Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 417 · 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 10 days. How many days will 5 workers take, working at the same speed? (a) 15 days (b) 14 days (c) 12 days (d) 8 days
2. 2.4 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 4 days (b) 6 days (c) 5 days (d) 3 days
3. 3.₹252 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹126 (b) ₹105 (c) ₹147 (d) ₹21
4. 4.If 2 pens cost ₹16, how much do 5 pens cost? (a) ₹80 (b) ₹40 (c) ₹19 (d) ₹48
5. 5.If 6 mangoes cost ₹36, how much do 7 mangoes cost? (a) ₹48 (b) ₹37 (c) ₹42 (d) ₹252
6. 6.If 8 mangoes cost ₹96, how much do 9 mangoes cost? (a) ₹108 (b) ₹864 (c) ₹120 (d) ₹97
7. 7.7 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 13 days (b) 14 days (c) 15 days (d) 11 days
8. 8.4 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 5 days (b) 4 days (c) 10 days (d) 3 days
9. 9.If 3 mangoes cost ₹69, how much do 4 mangoes cost? (a) ₹276 (b) ₹92 (c) ₹115 (d) ₹70
10. 10.If 9 notebooks cost ₹63, how much do 10 notebooks cost? (a) ₹630 (b) ₹64 (c) ₹77 (d) ₹70
11. 11.8 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 23 days (b) 24 days (c) 25 days (d) 12 days
12. 12.If 4 pens cost ₹88, how much do 9 pens cost? (a) ₹93 (b) ₹220 (c) ₹198 (d) ₹792
13. 13.₹84 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹42 (b) ₹49 (c) ₹7 (d) ₹35
14. 14.If 5 pens cost ₹95, how much do 7 pens cost? (a) ₹152 (b) ₹133 (c) ₹97 (d) ₹665
15. 15.6 workers can build a wall in 6 days. How many days will 4 workers take, working at the same speed? (a) 10 days (b) 8 days (c) 4 days (d) 9 days
16. 16.If 4 notebooks cost ₹72, how much do 11 notebooks cost? (a) ₹216 (b) ₹792 (c) ₹79 (d) ₹198
17. 17.4 workers can build a wall in 15 days. How many days will 2 workers take, working at the same speed? (a) 30 days (b) 13 days (c) 17 days (d) 31 days
18. 18.If 7 mangoes cost ₹133, how much do 3 mangoes cost? (a) ₹76 (b) ₹57 (c) ₹399 (d) ₹129
19. 19.If 6 mangoes cost ₹108, how much do 9 mangoes cost? (a) ₹972 (b) ₹180 (c) ₹111 (d) ₹162
20. 20.₹110 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹22 (b) ₹110 (c) ₹88 (d) ₹55
21. 21.8 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 16 days (b) 18 days (c) 9 days (d) 8 days
22. 22.If 8 pens cost ₹176, how much do 3 pens cost? (a) ₹528 (b) ₹171 (c) ₹88 (d) ₹66
23. 23.If 8 notebooks cost ₹112, how much do 10 notebooks cost? (a) ₹140 (b) ₹114 (c) ₹154 (d) ₹1120
24. 24.₹440 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹40 (b) ₹120 (c) ₹320 (d) ₹220
25. 25.If 8 mangoes cost ₹24, how much do 5 mangoes cost? (a) ₹15 (b) ₹21 (c) ₹120 (d) ₹18
26. 26.If 3 kites cost ₹21, how much do 2 kites cost? (a) ₹21 (b) ₹42 (c) ₹14 (d) ₹20
27. 27.If 8 mangoes cost ₹176, how much do 5 mangoes cost? (a) ₹173 (b) ₹110 (c) ₹880 (d) ₹132
28. 28.₹81 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹81 (b) ₹54 (c) ₹27 (d) ₹55
29. 29.₹195 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹15 (b) ₹135 (c) ₹60 (d) ₹150
30. 30.If 5 notebooks cost ₹85, how much do 9 notebooks cost? (a) ₹765 (b) ₹89 (c) ₹153 (d) ₹170
31. 31.If 8 notebooks cost ₹88, how much do 5 notebooks cost? (a) ₹85 (b) ₹55 (c) ₹440 (d) ₹66
32. 32.If 2 pens cost ₹12, how much do 10 pens cost? (a) ₹120 (b) ₹66 (c) ₹20 (d) ₹60
33. 33.3 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 48 days (b) 3 days (c) 21 days (d) 4 days
34. 34.If 6 notebooks cost ₹36, how much do 8 notebooks cost? (a) ₹38 (b) ₹48 (c) ₹54 (d) ₹288
35. 35.If 5 kites cost ₹125, how much do 2 kites cost? (a) ₹122 (b) ₹50 (c) ₹250 (d) ₹75
36. 36.₹400 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹280 (b) ₹120 (c) ₹200 (d) ₹40
37. 37.If 7 pens cost ₹56, how much do 2 pens cost? (a) ₹51 (b) ₹16 (c) ₹112 (d) ₹24
38. 38.₹42 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹7 (b) ₹35 (c) ₹21 (d) ₹42
39. 39.₹99 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹99 (b) ₹67 (c) ₹33 (d) ₹66
40. 40.If 3 pens cost ₹39, how much do 9 pens cost? (a) ₹130 (b) ₹45 (c) ₹117 (d) ₹351

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