Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 160 · 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 9 pens cost ₹153, how much do 4 pens cost? (a) ₹68 (b) ₹85 (c) ₹148 (d) ₹612
2. 2.9 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 5 days (b) 45 days (c) 9 days (d) 21 days
3. 3.If 3 kites cost ₹72, how much do 2 kites cost? (a) ₹144 (b) ₹72 (c) ₹48 (d) ₹71
4. 4.6 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 17 days (c) 39 days (d) 40 days
5. 5.5 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 21 days (b) 5 days (c) 11 days (d) 20 days
6. 6.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 7 days (b) 8 days (c) 3 days (d) 6 days
7. 7.₹136 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹119 (b) ₹136 (c) ₹17 (d) ₹68
8. 8.If 2 notebooks cost ₹30, how much do 12 notebooks cost? (a) ₹360 (b) ₹195 (c) ₹40 (d) ₹180
9. 9.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 9 days (b) 5 days (c) 6 days (d) 4 days
10. 10.If 5 notebooks cost ₹95, how much do 10 notebooks cost? (a) ₹950 (b) ₹190 (c) ₹209 (d) ₹100
11. 11.If 3 mangoes cost ₹36, how much do 4 mangoes cost? (a) ₹37 (b) ₹60 (c) ₹48 (d) ₹144
12. 12.₹35 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹7 (b) ₹14 (c) ₹28 (d) ₹21
13. 13.8 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 25 days (b) 24 days (c) 12 days (d) 23 days
14. 14.₹252 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹126 (b) ₹108 (c) ₹36 (d) ₹144
15. 15.If 4 mangoes cost ₹40, how much do 11 mangoes cost? (a) ₹110 (b) ₹440 (c) ₹47 (d) ₹120
16. 16.6 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 25 days (c) 12 days (d) 24 days
17. 17.4 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 9 days (b) 8 days (c) 7 days (d) 11 days
18. 18.₹200 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹100 (b) ₹200 (c) ₹150 (d) ₹50
19. 19.If 7 mangoes cost ₹84, how much do 2 mangoes cost? (a) ₹36 (b) ₹24 (c) ₹79 (d) ₹168
20. 20.6 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 9 days (b) 3 days (c) 4 days (d) 1 day
21. 21.₹143 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹78 (b) ₹13 (c) ₹91 (d) ₹65
22. 22.₹273 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹39 (b) ₹156 (c) ₹117 (d) ₹195
23. 23.4 workers can build a wall in 4 days. How many days will 8 workers take, working at the same speed? (a) 8 days (b) 3 days (c) 1 day (d) 2 days
24. 24.₹99 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹67 (b) ₹33 (c) ₹66 (d) ₹99
25. 25.If 9 kites cost ₹225, how much do 4 kites cost? (a) ₹900 (b) ₹220 (c) ₹125 (d) ₹100
26. 26.7 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 17 days (b) 7 days (c) 42 days (d) 43 days
27. 27.9 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
28. 28.₹60 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹60 (b) ₹54 (c) ₹30 (d) ₹6
29. 29.If 4 notebooks cost ₹44, how much do 2 notebooks cost? (a) ₹42 (b) ₹33 (c) ₹22 (d) ₹88
30. 30.If 8 kites cost ₹56, how much do 12 kites cost? (a) ₹91 (b) ₹84 (c) ₹672 (d) ₹60
31. 31.If 3 kites cost ₹18, how much do 2 kites cost? (a) ₹17 (b) ₹12 (c) ₹36 (d) ₹18
32. 32.9 workers can build a wall in 8 days. How many days will 12 workers take, working at the same speed? (a) 6 days (b) 11 days (c) 5 days (d) 7 days
33. 33.₹630 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹45 (b) ₹405 (c) ₹225 (d) ₹315
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.₹559 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹430 (b) ₹43 (c) ₹172 (d) ₹387
36. 36.If 7 mangoes cost ₹126, how much do 11 mangoes cost? (a) ₹216 (b) ₹130 (c) ₹198 (d) ₹1386
37. 37.₹429 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹195 (b) ₹234 (c) ₹273 (d) ₹39
38. 38.If 6 notebooks cost ₹72, how much do 8 notebooks cost? (a) ₹74 (b) ₹96 (c) ₹576 (d) ₹108
39. 39.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 4 days (b) 15 days (c) 27 days (d) 3 days
40. 40.6 workers can build a wall in 12 days. How many days will 8 workers take, working at the same speed? (a) 10 days (b) 14 days (c) 9 days (d) 16 days

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