Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 649 · 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 5 pens cost ₹60, how much do 9 pens cost? (a) ₹108 (b) ₹120 (c) ₹64 (d) ₹540
2. 2.4 workers can build a wall in 15 days. How many days will 2 workers take, working at the same speed? (a) 30 days (b) 13 days (c) 31 days (d) 17 days
3. 3.₹396 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹108 (b) ₹36 (c) ₹198 (d) ₹288
4. 4.₹78 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹54 (b) ₹6 (c) ₹39 (d) ₹24
5. 5.6 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 1 day (b) 16 days (c) 9 days (d) 15 days
6. 6.If 5 kites cost ₹35, how much do 6 kites cost? (a) ₹36 (b) ₹42 (c) ₹49 (d) ₹210
7. 7.If 7 pens cost ₹56, how much do 12 pens cost? (a) ₹104 (b) ₹61 (c) ₹96 (d) ₹672
8. 8.₹220 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹66 (b) ₹110 (c) ₹22 (d) ₹154
9. 9.₹286 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹110 (b) ₹22 (c) ₹176 (d) ₹143
10. 10.If 4 kites cost ₹52, how much do 10 kites cost? (a) ₹58 (b) ₹130 (c) ₹143 (d) ₹520
11. 11.₹336 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹42 (b) ₹168 (c) ₹210 (d) ₹126
12. 12.₹208 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹26 (b) ₹104 (c) ₹208 (d) ₹182
13. 13.₹340 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹170 (b) ₹34 (c) ₹238 (d) ₹102
14. 14.8 workers can build a wall in 14 days. How many days will 4 workers take, working at the same speed? (a) 7 days (b) 10 days (c) 18 days (d) 28 days
15. 15.If 6 kites cost ₹108, how much do 9 kites cost? (a) ₹180 (b) ₹162 (c) ₹972 (d) ₹111
16. 16.If 7 notebooks cost ₹63, how much do 9 notebooks cost? (a) ₹567 (b) ₹90 (c) ₹81 (d) ₹65
17. 17.₹114 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹95 (b) ₹57 (c) ₹19 (d) ₹114
18. 18.₹130 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹50 (b) ₹10 (c) ₹65 (d) ₹80
19. 19.If 8 kites cost ₹192, how much do 9 kites cost? (a) ₹240 (b) ₹216 (c) ₹193 (d) ₹1728
20. 20.8 workers can build a wall in 15 days. How many days will 2 workers take, working at the same speed? (a) 21 days (b) 9 days (c) 61 days (d) 60 days
21. 21.6 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 12 days (b) 18 days (c) 19 days (d) 6 days
22. 22.4 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 13 days (b) 16 days (c) 14 days (d) 12 days
23. 23.3 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 6 days (b) 18 days (c) 10 days (d) 7 days
24. 24.If 8 pens cost ₹32, how much do 9 pens cost? (a) ₹288 (b) ₹36 (c) ₹33 (d) ₹40
25. 25.₹78 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹13 (b) ₹65 (c) ₹78 (d) ₹39
26. 26.8 workers can build a wall in 10 days. How many days will 4 workers take, working at the same speed? (a) 20 days (b) 6 days (c) 14 days (d) 5 days
27. 27.If 7 notebooks cost ₹154, how much do 12 notebooks cost? (a) ₹264 (b) ₹286 (c) ₹159 (d) ₹1848
28. 28.₹308 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹22 (b) ₹198 (c) ₹110 (d) ₹154
29. 29.If 5 pens cost ₹110, how much do 6 pens cost? (a) ₹111 (b) ₹660 (c) ₹154 (d) ₹132
30. 30.3 workers can build a wall in 4 days. How many days will 6 workers take, working at the same speed? (a) 7 days (b) 1 day (c) 8 days (d) 2 days
31. 31.₹484 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹88 (b) ₹242 (c) ₹396 (d) ₹44
32. 32.If 9 pens cost ₹54, how much do 2 pens cost? (a) ₹18 (b) ₹12 (c) ₹47 (d) ₹108
33. 33.₹319 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹290 (b) ₹58 (c) ₹261 (d) ₹29
34. 34.6 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 4 days (b) 7 days (c) 6 days (d) 5 days
35. 35.₹484 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹242 (b) ₹44 (c) ₹308 (d) ₹176
36. 36.7 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 6 days (b) 7 days (c) 8 days (d) 9 days
37. 37.If 7 notebooks cost ₹91, how much do 8 notebooks cost? (a) ₹92 (b) ₹728 (c) ₹104 (d) ₹117
38. 38.If 7 mangoes cost ₹70, how much do 12 mangoes cost? (a) ₹130 (b) ₹120 (c) ₹75 (d) ₹840
39. 39.If 4 pens cost ₹60, how much do 5 pens cost? (a) ₹61 (b) ₹300 (c) ₹90 (d) ₹75
40. 40.₹441 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹98 (b) ₹49 (c) ₹392 (d) ₹343

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