Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 602 · 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.₹42 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹6 (b) ₹24 (c) ₹18 (d) ₹21
2. 2.₹360 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹150 (b) ₹180 (c) ₹30 (d) ₹210
3. 3.If 2 kites cost ₹26, how much do 9 kites cost? (a) ₹33 (b) ₹130 (c) ₹117 (d) ₹234
4. 4.9 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 3 days (b) 46 days (c) 45 days (d) 17 days
5. 5.6 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 7 days (b) 5 days (c) 6 days (d) 4 days
6. 6.If 4 pens cost ₹56, how much do 11 pens cost? (a) ₹154 (b) ₹63 (c) ₹168 (d) ₹616
7. 7.4 workers can build a wall in 14 days. How many days will 8 workers take, working at the same speed? (a) 18 days (b) 10 days (c) 7 days (d) 28 days
8. 8.₹30 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹10 (b) ₹15 (c) ₹20 (d) ₹30
9. 9.If 8 pens cost ₹200, how much do 4 pens cost? (a) ₹125 (b) ₹800 (c) ₹196 (d) ₹100
10. 10.3 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 5 days (b) 4 days (c) 9 days (d) 7 days
11. 11.If 5 mangoes cost ₹115, how much do 11 mangoes cost? (a) ₹276 (b) ₹253 (c) ₹1265 (d) ₹121
12. 12.If 3 pens cost ₹21, how much do 5 pens cost? (a) ₹105 (b) ₹23 (c) ₹35 (d) ₹42
13. 13.9 workers can build a wall in 5 days. How many days will 3 workers take, working at the same speed? (a) 11 days (b) 16 days (c) 14 days (d) 15 days
14. 14.If 8 mangoes cost ₹168, how much do 10 mangoes cost? (a) ₹170 (b) ₹1680 (c) ₹231 (d) ₹210
15. 15.₹143 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹104 (b) ₹117 (c) ₹39 (d) ₹13
16. 16.If 6 kites cost ₹138, how much do 10 kites cost? (a) ₹1380 (b) ₹230 (c) ₹253 (d) ₹142
17. 17.If 2 pens cost ₹6, how much do 6 pens cost? (a) ₹10 (b) ₹21 (c) ₹18 (d) ₹36
18. 18.If 3 mangoes cost ₹69, how much do 11 mangoes cost? (a) ₹253 (b) ₹759 (c) ₹77 (d) ₹276
19. 19.If 3 mangoes cost ₹39, how much do 7 mangoes cost? (a) ₹43 (b) ₹104 (c) ₹91 (d) ₹273
20. 20.If 5 mangoes cost ₹100, how much do 4 mangoes cost? (a) ₹80 (b) ₹400 (c) ₹100 (d) ₹99
21. 21.₹36 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹12 (b) ₹24 (c) ₹18 (d) ₹36
22. 22.9 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 36 days (b) 37 days (c) 1 day (d) 15 days
23. 23.₹216 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹108 (b) ₹120 (c) ₹24 (d) ₹96
24. 24.9 workers can build a wall in 11 days. How many days will 3 workers take, working at the same speed? (a) 34 days (b) 17 days (c) 33 days (d) 5 days
25. 25.₹286 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹198 (b) ₹88 (c) ₹143 (d) ₹22
26. 26.If 8 notebooks cost ₹120, how much do 9 notebooks cost? (a) ₹1080 (b) ₹150 (c) ₹135 (d) ₹121
27. 27.If 8 mangoes cost ₹96, how much do 3 mangoes cost? (a) ₹48 (b) ₹91 (c) ₹36 (d) ₹288
28. 28.If 5 notebooks cost ₹40, how much do 6 notebooks cost? (a) ₹240 (b) ₹56 (c) ₹48 (d) ₹41
29. 29.4 workers can build a wall in 4 days. How many days will 8 workers take, working at the same speed? (a) 1 day (b) 8 days (c) 2 days (d) 3 days
30. 30.If 6 mangoes cost ₹102, how much do 8 mangoes cost? (a) ₹104 (b) ₹816 (c) ₹136 (d) ₹153
31. 31.₹30 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹25 (b) ₹30 (c) ₹5 (d) ₹15
32. 32.If 2 pens cost ₹46, how much do 12 pens cost? (a) ₹56 (b) ₹276 (c) ₹299 (d) ₹552
33. 33.7 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 15 days (b) 8 days (c) 14 days (d) 12 days
34. 34.8 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 17 days (b) 16 days (c) 1 day (d) 11 days
35. 35.If 6 mangoes cost ₹102, how much do 3 mangoes cost? (a) ₹99 (b) ₹51 (c) ₹306 (d) ₹68
36. 36.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 4 days (b) 7 days (c) 2 days (d) 3 days
37. 37.₹88 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹66 (b) ₹88 (c) ₹44 (d) ₹22
38. 38.6 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 2 days (b) 10 days (c) 3 days (d) 8 days
39. 39.₹385 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹35 (b) ₹175 (c) ₹245 (d) ₹210
40. 40.If 3 notebooks cost ₹75, how much do 2 notebooks cost? (a) ₹75 (b) ₹74 (c) ₹50 (d) ₹150

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