ₹72 (d) ₹576
  3. 3.₹66 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹33 (b) ₹54 (c) ₹12 (d) ₹6
  4. 4.8 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 1 day (b) 28 days (c) 13 days (d) 29 days
  5. 5.₹75 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹50 (b) ₹25 (c) ₹51 (d) ₹75
  6. 6.8 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 7 days (c) 53 days (d) 52 days
  7. 7.If 3 pens cost ₹30, how much do 5 pens cost? (a) ₹50 (b) ₹32 (c) ₹60 (d) ₹150
  8. 8.3 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 7 days (c) 9 days (d) 5 days
  9. 9.9 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 21 days (c) 63 days (d) 64 days
  10. 10.If 7 kites cost ₹133, how much do 12 kites cost? (a) ₹247 (b) ₹1596 (c) ₹228 (d) ₹138
  11. 11.5 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 36 days (c) 17 days (d) 35 days
  12. 12.₹429 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹330 (b) ₹132 (c) ₹33 (d) ₹297
  13. 13.If 6 pens cost ₹102, how much do 7 pens cost? (a) ₹103 (b) ₹136 (c) ₹714 (d) ₹119
  14. 14.₹520 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹40 (b) ₹200 (c) ₹320 (d) ₹260
  15. 15.₹490 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹35 (b) ₹175 (c) ₹245 (d) ₹315
  16. 16.₹338 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹169 (b) ₹104 (c) ₹26 (d) ₹234
  17. 17.₹209 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹19 (b) ₹133 (c) ₹114 (d) ₹95
  18. 18.5 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 11 days (b) 10 days (c) 16 days (d) 12 days
  19. 19.If 7 notebooks cost ₹105, how much do 3 notebooks cost? (a) ₹45 (b) ₹60 (c) ₹315 (d) ₹101
  20. 20.₹429 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹234 (b) ₹39 (c) ₹273 (d) ₹195
  21. 21.If 4 notebooks cost ₹24, how much do 9 notebooks cost? (a) ₹29 (b) ₹54 (c) ₹216 (d) ₹60
  22. 22.4 workers can build a wall in 15 days. How many days will 10 workers take, working at the same speed? (a) 9 days (b) 7 days (c) 21 days (d) 6 days
  23. 23.₹275 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹25 (b) ₹200 (c) ₹225 (d) ₹75
  24. 24.₹333 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹297 (b) ₹37 (c) ₹333 (d) ₹296
  25. 25.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 3 days (b) 15 days (c) 27 days (d) 4 days
  26. 26.If 2 kites cost ₹18, how much do 10 kites cost? (a) ₹180 (b) ₹26 (c) ₹90 (d) ₹99
  27. 27.₹231 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹198 (b) ₹199 (c) ₹231 (d) ₹33
  28. 28.₹56 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹28 (b) ₹7 (c) ₹21 (d) ₹35
  29. 29.8 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 12 days (b) 4 days (c) 17 days (d) 16 days
  30. 30.₹528 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹264 (b) ₹48 (c) ₹432 (d) ₹96
  31. 31.₹66 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹30 (b) ₹6 (c) ₹33 (d) ₹36
  32. 32.8 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 2 days (b) 7 days (c) 9 days (d) 8 days
  33. 33.3 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 48 days (b) 21 days (c) 4 days (d) 3 days
  34. 34.₹50 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹25 (b) ₹35 (c) ₹5 (d) ₹15
  35. 35.If 3 mangoes cost ₹12, how much do 7 mangoes cost? (a) ₹84 (b) ₹32 (c) ₹16 (d) ₹28
  36. 36.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 19 days (b) 2 days (c) 4 days (d) 3 days
  37. 37.If 2 pens cost ₹26, how much do 5 pens cost? (a) ₹29 (b) ₹65 (c) ₹130 (d) ₹78
  38. 38.If 3 pens cost ₹63, how much do 2 pens cost? (a) ₹62 (b) ₹126 (c) ₹63 (d) ₹42
  39. 39.If 8 pens cost ₹72, how much do 9 pens cost? (a) ₹90 (b) ₹648 (c) ₹73 (d) ₹81
  40. 40.₹468 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹288 (b) ₹234 (c) ₹180 (d) ₹36

Answer key

  1. ₹160
  2. ₹72
  3. ₹54
  4. 28 days
  5. ₹50
  6. 52 days
  7. ₹50
  8. 9 days
  9. 63 days
  10. ₹228
  11. 35 days
  12. ₹297
  13. ₹119
  14. ₹320
  15. ₹315
  16. ₹234
  17. ₹114
  18. 10 days
  19. ₹45
  20. ₹234
  21. ₹54
  22. 6 days
  23. ₹200
  24. ₹296
  25. 3 days
  26. ₹90
  27. ₹198
  28. ₹35
  29. 16 days
  30. ₹432
  31. ₹36
  32. 8 days
  33. 3 days
  34. ₹35
  35. ₹28
  36. 3 days
  37. ₹65
  38. ₹42
  39. ₹81
  40. ₹288

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