Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 411 · 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.₹176 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹16 (b) ₹88 (c) ₹80 (d) ₹96
2. 2.4 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 9 days (b) 11 days (c) 8 days (d) 17 days
3. 3.6 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 16 days (b) 19 days (c) 18 days (d) 14 days
4. 4.4 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 5 days (b) 3 days (c) 4 days (d) 18 days
5. 5.If 6 kites cost ₹138, how much do 4 kites cost? (a) ₹115 (b) ₹92 (c) ₹552 (d) ₹136
6. 6.3 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 22 days (b) 13 days (c) 15 days (d) 21 days
7. 7.₹650 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹250 (b) ₹50 (c) ₹400 (d) ₹325
8. 8.₹390 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹240 (b) ₹30 (c) ₹195 (d) ₹150
9. 9.9 workers can build a wall in 14 days. How many days will 6 workers take, working at the same speed? (a) 21 days (b) 22 days (c) 17 days (d) 11 days
10. 10.If 7 mangoes cost ₹49, how much do 12 mangoes cost? (a) ₹54 (b) ₹91 (c) ₹588 (d) ₹84
11. 11.₹360 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹180 (b) ₹30 (c) ₹210 (d) ₹150
12. 12.₹88 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹32 (b) ₹44 (c) ₹56 (d) ₹8
13. 13.8 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 14 days (b) 10 days (c) 16 days (d) 9 days
14. 14.If 6 kites cost ₹72, how much do 10 kites cost? (a) ₹132 (b) ₹720 (c) ₹120 (d) ₹76
15. 15.If 9 pens cost ₹135, how much do 7 pens cost? (a) ₹945 (b) ₹105 (c) ₹120 (d) ₹133
16. 16.₹90 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹27 (b) ₹9 (c) ₹63 (d) ₹45
17. 17.7 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 9 days (b) 8 days (c) 7 days (d) 6 days
18. 18.8 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 40 days (b) 41 days (c) 16 days (d) 4 days
19. 19.₹387 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹43 (b) ₹215 (c) ₹258 (d) ₹172
20. 20.6 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 13 days (b) 12 days (c) 11 days (d) 9 days
21. 21.If 2 mangoes cost ₹14, how much do 8 mangoes cost? (a) ₹63 (b) ₹56 (c) ₹20 (d) ₹112
22. 22.₹700 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹450 (b) ₹50 (c) ₹250 (d) ₹350
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) 1 day (c) 3 days (d) 2 days
24. 24.If 5 pens cost ₹15, how much do 3 pens cost? (a) ₹12 (b) ₹45 (c) ₹9 (d) ₹13
25. 25.If 7 kites cost ₹91, how much do 3 kites cost? (a) ₹52 (b) ₹273 (c) ₹87 (d) ₹39
26. 26.8 workers can build a wall in 11 days. How many days will 4 workers take, working at the same speed? (a) 15 days (b) 7 days (c) 23 days (d) 22 days
27. 27.If 6 kites cost ₹24, how much do 5 kites cost? (a) ₹24 (b) ₹120 (c) ₹20 (d) ₹23
28. 28.₹138 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹115 (b) ₹138 (c) ₹69 (d) ₹23
29. 29.If 2 mangoes cost ₹32, how much do 3 mangoes cost? (a) ₹64 (b) ₹96 (c) ₹33 (d) ₹48
30. 30.If 6 mangoes cost ₹24, how much do 4 mangoes cost? (a) ₹96 (b) ₹16 (c) ₹20 (d) ₹22
31. 31.If 9 pens cost ₹27, how much do 10 pens cost? (a) ₹30 (b) ₹270 (c) ₹28 (d) ₹33
32. 32.5 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 6 days (b) 5 days (c) 13 days (d) 4 days
33. 33.₹130 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹50 (b) ₹80 (c) ₹65 (d) ₹10
34. 34.If 5 notebooks cost ₹55, how much do 6 notebooks cost? (a) ₹56 (b) ₹66 (c) ₹77 (d) ₹330
35. 35.₹221 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹170 (b) ₹17 (c) ₹68 (d) ₹153
36. 36.If 8 notebooks cost ₹48, how much do 6 notebooks cost? (a) ₹46 (b) ₹36 (c) ₹288 (d) ₹42
37. 37.If 4 kites cost ₹12, how much do 12 kites cost? (a) ₹39 (b) ₹20 (c) ₹36 (d) ₹144
38. 38.₹195 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹15 (b) ₹60 (c) ₹135 (d) ₹150
39. 39.6 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 34 days (c) 33 days (d) 7 days
40. 40.If 5 notebooks cost ₹15, how much do 7 notebooks cost? (a) ₹24 (b) ₹17 (c) ₹21 (d) ₹105

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