Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 488 · 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. 1.9 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 9 days (b) 4 days (c) 10 days (d) 3 days
2. 2.₹564 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹47 (b) ₹282 (c) ₹329 (d) ₹235
3. 3.₹189 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹21 (b) ₹189 (c) ₹169 (d) ₹168
4. 4.If 2 pens cost ₹20, how much do 11 pens cost? (a) ₹120 (b) ₹29 (c) ₹220 (d) ₹110
5. 5.₹174 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹174 (b) ₹87 (c) ₹29 (d) ₹145
6. 6.₹532 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹190 (b) ₹266 (c) ₹342 (d) ₹38
7. 7.3 workers can build a wall in 8 days. How many days will 6 workers take, working at the same speed? (a) 4 days (b) 16 days (c) 5 days (d) 11 days
8. 8.₹220 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹110 (b) ₹20 (c) ₹140 (d) ₹80
9. 9.3 workers can build a wall in 4 days. How many days will 6 workers take, working at the same speed? (a) 2 days (b) 1 day (c) 8 days (d) 7 days
10. 10.If 4 kites cost ₹76, how much do 3 kites cost? (a) ₹57 (b) ₹75 (c) ₹76 (d) ₹228
11. 11.₹423 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹235 (b) ₹188 (c) ₹47 (d) ₹282
12. 12.₹546 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹168 (b) ₹42 (c) ₹378 (d) ₹273
13. 13.If 9 notebooks cost ₹54, how much do 12 notebooks cost? (a) ₹72 (b) ₹648 (c) ₹57 (d) ₹78
14. 14.₹130 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹65 (b) ₹80 (c) ₹10 (d) ₹50
15. 15.7 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
16. 16.If 5 mangoes cost ₹115, how much do 10 mangoes cost? (a) ₹120 (b) ₹1150 (c) ₹230 (d) ₹253
17. 17.If 6 kites cost ₹150, how much do 8 kites cost? (a) ₹152 (b) ₹1200 (c) ₹200 (d) ₹225
18. 18.9 workers can build a wall in 10 days. How many days will 6 workers take, working at the same speed? (a) 16 days (b) 13 days (c) 15 days (d) 7 days
19. 19.8 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 21 days (b) 20 days (c) 11 days (d) 19 days
20. 20.₹210 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹210 (b) ₹35 (c) ₹175 (d) ₹105
21. 21.₹90 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹70 (b) ₹20 (c) ₹45 (d) ₹10
22. 22.If 3 kites cost ₹75, how much do 12 kites cost? (a) ₹900 (b) ₹325 (c) ₹84 (d) ₹300
23. 23.If 5 mangoes cost ₹75, how much do 11 mangoes cost? (a) ₹81 (b) ₹165 (c) ₹825 (d) ₹180
24. 24.₹275 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹175 (b) ₹150 (c) ₹25 (d) ₹125
25. 25.If 3 mangoes cost ₹24, how much do 6 mangoes cost? (a) ₹27 (b) ₹144 (c) ₹56 (d) ₹48
26. 26.If 3 mangoes cost ₹39, how much do 4 mangoes cost? (a) ₹65 (b) ₹52 (c) ₹156 (d) ₹40
27. 27.4 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 14 days (b) 5 days (c) 3 days (d) 4 days
28. 28.If 5 pens cost ₹20, how much do 11 pens cost? (a) ₹48 (b) ₹44 (c) ₹26 (d) ₹220
29. 29.9 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 26 days (b) 28 days (c) 13 days (d) 27 days
30. 30.₹153 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹17 (b) ₹136 (c) ₹137 (d) ₹153
31. 31.7 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 7 days (b) 13 days (c) 8 days (d) 6 days
32. 32.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 4 days (b) 27 days (c) 15 days (d) 3 days
33. 33.If 9 notebooks cost ₹72, how much do 5 notebooks cost? (a) ₹40 (b) ₹48 (c) ₹68 (d) ₹360
34. 34.If 9 mangoes cost ₹72, how much do 3 mangoes cost? (a) ₹32 (b) ₹24 (c) ₹216 (d) ₹66
35. 35.9 workers can build a wall in 4 days. How many days will 6 workers take, working at the same speed? (a) 6 days (b) 1 day (c) 7 days (d) 5 days
36. 36.If 8 mangoes cost ₹200, how much do 7 mangoes cost? (a) ₹175 (b) ₹199 (c) ₹200 (d) ₹1400
37. 37.If 2 pens cost ₹32, how much do 12 pens cost? (a) ₹384 (b) ₹208 (c) ₹192 (d) ₹42
38. 38.If 7 kites cost ₹21, how much do 5 kites cost? (a) ₹105 (b) ₹19 (c) ₹18 (d) ₹15
39. 39.If 8 notebooks cost ₹112, how much do 4 notebooks cost? (a) ₹70 (b) ₹108 (c) ₹448 (d) ₹56
40. 40.8 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 1 day (b) 13 days (c) 29 days (d) 28 days

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