Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 838 · 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.₹70 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹35 (b) ₹21 (c) ₹7 (d) ₹49
2. 2.If 8 mangoes cost ₹152, how much do 3 mangoes cost? (a) ₹76 (b) ₹147 (c) ₹456 (d) ₹57
3. 3.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 4 days (b) 15 days (c) 27 days (d) 3 days
4. 4.If 6 kites cost ₹108, how much do 2 kites cost? (a) ₹216 (b) ₹54 (c) ₹104 (d) ₹36
5. 5.₹378 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹210 (b) ₹42 (c) ₹168 (d) ₹189
6. 6.5 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 17 days (b) 36 days (c) 35 days (d) 11 days
7. 7.If 4 notebooks cost ₹20, how much do 10 notebooks cost? (a) ₹200 (b) ₹26 (c) ₹55 (d) ₹50
8. 8.₹432 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹252 (b) ₹216 (c) ₹36 (d) ₹180
9. 9.₹150 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹75 (b) ₹150 (c) ₹120 (d) ₹30
10. 10.9 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 15 days (b) 27 days (c) 28 days (d) 3 days
11. 11.9 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 45 days (b) 5 days (c) 9 days (d) 21 days
12. 12.3 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 13 days (b) 1 day (c) 2 days (d) 16 days
13. 13.4 workers can build a wall in 6 days. How many days will 12 workers take, working at the same speed? (a) 2 days (b) 14 days (c) 18 days (d) 3 days
14. 14.4 workers can build a wall in 9 days. How many days will 12 workers take, working at the same speed? (a) 1 day (b) 27 days (c) 17 days (d) 3 days
15. 15.₹516 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹43 (b) ₹301 (c) ₹215 (d) ₹258
16. 16.If 5 pens cost ₹75, how much do 6 pens cost? (a) ₹90 (b) ₹450 (c) ₹105 (d) ₹76
17. 17.If 2 notebooks cost ₹46, how much do 11 notebooks cost? (a) ₹276 (b) ₹55 (c) ₹253 (d) ₹506
18. 18.₹88 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹88 (b) ₹22 (c) ₹66 (d) ₹44
19. 19.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 4 days (b) 19 days (c) 2 days (d) 3 days
20. 20.4 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 12 days (b) 20 days (c) 5 days (d) 8 days
21. 21.₹270 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹270 (b) ₹243 (c) ₹135 (d) ₹27
22. 22.₹342 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹171 (b) ₹342 (c) ₹38 (d) ₹304
23. 23.If 3 pens cost ₹15, how much do 4 pens cost? (a) ₹20 (b) ₹16 (c) ₹25 (d) ₹60
24. 24.If 6 mangoes cost ₹108, how much do 5 mangoes cost? (a) ₹90 (b) ₹540 (c) ₹107 (d) ₹108
25. 25.If 8 notebooks cost ₹24, how much do 7 notebooks cost? (a) ₹24 (b) ₹168 (c) ₹23 (d) ₹21
26. 26.8 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 4 days (b) 7 days (c) 9 days (d) 8 days
27. 27.If 6 pens cost ₹144, how much do 9 pens cost? (a) ₹240 (b) ₹1296 (c) ₹216 (d) ₹147
28. 28.₹216 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹108 (b) ₹90 (c) ₹18 (d) ₹126
29. 29.₹495 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹45 (b) ₹360 (c) ₹180 (d) ₹315
30. 30.₹378 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹135 (b) ₹189 (c) ₹27 (d) ₹243
31. 31.If 9 notebooks cost ₹54, how much do 10 notebooks cost? (a) ₹55 (b) ₹60 (c) ₹540 (d) ₹66
32. 32.If 7 mangoes cost ₹56, how much do 8 mangoes cost? (a) ₹64 (b) ₹57 (c) ₹448 (d) ₹72
33. 33.7 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 13 days (c) 14 days (d) 15 days
34. 34.₹136 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹102 (b) ₹68 (c) ₹34 (d) ₹136
35. 35.If 6 notebooks cost ₹84, how much do 7 notebooks cost? (a) ₹98 (b) ₹85 (c) ₹588 (d) ₹112
36. 36.₹405 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹405 (b) ₹360 (c) ₹45 (d) ₹361
37. 37.₹198 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹18 (b) ₹99 (c) ₹36 (d) ₹162
38. 38.6 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 16 days (b) 5 days (c) 7 days (d) 6 days
39. 39.5 workers can build a wall in 12 days. How many days will 10 workers take, working at the same speed? (a) 6 days (b) 24 days (c) 7 days (d) 17 days
40. 40.If 5 pens cost ₹105, how much do 9 pens cost? (a) ₹109 (b) ₹210 (c) ₹945 (d) ₹189

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