Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 583 · 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. 1.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 4 days (b) 2 days (c) 3 days (d) 7 days
2. 2.8 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 16 days (b) 17 days (c) 13 days (d) 7 days
3. 3.If 4 mangoes cost ₹20, how much do 5 mangoes cost? (a) ₹25 (b) ₹30 (c) ₹21 (d) ₹100
4. 4.If 2 mangoes cost ₹28, how much do 3 mangoes cost? (a) ₹42 (b) ₹84 (c) ₹29 (d) ₹56
5. 5.₹150 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹60 (b) ₹90 (c) ₹75 (d) ₹30
6. 6.If 2 pens cost ₹24, how much do 12 pens cost? (a) ₹144 (b) ₹288 (c) ₹34 (d) ₹156
7. 7.9 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 19 days (b) 14 days (c) 18 days (d) 6 days
8. 8.If 2 notebooks cost ₹18, how much do 11 notebooks cost? (a) ₹27 (b) ₹108 (c) ₹99 (d) ₹198
9. 9.₹279 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹124 (b) ₹186 (c) ₹31 (d) ₹155
10. 10.₹171 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹152 (b) ₹19 (c) ₹133 (d) ₹38
11. 11.If 3 notebooks cost ₹15, how much do 9 notebooks cost? (a) ₹50 (b) ₹45 (c) ₹135 (d) ₹21
12. 12.If 6 mangoes cost ₹84, how much do 7 mangoes cost? (a) ₹85 (b) ₹112 (c) ₹588 (d) ₹98
13. 13.₹33 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹22 (b) ₹33 (c) ₹23 (d) ₹11
14. 14.₹600 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹250 (b) ₹300 (c) ₹350 (d) ₹50
15. 15.5 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 36 days (c) 35 days (d) 17 days
16. 16.If 2 kites cost ₹50, how much do 9 kites cost? (a) ₹57 (b) ₹250 (c) ₹450 (d) ₹225
17. 17.₹66 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹33 (b) ₹30 (c) ₹6 (d) ₹36
18. 18.₹364 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹130 (b) ₹26 (c) ₹182 (d) ₹234
19. 19.If 3 mangoes cost ₹69, how much do 4 mangoes cost? (a) ₹70 (b) ₹92 (c) ₹115 (d) ₹276
20. 20.4 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 5 days (b) 25 days (c) 16 days (d) 4 days
21. 21.If 9 notebooks cost ₹117, how much do 2 notebooks cost? (a) ₹234 (b) ₹110 (c) ₹26 (d) ₹39
22. 22.If 8 kites cost ₹200, how much do 2 kites cost? (a) ₹400 (b) ₹50 (c) ₹194 (d) ₹75
23. 23.3 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 5 days (b) 7 days (c) 9 days (d) 4 days
24. 24.9 workers can build a wall in 10 days. How many days will 3 workers take, working at the same speed? (a) 31 days (b) 30 days (c) 4 days (d) 16 days
25. 25.If 4 kites cost ₹80, how much do 3 kites cost? (a) ₹240 (b) ₹79 (c) ₹80 (d) ₹60
26. 26.₹288 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹224 (b) ₹144 (c) ₹32 (d) ₹64
27. 27.₹54 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹42 (b) ₹12 (c) ₹6 (d) ₹27
28. 28.₹378 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹168 (b) ₹189 (c) ₹42 (d) ₹210
29. 29.₹235 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹141 (b) ₹94 (c) ₹47 (d) ₹188
30. 30.3 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 2 days (b) 1 day (c) 16 days (d) 13 days
31. 31.If 9 notebooks cost ₹90, how much do 8 notebooks cost? (a) ₹90 (b) ₹720 (c) ₹80 (d) ₹89
32. 32.If 9 mangoes cost ₹99, how much do 3 mangoes cost? (a) ₹93 (b) ₹297 (c) ₹44 (d) ₹33
33. 33.₹616 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹44 (b) ₹220 (c) ₹308 (d) ₹396
34. 34.9 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 5 days (b) 21 days (c) 45 days (d) 9 days
35. 35.If 2 pens cost ₹30, how much do 12 pens cost? (a) ₹360 (b) ₹180 (c) ₹40 (d) ₹195
36. 36.8 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 3 days (b) 6 days (c) 48 days (d) 18 days
37. 37.₹288 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹32 (b) ₹128 (c) ₹160 (d) ₹144
38. 38.₹286 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹130 (b) ₹26 (c) ₹156 (d) ₹143
39. 39.₹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
40. 40.₹182 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹13 (b) ₹65 (c) ₹117 (d) ₹91

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