Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 60 · 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. 1.9 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 1 day (b) 21 days (c) 22 days (d) 13 days
2. 2.If 9 mangoes cost ₹108, how much do 12 mangoes cost? (a) ₹111 (b) ₹156 (c) ₹1296 (d) ₹144
3. 3.₹147 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹21 (b) ₹105 (c) ₹126 (d) ₹42
4. 4.₹480 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹240 (b) ₹336 (c) ₹144 (d) ₹48
5. 5.7 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 13 days (b) 17 days (c) 22 days (d) 21 days
6. 6.If 5 mangoes cost ₹80, how much do 6 mangoes cost? (a) ₹480 (b) ₹112 (c) ₹81 (d) ₹96
7. 7.7 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 3 days (b) 29 days (c) 13 days (d) 28 days
8. 8.₹55 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹44 (b) ₹33 (c) ₹22 (d) ₹11
9. 9.If 7 mangoes cost ₹28, how much do 4 mangoes cost? (a) ₹20 (b) ₹112 (c) ₹16 (d) ₹25
10. 10.₹330 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹90 (b) ₹30 (c) ₹240 (d) ₹165
11. 11.₹171 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹95 (b) ₹19 (c) ₹76 (d) ₹114
12. 12.₹225 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹225 (b) ₹200 (c) ₹201 (d) ₹25
13. 13.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 6 days (b) 15 days (c) 8 days (d) 7 days
14. 14.If 2 notebooks cost ₹38, how much do 11 notebooks cost? (a) ₹209 (b) ₹47 (c) ₹418 (d) ₹228
15. 15.₹377 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹29 (b) ₹116 (c) ₹261 (d) ₹290
16. 16.₹564 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹329 (b) ₹282 (c) ₹235 (d) ₹47
17. 17.₹444 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹37 (b) ₹185 (c) ₹259 (d) ₹222
18. 18.If 5 kites cost ₹105, how much do 10 kites cost? (a) ₹231 (b) ₹1050 (c) ₹210 (d) ₹110
19. 19.If 5 kites cost ₹90, how much do 6 kites cost? (a) ₹540 (b) ₹126 (c) ₹91 (d) ₹108
20. 20.3 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 2 days (b) 13 days (c) 16 days (d) 1 day
21. 21.₹40 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹20 (b) ₹25 (c) ₹15 (d) ₹5
22. 22.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 49 days (b) 9 days (c) 19 days (d) 4 days
23. 23.₹200 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹100 (b) ₹175 (c) ₹25 (d) ₹200
24. 24.If 4 notebooks cost ₹56, how much do 11 notebooks cost? (a) ₹616 (b) ₹63 (c) ₹168 (d) ₹154
25. 25.If 3 kites cost ₹24, how much do 6 kites cost? (a) ₹144 (b) ₹27 (c) ₹56 (d) ₹48
26. 26.If 6 pens cost ₹54, how much do 4 pens cost? (a) ₹36 (b) ₹216 (c) ₹45 (d) ₹52
27. 27.3 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 25 days (b) 9 days (c) 17 days (d) 13 days
28. 28.8 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 57 days (b) 8 days (c) 20 days (d) 56 days
29. 29.If 3 kites cost ₹12, how much do 9 kites cost? (a) ₹36 (b) ₹18 (c) ₹108 (d) ₹40
30. 30.₹294 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹42 (b) ₹294 (c) ₹252 (d) ₹147
31. 31.4 workers can build a wall in 4 days. How many days will 8 workers take, working at the same speed? (a) 1 day (b) 2 days (c) 3 days (d) 8 days
32. 32.₹272 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹170 (b) ₹102 (c) ₹34 (d) ₹136
33. 33.₹297 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹231 (b) ₹33 (c) ₹264 (d) ₹66
34. 34.If 7 notebooks cost ₹154, how much do 3 notebooks cost? (a) ₹462 (b) ₹88 (c) ₹150 (d) ₹66
35. 35.If 8 pens cost ₹136, how much do 2 pens cost? (a) ₹272 (b) ₹130 (c) ₹51 (d) ₹34
36. 36.If 7 pens cost ₹63, how much do 2 pens cost? (a) ₹58 (b) ₹27 (c) ₹126 (d) ₹18
37. 37.If 3 kites cost ₹66, how much do 10 kites cost? (a) ₹660 (b) ₹242 (c) ₹73 (d) ₹220
38. 38.₹115 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹23 (b) ₹69 (c) ₹46 (d) ₹92
39. 39.₹429 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹156 (b) ₹39 (c) ₹273 (d) ₹312
40. 40.3 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 8 days (b) 12 days (c) 6 days (d) 7 days

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