Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 715 · 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.₹286 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹156 (b) ₹130 (c) ₹143 (d) ₹26
2. 2.If 5 mangoes cost ₹105, how much do 8 mangoes cost? (a) ₹189 (b) ₹168 (c) ₹108 (d) ₹840
3. 3.9 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 26 days (b) 27 days (c) 13 days (d) 28 days
4. 4.₹176 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹96 (b) ₹80 (c) ₹88 (d) ₹16
5. 5.₹105 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹90 (b) ₹30 (c) ₹75 (d) ₹15
6. 6.If 5 pens cost ₹40, how much do 4 pens cost? (a) ₹32 (b) ₹39 (c) ₹40 (d) ₹160
7. 7.If 7 notebooks cost ₹70, how much do 12 notebooks cost? (a) ₹840 (b) ₹130 (c) ₹120 (d) ₹75
8. 8.3 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 9 days (b) 17 days (c) 13 days (d) 25 days
9. 9.If 2 mangoes cost ₹36, how much do 4 mangoes cost? (a) ₹144 (b) ₹38 (c) ₹72 (d) ₹90
10. 10.₹308 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹308 (b) ₹154 (c) ₹44 (d) ₹264
11. 11.₹294 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹21 (b) ₹147 (c) ₹189 (d) ₹105
12. 12.₹392 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹343 (b) ₹392 (c) ₹196 (d) ₹49
13. 13.If 7 notebooks cost ₹21, how much do 2 notebooks cost? (a) ₹42 (b) ₹16 (c) ₹9 (d) ₹6
14. 14.9 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 5 days (b) 10 days (c) 8 days (d) 9 days
15. 15.₹330 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹60 (b) ₹30 (c) ₹270 (d) ₹165
16. 16.₹136 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹136 (b) ₹17 (c) ₹68 (d) ₹119
17. 17.If 3 kites cost ₹42, how much do 4 kites cost? (a) ₹168 (b) ₹70 (c) ₹43 (d) ₹56
18. 18.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 4 days (c) 19 days (d) 49 days
19. 19.₹192 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹192 (b) ₹96 (c) ₹32 (d) ₹160
20. 20.6 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 34 days (c) 33 days (d) 15 days
21. 21.If 2 notebooks cost ₹10, how much do 3 notebooks cost? (a) ₹15 (b) ₹30 (c) ₹20 (d) ₹11
22. 22.₹108 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹108 (b) ₹54 (c) ₹81 (d) ₹27
23. 23.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 13 days (b) 25 days (c) 9 days (d) 17 days
24. 24.6 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 22 days (b) 3 days (c) 11 days (d) 21 days
25. 25.5 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 6 days (b) 20 days (c) 5 days (d) 15 days
26. 26.₹78 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹26 (b) ₹78 (c) ₹39 (d) ₹52
27. 27.₹175 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹140 (b) ₹105 (c) ₹70 (d) ₹35
28. 28.₹162 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹81 (b) ₹126 (c) ₹36 (d) ₹18
29. 29.8 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 7 days (d) 5 days
30. 30.If 4 pens cost ₹84, how much do 3 pens cost? (a) ₹63 (b) ₹83 (c) ₹252 (d) ₹84
31. 31.5 workers can build a wall in 14 days. How many days will 10 workers take, working at the same speed? (a) 19 days (b) 28 days (c) 7 days (d) 9 days
32. 32.If 3 notebooks cost ₹60, how much do 10 notebooks cost? (a) ₹200 (b) ₹600 (c) ₹220 (d) ₹67
33. 33.₹185 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹148 (b) ₹37 (c) ₹111 (d) ₹74
34. 34.If 6 notebooks cost ₹18, how much do 3 notebooks cost? (a) ₹12 (b) ₹9 (c) ₹15 (d) ₹54
35. 35.₹378 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹27 (b) ₹135 (c) ₹189 (d) ₹243
36. 36.₹42 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹6 (b) ₹24 (c) ₹18 (d) ₹21
37. 37.₹135 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹90 (b) ₹91 (c) ₹45 (d) ₹135
38. 38.If 8 pens cost ₹168, how much do 3 pens cost? (a) ₹504 (b) ₹63 (c) ₹84 (d) ₹163
39. 39.If 5 mangoes cost ₹55, how much do 10 mangoes cost? (a) ₹110 (b) ₹550 (c) ₹121 (d) ₹60
40. 40.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 2 days (b) 19 days (c) 3 days (d) 4 days

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