Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 674 · 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. 1.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 2 days (b) 3 days (c) 4 days (d) 7 days
2. 2.₹96 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹72 (b) ₹48 (c) ₹24 (d) ₹96
3. 3.₹231 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹165 (b) ₹33 (c) ₹99 (d) ₹132
4. 4.If 6 kites cost ₹150, how much do 12 kites cost? (a) ₹325 (b) ₹156 (c) ₹300 (d) ₹1800
5. 5.8 workers can build a wall in 13 days. How many days will 4 workers take, working at the same speed? (a) 9 days (b) 26 days (c) 27 days (d) 17 days
6. 6.If 2 mangoes cost ₹24, how much do 3 mangoes cost? (a) ₹36 (b) ₹48 (c) ₹25 (d) ₹72
7. 7.₹616 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹220 (b) ₹44 (c) ₹396 (d) ₹308
8. 8.If 9 kites cost ₹153, how much do 4 kites cost? (a) ₹148 (b) ₹85 (c) ₹612 (d) ₹68
9. 9.If 9 kites cost ₹90, how much do 11 kites cost? (a) ₹990 (b) ₹120 (c) ₹110 (d) ₹92
10. 10.5 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 5 days (b) 6 days (c) 4 days (d) 17 days
11. 11.₹352 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹224 (b) ₹32 (c) ₹128 (d) ₹176
12. 12.If 3 pens cost ₹27, how much do 7 pens cost? (a) ₹72 (b) ₹31 (c) ₹63 (d) ₹189
13. 13.₹112 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹96 (b) ₹112 (c) ₹16 (d) ₹56
14. 14.₹336 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹216 (b) ₹24 (c) ₹168 (d) ₹120
15. 15.9 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 7 days (b) 39 days (c) 19 days (d) 40 days
16. 16.If 8 mangoes cost ₹56, how much do 7 mangoes cost? (a) ₹56 (b) ₹392 (c) ₹55 (d) ₹49
17. 17.₹84 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹49 (b) ₹42 (c) ₹35 (d) ₹7
18. 18.₹242 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹110 (b) ₹121 (c) ₹22 (d) ₹132
19. 19.If 5 notebooks cost ₹85, how much do 9 notebooks cost? (a) ₹170 (b) ₹89 (c) ₹153 (d) ₹765
20. 20.₹136 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹68 (b) ₹119 (c) ₹136 (d) ₹17
21. 21.4 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 12 days (b) 4 days (c) 8 days (d) 3 days
22. 22.6 workers can build a wall in 9 days. How many days will 2 workers take, working at the same speed? (a) 27 days (b) 3 days (c) 5 days (d) 13 days
23. 23.If 6 pens cost ₹120, how much do 7 pens cost? (a) ₹121 (b) ₹840 (c) ₹160 (d) ₹140
24. 24.₹276 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹138 (b) ₹23 (c) ₹161 (d) ₹115
25. 25.8 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 33 days (b) 14 days (c) 2 days (d) 32 days
26. 26.8 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 20 days (b) 11 days (c) 21 days (d) 19 days
27. 27.₹200 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹40 (b) ₹100 (c) ₹160 (d) ₹200
28. 28.If 3 notebooks cost ₹9, how much do 4 notebooks cost? (a) ₹36 (b) ₹10 (c) ₹12 (d) ₹15
29. 29.₹539 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹343 (b) ₹49 (c) ₹294 (d) ₹245
30. 30.₹340 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹102 (b) ₹170 (c) ₹238 (d) ₹34
31. 31.9 workers can build a wall in 11 days. How many days will 3 workers take, working at the same speed? (a) 34 days (b) 33 days (c) 5 days (d) 17 days
32. 32.₹72 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹48 (b) ₹36 (c) ₹24 (d) ₹72
33. 33.₹336 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹210 (b) ₹126 (c) ₹168 (d) ₹42
34. 34.If 5 notebooks cost ₹100, how much do 6 notebooks cost? (a) ₹140 (b) ₹600 (c) ₹101 (d) ₹120
35. 35.7 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 13 days (b) 5 days (c) 21 days (d) 22 days
36. 36.₹176 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹88 (b) ₹80 (c) ₹96 (d) ₹16
37. 37.₹308 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹154 (b) ₹196 (c) ₹112 (d) ₹28
38. 38.If 5 mangoes cost ₹90, how much do 8 mangoes cost? (a) ₹93 (b) ₹720 (c) ₹162 (d) ₹144
39. 39.7 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 8 days (b) 16 days (c) 28 days (d) 29 days
40. 40.₹600 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹300 (b) ₹50 (c) ₹250 (d) ₹350

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