Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 661 · 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. 1.3 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 21 days (b) 13 days (c) 22 days (d) 15 days
2. 2.₹200 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹200 (b) ₹100 (c) ₹20 (d) ₹180
3. 3.6 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 15 days (b) 4 days (c) 10 days (d) 14 days
4. 4.9 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 9 days (b) 15 days (c) 10 days (d) 16 days
5. 5.₹264 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹24 (b) ₹132 (c) ₹192 (d) ₹72
6. 6.If 8 notebooks cost ₹160, how much do 3 notebooks cost? (a) ₹80 (b) ₹60 (c) ₹480 (d) ₹155
7. 7.If 8 pens cost ₹96, how much do 2 pens cost? (a) ₹36 (b) ₹90 (c) ₹192 (d) ₹24
8. 8.9 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 1 day (b) 8 days (c) 10 days (d) 9 days
9. 9.If 3 pens cost ₹15, how much do 10 pens cost? (a) ₹150 (b) ₹22 (c) ₹50 (d) ₹55
10. 10.₹185 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹185 (b) ₹149 (c) ₹37 (d) ₹148
11. 11.If 3 mangoes cost ₹30, how much do 5 mangoes cost? (a) ₹60 (b) ₹50 (c) ₹32 (d) ₹150
12. 12.₹190 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹38 (b) ₹114 (c) ₹95 (d) ₹76
13. 13.If 7 notebooks cost ₹147, how much do 8 notebooks cost? (a) ₹1176 (b) ₹168 (c) ₹189 (d) ₹148
14. 14.If 2 pens cost ₹34, how much do 9 pens cost? (a) ₹153 (b) ₹170 (c) ₹306 (d) ₹41
15. 15.If 4 notebooks cost ₹28, how much do 7 notebooks cost? (a) ₹31 (b) ₹49 (c) ₹56 (d) ₹196
16. 16.If 3 mangoes cost ₹21, how much do 6 mangoes cost? (a) ₹42 (b) ₹126 (c) ₹24 (d) ₹49
17. 17.3 workers can build a wall in 4 days. How many days will 6 workers take, working at the same speed? (a) 8 days (b) 1 day (c) 7 days (d) 2 days
18. 18.₹119 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹17 (b) ₹51 (c) ₹85 (d) ₹68
19. 19.If 7 mangoes cost ₹112, how much do 3 mangoes cost? (a) ₹108 (b) ₹48 (c) ₹64 (d) ₹336
20. 20.6 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 27 days (c) 10 days (d) 26 days
21. 21.8 workers can build a wall in 6 days. How many days will 12 workers take, working at the same speed? (a) 10 days (b) 9 days (c) 2 days (d) 4 days
22. 22.7 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 14 days (c) 13 days (d) 9 days
23. 23.6 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 24 days (b) 18 days (c) 6 days (d) 7 days
24. 24.₹143 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹52 (b) ₹104 (c) ₹13 (d) ₹91
25. 25.If 9 notebooks cost ₹27, how much do 4 notebooks cost? (a) ₹22 (b) ₹108 (c) ₹15 (d) ₹12
26. 26.5 workers can build a wall in 8 days. How many days will 10 workers take, working at the same speed? (a) 16 days (b) 3 days (c) 4 days (d) 13 days
27. 27.If 6 notebooks cost ₹126, how much do 11 notebooks cost? (a) ₹231 (b) ₹252 (c) ₹1386 (d) ₹131
28. 28.7 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 8 days (c) 29 days (d) 28 days
29. 29.₹52 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹13 (b) ₹26 (c) ₹39 (d) ₹52
30. 30.If 6 kites cost ₹60, how much do 11 kites cost? (a) ₹120 (b) ₹660 (c) ₹65 (d) ₹110
31. 31.5 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 14 days (b) 10 days (c) 20 days (d) 21 days
32. 32.If 9 notebooks cost ₹225, how much do 7 notebooks cost? (a) ₹200 (b) ₹175 (c) ₹223 (d) ₹1575
33. 33.₹228 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹114 (b) ₹38 (c) ₹190 (d) ₹228
34. 34.If 6 mangoes cost ₹24, how much do 9 mangoes cost? (a) ₹40 (b) ₹36 (c) ₹216 (d) ₹27
35. 35.4 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 13 days (b) 16 days (c) 11 days (d) 9 days
36. 36.₹143 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹65 (b) ₹91 (c) ₹78 (d) ₹13
37. 37.6 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 34 days (b) 7 days (c) 33 days (d) 15 days
38. 38.If 6 pens cost ₹96, how much do 7 pens cost? (a) ₹97 (b) ₹672 (c) ₹128 (d) ₹112
39. 39.If 3 notebooks cost ₹21, how much do 8 notebooks cost? (a) ₹26 (b) ₹56 (c) ₹168 (d) ₹63
40. 40.₹48 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹42 (b) ₹48 (c) ₹24 (d) ₹6

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