Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 463 · 40 questions

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.

1. 1.₹140 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹90 (b) ₹50 (c) ₹10 (d) ₹70
2. 2.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 3 days (b) 4 days (c) 2 days (d) 19 days
3. 3.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 8 days (b) 3 days (c) 7 days (d) 6 days
4. 4.₹574 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹205 (b) ₹369 (c) ₹41 (d) ₹287
5. 5.If 5 kites cost ₹75, how much do 12 kites cost? (a) ₹195 (b) ₹900 (c) ₹82 (d) ₹180
6. 6.If 2 pens cost ₹28, how much do 9 pens cost? (a) ₹252 (b) ₹140 (c) ₹126 (d) ₹35
7. 7.6 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 33 days (b) 34 days (c) 7 days (d) 15 days
8. 8.If 9 mangoes cost ₹117, how much do 3 mangoes cost? (a) ₹52 (b) ₹39 (c) ₹111 (d) ₹351
9. 9.If 8 notebooks cost ₹128, how much do 11 notebooks cost? (a) ₹192 (b) ₹131 (c) ₹1408 (d) ₹176
10. 10.₹91 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹7 (b) ₹63 (c) ₹70 (d) ₹28
11. 11.₹275 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹25 (b) ₹175 (c) ₹125 (d) ₹150
12. 12.4 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 16 days (b) 28 days (c) 7 days (d) 12 days
13. 13.₹225 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹180 (b) ₹90 (c) ₹135 (d) ₹45
14. 14.₹432 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹252 (b) ₹36 (c) ₹216 (d) ₹180
15. 15.₹310 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹155 (b) ₹217 (c) ₹31 (d) ₹93
16. 16.₹407 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹37 (b) ₹222 (c) ₹259 (d) ₹185
17. 17.₹396 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹252 (b) ₹198 (c) ₹144 (d) ₹36
18. 18.If 2 pens cost ₹10, how much do 3 pens cost? (a) ₹11 (b) ₹15 (c) ₹20 (d) ₹30
19. 19.5 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 6 days (b) 5 days (c) 13 days (d) 4 days
20. 20.If 4 kites cost ₹32, how much do 10 kites cost? (a) ₹320 (b) ₹80 (c) ₹88 (d) ₹38
21. 21.₹140 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹28 (b) ₹70 (c) ₹112 (d) ₹140
22. 22.If 3 notebooks cost ₹18, how much do 4 notebooks cost? (a) ₹19 (b) ₹72 (c) ₹30 (d) ₹24
23. 23.₹400 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹150 (b) ₹250 (c) ₹50 (d) ₹200
24. 24.4 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 5 days (b) 15 days (c) 9 days (d) 14 days
25. 25.₹217 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹186 (b) ₹187 (c) ₹31 (d) ₹217
26. 26.If 3 pens cost ₹9, how much do 7 pens cost? (a) ₹63 (b) ₹13 (c) ₹24 (d) ₹21
27. 27.₹143 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹11 (b) ₹99 (c) ₹55 (d) ₹88
28. 28.8 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 14 days (b) 32 days (c) 33 days (d) 2 days
29. 29.If 9 pens cost ₹72, how much do 8 pens cost? (a) ₹64 (b) ₹71 (c) ₹576 (d) ₹72
30. 30.₹44 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹44 (b) ₹33 (c) ₹22 (d) ₹11
31. 31.If 2 mangoes cost ₹6, how much do 8 mangoes cost? (a) ₹12 (b) ₹27 (c) ₹24 (d) ₹48
32. 32.If 2 kites cost ₹44, how much do 7 kites cost? (a) ₹49 (b) ₹308 (c) ₹154 (d) ₹176
33. 33.If 6 mangoes cost ₹102, how much do 9 mangoes cost? (a) ₹170 (b) ₹153 (c) ₹918 (d) ₹105
34. 34.8 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 9 days (b) 8 days (c) 6 days (d) 7 days
35. 35.If 6 notebooks cost ₹96, how much do 2 notebooks cost? (a) ₹48 (b) ₹192 (c) ₹92 (d) ₹32
36. 36.If 7 kites cost ₹119, how much do 12 kites cost? (a) ₹1428 (b) ₹124 (c) ₹204 (d) ₹221
37. 37.₹336 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹168 (b) ₹210 (c) ₹42 (d) ₹126
38. 38.If 4 kites cost ₹20, how much do 7 kites cost? (a) ₹23 (b) ₹140 (c) ₹35 (d) ₹40
39. 39.If 2 pens cost ₹48, how much do 3 pens cost? (a) ₹72 (b) ₹144 (c) ₹49 (d) ₹96
40. 40.If 8 mangoes cost ₹112, how much do 2 mangoes cost? (a) ₹106 (b) ₹224 (c) ₹42 (d) ₹28

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