Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 49 · 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. 1.5 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 4 days (b) 6 days (c) 5 days (d) 13 days
2. 2.₹495 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹225 (b) ₹315 (c) ₹270 (d) ₹45
3. 3.8 workers can build a wall in 11 days. How many days will 4 workers take, working at the same speed? (a) 22 days (b) 15 days (c) 7 days (d) 23 days
4. 4.₹462 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹231 (b) ₹33 (c) ₹297 (d) ₹165
5. 5.₹602 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹215 (b) ₹43 (c) ₹301 (d) ₹387
6. 6.If 4 mangoes cost ₹88, how much do 5 mangoes cost? (a) ₹132 (b) ₹440 (c) ₹110 (d) ₹89
7. 7.3 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 4 days (b) 48 days (c) 3 days (d) 21 days
8. 8.If 3 mangoes cost ₹15, how much do 4 mangoes cost? (a) ₹20 (b) ₹25 (c) ₹16 (d) ₹60
9. 9.If 7 mangoes cost ₹154, how much do 4 mangoes cost? (a) ₹88 (b) ₹616 (c) ₹151 (d) ₹110
10. 10.5 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 5 days (b) 21 days (c) 11 days (d) 20 days
11. 11.If 2 notebooks cost ₹32, how much do 3 notebooks cost? (a) ₹64 (b) ₹33 (c) ₹96 (d) ₹48
12. 12.5 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 16 days (b) 11 days (c) 12 days (d) 10 days
13. 13.₹440 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹200 (b) ₹220 (c) ₹40 (d) ₹240
14. 14.₹350 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹300 (b) ₹50 (c) ₹175 (d) ₹350
15. 15.If 2 notebooks cost ₹32, how much do 9 notebooks cost? (a) ₹160 (b) ₹288 (c) ₹39 (d) ₹144
16. 16.If 2 pens cost ₹48, how much do 6 pens cost? (a) ₹52 (b) ₹288 (c) ₹168 (d) ₹144
17. 17.4 workers can build a wall in 14 days. How many days will 8 workers take, working at the same speed? (a) 18 days (b) 7 days (c) 28 days (d) 10 days
18. 18.4 workers can build a wall in 9 days. How many days will 12 workers take, working at the same speed? (a) 1 day (b) 17 days (c) 27 days (d) 3 days
19. 19.If 6 notebooks cost ₹72, how much do 4 notebooks cost? (a) ₹288 (b) ₹70 (c) ₹60 (d) ₹48
20. 20.If 6 mangoes cost ₹36, how much do 7 mangoes cost? (a) ₹37 (b) ₹48 (c) ₹252 (d) ₹42
21. 21.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 3 days (b) 11 days (c) 4 days (d) 2 days
22. 22.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 6 days (b) 15 days (c) 7 days (d) 8 days
23. 23.If 6 pens cost ₹150, how much do 3 pens cost? (a) ₹450 (b) ₹75 (c) ₹100 (d) ₹147
24. 24.8 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 4 days (b) 9 days (c) 8 days (d) 7 days
25. 25.8 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 29 days (b) 1 day (c) 13 days (d) 28 days
26. 26.If 7 mangoes cost ₹77, how much do 4 mangoes cost? (a) ₹74 (b) ₹308 (c) ₹44 (d) ₹55
27. 27.8 workers can build a wall in 14 days. How many days will 4 workers take, working at the same speed? (a) 7 days (b) 10 days (c) 28 days (d) 18 days
28. 28.If 2 mangoes cost ₹42, how much do 8 mangoes cost? (a) ₹48 (b) ₹336 (c) ₹189 (d) ₹168
29. 29.₹225 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹100 (b) ₹25 (c) ₹150 (d) ₹125
30. 30.If 5 mangoes cost ₹85, how much do 10 mangoes cost? (a) ₹90 (b) ₹850 (c) ₹187 (d) ₹170
31. 31.₹352 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹96 (b) ₹176 (c) ₹256 (d) ₹32
32. 32.If 8 kites cost ₹112, how much do 9 kites cost? (a) ₹113 (b) ₹126 (c) ₹140 (d) ₹1008
33. 33.If 4 pens cost ₹72, how much do 11 pens cost? (a) ₹79 (b) ₹792 (c) ₹216 (d) ₹198
34. 34.If 3 notebooks cost ₹42, how much do 5 notebooks cost? (a) ₹210 (b) ₹84 (c) ₹70 (d) ₹44
35. 35.If 7 kites cost ₹168, how much do 10 kites cost? (a) ₹240 (b) ₹1680 (c) ₹264 (d) ₹171
36. 36.If 4 pens cost ₹44, how much do 6 pens cost? (a) ₹264 (b) ₹46 (c) ₹66 (d) ₹77
37. 37.₹470 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹235 (b) ₹423 (c) ₹47 (d) ₹470
38. 38.If 6 pens cost ₹18, how much do 12 pens cost? (a) ₹36 (b) ₹216 (c) ₹39 (d) ₹24
39. 39.If 2 notebooks cost ₹20, how much do 3 notebooks cost? (a) ₹21 (b) ₹30 (c) ₹40 (d) ₹60
40. 40.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 49 days (b) 19 days (c) 9 days (d) 4 days

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