Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 929 · 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 ₹48, how much do 4 pens cost? (a) ₹120 (b) ₹50 (c) ₹96 (d) ₹192
2. 2.If 6 mangoes cost ₹150, how much do 8 mangoes cost? (a) ₹200 (b) ₹225 (c) ₹152 (d) ₹1200
3. 3.₹102 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹51 (b) ₹17 (c) ₹85 (d) ₹102
4. 4.₹275 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹25 (b) ₹100 (c) ₹200 (d) ₹175
5. 5.₹350 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹175 (b) ₹125 (c) ₹25 (d) ₹225
6. 6.₹440 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹200 (b) ₹240 (c) ₹40 (d) ₹220
7. 7.If 7 pens cost ₹49, how much do 12 pens cost? (a) ₹91 (b) ₹54 (c) ₹84 (d) ₹588
8. 8.8 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 11 days (b) 17 days (c) 16 days (d) 1 day
9. 9.If 6 mangoes cost ₹78, how much do 4 mangoes cost? (a) ₹52 (b) ₹312 (c) ₹76 (d) ₹65
10. 10.If 9 pens cost ₹153, how much do 5 pens cost? (a) ₹85 (b) ₹102 (c) ₹149 (d) ₹765
11. 11.₹180 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹90 (b) ₹135 (c) ₹45 (d) ₹180
12. 12.₹69 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹69 (b) ₹23 (c) ₹46 (d) ₹47
13. 13.₹160 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹160 (b) ₹144 (c) ₹16 (d) ₹80
14. 14.5 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 11 days (c) 1 day (d) 7 days
15. 15.If 9 notebooks cost ₹81, how much do 10 notebooks cost? (a) ₹810 (b) ₹90 (c) ₹82 (d) ₹99
16. 16.8 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 41 days (b) 16 days (c) 4 days (d) 40 days
17. 17.If 7 mangoes cost ₹119, how much do 11 mangoes cost? (a) ₹1309 (b) ₹187 (c) ₹123 (d) ₹204
18. 18.8 workers can build a wall in 13 days. How many days will 4 workers take, working at the same speed? (a) 26 days (b) 17 days (c) 27 days (d) 9 days
19. 19.9 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 19 days (b) 27 days (c) 28 days (d) 11 days
20. 20.3 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 13 days (b) 1 day (c) 2 days (d) 16 days
21. 21.If 5 kites cost ₹70, how much do 9 kites cost? (a) ₹74 (b) ₹126 (c) ₹140 (d) ₹630
22. 22.₹72 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹40 (b) ₹8 (c) ₹36 (d) ₹32
23. 23.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 3 days (b) 8 days (c) 6 days (d) 7 days
24. 24.₹392 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹252 (b) ₹140 (c) ₹28 (d) ₹196
25. 25.If 9 notebooks cost ₹225, how much do 4 notebooks cost? (a) ₹220 (b) ₹125 (c) ₹100 (d) ₹900
26. 26.7 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 11 days (b) 19 days (c) 36 days (d) 35 days
27. 27.8 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 2 days (b) 9 days (c) 7 days (d) 8 days
28. 28.5 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 31 days (b) 30 days (c) 15 days (d) 9 days
29. 29.8 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 2 days (b) 9 days (c) 7 days (d) 8 days
30. 30.₹560 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹40 (b) ₹360 (c) ₹280 (d) ₹200
31. 31.If 5 notebooks cost ₹20, how much do 12 notebooks cost? (a) ₹240 (b) ₹27 (c) ₹48 (d) ₹52
32. 32.If 7 kites cost ₹21, how much do 10 kites cost? (a) ₹24 (b) ₹210 (c) ₹30 (d) ₹33
33. 33.If 4 kites cost ₹100, how much do 5 kites cost? (a) ₹101 (b) ₹125 (c) ₹500 (d) ₹150
34. 34.₹252 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹252 (b) ₹210 (c) ₹126 (d) ₹42
35. 35.₹120 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹50 (b) ₹70 (c) ₹10 (d) ₹60
36. 36.₹215 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹43 (b) ₹172 (c) ₹215 (d) ₹173
37. 37.If 2 notebooks cost ₹32, how much do 10 notebooks cost? (a) ₹160 (b) ₹40 (c) ₹320 (d) ₹176
38. 38.If 2 notebooks cost ₹36, how much do 4 notebooks cost? (a) ₹144 (b) ₹90 (c) ₹38 (d) ₹72
39. 39.6 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 18 days (b) 2 days (c) 19 days (d) 10 days
40. 40.If 9 notebooks cost ₹153, how much do 11 notebooks cost? (a) ₹187 (b) ₹1683 (c) ₹204 (d) ₹155

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