Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 303 · 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 9 notebooks cost ₹126, how much do 12 notebooks cost? (a) ₹182 (b) ₹168 (c) ₹129 (d) ₹1512
2. 2.₹312 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹195 (b) ₹39 (c) ₹117 (d) ₹156
3. 3.₹320 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹224 (b) ₹160 (c) ₹32 (d) ₹96
4. 4.9 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 13 days (b) 22 days (c) 1 day (d) 21 days
5. 5.₹105 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹60 (b) ₹45 (c) ₹75 (d) ₹15
6. 6.₹65 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹45 (b) ₹20 (c) ₹50 (d) ₹5
7. 7.₹351 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹27 (b) ₹270 (c) ₹243 (d) ₹108
8. 8.If 7 notebooks cost ₹175, how much do 2 notebooks cost? (a) ₹50 (b) ₹350 (c) ₹170 (d) ₹75
9. 9.₹264 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹24 (b) ₹132 (c) ₹72 (d) ₹192
10. 10.If 6 mangoes cost ₹24, how much do 11 mangoes cost? (a) ₹48 (b) ₹44 (c) ₹264 (d) ₹29
11. 11.7 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 15 days (b) 14 days (c) 2 days (d) 10 days
12. 12.If 5 kites cost ₹60, how much do 3 kites cost? (a) ₹58 (b) ₹36 (c) ₹48 (d) ₹180
13. 13.6 workers can build a wall in 11 days. How many days will 3 workers take, working at the same speed? (a) 8 days (b) 23 days (c) 14 days (d) 22 days
14. 14.4 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 20 days (b) 36 days (c) 5 days (d) 4 days
15. 15.₹209 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹133 (b) ₹19 (c) ₹114 (d) ₹95
16. 16.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 4 days (c) 49 days (d) 19 days
17. 17.₹216 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹126 (b) ₹90 (c) ₹108 (d) ₹18
18. 18.If 3 notebooks cost ₹12, how much do 4 notebooks cost? (a) ₹20 (b) ₹48 (c) ₹16 (d) ₹13
19. 19.₹276 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹115 (b) ₹138 (c) ₹23 (d) ₹161
20. 20.₹506 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹46 (b) ₹368 (c) ₹253 (d) ₹138
21. 21.₹624 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹312 (b) ₹432 (c) ₹48 (d) ₹192
22. 22.₹77 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹21 (b) ₹63 (c) ₹7 (d) ₹56
23. 23.6 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 18 days (c) 42 days (d) 43 days
24. 24.If 9 mangoes cost ₹72, how much do 4 mangoes cost? (a) ₹40 (b) ₹67 (c) ₹288 (d) ₹32
25. 25.If 7 pens cost ₹112, how much do 2 pens cost? (a) ₹224 (b) ₹107 (c) ₹48 (d) ₹32
26. 26.6 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
27. 27.₹165 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹33 (b) ₹132 (c) ₹99 (d) ₹66
28. 28.₹270 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹150 (b) ₹135 (c) ₹30 (d) ₹120
29. 29.If 7 kites cost ₹42, how much do 5 kites cost? (a) ₹40 (b) ₹210 (c) ₹36 (d) ₹30
30. 30.₹352 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹176 (b) ₹132 (c) ₹44 (d) ₹220
31. 31.₹125 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹25 (b) ₹125 (c) ₹100 (d) ₹101
32. 32.₹135 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹135 (b) ₹121 (c) ₹120 (d) ₹15
33. 33.5 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 7 days (c) 11 days (d) 1 day
34. 34.If 6 notebooks cost ₹114, how much do 2 notebooks cost? (a) ₹57 (b) ₹228 (c) ₹110 (d) ₹38
35. 35.₹304 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹114 (b) ₹38 (c) ₹152 (d) ₹190
36. 36.8 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 53 days (b) 52 days (c) 19 days (d) 7 days
37. 37.If 5 mangoes cost ₹40, how much do 6 mangoes cost? (a) ₹41 (b) ₹56 (c) ₹240 (d) ₹48
38. 38.₹434 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹31 (b) ₹217 (c) ₹279 (d) ₹155
39. 39.If 5 notebooks cost ₹20, how much do 6 notebooks cost? (a) ₹21 (b) ₹28 (c) ₹120 (d) ₹24
40. 40.₹280 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹160 (b) ₹40 (c) ₹140 (d) ₹120

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