Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 511 · 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 10 days. How many days will 10 workers take, working at the same speed? (a) 17 days (b) 4 days (c) 3 days (d) 2 days
2. 2.If 2 mangoes cost ₹28, how much do 9 mangoes cost? (a) ₹140 (b) ₹35 (c) ₹252 (d) ₹126
3. 3.6 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 16 days (c) 9 days (d) 1 day
4. 4.If 7 notebooks cost ₹49, how much do 9 notebooks cost? (a) ₹63 (b) ₹441 (c) ₹70 (d) ₹51
5. 5.If 8 pens cost ₹128, how much do 4 pens cost? (a) ₹124 (b) ₹512 (c) ₹64 (d) ₹80
6. 6.If 9 kites cost ₹153, how much do 4 kites cost? (a) ₹85 (b) ₹68 (c) ₹148 (d) ₹612
7. 7.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 2 days (d) 11 days
8. 8.If 7 pens cost ₹161, how much do 5 pens cost? (a) ₹115 (b) ₹138 (c) ₹805 (d) ₹159
9. 9.6 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 8 days (b) 13 days (c) 11 days (d) 12 days
10. 10.If 6 pens cost ₹36, how much do 7 pens cost? (a) ₹252 (b) ₹48 (c) ₹37 (d) ₹42
11. 11.₹374 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹68 (b) ₹187 (c) ₹34 (d) ₹306
12. 12.₹400 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹40 (b) ₹200 (c) ₹360 (d) ₹400
13. 13.₹98 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹70 (b) ₹14 (c) ₹49 (d) ₹28
14. 14.If 5 kites cost ₹25, how much do 10 kites cost? (a) ₹50 (b) ₹250 (c) ₹55 (d) ₹30
15. 15.If 3 mangoes cost ₹54, how much do 4 mangoes cost? (a) ₹72 (b) ₹55 (c) ₹216 (d) ₹90
16. 16.If 8 mangoes cost ₹24, how much do 9 mangoes cost? (a) ₹216 (b) ₹30 (c) ₹25 (d) ₹27
17. 17.If 9 mangoes cost ₹180, how much do 8 mangoes cost? (a) ₹1440 (b) ₹180 (c) ₹179 (d) ₹160
18. 18.8 workers can build a wall in 7 days. How many days will 4 workers take, working at the same speed? (a) 11 days (b) 15 days (c) 3 days (d) 14 days
19. 19.₹264 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹96 (b) ₹132 (c) ₹24 (d) ₹168
20. 20.If 6 pens cost ₹66, how much do 12 pens cost? (a) ₹132 (b) ₹792 (c) ₹72 (d) ₹143
21. 21.4 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 12 days (b) 20 days (c) 5 days (d) 8 days
22. 22.If 6 pens cost ₹96, how much do 4 pens cost? (a) ₹94 (b) ₹384 (c) ₹64 (d) ₹80
23. 23.₹96 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹8 (b) ₹48 (c) ₹56 (d) ₹40
24. 24.If 2 kites cost ₹10, how much do 5 kites cost? (a) ₹30 (b) ₹50 (c) ₹25 (d) ₹13
25. 25.₹198 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹72 (b) ₹18 (c) ₹126 (d) ₹99
26. 26.₹288 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹24 (b) ₹120 (c) ₹144 (d) ₹168
27. 27.If 8 kites cost ₹64, how much do 4 kites cost? (a) ₹256 (b) ₹40 (c) ₹32 (d) ₹60
28. 28.₹110 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹10 (b) ₹55 (c) ₹90 (d) ₹20
29. 29.If 5 pens cost ₹35, how much do 11 pens cost? (a) ₹385 (b) ₹41 (c) ₹84 (d) ₹77
30. 30.If 2 notebooks cost ₹50, how much do 8 notebooks cost? (a) ₹400 (b) ₹56 (c) ₹200 (d) ₹225
31. 31.7 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 6 days (b) 8 days (c) 7 days (d) 5 days
32. 32.₹45 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹10 (b) ₹35 (c) ₹40 (d) ₹5
33. 33.₹66 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹33 (b) ₹54 (c) ₹6 (d) ₹12
34. 34.₹136 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹68 (b) ₹51 (c) ₹85 (d) ₹17
35. 35.3 workers can build a wall in 6 days. How many days will 9 workers take, working at the same speed? (a) 18 days (b) 12 days (c) 2 days (d) 3 days
36. 36.₹66 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹11 (b) ₹66 (c) ₹55 (d) ₹33
37. 37.If 2 notebooks cost ₹30, how much do 6 notebooks cost? (a) ₹180 (b) ₹105 (c) ₹90 (d) ₹34
38. 38.9 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 10 days (b) 9 days (c) 13 days (d) 8 days
39. 39.8 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) 9 days (d) 14 days
40. 40.If 8 pens cost ₹56, how much do 2 pens cost? (a) ₹21 (b) ₹14 (c) ₹50 (d) ₹112

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