Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 186 · 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 8 kites cost ₹136, how much do 9 kites cost? (a) ₹153 (b) ₹170 (c) ₹137 (d) ₹1224
2. 2.If 9 kites cost ₹45, how much do 3 kites cost? (a) ₹15 (b) ₹135 (c) ₹39 (d) ₹20
3. 3.If 3 kites cost ₹42, how much do 5 kites cost? (a) ₹210 (b) ₹84 (c) ₹70 (d) ₹44
4. 4.₹572 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹44 (b) ₹286 (c) ₹176 (d) ₹396
5. 5.If 2 notebooks cost ₹44, how much do 10 notebooks cost? (a) ₹440 (b) ₹220 (c) ₹52 (d) ₹242
6. 6.6 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 4 days (c) 9 days (d) 1 day
7. 7.₹72 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹60 (b) ₹72 (c) ₹12 (d) ₹36
8. 8.If 9 mangoes cost ₹153, how much do 3 mangoes cost? (a) ₹51 (b) ₹459 (c) ₹68 (d) ₹147
9. 9.₹451 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹41 (b) ₹369 (c) ₹82 (d) ₹410
10. 10.If 7 notebooks cost ₹133, how much do 11 notebooks cost? (a) ₹228 (b) ₹209 (c) ₹1463 (d) ₹137
11. 11.4 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 3 days (b) 10 days (c) 5 days (d) 4 days
12. 12.If 3 mangoes cost ₹42, how much do 8 mangoes cost? (a) ₹112 (b) ₹47 (c) ₹336 (d) ₹126
13. 13.₹546 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹210 (b) ₹273 (c) ₹42 (d) ₹336
14. 14.If 2 notebooks cost ₹16, how much do 3 notebooks cost? (a) ₹48 (b) ₹24 (c) ₹32 (d) ₹17
15. 15.₹468 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹324 (b) ₹36 (c) ₹234 (d) ₹144
16. 16.9 workers can build a wall in 4 days. How many days will 6 workers take, working at the same speed? (a) 6 days (b) 7 days (c) 1 day (d) 5 days
17. 17.₹45 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹45 (b) ₹37 (c) ₹9 (d) ₹36
18. 18.If 4 pens cost ₹16, how much do 3 pens cost? (a) ₹15 (b) ₹48 (c) ₹16 (d) ₹12
19. 19.If 5 notebooks cost ₹75, how much do 4 notebooks cost? (a) ₹300 (b) ₹75 (c) ₹60 (d) ₹74
20. 20.If 2 mangoes cost ₹42, how much do 3 mangoes cost? (a) ₹84 (b) ₹63 (c) ₹43 (d) ₹126
21. 21.₹132 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹55 (b) ₹66 (c) ₹11 (d) ₹77
22. 22.₹369 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹164 (b) ₹246 (c) ₹205 (d) ₹41
23. 23.8 workers can build a wall in 9 days. How many days will 4 workers take, working at the same speed? (a) 5 days (b) 13 days (c) 18 days (d) 19 days
24. 24.3 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 18 days (b) 7 days (c) 6 days (d) 10 days
25. 25.If 5 pens cost ₹30, how much do 4 pens cost? (a) ₹29 (b) ₹120 (c) ₹24 (d) ₹30
26. 26.If 7 pens cost ₹42, how much do 8 pens cost? (a) ₹48 (b) ₹54 (c) ₹336 (d) ₹43
27. 27.₹240 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹30 (b) ₹210 (c) ₹240 (d) ₹120
28. 28.₹279 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹155 (b) ₹186 (c) ₹124 (d) ₹31
29. 29.₹216 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹108 (b) ₹27 (c) ₹135 (d) ₹81
30. 30.₹385 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹35 (b) ₹140 (c) ₹280 (d) ₹245
31. 31.4 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 16 days (c) 10 days (d) 6 days
32. 32.6 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 2 days (c) 19 days (d) 18 days
33. 33.If 6 mangoes cost ₹24, how much do 7 mangoes cost? (a) ₹32 (b) ₹28 (c) ₹25 (d) ₹168
34. 34.₹252 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹18 (b) ₹90 (c) ₹126 (d) ₹162
35. 35.₹165 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹99 (b) ₹66 (c) ₹132 (d) ₹33
36. 36.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 9 days (b) 4 days (c) 6 days (d) 5 days
37. 37.3 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 5 days (c) 6 days (d) 3 days
38. 38.₹308 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹252 (b) ₹154 (c) ₹56 (d) ₹28
39. 39.₹441 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹393 (b) ₹392 (c) ₹49 (d) ₹441
40. 40.₹112 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹16 (b) ₹112 (c) ₹96 (d) ₹56

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