Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 853 · 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. 1.9 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 45 days (b) 9 days (c) 5 days (d) 21 days
2. 2.8 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 52 days (c) 53 days (d) 7 days
3. 3.6 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 18 days (b) 43 days (c) 42 days (d) 10 days
4. 4.4 workers can build a wall in 6 days. How many days will 12 workers take, working at the same speed? (a) 2 days (b) 18 days (c) 14 days (d) 3 days
5. 5.8 workers can build a wall in 7 days. How many days will 4 workers take, working at the same speed? (a) 15 days (b) 3 days (c) 11 days (d) 14 days
6. 6.₹147 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹126 (b) ₹21 (c) ₹42 (d) ₹105
7. 7.If 3 mangoes cost ₹72, how much do 4 mangoes cost? (a) ₹73 (b) ₹288 (c) ₹120 (d) ₹96
8. 8.If 3 mangoes cost ₹66, how much do 4 mangoes cost? (a) ₹67 (b) ₹264 (c) ₹88 (d) ₹110
9. 9.If 7 kites cost ₹35, how much do 11 kites cost? (a) ₹60 (b) ₹39 (c) ₹385 (d) ₹55
10. 10.If 8 mangoes cost ₹184, how much do 2 mangoes cost? (a) ₹69 (b) ₹368 (c) ₹178 (d) ₹46
11. 11.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 4 days (b) 2 days (c) 7 days (d) 3 days
12. 12.If 9 notebooks cost ₹63, how much do 7 notebooks cost? (a) ₹441 (b) ₹56 (c) ₹61 (d) ₹49
13. 13.If 2 notebooks cost ₹24, how much do 4 notebooks cost? (a) ₹26 (b) ₹96 (c) ₹60 (d) ₹48
14. 14.If 9 mangoes cost ₹117, how much do 10 mangoes cost? (a) ₹1170 (b) ₹130 (c) ₹143 (d) ₹118
15. 15.9 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 36 days (b) 37 days (c) 1 day (d) 15 days
16. 16.₹45 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹45 (b) ₹15 (c) ₹30 (d) ₹31
17. 17.If 7 mangoes cost ₹28, how much do 9 mangoes cost? (a) ₹36 (b) ₹30 (c) ₹40 (d) ₹252
18. 18.If 8 mangoes cost ₹152, how much do 3 mangoes cost? (a) ₹147 (b) ₹456 (c) ₹57 (d) ₹76
19. 19.₹252 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹126 (b) ₹147 (c) ₹105 (d) ₹21
20. 20.7 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 1 day (b) 7 days (c) 8 days (d) 6 days
21. 21.If 3 kites cost ₹9, how much do 9 kites cost? (a) ₹27 (b) ₹81 (c) ₹15 (d) ₹30
22. 22.9 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 63 days (b) 64 days (c) 7 days (d) 21 days
23. 23.If 5 mangoes cost ₹40, how much do 2 mangoes cost? (a) ₹37 (b) ₹24 (c) ₹80 (d) ₹16
24. 24.4 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 3 days (b) 5 days (c) 4 days (d) 10 days
25. 25.If 2 notebooks cost ₹46, how much do 9 notebooks cost? (a) ₹53 (b) ₹230 (c) ₹414 (d) ₹207
26. 26.₹253 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹92 (b) ₹184 (c) ₹23 (d) ₹161
27. 27.₹175 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹140 (b) ₹35 (c) ₹70 (d) ₹105
28. 28.₹533 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹205 (b) ₹369 (c) ₹41 (d) ₹328
29. 29.₹312 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹117 (b) ₹39 (c) ₹195 (d) ₹156
30. 30.₹115 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹23 (b) ₹46 (c) ₹92 (d) ₹69
31. 31.5 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 1 day (b) 7 days (c) 10 days (d) 11 days
32. 32.8 workers can build a wall in 15 days. How many days will 12 workers take, working at the same speed? (a) 9 days (b) 11 days (c) 19 days (d) 10 days
33. 33.If 9 mangoes cost ₹99, how much do 5 mangoes cost? (a) ₹495 (b) ₹95 (c) ₹55 (d) ₹66
34. 34.If 3 pens cost ₹18, how much do 6 pens cost? (a) ₹42 (b) ₹36 (c) ₹21 (d) ₹108
35. 35.₹231 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹105 (b) ₹147 (c) ₹126 (d) ₹21
36. 36.If 4 notebooks cost ₹56, how much do 10 notebooks cost? (a) ₹154 (b) ₹62 (c) ₹560 (d) ₹140
37. 37.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 11 days (b) 2 days (c) 4 days (d) 3 days
38. 38.If 5 mangoes cost ₹20, how much do 11 mangoes cost? (a) ₹44 (b) ₹220 (c) ₹48 (d) ₹26
39. 39.4 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 9 days (b) 5 days (c) 8 days (d) 4 days
40. 40.6 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 4 days (b) 14 days (c) 10 days (d) 15 days

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