Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 527 · 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. 1.6 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 8 days (c) 16 days (d) 36 days
2. 2.₹98 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹49 (b) ₹14 (c) ₹42 (d) ₹56
3. 3.₹559 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹215 (b) ₹43 (c) ₹387 (d) ₹344
4. 4.7 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 14 days (c) 9 days (d) 15 days
5. 5.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 9 days (b) 6 days (c) 4 days (d) 5 days
6. 6.8 workers can build a wall in 7 days. How many days will 4 workers take, working at the same speed? (a) 3 days (b) 15 days (c) 11 days (d) 14 days
7. 7.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 3 days (b) 11 days (c) 2 days (d) 4 days
8. 8.₹156 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹78 (b) ₹39 (c) ₹117 (d) ₹156
9. 9.6 workers can build a wall in 4 days. How many days will 3 workers take, working at the same speed? (a) 2 days (b) 8 days (c) 7 days (d) 1 day
10. 10.If 8 kites cost ₹80, how much do 11 kites cost? (a) ₹83 (b) ₹120 (c) ₹110 (d) ₹880
11. 11.If 6 notebooks cost ₹78, how much do 2 notebooks cost? (a) ₹39 (b) ₹26 (c) ₹156 (d) ₹74
12. 12.If 6 pens cost ₹114, how much do 8 pens cost? (a) ₹116 (b) ₹171 (c) ₹912 (d) ₹152
13. 13.₹110 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹90 (b) ₹55 (c) ₹20 (d) ₹10
14. 14.₹598 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹299 (b) ₹230 (c) ₹368 (d) ₹46
15. 15.9 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 8 days (b) 5 days (c) 10 days (d) 9 days
16. 16.If 9 pens cost ₹90, how much do 8 pens cost? (a) ₹90 (b) ₹89 (c) ₹720 (d) ₹80
17. 17.If 6 notebooks cost ₹138, how much do 3 notebooks cost? (a) ₹69 (b) ₹92 (c) ₹414 (d) ₹135
18. 18.If 8 pens cost ₹40, how much do 7 pens cost? (a) ₹39 (b) ₹280 (c) ₹40 (d) ₹35
19. 19.If 8 mangoes cost ₹32, how much do 2 mangoes cost? (a) ₹12 (b) ₹8 (c) ₹26 (d) ₹64
20. 20.If 2 mangoes cost ₹28, how much do 3 mangoes cost? (a) ₹42 (b) ₹84 (c) ₹29 (d) ₹56
21. 21.9 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 37 days (b) 15 days (c) 1 day (d) 36 days
22. 22.3 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 13 days (c) 7 days (d) 12 days
23. 23.₹42 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹24 (b) ₹18 (c) ₹6 (d) ₹21
24. 24.If 8 kites cost ₹144, how much do 3 kites cost? (a) ₹432 (b) ₹139 (c) ₹72 (d) ₹54
25. 25.₹80 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹40 (b) ₹56 (c) ₹8 (d) ₹24
26. 26.If 8 pens cost ₹136, how much do 4 pens cost? (a) ₹85 (b) ₹132 (c) ₹68 (d) ₹544
27. 27.₹539 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹49 (b) ₹343 (c) ₹294 (d) ₹245
28. 28.₹290 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹145 (b) ₹261 (c) ₹29 (d) ₹290
29. 29.8 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 8 days (b) 9 days (c) 2 days (d) 7 days
30. 30.₹35 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹31 (b) ₹35 (c) ₹5 (d) ₹30
31. 31.7 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 13 days (b) 11 days (c) 14 days (d) 15 days
32. 32.₹434 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹217 (b) ₹279 (c) ₹31 (d) ₹155
33. 33.If 4 pens cost ₹96, how much do 6 pens cost? (a) ₹144 (b) ₹168 (c) ₹98 (d) ₹576
34. 34.₹240 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹96 (b) ₹144 (c) ₹48 (d) ₹120
35. 35.If 2 mangoes cost ₹34, how much do 10 mangoes cost? (a) ₹340 (b) ₹170 (c) ₹187 (d) ₹42
36. 36.3 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 2 days (d) 17 days
37. 37.₹290 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹145 (b) ₹203 (c) ₹87 (d) ₹29
38. 38.₹156 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹156 (b) ₹78 (c) ₹130 (d) ₹26
39. 39.₹91 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹63 (b) ₹7 (c) ₹56 (d) ₹35
40. 40.If 5 pens cost ₹95, how much do 2 pens cost? (a) ₹92 (b) ₹190 (c) ₹57 (d) ₹38

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