Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 196 · 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 5 notebooks cost ₹55, how much do 3 notebooks cost? (a) ₹53 (b) ₹165 (c) ₹33 (d) ₹44
2. 2.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 7 days (b) 3 days (c) 2 days (d) 4 days
3. 3.₹196 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹98 (b) ₹70 (c) ₹14 (d) ₹126
4. 4.5 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 4 days (b) 11 days (c) 8 days (d) 10 days
5. 5.₹279 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹155 (b) ₹186 (c) ₹124 (d) ₹31
6. 6.₹319 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹232 (b) ₹261 (c) ₹29 (d) ₹87
7. 7.₹210 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹135 (b) ₹105 (c) ₹15 (d) ₹75
8. 8.5 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 6 days (b) 3 days (c) 4 days (d) 5 days
9. 9.9 workers can build a wall in 4 days. How many days will 6 workers take, working at the same speed? (a) 5 days (b) 1 day (c) 6 days (d) 7 days
10. 10.₹468 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹144 (b) ₹36 (c) ₹234 (d) ₹324
11. 11.If 8 kites cost ₹160, how much do 5 kites cost? (a) ₹800 (b) ₹120 (c) ₹157 (d) ₹100
12. 12.If 5 mangoes cost ₹120, how much do 6 mangoes cost? (a) ₹121 (b) ₹168 (c) ₹144 (d) ₹720
13. 13.If 7 notebooks cost ₹161, how much do 9 notebooks cost? (a) ₹230 (b) ₹207 (c) ₹163 (d) ₹1449
14. 14.If 8 pens cost ₹120, how much do 3 pens cost? (a) ₹115 (b) ₹45 (c) ₹60 (d) ₹360
15. 15.8 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 17 days (b) 4 days (c) 16 days (d) 12 days
16. 16.If 2 pens cost ₹26, how much do 7 pens cost? (a) ₹104 (b) ₹182 (c) ₹91 (d) ₹31
17. 17.₹160 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹64 (b) ₹80 (c) ₹96 (d) ₹32
18. 18.₹90 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹18 (b) ₹72 (c) ₹45 (d) ₹90
19. 19.₹130 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹91 (b) ₹13 (c) ₹39 (d) ₹65
20. 20.₹225 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹50 (b) ₹25 (c) ₹175 (d) ₹200
21. 21.If 8 mangoes cost ₹176, how much do 6 mangoes cost? (a) ₹174 (b) ₹1056 (c) ₹154 (d) ₹132
22. 22.If 4 pens cost ₹72, how much do 5 pens cost? (a) ₹360 (b) ₹73 (c) ₹108 (d) ₹90
23. 23.If 6 mangoes cost ₹138, how much do 7 mangoes cost? (a) ₹966 (b) ₹184 (c) ₹161 (d) ₹139
24. 24.5 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 4 days (b) 11 days (c) 5 days (d) 6 days
25. 25.If 9 mangoes cost ₹126, how much do 7 mangoes cost? (a) ₹124 (b) ₹882 (c) ₹112 (d) ₹98
26. 26.₹528 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹144 (b) ₹264 (c) ₹48 (d) ₹384
27. 27.9 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 11 days (b) 19 days (c) 27 days (d) 28 days
28. 28.₹135 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹135 (b) ₹91 (c) ₹90 (d) ₹45
29. 29.If 9 kites cost ₹99, how much do 2 kites cost? (a) ₹92 (b) ₹22 (c) ₹33 (d) ₹198
30. 30.4 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 10 days (b) 8 days (c) 13 days (d) 12 days
31. 31.If 9 kites cost ₹198, how much do 2 kites cost? (a) ₹66 (b) ₹191 (c) ₹396 (d) ₹44
32. 32.8 workers can build a wall in 6 days. How many days will 4 workers take, working at the same speed? (a) 12 days (b) 3 days (c) 2 days (d) 10 days
33. 33.₹275 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹50 (b) ₹250 (c) ₹225 (d) ₹25
34. 34.If 5 notebooks cost ₹120, how much do 11 notebooks cost? (a) ₹1320 (b) ₹126 (c) ₹288 (d) ₹264
35. 35.₹162 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹72 (b) ₹90 (c) ₹81 (d) ₹18
36. 36.If 8 kites cost ₹200, how much do 4 kites cost? (a) ₹800 (b) ₹100 (c) ₹125 (d) ₹196
37. 37.8 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 17 days (b) 1 day (c) 10 days (d) 16 days
38. 38.₹198 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹126 (b) ₹18 (c) ₹72 (d) ₹99
39. 39.If 4 notebooks cost ₹68, how much do 11 notebooks cost? (a) ₹748 (b) ₹187 (c) ₹204 (d) ₹75
40. 40.4 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 5 days (b) 14 days (c) 3 days (d) 4 days

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