Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 155 · 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.₹20 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹20 (b) ₹5 (c) ₹15 (d) ₹10
2. 2.₹215 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹172 (b) ₹173 (c) ₹43 (d) ₹215
3. 3.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 11 days (c) 27 days (d) 26 days
4. 4.If 3 mangoes cost ₹15, how much do 5 mangoes cost? (a) ₹30 (b) ₹17 (c) ₹25 (d) ₹75
5. 5.9 workers can build a wall in 5 days. How many days will 3 workers take, working at the same speed? (a) 11 days (b) 14 days (c) 16 days (d) 15 days
6. 6.4 workers can build a wall in 9 days. How many days will 12 workers take, working at the same speed? (a) 17 days (b) 3 days (c) 27 days (d) 1 day
7. 7.If 6 kites cost ₹54, how much do 10 kites cost? (a) ₹99 (b) ₹540 (c) ₹90 (d) ₹58
8. 8.If 2 notebooks cost ₹30, how much do 8 notebooks cost? (a) ₹135 (b) ₹120 (c) ₹36 (d) ₹240
9. 9.6 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 8 days (c) 13 days (d) 12 days
10. 10.If 9 notebooks cost ₹63, how much do 8 notebooks cost? (a) ₹504 (b) ₹62 (c) ₹63 (d) ₹56
11. 11.4 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 25 days (b) 16 days (c) 4 days (d) 5 days
12. 12.₹104 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹52 (b) ₹13 (c) ₹104 (d) ₹91
13. 13.₹315 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹135 (b) ₹45 (c) ₹180 (d) ₹225
14. 14.If 9 pens cost ₹207, how much do 11 pens cost? (a) ₹276 (b) ₹253 (c) ₹209 (d) ₹2277
15. 15.₹420 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹270 (b) ₹30 (c) ₹150 (d) ₹210
16. 16.If 9 kites cost ₹99, how much do 5 kites cost? (a) ₹55 (b) ₹66 (c) ₹495 (d) ₹95
17. 17.₹170 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹17 (b) ₹170 (c) ₹85 (d) ₹153
18. 18.₹325 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹25 (b) ₹250 (c) ₹100 (d) ₹225
19. 19.₹320 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹32 (b) ₹320 (c) ₹288 (d) ₹160
20. 20.If 2 kites cost ₹38, how much do 3 kites cost? (a) ₹76 (b) ₹57 (c) ₹39 (d) ₹114
21. 21.If 5 mangoes cost ₹15, how much do 3 mangoes cost? (a) ₹45 (b) ₹12 (c) ₹13 (d) ₹9
22. 22.₹203 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹116 (b) ₹87 (c) ₹145 (d) ₹29
23. 23.₹658 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹423 (b) ₹329 (c) ₹47 (d) ₹235
24. 24.₹145 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹145 (b) ₹116 (c) ₹117 (d) ₹29
25. 25.₹165 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹99 (b) ₹66 (c) ₹33 (d) ₹132
26. 26.₹261 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹29 (b) ₹232 (c) ₹261 (d) ₹233
27. 27.₹176 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹88 (b) ₹22 (c) ₹176 (d) ₹154
28. 28.4 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 5 days (c) 14 days (d) 15 days
29. 29.₹198 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹36 (b) ₹99 (c) ₹162 (d) ₹18
30. 30.₹185 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹148 (b) ₹185 (c) ₹37 (d) ₹149
31. 31.₹68 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹51 (b) ₹34 (c) ₹68 (d) ₹17
32. 32.₹448 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹224 (b) ₹160 (c) ₹32 (d) ₹288
33. 33.₹276 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹161 (b) ₹115 (c) ₹23 (d) ₹138
34. 34.7 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 10 days (b) 15 days (c) 14 days (d) 2 days
35. 35.If 7 kites cost ₹168, how much do 10 kites cost? (a) ₹264 (b) ₹1680 (c) ₹171 (d) ₹240
36. 36.If 3 kites cost ₹48, how much do 5 kites cost? (a) ₹96 (b) ₹50 (c) ₹240 (d) ₹80
37. 37.6 workers can build a wall in 4 days. How many days will 8 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 2 days (d) 6 days
38. 38.If 4 notebooks cost ₹12, how much do 8 notebooks cost? (a) ₹96 (b) ₹16 (c) ₹27 (d) ₹24
39. 39.If 9 notebooks cost ₹81, how much do 3 notebooks cost? (a) ₹27 (b) ₹36 (c) ₹243 (d) ₹75
40. 40.If 9 mangoes cost ₹72, how much do 12 mangoes cost? (a) ₹96 (b) ₹75 (c) ₹864 (d) ₹104

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