Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 646 · 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. 1.3 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 1 day (b) 16 days (c) 13 days (d) 2 days
2. 2.If 5 kites cost ₹95, how much do 11 kites cost? (a) ₹1045 (b) ₹228 (c) ₹209 (d) ₹101
3. 3.3 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 9 days (b) 12 days (c) 3 days (d) 4 days
4. 4.₹304 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹152 (b) ₹38 (c) ₹190 (d) ₹114
5. 5.₹602 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹387 (b) ₹301 (c) ₹215 (d) ₹43
6. 6.4 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 3 days (b) 10 days (c) 7 days (d) 11 days
7. 7.₹490 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹147 (b) ₹49 (c) ₹245 (d) ₹343
8. 8.₹117 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹26 (b) ₹13 (c) ₹91 (d) ₹104
9. 9.If 6 mangoes cost ₹36, how much do 7 mangoes cost? (a) ₹48 (b) ₹42 (c) ₹252 (d) ₹37
10. 10.6 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 21 days (b) 22 days (c) 3 days (d) 11 days
11. 11.₹105 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹30 (b) ₹15 (c) ₹90 (d) ₹75
12. 12.If 7 notebooks cost ₹42, how much do 9 notebooks cost? (a) ₹378 (b) ₹54 (c) ₹60 (d) ₹44
13. 13.If 5 notebooks cost ₹100, how much do 2 notebooks cost? (a) ₹200 (b) ₹40 (c) ₹60 (d) ₹97
14. 14.₹123 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹123 (b) ₹83 (c) ₹82 (d) ₹41
15. 15.₹141 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹141 (b) ₹95 (c) ₹94 (d) ₹47
16. 16.₹238 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹34 (b) ₹68 (c) ₹119 (d) ₹170
17. 17.₹180 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹36 (b) ₹72 (c) ₹90 (d) ₹108
18. 18.If 2 kites cost ₹40, how much do 11 kites cost? (a) ₹49 (b) ₹220 (c) ₹440 (d) ₹240
19. 19.₹182 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹91 (b) ₹14 (c) ₹112 (d) ₹70
20. 20.5 workers can build a wall in 6 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 11 days (c) 1 day (d) 12 days
21. 21.₹108 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹27 (b) ₹81 (c) ₹108 (d) ₹54
22. 22.₹110 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹22 (b) ₹44 (c) ₹55 (d) ₹66
23. 23.9 workers can build a wall in 5 days. How many days will 3 workers take, working at the same speed? (a) 14 days (b) 16 days (c) 11 days (d) 15 days
24. 24.₹96 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹60 (b) ₹48 (c) ₹12 (d) ₹36
25. 25.9 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 19 days (b) 7 days (c) 40 days (d) 39 days
26. 26.₹315 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹245 (b) ₹35 (c) ₹70 (d) ₹280
27. 27.3 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 3 days (b) 21 days (c) 48 days (d) 4 days
28. 28.7 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 6 days (b) 8 days (c) 7 days (d) 11 days
29. 29.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 15 days (b) 4 days (c) 3 days (d) 27 days
30. 30.₹98 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹28 (b) ₹70 (c) ₹49 (d) ₹14
31. 31.If 6 mangoes cost ₹102, how much do 3 mangoes cost? (a) ₹68 (b) ₹306 (c) ₹99 (d) ₹51
32. 32.₹343 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹294 (b) ₹343 (c) ₹49 (d) ₹295
33. 33.8 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 4 days (b) 25 days (c) 14 days (d) 24 days
34. 34.If 6 pens cost ₹30, how much do 9 pens cost? (a) ₹50 (b) ₹45 (c) ₹270 (d) ₹33
35. 35.₹368 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹46 (b) ₹368 (c) ₹322 (d) ₹184
36. 36.₹192 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹112 (b) ₹16 (c) ₹96 (d) ₹80
37. 37.If 3 mangoes cost ₹9, how much do 7 mangoes cost? (a) ₹63 (b) ₹13 (c) ₹24 (d) ₹21
38. 38.If 2 pens cost ₹12, how much do 3 pens cost? (a) ₹18 (b) ₹36 (c) ₹13 (d) ₹24
39. 39.If 2 notebooks cost ₹34, how much do 5 notebooks cost? (a) ₹170 (b) ₹37 (c) ₹102 (d) ₹85
40. 40.₹481 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹37 (b) ₹148 (c) ₹370 (d) ₹333

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