Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 894 · 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 3 notebooks cost ₹63, how much do 11 notebooks cost? (a) ₹71 (b) ₹231 (c) ₹252 (d) ₹693
2. 2.₹500 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹150 (b) ₹250 (c) ₹350 (d) ₹50
3. 3.If 8 pens cost ₹184, how much do 12 pens cost? (a) ₹299 (b) ₹276 (c) ₹2208 (d) ₹188
4. 4.₹90 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹27 (b) ₹63 (c) ₹9 (d) ₹45
5. 5.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 4 days (b) 11 days (c) 3 days (d) 2 days
6. 6.3 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 7 days (c) 5 days (d) 9 days
7. 7.₹451 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹41 (b) ₹328 (c) ₹164 (d) ₹287
8. 8.4 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 5 days (b) 9 days (c) 14 days (d) 15 days
9. 9.If 2 pens cost ₹32, how much do 11 pens cost? (a) ₹192 (b) ₹41 (c) ₹176 (d) ₹352
10. 10.₹165 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹105 (b) ₹90 (c) ₹15 (d) ₹75
11. 11.8 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 8 days (b) 9 days (c) 2 days (d) 7 days
12. 12.If 8 notebooks cost ₹24, how much do 12 notebooks cost? (a) ₹28 (b) ₹36 (c) ₹39 (d) ₹288
13. 13.₹550 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹275 (b) ₹300 (c) ₹50 (d) ₹250
14. 14.If 8 notebooks cost ₹64, how much do 2 notebooks cost? (a) ₹24 (b) ₹128 (c) ₹58 (d) ₹16
15. 15.4 workers can build a wall in 12 days. How many days will 8 workers take, working at the same speed? (a) 6 days (b) 24 days (c) 16 days (d) 8 days
16. 16.₹48 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹36 (b) ₹12 (c) ₹24 (d) ₹48
17. 17.5 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 15 days (b) 11 days (c) 16 days (d) 7 days
18. 18.₹264 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹72 (b) ₹24 (c) ₹132 (d) ₹192
19. 19.7 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 7 days (b) 8 days (c) 6 days (d) 5 days
20. 20.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 3 days (b) 7 days (c) 6 days (d) 8 days
21. 21.If 7 mangoes cost ₹42, how much do 6 mangoes cost? (a) ₹41 (b) ₹36 (c) ₹42 (d) ₹252
22. 22.If 6 kites cost ₹66, how much do 2 kites cost? (a) ₹132 (b) ₹22 (c) ₹62 (d) ₹33
23. 23.₹494 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹152 (b) ₹38 (c) ₹247 (d) ₹342
24. 24.₹308 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹28 (b) ₹140 (c) ₹154 (d) ₹168
25. 25.₹396 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹198 (b) ₹44 (c) ₹220 (d) ₹176
26. 26.₹387 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹172 (b) ₹215 (c) ₹43 (d) ₹258
27. 27.9 workers can build a wall in 5 days. How many days will 3 workers take, working at the same speed? (a) 15 days (b) 16 days (c) 14 days (d) 11 days
28. 28.If 4 kites cost ₹48, how much do 9 kites cost? (a) ₹432 (b) ₹120 (c) ₹53 (d) ₹108
29. 29.5 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 10 days (b) 4 days (c) 11 days (d) 8 days
30. 30.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 7 days (b) 8 days (c) 6 days (d) 15 days
31. 31.₹420 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹378 (b) ₹42 (c) ₹210 (d) ₹420
32. 32.₹351 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹351 (b) ₹39 (c) ₹313 (d) ₹312
33. 33.₹585 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹405 (b) ₹45 (c) ₹360 (d) ₹225
34. 34.If 8 notebooks cost ₹176, how much do 11 notebooks cost? (a) ₹1936 (b) ₹179 (c) ₹242 (d) ₹264
35. 35.If 4 pens cost ₹20, how much do 5 pens cost? (a) ₹25 (b) ₹100 (c) ₹21 (d) ₹30
36. 36.₹66 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹36 (b) ₹33 (c) ₹6 (d) ₹30
37. 37.₹169 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹52 (b) ₹13 (c) ₹117 (d) ₹130
38. 38.If 9 pens cost ₹162, how much do 7 pens cost? (a) ₹126 (b) ₹160 (c) ₹1134 (d) ₹144
39. 39.₹540 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹45 (b) ₹270 (c) ₹225 (d) ₹315
40. 40.₹182 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹70 (b) ₹91 (c) ₹112 (d) ₹14

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