Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 545 · 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 3 kites cost ₹39, how much do 4 kites cost? (a) ₹40 (b) ₹65 (c) ₹156 (d) ₹52
2. 2.₹270 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹240 (b) ₹270 (c) ₹135 (d) ₹30
3. 3.9 workers can build a wall in 11 days. How many days will 3 workers take, working at the same speed? (a) 5 days (b) 34 days (c) 33 days (d) 17 days
4. 4.If 8 pens cost ₹72, how much do 5 pens cost? (a) ₹360 (b) ₹54 (c) ₹45 (d) ₹69
5. 5.₹364 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹28 (b) ₹224 (c) ₹140 (d) ₹182
6. 6.If 6 kites cost ₹18, how much do 4 kites cost? (a) ₹16 (b) ₹12 (c) ₹72 (d) ₹15
7. 7.₹169 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹52 (b) ₹13 (c) ₹130 (d) ₹117
8. 8.₹105 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹75 (b) ₹30 (c) ₹90 (d) ₹15
9. 9.7 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 35 days (b) 19 days (c) 36 days (d) 11 days
10. 10.If 4 notebooks cost ₹52, how much do 2 notebooks cost? (a) ₹26 (b) ₹50 (c) ₹104 (d) ₹39
11. 11.₹80 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹8 (b) ₹40 (c) ₹24 (d) ₹56
12. 12.If 7 notebooks cost ₹49, how much do 5 notebooks cost? (a) ₹42 (b) ₹35 (c) ₹47 (d) ₹245
13. 13.If 4 notebooks cost ₹12, how much do 12 notebooks cost? (a) ₹39 (b) ₹144 (c) ₹20 (d) ₹36
14. 14.5 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 5 days (b) 3 days (c) 4 days (d) 6 days
15. 15.8 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 21 days (b) 19 days (c) 11 days (d) 20 days
16. 16.If 6 kites cost ₹120, how much do 12 kites cost? (a) ₹1440 (b) ₹240 (c) ₹260 (d) ₹126
17. 17.9 workers can build a wall in 10 days. How many days will 6 workers take, working at the same speed? (a) 16 days (b) 15 days (c) 7 days (d) 13 days
18. 18.₹288 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹108 (b) ₹144 (c) ₹36 (d) ₹180
19. 19.If 7 pens cost ₹91, how much do 6 pens cost? (a) ₹78 (b) ₹91 (c) ₹546 (d) ₹90
20. 20.₹418 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹342 (b) ₹38 (c) ₹209 (d) ₹76
21. 21.If 6 notebooks cost ₹60, how much do 7 notebooks cost? (a) ₹70 (b) ₹61 (c) ₹420 (d) ₹80
22. 22.₹387 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹43 (b) ₹258 (c) ₹172 (d) ₹215
23. 23.6 workers can build a wall in 10 days. How many days will 3 workers take, working at the same speed? (a) 5 days (b) 13 days (c) 20 days (d) 7 days
24. 24.If 6 mangoes cost ₹126, how much do 9 mangoes cost? (a) ₹189 (b) ₹1134 (c) ₹210 (d) ₹129
25. 25.₹220 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹176 (b) ₹110 (c) ₹44 (d) ₹220
26. 26.₹301 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹259 (b) ₹43 (c) ₹301 (d) ₹258
27. 27.₹250 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹250 (b) ₹50 (c) ₹125 (d) ₹200
28. 28.₹297 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹162 (b) ₹189 (c) ₹27 (d) ₹135
29. 29.8 workers can build a wall in 6 days. How many days will 4 workers take, working at the same speed? (a) 10 days (b) 3 days (c) 2 days (d) 12 days
30. 30.If 6 notebooks cost ₹24, how much do 9 notebooks cost? (a) ₹40 (b) ₹27 (c) ₹36 (d) ₹216
31. 31.₹132 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹60 (b) ₹66 (c) ₹12 (d) ₹72
32. 32.₹112 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹72 (b) ₹56 (c) ₹8 (d) ₹40
33. 33.₹242 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹121 (b) ₹44 (c) ₹22 (d) ₹198
34. 34.9 workers can build a wall in 8 days. How many days will 6 workers take, working at the same speed? (a) 12 days (b) 13 days (c) 5 days (d) 11 days
35. 35.If 4 kites cost ₹56, how much do 12 kites cost? (a) ₹182 (b) ₹672 (c) ₹168 (d) ₹64
36. 36.If 6 notebooks cost ₹144, how much do 11 notebooks cost? (a) ₹264 (b) ₹1584 (c) ₹149 (d) ₹288
37. 37.7 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 8 days (b) 29 days (c) 28 days (d) 16 days
38. 38.6 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 6 days (b) 14 days (c) 31 days (d) 30 days
39. 39.3 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 3 days (c) 6 days (d) 5 days
40. 40.₹72 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹6 (b) ₹30 (c) ₹42 (d) ₹36

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