Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 95 · 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. 1.7 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 29 days (c) 28 days (d) 3 days
2. 2.₹297 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹165 (b) ₹198 (c) ₹132 (d) ₹33
3. 3.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 49 days (b) 19 days (c) 9 days (d) 4 days
4. 4.If 3 notebooks cost ₹30, how much do 2 notebooks cost? (a) ₹20 (b) ₹30 (c) ₹29 (d) ₹60
5. 5.If 7 kites cost ₹56, how much do 12 kites cost? (a) ₹96 (b) ₹104 (c) ₹61 (d) ₹672
6. 6.₹363 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹33 (b) ₹297 (c) ₹264 (d) ₹99
7. 7.₹72 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹27 (b) ₹36 (c) ₹9 (d) ₹45
8. 8.If 3 kites cost ₹15, how much do 4 kites cost? (a) ₹16 (b) ₹25 (c) ₹20 (d) ₹60
9. 9.3 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 13 days (c) 21 days (d) 22 days
10. 10.₹85 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹17 (b) ₹69 (c) ₹68 (d) ₹85
11. 11.7 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 19 days (b) 35 days (c) 36 days (d) 11 days
12. 12.If 4 pens cost ₹20, how much do 8 pens cost? (a) ₹24 (b) ₹45 (c) ₹160 (d) ₹40
13. 13.If 5 kites cost ₹120, how much do 11 kites cost? (a) ₹1320 (b) ₹288 (c) ₹264 (d) ₹126
14. 14.8 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 2 days (b) 7 days (c) 9 days (d) 8 days
15. 15.6 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 8 days (b) 5 days (c) 7 days (d) 6 days
16. 16.₹154 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹77 (b) ₹154 (c) ₹22 (d) ₹132
17. 17.If 3 kites cost ₹18, how much do 2 kites cost? (a) ₹18 (b) ₹12 (c) ₹36 (d) ₹17
18. 18.₹294 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹147 (b) ₹105 (c) ₹21 (d) ₹189
19. 19.If 3 mangoes cost ₹21, how much do 4 mangoes cost? (a) ₹28 (b) ₹35 (c) ₹22 (d) ₹84
20. 20.₹42 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹6 (b) ₹24 (c) ₹21 (d) ₹18
21. 21.If 2 notebooks cost ₹28, how much do 3 notebooks cost? (a) ₹56 (b) ₹84 (c) ₹42 (d) ₹29
22. 22.8 workers can build a wall in 6 days. How many days will 12 workers take, working at the same speed? (a) 4 days (b) 9 days (c) 10 days (d) 2 days
23. 23.If 6 mangoes cost ₹144, how much do 11 mangoes cost? (a) ₹264 (b) ₹1584 (c) ₹288 (d) ₹149
24. 24.If 5 kites cost ₹70, how much do 2 kites cost? (a) ₹42 (b) ₹28 (c) ₹140 (d) ₹67
25. 25.4 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 5 days (b) 14 days (c) 9 days (d) 15 days
26. 26.7 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 13 days (c) 14 days (d) 9 days
27. 27.If 2 mangoes cost ₹44, how much do 3 mangoes cost? (a) ₹66 (b) ₹88 (c) ₹132 (d) ₹45
28. 28.If 7 mangoes cost ₹84, how much do 10 mangoes cost? (a) ₹132 (b) ₹120 (c) ₹840 (d) ₹87
29. 29.If 8 kites cost ₹144, how much do 3 kites cost? (a) ₹72 (b) ₹139 (c) ₹54 (d) ₹432
30. 30.₹25 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹5 (b) ₹20 (c) ₹10 (d) ₹15
31. 31.9 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 28 days (b) 27 days (c) 15 days (d) 3 days
32. 32.9 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 11 days (b) 19 days (c) 28 days (d) 27 days
33. 33.If 5 notebooks cost ₹65, how much do 4 notebooks cost? (a) ₹64 (b) ₹65 (c) ₹260 (d) ₹52
34. 34.8 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 44 days (b) 45 days (c) 5 days (d) 17 days
35. 35.8 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 53 days (c) 7 days (d) 52 days
36. 36.₹234 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹117 (b) ₹18 (c) ₹162 (d) ₹72
37. 37.If 4 kites cost ₹48, how much do 10 kites cost? (a) ₹54 (b) ₹132 (c) ₹120 (d) ₹480
38. 38.If 8 pens cost ₹144, how much do 10 pens cost? (a) ₹146 (b) ₹198 (c) ₹1440 (d) ₹180
39. 39.4 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 10 days (c) 16 days (d) 6 days
40. 40.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 2 days (d) 7 days

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