Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 392 · 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 14 days. How many days will 2 workers take, working at the same speed? (a) 63 days (b) 7 days (c) 64 days (d) 21 days
2. 2.₹105 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹90 (b) ₹30 (c) ₹15 (d) ₹75
3. 3.If 5 pens cost ₹100, how much do 6 pens cost? (a) ₹600 (b) ₹140 (c) ₹101 (d) ₹120
4. 4.4 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) 1 day (d) 3 days
5. 5.9 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 8 days (b) 10 days (c) 11 days (d) 9 days
6. 6.If 3 pens cost ₹66, how much do 5 pens cost? (a) ₹330 (b) ₹68 (c) ₹132 (d) ₹110
7. 7.₹40 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹24 (b) ₹8 (c) ₹16 (d) ₹20
8. 8.If 2 pens cost ₹12, how much do 7 pens cost? (a) ₹17 (b) ₹48 (c) ₹42 (d) ₹84
9. 9.If 3 notebooks cost ₹21, how much do 9 notebooks cost? (a) ₹189 (b) ₹63 (c) ₹70 (d) ₹27
10. 10.4 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 2 days (b) 1 day (c) 3 days (d) 11 days
11. 11.₹242 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹132 (b) ₹22 (c) ₹110 (d) ₹121
12. 12.₹176 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹16 (b) ₹64 (c) ₹112 (d) ₹88
13. 13.₹140 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹50 (b) ₹10 (c) ₹90 (d) ₹70
14. 14.If 5 notebooks cost ₹30, how much do 7 notebooks cost? (a) ₹32 (b) ₹42 (c) ₹48 (d) ₹210
15. 15.If 7 notebooks cost ₹154, how much do 11 notebooks cost? (a) ₹264 (b) ₹1694 (c) ₹158 (d) ₹242
16. 16.If 5 mangoes cost ₹60, how much do 9 mangoes cost? (a) ₹108 (b) ₹120 (c) ₹540 (d) ₹64
17. 17.7 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
18. 18.If 5 pens cost ₹75, how much do 6 pens cost? (a) ₹105 (b) ₹90 (c) ₹76 (d) ₹450
19. 19.8 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 56 days (b) 8 days (c) 20 days (d) 57 days
20. 20.If 2 pens cost ₹50, how much do 11 pens cost? (a) ₹59 (b) ₹275 (c) ₹300 (d) ₹550
21. 21.If 9 kites cost ₹144, how much do 11 kites cost? (a) ₹146 (b) ₹1584 (c) ₹192 (d) ₹176
22. 22.8 workers can build a wall in 14 days. How many days will 4 workers take, working at the same speed? (a) 10 days (b) 28 days (c) 18 days (d) 7 days
23. 23.If 5 kites cost ₹30, how much do 11 kites cost? (a) ₹36 (b) ₹72 (c) ₹66 (d) ₹330
24. 24.If 5 kites cost ₹40, how much do 3 kites cost? (a) ₹120 (b) ₹32 (c) ₹24 (d) ₹38
25. 25.6 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 12 days (b) 11 days (c) 8 days (d) 13 days
26. 26.5 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 6 days (b) 15 days (c) 20 days (d) 5 days
27. 27.9 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 7 days (b) 28 days (c) 17 days (d) 27 days
28. 28.If 2 notebooks cost ₹6, how much do 5 notebooks cost? (a) ₹30 (b) ₹18 (c) ₹9 (d) ₹15
29. 29.If 9 notebooks cost ₹90, how much do 5 notebooks cost? (a) ₹60 (b) ₹450 (c) ₹50 (d) ₹86
30. 30.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 7 days (b) 4 days (c) 3 days (d) 2 days
31. 31.If 5 notebooks cost ₹15, how much do 11 notebooks cost? (a) ₹21 (b) ₹33 (c) ₹36 (d) ₹165
32. 32.If 4 kites cost ₹52, how much do 12 kites cost? (a) ₹169 (b) ₹60 (c) ₹624 (d) ₹156
33. 33.If 8 mangoes cost ₹136, how much do 9 mangoes cost? (a) ₹137 (b) ₹1224 (c) ₹153 (d) ₹170
34. 34.8 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 3 days (b) 48 days (c) 6 days (d) 18 days
35. 35.5 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 16 days (b) 15 days (c) 13 days (d) 11 days
36. 36.₹416 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹208 (b) ₹32 (c) ₹256 (d) ₹160
37. 37.4 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 9 days (b) 5 days (c) 8 days (d) 7 days
38. 38.₹423 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹47 (b) ₹376 (c) ₹423 (d) ₹377
39. 39.If 2 kites cost ₹42, how much do 3 kites cost? (a) ₹84 (b) ₹63 (c) ₹126 (d) ₹43
40. 40.₹315 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹180 (b) ₹225 (c) ₹45 (d) ₹135

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