Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 998 · 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.If 2 kites cost ₹28, how much do 9 kites cost? (a) ₹252 (b) ₹126 (c) ₹35 (d) ₹140
2. 2.7 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
3. 3.9 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 28 days (b) 13 days (c) 26 days (d) 27 days
4. 4.If 5 kites cost ₹110, how much do 3 kites cost? (a) ₹330 (b) ₹88 (c) ₹66 (d) ₹108
5. 5.If 5 pens cost ₹120, how much do 8 pens cost? (a) ₹960 (b) ₹216 (c) ₹123 (d) ₹192
6. 6.If 6 mangoes cost ₹108, how much do 7 mangoes cost? (a) ₹109 (b) ₹126 (c) ₹144 (d) ₹756
7. 7.If 3 notebooks cost ₹36, how much do 10 notebooks cost? (a) ₹132 (b) ₹360 (c) ₹43 (d) ₹120
8. 8.If 9 mangoes cost ₹207, how much do 2 mangoes cost? (a) ₹46 (b) ₹69 (c) ₹414 (d) ₹200
9. 9.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 19 days (d) 2 days
10. 10.₹75 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹75 (b) ₹60 (c) ₹61 (d) ₹15
11. 11.₹294 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹147 (b) ₹210 (c) ₹84 (d) ₹42
12. 12.If 8 mangoes cost ₹176, how much do 7 mangoes cost? (a) ₹1232 (b) ₹154 (c) ₹175 (d) ₹176
13. 13.8 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 33 days (b) 7 days (c) 17 days (d) 32 days
14. 14.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 25 days (b) 17 days (c) 9 days (d) 13 days
15. 15.₹48 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹32 (b) ₹48 (c) ₹24 (d) ₹16
16. 16.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 11 days (c) 27 days (d) 26 days
17. 17.If 9 notebooks cost ₹162, how much do 6 notebooks cost? (a) ₹126 (b) ₹108 (c) ₹159 (d) ₹972
18. 18.₹140 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹126 (b) ₹14 (c) ₹70 (d) ₹140
19. 19.If 3 mangoes cost ₹21, how much do 9 mangoes cost? (a) ₹70 (b) ₹63 (c) ₹27 (d) ₹189
20. 20.If 8 pens cost ₹32, how much do 2 pens cost? (a) ₹64 (b) ₹26 (c) ₹8 (d) ₹12
21. 21.₹700 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹450 (b) ₹350 (c) ₹50 (d) ₹250
22. 22.4 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 23 days (b) 13 days (c) 22 days (d) 9 days
23. 23.₹192 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹96 (b) ₹80 (c) ₹16 (d) ₹112
24. 24.8 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 7 days (b) 4 days (c) 5 days (d) 3 days
25. 25.9 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 3 days (b) 28 days (c) 27 days (d) 15 days
26. 26.9 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 7 days (b) 3 days (c) 1 day (d) 4 days
27. 27.6 workers can build a wall in 5 days. How many days will 3 workers take, working at the same speed? (a) 10 days (b) 8 days (c) 2 days (d) 11 days
28. 28.If 5 kites cost ₹80, how much do 9 kites cost? (a) ₹144 (b) ₹84 (c) ₹160 (d) ₹720
29. 29.If 2 mangoes cost ₹42, how much do 8 mangoes cost? (a) ₹168 (b) ₹48 (c) ₹189 (d) ₹336
30. 30.If 6 mangoes cost ₹132, how much do 9 mangoes cost? (a) ₹198 (b) ₹135 (c) ₹220 (d) ₹1188
31. 31.₹350 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹35 (b) ₹175 (c) ₹350 (d) ₹315
32. 32.₹98 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹70 (b) ₹49 (c) ₹14 (d) ₹28
33. 33.₹420 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹245 (b) ₹210 (c) ₹175 (d) ₹35
34. 34.₹54 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹54 (b) ₹48 (c) ₹27 (d) ₹6
35. 35.If 8 mangoes cost ₹96, how much do 2 mangoes cost? (a) ₹24 (b) ₹36 (c) ₹90 (d) ₹192
36. 36.₹80 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹40 (b) ₹16 (c) ₹32 (d) ₹48
37. 37.₹176 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹80 (b) ₹96 (c) ₹88 (d) ₹16
38. 38.6 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 24 days (b) 25 days (c) 12 days (d) 4 days
39. 39.If 9 pens cost ₹36, how much do 10 pens cost? (a) ₹40 (b) ₹44 (c) ₹360 (d) ₹37
40. 40.If 2 notebooks cost ₹36, how much do 11 notebooks cost? (a) ₹396 (b) ₹216 (c) ₹45 (d) ₹198

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