Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 492 · 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.₹410 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹205 (b) ₹410 (c) ₹369 (d) ₹41
2. 2.If 8 mangoes cost ₹144, how much do 11 mangoes cost? (a) ₹147 (b) ₹198 (c) ₹1584 (d) ₹216
3. 3.₹231 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹99 (b) ₹165 (c) ₹33 (d) ₹132
4. 4.4 workers can build a wall in 14 days. How many days will 8 workers take, working at the same speed? (a) 28 days (b) 18 days (c) 7 days (d) 10 days
5. 5.4 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 8 days (b) 5 days (c) 9 days (d) 7 days
6. 6.4 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 13 days (c) 23 days (d) 22 days
7. 7.9 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 19 days (b) 18 days (c) 2 days (d) 12 days
8. 8.If 4 pens cost ₹48, how much do 5 pens cost? (a) ₹240 (b) ₹72 (c) ₹60 (d) ₹49
9. 9.₹450 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹50 (b) ₹250 (c) ₹225 (d) ₹200
10. 10.If 4 kites cost ₹76, how much do 7 kites cost? (a) ₹532 (b) ₹152 (c) ₹133 (d) ₹79
11. 11.If 3 notebooks cost ₹30, how much do 9 notebooks cost? (a) ₹36 (b) ₹270 (c) ₹100 (d) ₹90
12. 12.If 8 notebooks cost ₹24, how much do 9 notebooks cost? (a) ₹25 (b) ₹216 (c) ₹27 (d) ₹30
13. 13.₹35 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹7 (b) ₹35 (c) ₹29 (d) ₹28
14. 14.7 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 5 days (b) 8 days (c) 6 days (d) 7 days
15. 15.₹217 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹31 (b) ₹93 (c) ₹155 (d) ₹124
16. 16.5 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 5 days (b) 20 days (c) 11 days (d) 21 days
17. 17.₹490 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹35 (b) ₹315 (c) ₹175 (d) ₹245
18. 18.₹56 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹42 (b) ₹56 (c) ₹28 (d) ₹14
19. 19.9 workers can build a wall in 10 days. How many days will 3 workers take, working at the same speed? (a) 4 days (b) 31 days (c) 30 days (d) 16 days
20. 20.4 workers can build a wall in 4 days. How many days will 8 workers take, working at the same speed? (a) 3 days (b) 2 days (c) 8 days (d) 1 day
21. 21.₹550 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹100 (b) ₹50 (c) ₹275 (d) ₹450
22. 22.6 workers can build a wall in 10 days. How many days will 12 workers take, working at the same speed? (a) 4 days (b) 20 days (c) 16 days (d) 5 days
23. 23.₹184 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹161 (b) ₹23 (c) ₹184 (d) ₹92
24. 24.If 8 mangoes cost ₹176, how much do 4 mangoes cost? (a) ₹110 (b) ₹704 (c) ₹172 (d) ₹88
25. 25.7 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 10 days (b) 15 days (c) 14 days (d) 2 days
26. 26.₹308 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹28 (b) ₹154 (c) ₹168 (d) ₹140
27. 27.5 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 17 days (b) 35 days (c) 11 days (d) 36 days
28. 28.If 5 mangoes cost ₹125, how much do 6 mangoes cost? (a) ₹175 (b) ₹126 (c) ₹150 (d) ₹750
29. 29.₹66 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹30 (b) ₹6 (c) ₹36 (d) ₹33
30. 30.₹96 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹72 (b) ₹24 (c) ₹96 (d) ₹48
31. 31.8 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 7 days (b) 8 days (c) 9 days (d) 6 days
32. 32.If 2 pens cost ₹28, how much do 10 pens cost? (a) ₹140 (b) ₹36 (c) ₹154 (d) ₹280
33. 33.5 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 7 days (c) 25 days (d) 13 days
34. 34.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 13 days (b) 17 days (c) 25 days (d) 9 days
35. 35.If 6 pens cost ₹72, how much do 7 pens cost? (a) ₹96 (b) ₹73 (c) ₹504 (d) ₹84
36. 36.If 6 kites cost ₹48, how much do 8 kites cost? (a) ₹64 (b) ₹72 (c) ₹50 (d) ₹384
37. 37.If 8 mangoes cost ₹24, how much do 2 mangoes cost? (a) ₹18 (b) ₹6 (c) ₹9 (d) ₹48
38. 38.₹35 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹14 (b) ₹7 (c) ₹28 (d) ₹21
39. 39.If 5 notebooks cost ₹45, how much do 9 notebooks cost? (a) ₹81 (b) ₹90 (c) ₹405 (d) ₹49
40. 40.5 workers can build a wall in 8 days. How many days will 10 workers take, working at the same speed? (a) 13 days (b) 16 days (c) 4 days (d) 3 days

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