Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 122 · 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. 1.7 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 6 days (b) 8 days (c) 7 days (d) 1 day
2. 2.₹300 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹150 (b) ₹30 (c) ₹300 (d) ₹270
3. 3.If 9 kites cost ₹108, how much do 2 kites cost? (a) ₹36 (b) ₹24 (c) ₹101 (d) ₹216
4. 4.If 6 mangoes cost ₹30, how much do 10 mangoes cost? (a) ₹55 (b) ₹34 (c) ₹50 (d) ₹300
5. 5.9 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 8 days (b) 9 days (c) 5 days (d) 10 days
6. 6.6 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 1 day (b) 9 days (c) 15 days (d) 16 days
7. 7.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 13 days (b) 17 days (c) 25 days (d) 9 days
8. 8.₹160 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹32 (b) ₹64 (c) ₹96 (d) ₹80
9. 9.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 7 days (b) 15 days (c) 8 days (d) 6 days
10. 10.₹40 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹20 (b) ₹8 (c) ₹16 (d) ₹24
11. 11.8 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 8 days (b) 12 days (c) 7 days (d) 9 days
12. 12.If 8 kites cost ₹40, how much do 9 kites cost? (a) ₹41 (b) ₹50 (c) ₹45 (d) ₹360
13. 13.₹328 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹287 (b) ₹328 (c) ₹41 (d) ₹164
14. 14.5 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) 5 days (d) 20 days
15. 15.If 9 pens cost ₹63, how much do 7 pens cost? (a) ₹49 (b) ₹441 (c) ₹61 (d) ₹56
16. 16.If 3 notebooks cost ₹48, how much do 4 notebooks cost? (a) ₹64 (b) ₹80 (c) ₹192 (d) ₹49
17. 17.If 4 kites cost ₹28, how much do 7 kites cost? (a) ₹56 (b) ₹196 (c) ₹31 (d) ₹49
18. 18.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 4 days (b) 2 days (c) 3 days (d) 7 days
19. 19.5 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 5 days (b) 6 days (c) 4 days (d) 7 days
20. 20.6 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 40 days (b) 39 days (c) 9 days (d) 17 days
21. 21.If 9 mangoes cost ₹153, how much do 8 mangoes cost? (a) ₹152 (b) ₹136 (c) ₹1224 (d) ₹153
22. 22.4 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 5 days (c) 15 days (d) 14 days
23. 23.If 4 kites cost ₹12, how much do 7 kites cost? (a) ₹24 (b) ₹15 (c) ₹84 (d) ₹21
24. 24.₹99 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹66 (b) ₹67 (c) ₹99 (d) ₹33
25. 25.₹105 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹60 (b) ₹15 (c) ₹75 (d) ₹45
26. 26.₹136 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹17 (b) ₹51 (c) ₹85 (d) ₹68
27. 27.If 7 notebooks cost ₹49, how much do 11 notebooks cost? (a) ₹539 (b) ₹84 (c) ₹77 (d) ₹53
28. 28.3 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 7 days (b) 10 days (c) 18 days (d) 6 days
29. 29.₹517 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹235 (b) ₹47 (c) ₹282 (d) ₹329
30. 30.If 8 pens cost ₹112, how much do 9 pens cost? (a) ₹1008 (b) ₹126 (c) ₹140 (d) ₹113
31. 31.₹144 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹80 (b) ₹72 (c) ₹16 (d) ₹64
32. 32.If 9 kites cost ₹117, how much do 4 kites cost? (a) ₹468 (b) ₹52 (c) ₹112 (d) ₹65
33. 33.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 27 days (c) 26 days (d) 11 days
34. 34.If 2 pens cost ₹12, how much do 11 pens cost? (a) ₹132 (b) ₹66 (c) ₹72 (d) ₹21
35. 35.If 7 mangoes cost ₹168, how much do 8 mangoes cost? (a) ₹169 (b) ₹216 (c) ₹1344 (d) ₹192
36. 36.If 8 notebooks cost ₹72, how much do 2 notebooks cost? (a) ₹18 (b) ₹66 (c) ₹27 (d) ₹144
37. 37.3 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 48 days (b) 21 days (c) 4 days (d) 3 days
38. 38.If 6 kites cost ₹18, how much do 2 kites cost? (a) ₹14 (b) ₹36 (c) ₹9 (d) ₹6
39. 39.9 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 18 days (b) 6 days (c) 36 days (d) 4 days
40. 40.4 workers can build a wall in 4 days. How many days will 8 workers take, working at the same speed? (a) 3 days (b) 2 days (c) 8 days (d) 1 day

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