Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 601 · 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.₹280 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹100 (b) ₹180 (c) ₹140 (d) ₹20
2. 2.4 workers can build a wall in 6 days. How many days will 8 workers take, working at the same speed? (a) 3 days (b) 12 days (c) 2 days (d) 10 days
3. 3.₹240 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹24 (b) ₹72 (c) ₹168 (d) ₹120
4. 4.3 workers can build a wall in 14 days. How many days will 6 workers take, working at the same speed? (a) 7 days (b) 11 days (c) 17 days (d) 28 days
5. 5.₹287 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹205 (b) ₹164 (c) ₹41 (d) ₹123
6. 6.If 4 kites cost ₹92, how much do 12 kites cost? (a) ₹299 (b) ₹100 (c) ₹1104 (d) ₹276
7. 7.If 2 notebooks cost ₹18, how much do 11 notebooks cost? (a) ₹108 (b) ₹198 (c) ₹27 (d) ₹99
8. 8.₹77 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹56 (b) ₹7 (c) ₹49 (d) ₹28
9. 9.7 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 11 days (b) 14 days (c) 13 days (d) 15 days
10. 10.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 15 days (b) 27 days (c) 4 days (d) 3 days
11. 11.7 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 5 days (b) 15 days (c) 14 days (d) 11 days
12. 12.6 workers can build a wall in 6 days. How many days will 12 workers take, working at the same speed? (a) 12 days (b) 4 days (c) 3 days (d) 2 days
13. 13.6 workers can build a wall in 14 days. How many days will 4 workers take, working at the same speed? (a) 16 days (b) 21 days (c) 22 days (d) 12 days
14. 14.If 6 mangoes cost ₹144, how much do 5 mangoes cost? (a) ₹120 (b) ₹144 (c) ₹720 (d) ₹143
15. 15.7 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 17 days (b) 21 days (c) 13 days (d) 22 days
16. 16.₹120 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹10 (b) ₹60 (c) ₹70 (d) ₹50
17. 17.₹121 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹11 (b) ₹88 (c) ₹99 (d) ₹33
18. 18.₹88 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹44 (b) ₹40 (c) ₹48 (d) ₹8
19. 19.9 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 18 days (c) 17 days (d) 19 days
20. 20.5 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 36 days (b) 17 days (c) 11 days (d) 35 days
21. 21.₹352 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹132 (b) ₹220 (c) ₹176 (d) ₹44
22. 22.3 workers can build a wall in 15 days. How many days will 9 workers take, working at the same speed? (a) 21 days (b) 5 days (c) 9 days (d) 45 days
23. 23.₹121 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹11 (b) ₹55 (c) ₹77 (d) ₹66
24. 24.If 8 kites cost ₹96, how much do 6 kites cost? (a) ₹576 (b) ₹94 (c) ₹72 (d) ₹84
25. 25.8 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 10 days (b) 16 days (c) 9 days (d) 14 days
26. 26.If 7 pens cost ₹63, how much do 8 pens cost? (a) ₹504 (b) ₹64 (c) ₹81 (d) ₹72
27. 27.If 2 kites cost ₹46, how much do 10 kites cost? (a) ₹54 (b) ₹230 (c) ₹253 (d) ₹460
28. 28.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 17 days (b) 9 days (c) 13 days (d) 25 days
29. 29.₹50 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹15 (b) ₹5 (c) ₹35 (d) ₹25
30. 30.₹297 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹27 (b) ₹54 (c) ₹243 (d) ₹270
31. 31.If 7 notebooks cost ₹70, how much do 8 notebooks cost? (a) ₹90 (b) ₹560 (c) ₹80 (d) ₹71
32. 32.If 6 mangoes cost ₹138, how much do 7 mangoes cost? (a) ₹966 (b) ₹161 (c) ₹184 (d) ₹139
33. 33.If 4 pens cost ₹32, how much do 5 pens cost? (a) ₹160 (b) ₹33 (c) ₹40 (d) ₹48
34. 34.If 9 notebooks cost ₹63, how much do 10 notebooks cost? (a) ₹630 (b) ₹77 (c) ₹64 (d) ₹70
35. 35.₹238 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹119 (b) ₹102 (c) ₹136 (d) ₹34
36. 36.9 workers can build a wall in 11 days. How many days will 3 workers take, working at the same speed? (a) 5 days (b) 33 days (c) 17 days (d) 34 days
37. 37.₹78 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹78 (b) ₹65 (c) ₹13 (d) ₹39
38. 38.5 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 12 days (b) 11 days (c) 16 days (d) 10 days
39. 39.3 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 13 days (b) 16 days (c) 9 days (d) 11 days
40. 40.If 8 mangoes cost ₹176, how much do 7 mangoes cost? (a) ₹1232 (b) ₹154 (c) ₹175 (d) ₹176

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