Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 670 · 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 3 kites cost ₹57, how much do 6 kites cost? (a) ₹133 (b) ₹114 (c) ₹342 (d) ₹60
2. 2.₹140 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹56 (b) ₹28 (c) ₹70 (d) ₹84
3. 3.9 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 19 days (c) 17 days (d) 18 days
4. 4.4 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 9 days (c) 23 days (d) 22 days
5. 5.4 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 5 days (b) 20 days (c) 8 days (d) 12 days
6. 6.₹104 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹91 (b) ₹13 (c) ₹104 (d) ₹52
7. 7.₹238 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹238 (b) ₹119 (c) ₹204 (d) ₹34
8. 8.3 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 3 days (b) 5 days (c) 6 days (d) 7 days
9. 9.₹297 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹33 (b) ₹132 (c) ₹198 (d) ₹165
10. 10.If 3 kites cost ₹60, how much do 12 kites cost? (a) ₹69 (b) ₹260 (c) ₹240 (d) ₹720
11. 11.9 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 1 day (b) 7 days (c) 4 days (d) 3 days
12. 12.₹550 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹50 (b) ₹275 (c) ₹250 (d) ₹300
13. 13.If 2 kites cost ₹12, how much do 7 kites cost? (a) ₹17 (b) ₹84 (c) ₹48 (d) ₹42
14. 14.₹54 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹54 (b) ₹6 (c) ₹48 (d) ₹27
15. 15.If 7 pens cost ₹63, how much do 10 pens cost? (a) ₹99 (b) ₹90 (c) ₹66 (d) ₹630
16. 16.If 2 pens cost ₹14, how much do 7 pens cost? (a) ₹19 (b) ₹98 (c) ₹56 (d) ₹49
17. 17.₹60 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹40 (b) ₹20 (c) ₹60 (d) ₹30
18. 18.9 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 1 day (b) 8 days (c) 10 days (d) 9 days
19. 19.8 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 17 days (b) 7 days (c) 13 days (d) 16 days
20. 20.If 8 pens cost ₹128, how much do 10 pens cost? (a) ₹130 (b) ₹160 (c) ₹1280 (d) ₹176
21. 21.₹204 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹204 (b) ₹102 (c) ₹34 (d) ₹170
22. 22.9 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 1 day (b) 22 days (c) 21 days (d) 13 days
23. 23.3 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 10 days (b) 6 days (c) 18 days (d) 7 days
24. 24.If 3 mangoes cost ₹12, how much do 4 mangoes cost? (a) ₹16 (b) ₹48 (c) ₹13 (d) ₹20
25. 25.4 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 8 days (c) 6 days (d) 2 days
26. 26.If 3 notebooks cost ₹9, how much do 4 notebooks cost? (a) ₹12 (b) ₹36 (c) ₹15 (d) ₹10
27. 27.If 8 kites cost ₹136, how much do 7 kites cost? (a) ₹136 (b) ₹952 (c) ₹119 (d) ₹135
28. 28.8 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 25 days (b) 4 days (c) 24 days (d) 14 days
29. 29.If 7 kites cost ₹147, how much do 10 kites cost? (a) ₹150 (b) ₹210 (c) ₹1470 (d) ₹231
30. 30.₹341 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹155 (b) ₹186 (c) ₹217 (d) ₹31
31. 31.₹18 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹9 (b) ₹18 (c) ₹6 (d) ₹12
32. 32.If 8 kites cost ₹200, how much do 4 kites cost? (a) ₹800 (b) ₹125 (c) ₹196 (d) ₹100
33. 33.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 7 days (b) 6 days (c) 15 days (d) 8 days
34. 34.If 2 notebooks cost ₹14, how much do 5 notebooks cost? (a) ₹17 (b) ₹70 (c) ₹42 (d) ₹35
35. 35.If 3 notebooks cost ₹27, how much do 4 notebooks cost? (a) ₹28 (b) ₹36 (c) ₹108 (d) ₹45
36. 36.₹481 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹370 (b) ₹37 (c) ₹333 (d) ₹148
37. 37.₹63 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹14 (b) ₹56 (c) ₹49 (d) ₹7
38. 38.If 3 pens cost ₹24, how much do 11 pens cost? (a) ₹96 (b) ₹264 (c) ₹32 (d) ₹88
39. 39.₹429 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹195 (b) ₹234 (c) ₹39 (d) ₹273
40. 40.₹119 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹102 (b) ₹103 (c) ₹17 (d) ₹119

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