Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 293 · 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.₹125 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹25 (b) ₹75 (c) ₹100 (d) ₹50
2. 2.7 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 21 days (b) 22 days (c) 17 days (d) 13 days
3. 3.If 2 pens cost ₹6, how much do 3 pens cost? (a) ₹18 (b) ₹12 (c) ₹7 (d) ₹9
4. 4.₹63 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹54 (b) ₹9 (c) ₹55 (d) ₹63
5. 5.₹672 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹48 (b) ₹336 (c) ₹432 (d) ₹240
6. 6.₹187 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹34 (b) ₹170 (c) ₹153 (d) ₹17
7. 7.If 3 pens cost ₹48, how much do 11 pens cost? (a) ₹192 (b) ₹528 (c) ₹176 (d) ₹56
8. 8.₹234 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹117 (b) ₹26 (c) ₹52 (d) ₹182
9. 9.If 5 pens cost ₹15, how much do 4 pens cost? (a) ₹12 (b) ₹60 (c) ₹14 (d) ₹15
10. 10.If 4 kites cost ₹64, how much do 9 kites cost? (a) ₹69 (b) ₹576 (c) ₹160 (d) ₹144
11. 11.9 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 19 days (b) 14 days (c) 18 days (d) 6 days
12. 12.If 2 kites cost ₹40, how much do 8 kites cost? (a) ₹180 (b) ₹160 (c) ₹320 (d) ₹46
13. 13.3 workers can build a wall in 15 days. How many days will 9 workers take, working at the same speed? (a) 9 days (b) 5 days (c) 21 days (d) 45 days
14. 14.3 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 13 days (b) 25 days (c) 17 days (d) 9 days
15. 15.If 6 mangoes cost ₹48, how much do 5 mangoes cost? (a) ₹47 (b) ₹240 (c) ₹40 (d) ₹48
16. 16.9 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 16 days (b) 15 days (c) 10 days (d) 9 days
17. 17.If 4 mangoes cost ₹60, how much do 2 mangoes cost? (a) ₹58 (b) ₹45 (c) ₹120 (d) ₹30
18. 18.₹324 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹135 (b) ₹189 (c) ₹27 (d) ₹162
19. 19.If 5 mangoes cost ₹115, how much do 3 mangoes cost? (a) ₹69 (b) ₹92 (c) ₹345 (d) ₹113
20. 20.If 8 pens cost ₹40, how much do 4 pens cost? (a) ₹25 (b) ₹36 (c) ₹20 (d) ₹160
21. 21.₹341 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹93 (b) ₹279 (c) ₹31 (d) ₹248
22. 22.8 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 18 days (b) 8 days (c) 16 days (d) 9 days
23. 23.₹473 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹301 (b) ₹258 (c) ₹215 (d) ₹43
24. 24.4 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 18 days (b) 4 days (c) 5 days (d) 3 days
25. 25.9 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 40 days (b) 39 days (c) 7 days (d) 19 days
26. 26.3 workers can build a wall in 6 days. How many days will 9 workers take, working at the same speed? (a) 2 days (b) 12 days (c) 18 days (d) 3 days
27. 27.7 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 8 days (c) 29 days (d) 28 days
28. 28.₹169 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹52 (b) ₹130 (c) ₹13 (d) ₹117
29. 29.3 workers can build a wall in 10 days. How many days will 6 workers take, working at the same speed? (a) 13 days (b) 20 days (c) 5 days (d) 7 days
30. 30.If 7 kites cost ₹154, how much do 12 kites cost? (a) ₹1848 (b) ₹264 (c) ₹286 (d) ₹159
31. 31.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 26 days (b) 11 days (c) 15 days (d) 27 days
32. 32.If 7 mangoes cost ₹154, how much do 8 mangoes cost? (a) ₹155 (b) ₹176 (c) ₹198 (d) ₹1232
33. 33.9 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 18 days (b) 4 days (c) 6 days (d) 36 days
34. 34.₹240 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹144 (b) ₹96 (c) ₹48 (d) ₹120
35. 35.₹72 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹8 (b) ₹36 (c) ₹64 (d) ₹72
36. 36.If 5 pens cost ₹85, how much do 6 pens cost? (a) ₹510 (b) ₹102 (c) ₹119 (d) ₹86
37. 37.9 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 28 days (b) 3 days (c) 27 days (d) 15 days
38. 38.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 8 days (b) 7 days (c) 6 days (d) 3 days
39. 39.If 7 pens cost ₹77, how much do 10 pens cost? (a) ₹121 (b) ₹80 (c) ₹770 (d) ₹110
40. 40.If 4 mangoes cost ₹100, how much do 9 mangoes cost? (a) ₹250 (b) ₹900 (c) ₹105 (d) ₹225

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