Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 765 · 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.₹15 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹10 (b) ₹11 (c) ₹15 (d) ₹5
2. 2.If 4 kites cost ₹16, how much do 12 kites cost? (a) ₹192 (b) ₹24 (c) ₹52 (d) ₹48
3. 3.₹390 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹39 (b) ₹273 (c) ₹195 (d) ₹117
4. 4.₹204 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹102 (b) ₹119 (c) ₹17 (d) ₹85
5. 5.₹440 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹40 (b) ₹220 (c) ₹200 (d) ₹240
6. 6.₹235 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹47 (b) ₹235 (c) ₹188 (d) ₹189
7. 7.₹320 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹40 (b) ₹200 (c) ₹120 (d) ₹160
8. 8.If 6 mangoes cost ₹132, how much do 9 mangoes cost? (a) ₹220 (b) ₹1188 (c) ₹135 (d) ₹198
9. 9.If 5 notebooks cost ₹15, how much do 4 notebooks cost? (a) ₹12 (b) ₹14 (c) ₹15 (d) ₹60
10. 10.₹45 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹9 (b) ₹18 (c) ₹36 (d) ₹27
11. 11.8 workers can build a wall in 9 days. How many days will 12 workers take, working at the same speed? (a) 6 days (b) 13 days (c) 7 days (d) 5 days
12. 12.4 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 11 days (b) 16 days (c) 9 days (d) 13 days
13. 13.9 workers can build a wall in 10 days. How many days will 3 workers take, working at the same speed? (a) 31 days (b) 4 days (c) 30 days (d) 16 days
14. 14.If 7 notebooks cost ₹63, how much do 8 notebooks cost? (a) ₹72 (b) ₹81 (c) ₹64 (d) ₹504
15. 15.₹63 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹18 (b) ₹9 (c) ₹54 (d) ₹45
16. 16.If 7 notebooks cost ₹21, how much do 12 notebooks cost? (a) ₹36 (b) ₹26 (c) ₹252 (d) ₹39
17. 17.3 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 21 days (c) 22 days (d) 15 days
18. 18.If 4 pens cost ₹68, how much do 9 pens cost? (a) ₹612 (b) ₹153 (c) ₹170 (d) ₹73
19. 19.₹342 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹304 (b) ₹171 (c) ₹342 (d) ₹38
20. 20.3 workers can build a wall in 15 days. How many days will 9 workers take, working at the same speed? (a) 45 days (b) 5 days (c) 21 days (d) 9 days
21. 21.If 4 pens cost ₹88, how much do 2 pens cost? (a) ₹66 (b) ₹176 (c) ₹44 (d) ₹86
22. 22.If 9 pens cost ₹117, how much do 6 pens cost? (a) ₹91 (b) ₹702 (c) ₹78 (d) ₹114
23. 23.₹319 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹261 (b) ₹87 (c) ₹29 (d) ₹232
24. 24.4 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 12 days (b) 4 days (c) 16 days (d) 5 days
25. 25.₹282 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹235 (b) ₹282 (c) ₹47 (d) ₹141
26. 26.If 7 kites cost ₹147, how much do 8 kites cost? (a) ₹1176 (b) ₹168 (c) ₹189 (d) ₹148
27. 27.₹528 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹308 (b) ₹264 (c) ₹220 (d) ₹44
28. 28.₹187 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹85 (b) ₹17 (c) ₹102 (d) ₹119
29. 29.If 2 notebooks cost ₹20, how much do 6 notebooks cost? (a) ₹24 (b) ₹70 (c) ₹60 (d) ₹120
30. 30.4 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 2 days (b) 6 days (c) 8 days (d) 9 days
31. 31.If 3 mangoes cost ₹51, how much do 5 mangoes cost? (a) ₹255 (b) ₹85 (c) ₹53 (d) ₹102
32. 32.₹320 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹160 (b) ₹288 (c) ₹32 (d) ₹320
33. 33.₹126 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹14 (b) ₹70 (c) ₹63 (d) ₹56
34. 34.7 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 5 days (b) 22 days (c) 13 days (d) 21 days
35. 35.If 5 pens cost ₹15, how much do 3 pens cost? (a) ₹12 (b) ₹45 (c) ₹13 (d) ₹9
36. 36.If 3 mangoes cost ₹66, how much do 10 mangoes cost? (a) ₹73 (b) ₹660 (c) ₹242 (d) ₹220
37. 37.₹208 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹16 (b) ₹144 (c) ₹104 (d) ₹64
38. 38.If 8 notebooks cost ₹128, how much do 7 notebooks cost? (a) ₹128 (b) ₹896 (c) ₹127 (d) ₹112
39. 39.If 5 kites cost ₹125, how much do 11 kites cost? (a) ₹1375 (b) ₹131 (c) ₹275 (d) ₹300
40. 40.If 7 notebooks cost ₹161, how much do 2 notebooks cost? (a) ₹156 (b) ₹69 (c) ₹322 (d) ₹46

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