Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 476 · 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 2 pens cost ₹32, how much do 4 pens cost? (a) ₹128 (b) ₹64 (c) ₹80 (d) ₹34
2. 2.9 workers can build a wall in 11 days. How many days will 3 workers take, working at the same speed? (a) 33 days (b) 17 days (c) 34 days (d) 5 days
3. 3.If 8 pens cost ₹128, how much do 3 pens cost? (a) ₹384 (b) ₹48 (c) ₹123 (d) ₹64
4. 4.₹322 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹184 (b) ₹161 (c) ₹138 (d) ₹46
5. 5.If 8 pens cost ₹32, how much do 2 pens cost? (a) ₹26 (b) ₹64 (c) ₹12 (d) ₹8
6. 6.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 27 days (b) 15 days (c) 4 days (d) 3 days
7. 7.If 9 mangoes cost ₹162, how much do 12 mangoes cost? (a) ₹234 (b) ₹216 (c) ₹165 (d) ₹1944
8. 8.₹517 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹47 (b) ₹376 (c) ₹329 (d) ₹188
9. 9.If 3 notebooks cost ₹18, how much do 8 notebooks cost? (a) ₹48 (b) ₹23 (c) ₹144 (d) ₹54
10. 10.₹90 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹72 (b) ₹18 (c) ₹45 (d) ₹90
11. 11.If 8 pens cost ₹184, how much do 5 pens cost? (a) ₹115 (b) ₹920 (c) ₹138 (d) ₹181
12. 12.6 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 1 day (c) 15 days (d) 16 days
13. 13.If 8 pens cost ₹40, how much do 9 pens cost? (a) ₹50 (b) ₹45 (c) ₹41 (d) ₹360
14. 14.₹384 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹240 (b) ₹144 (c) ₹192 (d) ₹48
15. 15.If 8 pens cost ₹152, how much do 3 pens cost? (a) ₹456 (b) ₹76 (c) ₹147 (d) ₹57
16. 16.₹30 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹18 (b) ₹15 (c) ₹6 (d) ₹12
17. 17.₹160 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹144 (b) ₹160 (c) ₹80 (d) ₹16
18. 18.₹196 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹98 (b) ₹49 (c) ₹147 (d) ₹196
19. 19.₹272 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹34 (b) ₹136 (c) ₹170 (d) ₹102
20. 20.If 2 pens cost ₹24, how much do 3 pens cost? (a) ₹25 (b) ₹48 (c) ₹72 (d) ₹36
21. 21.9 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 9 days (b) 8 days (c) 11 days (d) 10 days
22. 22.8 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 53 days (c) 7 days (d) 52 days
23. 23.₹75 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹60 (b) ₹15 (c) ₹45 (d) ₹30
24. 24.₹423 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹235 (b) ₹188 (c) ₹47 (d) ₹282
25. 25.7 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 21 days (b) 13 days (c) 22 days (d) 17 days
26. 26.9 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 19 days (b) 7 days (c) 39 days (d) 40 days
27. 27.6 workers can build a wall in 8 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 4 days (c) 11 days (d) 5 days
28. 28.₹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
29. 29.6 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 15 days (b) 13 days (c) 12 days (d) 11 days
30. 30.6 workers can build a wall in 15 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 11 days (c) 5 days (d) 45 days
31. 31.₹84 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹84 (b) ₹72 (c) ₹12 (d) ₹42
32. 32.If 9 notebooks cost ₹126, how much do 12 notebooks cost? (a) ₹129 (b) ₹1512 (c) ₹168 (d) ₹182
33. 33.If 7 kites cost ₹161, how much do 5 kites cost? (a) ₹159 (b) ₹138 (c) ₹805 (d) ₹115
34. 34.If 5 pens cost ₹40, how much do 12 pens cost? (a) ₹104 (b) ₹96 (c) ₹47 (d) ₹480
35. 35.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 25 days (b) 9 days (c) 13 days (d) 17 days
36. 36.If 4 kites cost ₹88, how much do 5 kites cost? (a) ₹110 (b) ₹440 (c) ₹89 (d) ₹132
37. 37.8 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 16 days (c) 17 days (d) 1 day
38. 38.4 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 3 days (b) 4 days (c) 5 days (d) 18 days
39. 39.3 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 3 days (b) 12 days (c) 4 days (d) 9 days
40. 40.If 5 mangoes cost ₹40, how much do 9 mangoes cost? (a) ₹72 (b) ₹360 (c) ₹44 (d) ₹80

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