Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 272 · 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.₹63 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹9 (b) ₹36 (c) ₹45 (d) ₹27
2. 2.If 8 kites cost ₹184, how much do 10 kites cost? (a) ₹1840 (b) ₹186 (c) ₹253 (d) ₹230
3. 3.If 6 kites cost ₹114, how much do 5 kites cost? (a) ₹113 (b) ₹114 (c) ₹95 (d) ₹570
4. 4.9 workers can build a wall in 4 days. How many days will 3 workers take, working at the same speed? (a) 10 days (b) 11 days (c) 13 days (d) 12 days
5. 5.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 27 days (c) 15 days (d) 26 days
6. 6.If 6 notebooks cost ₹96, how much do 7 notebooks cost? (a) ₹97 (b) ₹128 (c) ₹112 (d) ₹672
7. 7.If 5 notebooks cost ₹95, how much do 7 notebooks cost? (a) ₹665 (b) ₹152 (c) ₹133 (d) ₹97
8. 8.If 4 notebooks cost ₹64, how much do 11 notebooks cost? (a) ₹71 (b) ₹704 (c) ₹176 (d) ₹192
9. 9.₹140 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹10 (b) ₹70 (c) ₹50 (d) ₹90
10. 10.₹96 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹80 (b) ₹16 (c) ₹96 (d) ₹48
11. 11.₹369 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹246 (b) ₹164 (c) ₹41 (d) ₹205
12. 12.₹147 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹21 (b) ₹126 (c) ₹105 (d) ₹42
13. 13.₹637 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹245 (b) ₹392 (c) ₹49 (d) ₹441
14. 14.If 9 kites cost ₹72, how much do 8 kites cost? (a) ₹71 (b) ₹64 (c) ₹576 (d) ₹72
15. 15.₹520 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹40 (b) ₹360 (c) ₹260 (d) ₹160
16. 16.If 4 mangoes cost ₹80, how much do 6 mangoes cost? (a) ₹140 (b) ₹120 (c) ₹82 (d) ₹480
17. 17.₹297 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹264 (b) ₹231 (c) ₹33 (d) ₹66
18. 18.If 8 notebooks cost ₹200, how much do 4 notebooks cost? (a) ₹125 (b) ₹196 (c) ₹100 (d) ₹800
19. 19.3 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 5 days (b) 6 days (c) 7 days (d) 9 days
20. 20.If 2 kites cost ₹16, how much do 3 kites cost? (a) ₹24 (b) ₹48 (c) ₹32 (d) ₹17
21. 21.9 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 18 days (b) 6 days (c) 36 days (d) 4 days
22. 22.If 4 pens cost ₹92, how much do 5 pens cost? (a) ₹115 (b) ₹460 (c) ₹138 (d) ₹93
23. 23.8 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 53 days (c) 19 days (d) 52 days
24. 24.If 9 kites cost ₹36, how much do 5 kites cost? (a) ₹180 (b) ₹32 (c) ₹24 (d) ₹20
25. 25.₹160 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹112 (b) ₹80 (c) ₹48 (d) ₹16
26. 26.₹333 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹259 (b) ₹296 (c) ₹74 (d) ₹37
27. 27.If 5 mangoes cost ₹90, how much do 4 mangoes cost? (a) ₹72 (b) ₹90 (c) ₹360 (d) ₹89
28. 28.3 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 8 days (b) 18 days (c) 11 days (d) 13 days
29. 29.₹350 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹175 (b) ₹35 (c) ₹315 (d) ₹350
30. 30.4 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 3 days (b) 5 days (c) 18 days (d) 4 days
31. 31.7 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 12 days (b) 8 days (c) 14 days (d) 15 days
32. 32.₹336 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹42 (b) ₹168 (c) ₹294 (d) ₹336
33. 33.If 8 pens cost ₹104, how much do 2 pens cost? (a) ₹26 (b) ₹98 (c) ₹39 (d) ₹208
34. 34.If 3 kites cost ₹33, how much do 11 kites cost? (a) ₹363 (b) ₹121 (c) ₹132 (d) ₹41
35. 35.If 3 kites cost ₹54, how much do 10 kites cost? (a) ₹61 (b) ₹198 (c) ₹540 (d) ₹180
36. 36.If 3 kites cost ₹30, how much do 11 kites cost? (a) ₹120 (b) ₹330 (c) ₹38 (d) ₹110
37. 37.If 6 notebooks cost ₹138, how much do 3 notebooks cost? (a) ₹92 (b) ₹135 (c) ₹414 (d) ₹69
38. 38.If 7 mangoes cost ₹112, how much do 11 mangoes cost? (a) ₹116 (b) ₹192 (c) ₹1232 (d) ₹176
39. 39.If 9 notebooks cost ₹117, how much do 2 notebooks cost? (a) ₹39 (b) ₹234 (c) ₹110 (d) ₹26
40. 40.If 5 notebooks cost ₹50, how much do 6 notebooks cost? (a) ₹60 (b) ₹300 (c) ₹51 (d) ₹70

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