Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 497 · 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 2 notebooks cost ₹10, how much do 8 notebooks cost? (a) ₹45 (b) ₹80 (c) ₹40 (d) ₹16
2. 2.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 2 days (b) 11 days (c) 4 days (d) 3 days
3. 3.4 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 36 days (b) 4 days (c) 5 days (d) 20 days
4. 4.If 7 notebooks cost ₹77, how much do 6 notebooks cost? (a) ₹76 (b) ₹77 (c) ₹66 (d) ₹462
5. 5.If 9 notebooks cost ₹216, how much do 6 notebooks cost? (a) ₹213 (b) ₹1296 (c) ₹168 (d) ₹144
6. 6.If 6 mangoes cost ₹150, how much do 7 mangoes cost? (a) ₹175 (b) ₹200 (c) ₹1050 (d) ₹151
7. 7.₹253 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹23 (b) ₹115 (c) ₹138 (d) ₹161
8. 8.9 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 2 days (b) 19 days (c) 18 days (d) 12 days
9. 9.If 6 pens cost ₹150, how much do 4 pens cost? (a) ₹148 (b) ₹100 (c) ₹600 (d) ₹125
10. 10.₹196 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹98 (b) ₹112 (c) ₹84 (d) ₹28
11. 11.If 4 kites cost ₹68, how much do 10 kites cost? (a) ₹680 (b) ₹170 (c) ₹74 (d) ₹187
12. 12.4 workers can build a wall in 6 days. How many days will 8 workers take, working at the same speed? (a) 12 days (b) 10 days (c) 2 days (d) 3 days
13. 13.9 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 21 days (b) 13 days (c) 22 days (d) 1 day
14. 14.4 workers can build a wall in 6 days. How many days will 12 workers take, working at the same speed? (a) 18 days (b) 14 days (c) 3 days (d) 2 days
15. 15.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 6 days (b) 9 days (c) 5 days (d) 4 days
16. 16.5 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 7 days (b) 6 days (c) 5 days (d) 4 days
17. 17.4 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 12 days (b) 20 days (c) 8 days (d) 5 days
18. 18.₹270 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹45 (b) ₹135 (c) ₹225 (d) ₹270
19. 19.If 2 pens cost ₹38, how much do 10 pens cost? (a) ₹46 (b) ₹190 (c) ₹380 (d) ₹209
20. 20.7 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 29 days (b) 16 days (c) 28 days (d) 8 days
21. 21.If 4 kites cost ₹52, how much do 6 kites cost? (a) ₹91 (b) ₹312 (c) ₹54 (d) ₹78
22. 22.₹40 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹30 (b) ₹40 (c) ₹20 (d) ₹10
23. 23.₹432 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹36 (b) ₹180 (c) ₹216 (d) ₹252
24. 24.₹108 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹108 (b) ₹96 (c) ₹12 (d) ₹54
25. 25.₹342 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹342 (b) ₹304 (c) ₹171 (d) ₹38
26. 26.₹700 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹50 (b) ₹350 (c) ₹250 (d) ₹450
27. 27.If 9 kites cost ₹81, how much do 11 kites cost? (a) ₹108 (b) ₹891 (c) ₹83 (d) ₹99
28. 28.If 6 pens cost ₹90, how much do 3 pens cost? (a) ₹270 (b) ₹60 (c) ₹45 (d) ₹87
29. 29.3 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 5 days (b) 4 days (c) 7 days (d) 9 days
30. 30.₹451 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹41 (b) ₹123 (c) ₹328 (d) ₹369
31. 31.₹126 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹28 (b) ₹98 (c) ₹14 (d) ₹63
32. 32.8 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 5 days (b) 7 days (c) 3 days (d) 4 days
33. 33.6 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 6 days (b) 12 days (c) 13 days (d) 10 days
34. 34.9 workers can build a wall in 5 days. How many days will 3 workers take, working at the same speed? (a) 14 days (b) 11 days (c) 15 days (d) 16 days
35. 35.If 5 pens cost ₹125, how much do 7 pens cost? (a) ₹200 (b) ₹875 (c) ₹175 (d) ₹127
36. 36.If 4 notebooks cost ₹76, how much do 5 notebooks cost? (a) ₹95 (b) ₹77 (c) ₹380 (d) ₹114
37. 37.If 9 kites cost ₹90, how much do 2 kites cost? (a) ₹30 (b) ₹83 (c) ₹180 (d) ₹20
38. 38.8 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 10 days (b) 9 days (c) 14 days (d) 16 days
39. 39.₹36 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹27 (b) ₹18 (c) ₹36 (d) ₹9
40. 40.If 9 kites cost ₹171, how much do 4 kites cost? (a) ₹684 (b) ₹166 (c) ₹95 (d) ₹76

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