Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 255 · 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 2 pens cost ₹8, how much do 3 pens cost? (a) ₹12 (b) ₹24 (c) ₹9 (d) ₹16
2. 2.5 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 6 days (b) 5 days (c) 15 days (d) 20 days
3. 3.If 2 pens cost ₹6, how much do 3 pens cost? (a) ₹9 (b) ₹18 (c) ₹12 (d) ₹7
4. 4.7 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 15 days (c) 14 days (d) 9 days
5. 5.3 workers can build a wall in 12 days. How many days will 9 workers take, working at the same speed? (a) 36 days (b) 6 days (c) 18 days (d) 4 days
6. 6.3 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 4 days (b) 12 days (c) 9 days (d) 3 days
7. 7.If 8 mangoes cost ₹40, how much do 9 mangoes cost? (a) ₹41 (b) ₹50 (c) ₹45 (d) ₹360
8. 8.₹450 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹405 (b) ₹45 (c) ₹450 (d) ₹225
9. 9.If 7 kites cost ₹84, how much do 8 kites cost? (a) ₹96 (b) ₹672 (c) ₹85 (d) ₹108
10. 10.₹432 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹192 (b) ₹240 (c) ₹48 (d) ₹216
11. 11.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 15 days (b) 27 days (c) 4 days (d) 3 days
12. 12.₹198 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹99 (b) ₹18 (c) ₹54 (d) ₹144
13. 13.If 9 kites cost ₹108, how much do 2 kites cost? (a) ₹101 (b) ₹216 (c) ₹24 (d) ₹36
14. 14.4 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 10 days (c) 11 days (d) 3 days
15. 15.₹187 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹136 (b) ₹68 (c) ₹17 (d) ₹119
16. 16.₹42 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹18 (b) ₹24 (c) ₹21 (d) ₹6
17. 17.If 3 pens cost ₹57, how much do 4 pens cost? (a) ₹228 (b) ₹58 (c) ₹76 (d) ₹95
18. 18.₹369 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹287 (b) ₹41 (c) ₹328 (d) ₹82
19. 19.If 6 mangoes cost ₹138, how much do 11 mangoes cost? (a) ₹1518 (b) ₹253 (c) ₹276 (d) ₹143
20. 20.₹96 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹48 (b) ₹96 (c) ₹72 (d) ₹24
21. 21.₹40 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹24 (b) ₹16 (c) ₹20 (d) ₹8
22. 22.₹210 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹105 (b) ₹210 (c) ₹35 (d) ₹175
23. 23.4 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 2 days (b) 9 days (c) 6 days (d) 8 days
24. 24.7 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 11 days (b) 36 days (c) 19 days (d) 35 days
25. 25.4 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 4 days (b) 5 days (c) 3 days (d) 18 days
26. 26.If 2 notebooks cost ₹38, how much do 5 notebooks cost? (a) ₹41 (b) ₹114 (c) ₹95 (d) ₹190
27. 27.5 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 10 days (b) 11 days (c) 9 days (d) 7 days
28. 28.If 3 mangoes cost ₹72, how much do 4 mangoes cost? (a) ₹120 (b) ₹288 (c) ₹96 (d) ₹73
29. 29.₹275 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹125 (b) ₹150 (c) ₹175 (d) ₹25
30. 30.₹279 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹124 (b) ₹31 (c) ₹155 (d) ₹186
31. 31.If 4 notebooks cost ₹84, how much do 3 notebooks cost? (a) ₹83 (b) ₹252 (c) ₹84 (d) ₹63
32. 32.If 3 pens cost ₹69, how much do 6 pens cost? (a) ₹72 (b) ₹138 (c) ₹161 (d) ₹414
33. 33.If 4 pens cost ₹68, how much do 3 pens cost? (a) ₹51 (b) ₹67 (c) ₹68 (d) ₹204
34. 34.8 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 7 days (b) 10 days (c) 8 days (d) 9 days
35. 35.₹126 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹63 (b) ₹126 (c) ₹84 (d) ₹42
36. 36.₹117 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹13 (b) ₹105 (c) ₹117 (d) ₹104
37. 37.If 5 notebooks cost ₹110, how much do 3 notebooks cost? (a) ₹66 (b) ₹108 (c) ₹330 (d) ₹88
38. 38.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 6 days (b) 3 days (c) 7 days (d) 8 days
39. 39.8 workers can build a wall in 13 days. How many days will 4 workers take, working at the same speed? (a) 9 days (b) 27 days (c) 17 days (d) 26 days
40. 40.If 7 kites cost ₹28, how much do 8 kites cost? (a) ₹32 (b) ₹29 (c) ₹224 (d) ₹36

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