Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 426 · 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.₹192 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹24 (b) ₹192 (c) ₹96 (d) ₹168
2. 2.4 workers can build a wall in 4 days. How many days will 8 workers take, working at the same speed? (a) 8 days (b) 2 days (c) 3 days (d) 1 day
3. 3.6 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 5 days (b) 7 days (c) 6 days (d) 14 days
4. 4.₹378 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹42 (b) ₹189 (c) ₹210 (d) ₹168
5. 5.If 2 pens cost ₹50, how much do 10 pens cost? (a) ₹58 (b) ₹500 (c) ₹250 (d) ₹275
6. 6.₹27 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹9 (b) ₹27 (c) ₹18 (d) ₹19
7. 7.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 27 days (b) 4 days (c) 3 days (d) 15 days
8. 8.8 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 1 day (c) 11 days (d) 17 days
9. 9.9 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 3 days (b) 27 days (c) 28 days (d) 15 days
10. 10.3 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 11 days (c) 8 days (d) 18 days
11. 11.If 2 pens cost ₹16, how much do 11 pens cost? (a) ₹25 (b) ₹176 (c) ₹96 (d) ₹88
12. 12.If 5 pens cost ₹70, how much do 6 pens cost? (a) ₹84 (b) ₹71 (c) ₹98 (d) ₹420
13. 13.7 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 8 days (b) 28 days (c) 16 days (d) 29 days
14. 14.If 9 mangoes cost ₹153, how much do 6 mangoes cost? (a) ₹119 (b) ₹150 (c) ₹918 (d) ₹102
15. 15.₹102 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹51 (b) ₹102 (c) ₹34 (d) ₹68
16. 16.₹50 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹15 (b) ₹5 (c) ₹25 (d) ₹35
17. 17.₹110 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹11 (b) ₹33 (c) ₹77 (d) ₹55
18. 18.4 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 12 days (c) 28 days (d) 16 days
19. 19.9 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 9 days (b) 7 days (c) 10 days (d) 8 days
20. 20.₹175 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹175 (b) ₹35 (c) ₹141 (d) ₹140
21. 21.9 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 4 days (b) 36 days (c) 18 days (d) 6 days
22. 22.3 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 9 days (b) 5 days (c) 6 days (d) 7 days
23. 23.If 7 mangoes cost ₹154, how much do 3 mangoes cost? (a) ₹462 (b) ₹88 (c) ₹66 (d) ₹150
24. 24.₹308 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹154 (b) ₹44 (c) ₹264 (d) ₹308
25. 25.If 5 notebooks cost ₹15, how much do 9 notebooks cost? (a) ₹30 (b) ₹19 (c) ₹135 (d) ₹27
26. 26.If 4 mangoes cost ₹16, how much do 2 mangoes cost? (a) ₹14 (b) ₹8 (c) ₹12 (d) ₹32
27. 27.₹252 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹162 (b) ₹126 (c) ₹18 (d) ₹90
28. 28.7 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 13 days (c) 15 days (d) 14 days
29. 29.₹264 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹132 (b) ₹24 (c) ₹72 (d) ₹192
30. 30.If 3 mangoes cost ₹39, how much do 5 mangoes cost? (a) ₹195 (b) ₹65 (c) ₹41 (d) ₹78
31. 31.8 workers can build a wall in 6 days. How many days will 12 workers take, working at the same speed? (a) 4 days (b) 9 days (c) 2 days (d) 10 days
32. 32.₹350 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹150 (b) ₹175 (c) ₹200 (d) ₹50
33. 33.If 4 notebooks cost ₹96, how much do 12 notebooks cost? (a) ₹312 (b) ₹104 (c) ₹1152 (d) ₹288
34. 34.6 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 6 days (b) 7 days (c) 8 days (d) 5 days
35. 35.If 9 pens cost ₹72, how much do 12 pens cost? (a) ₹104 (b) ₹96 (c) ₹864 (d) ₹75
36. 36.If 6 pens cost ₹72, how much do 10 pens cost? (a) ₹720 (b) ₹120 (c) ₹132 (d) ₹76
37. 37.9 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 9 days (b) 21 days (c) 5 days (d) 45 days
38. 38.If 5 notebooks cost ₹50, how much do 2 notebooks cost? (a) ₹47 (b) ₹30 (c) ₹100 (d) ₹20
39. 39.₹560 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹280 (b) ₹360 (c) ₹40 (d) ₹200
40. 40.₹210 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹60 (b) ₹150 (c) ₹105 (d) ₹30

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