Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 31 · 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 6 days. How many days will 6 workers take, working at the same speed? (a) 8 days (b) 6 days (c) 7 days (d) 5 days
2. 2.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 4 days (b) 27 days (c) 3 days (d) 15 days
3. 3.If 2 kites cost ₹38, how much do 7 kites cost? (a) ₹152 (b) ₹133 (c) ₹43 (d) ₹266
4. 4.If 4 notebooks cost ₹24, how much do 11 notebooks cost? (a) ₹264 (b) ₹72 (c) ₹31 (d) ₹66
5. 5.If 7 notebooks cost ₹63, how much do 9 notebooks cost? (a) ₹65 (b) ₹567 (c) ₹90 (d) ₹81
6. 6.If 7 pens cost ₹112, how much do 9 pens cost? (a) ₹160 (b) ₹1008 (c) ₹144 (d) ₹114
7. 7.6 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 10 days (c) 27 days (d) 26 days
8. 8.3 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 17 days (b) 25 days (c) 13 days (d) 9 days
9. 9.7 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 35 days (b) 11 days (c) 19 days (d) 36 days
10. 10.6 workers can build a wall in 4 days. How many days will 8 workers take, working at the same speed? (a) 2 days (b) 4 days (c) 6 days (d) 3 days
11. 11.If 6 pens cost ₹24, how much do 7 pens cost? (a) ₹32 (b) ₹168 (c) ₹28 (d) ₹25
12. 12.8 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 6 days (b) 3 days (c) 48 days (d) 18 days
13. 13.If 6 pens cost ₹72, how much do 12 pens cost? (a) ₹144 (b) ₹864 (c) ₹156 (d) ₹78
14. 14.₹238 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹119 (b) ₹34 (c) ₹170 (d) ₹68
15. 15.If 9 mangoes cost ₹144, how much do 4 mangoes cost? (a) ₹139 (b) ₹80 (c) ₹64 (d) ₹576
16. 16.₹252 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹180 (b) ₹36 (c) ₹126 (d) ₹72
17. 17.₹77 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹11 (b) ₹66 (c) ₹22 (d) ₹55
18. 18.If 9 mangoes cost ₹45, how much do 11 mangoes cost? (a) ₹495 (b) ₹47 (c) ₹60 (d) ₹55
19. 19.If 7 pens cost ₹63, how much do 4 pens cost? (a) ₹45 (b) ₹60 (c) ₹36 (d) ₹252
20. 20.8 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 17 days (b) 13 days (c) 16 days (d) 15 days
21. 21.₹186 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹186 (b) ₹155 (c) ₹93 (d) ₹31
22. 22.₹128 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹32 (b) ₹128 (c) ₹96 (d) ₹64
23. 23.₹576 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹48 (b) ₹240 (c) ₹288 (d) ₹336
24. 24.6 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 3 days (c) 22 days (d) 21 days
25. 25.₹270 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹189 (b) ₹135 (c) ₹27 (d) ₹81
26. 26.₹341 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹155 (b) ₹31 (c) ₹186 (d) ₹217
27. 27.₹100 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹30 (b) ₹10 (c) ₹50 (d) ₹70
28. 28.If 7 pens cost ₹49, how much do 4 pens cost? (a) ₹46 (b) ₹196 (c) ₹35 (d) ₹28
29. 29.₹128 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹48 (b) ₹80 (c) ₹64 (d) ₹16
30. 30.If 3 pens cost ₹69, how much do 4 pens cost? (a) ₹70 (b) ₹276 (c) ₹92 (d) ₹115
31. 31.6 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 12 days (c) 8 days (d) 13 days
32. 32.₹168 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹168 (b) ₹28 (c) ₹84 (d) ₹140
33. 33.8 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 16 days (b) 12 days (c) 17 days (d) 4 days
34. 34.If 3 mangoes cost ₹57, how much do 4 mangoes cost? (a) ₹228 (b) ₹76 (c) ₹95 (d) ₹58
35. 35.₹125 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹50 (b) ₹100 (c) ₹25 (d) ₹75
36. 36.3 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
37. 37.₹329 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹282 (b) ₹94 (c) ₹235 (d) ₹47
38. 38.If 8 mangoes cost ₹168, how much do 7 mangoes cost? (a) ₹147 (b) ₹1176 (c) ₹168 (d) ₹167
39. 39.If 7 pens cost ₹98, how much do 12 pens cost? (a) ₹182 (b) ₹103 (c) ₹1176 (d) ₹168
40. 40.6 workers can build a wall in 14 days. How many days will 4 workers take, working at the same speed? (a) 16 days (b) 22 days (c) 12 days (d) 21 days

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