Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 339 · 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. 1.4 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 16 days (c) 6 days (d) 4 days
2. 2.8 workers can build a wall in 5 days. How many days will 4 workers take, working at the same speed? (a) 1 day (b) 10 days (c) 11 days (d) 9 days
3. 3.If 3 pens cost ₹60, how much do 2 pens cost? (a) ₹60 (b) ₹40 (c) ₹120 (d) ₹59
4. 4.₹120 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹72 (b) ₹48 (c) ₹24 (d) ₹60
5. 5.₹378 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹189 (b) ₹336 (c) ₹378 (d) ₹42
6. 6.₹264 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹24 (b) ₹132 (c) ₹120 (d) ₹144
7. 7.8 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 2 days (b) 14 days (c) 33 days (d) 32 days
8. 8.4 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 12 days (b) 5 days (c) 16 days (d) 4 days
9. 9.If 6 kites cost ₹96, how much do 11 kites cost? (a) ₹101 (b) ₹1056 (c) ₹176 (d) ₹192
10. 10.₹275 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹200 (b) ₹175 (c) ₹100 (d) ₹25
11. 11.4 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 12 days (b) 28 days (c) 7 days (d) 16 days
12. 12.₹117 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹13 (b) ₹65 (c) ₹52 (d) ₹78
13. 13.9 workers can build a wall in 8 days. How many days will 3 workers take, working at the same speed? (a) 25 days (b) 14 days (c) 24 days (d) 2 days
14. 14.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 2 days (b) 3 days (c) 7 days (d) 4 days
15. 15.4 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 8 days (b) 2 days (c) 6 days (d) 9 days
16. 16.If 4 kites cost ₹68, how much do 3 kites cost? (a) ₹68 (b) ₹204 (c) ₹67 (d) ₹51
17. 17.If 9 kites cost ₹126, how much do 11 kites cost? (a) ₹168 (b) ₹154 (c) ₹1386 (d) ₹128
18. 18.₹341 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹279 (b) ₹62 (c) ₹31 (d) ₹310
19. 19.If 5 pens cost ₹30, how much do 10 pens cost? (a) ₹60 (b) ₹300 (c) ₹66 (d) ₹35
20. 20.₹220 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹110 (b) ₹20 (c) ₹80 (d) ₹140
21. 21.If 7 notebooks cost ₹98, how much do 8 notebooks cost? (a) ₹126 (b) ₹112 (c) ₹784 (d) ₹99
22. 22.₹77 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹55 (b) ₹11 (c) ₹66 (d) ₹22
23. 23.₹360 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹80 (b) ₹280 (c) ₹180 (d) ₹40
24. 24.₹252 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹90 (b) ₹18 (c) ₹126 (d) ₹162
25. 25.₹416 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹32 (b) ₹288 (c) ₹128 (d) ₹208
26. 26.9 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 4 days (b) 6 days (c) 36 days (d) 18 days
27. 27.If 5 mangoes cost ₹25, how much do 2 mangoes cost? (a) ₹10 (b) ₹22 (c) ₹50 (d) ₹15
28. 28.If 8 kites cost ₹176, how much do 11 kites cost? (a) ₹1936 (b) ₹264 (c) ₹179 (d) ₹242
29. 29.6 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 21 days (c) 22 days (d) 3 days
30. 30.If 8 kites cost ₹80, how much do 9 kites cost? (a) ₹81 (b) ₹100 (c) ₹720 (d) ₹90
31. 31.₹45 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹45 (b) ₹30 (c) ₹15 (d) ₹31
32. 32.7 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 22 days (b) 13 days (c) 21 days (d) 5 days
33. 33.9 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 19 days (b) 28 days (c) 27 days (d) 11 days
34. 34.If 8 pens cost ₹184, how much do 2 pens cost? (a) ₹69 (b) ₹178 (c) ₹368 (d) ₹46
35. 35.If 8 pens cost ₹32, how much do 2 pens cost? (a) ₹12 (b) ₹8 (c) ₹26 (d) ₹64
36. 36.If 8 kites cost ₹112, how much do 7 kites cost? (a) ₹98 (b) ₹112 (c) ₹784 (d) ₹111
37. 37.If 5 mangoes cost ₹125, how much do 3 mangoes cost? (a) ₹100 (b) ₹375 (c) ₹75 (d) ₹123
38. 38.If 9 kites cost ₹72, how much do 3 kites cost? (a) ₹32 (b) ₹66 (c) ₹216 (d) ₹24
39. 39.If 3 kites cost ₹33, how much do 4 kites cost? (a) ₹55 (b) ₹34 (c) ₹132 (d) ₹44
40. 40.If 8 notebooks cost ₹168, how much do 9 notebooks cost? (a) ₹210 (b) ₹169 (c) ₹189 (d) ₹1512

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