Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 194 · 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 4 mangoes cost ₹20, how much do 12 mangoes cost? (a) ₹65 (b) ₹28 (c) ₹240 (d) ₹60
2. 2.₹104 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹78 (b) ₹52 (c) ₹26 (d) ₹104
3. 3.If 9 pens cost ₹171, how much do 3 pens cost? (a) ₹513 (b) ₹165 (c) ₹76 (d) ₹57
4. 4.₹473 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹344 (b) ₹43 (c) ₹172 (d) ₹301
5. 5.₹231 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹105 (b) ₹126 (c) ₹147 (d) ₹21
6. 6.8 workers can build a wall in 14 days. How many days will 4 workers take, working at the same speed? (a) 10 days (b) 7 days (c) 28 days (d) 18 days
7. 7.If 6 pens cost ₹42, how much do 3 pens cost? (a) ₹39 (b) ₹28 (c) ₹126 (d) ₹21
8. 8.If 8 mangoes cost ₹64, how much do 12 mangoes cost? (a) ₹68 (b) ₹768 (c) ₹104 (d) ₹96
9. 9.If 8 pens cost ₹64, how much do 12 pens cost? (a) ₹768 (b) ₹68 (c) ₹96 (d) ₹104
10. 10.5 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 5 days (b) 15 days (c) 20 days (d) 6 days
11. 11.7 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 5 days (b) 35 days (c) 15 days (d) 36 days
12. 12.₹80 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹16 (b) ₹80 (c) ₹40 (d) ₹64
13. 13.If 3 notebooks cost ₹27, how much do 7 notebooks cost? (a) ₹72 (b) ₹31 (c) ₹63 (d) ₹189
14. 14.5 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 4 days (b) 5 days (c) 6 days (d) 3 days
15. 15.₹216 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹216 (b) ₹192 (c) ₹24 (d) ₹108
16. 16.3 workers can build a wall in 15 days. How many days will 9 workers take, working at the same speed? (a) 9 days (b) 21 days (c) 45 days (d) 5 days
17. 17.₹407 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹259 (b) ₹37 (c) ₹222 (d) ₹185
18. 18.7 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 5 days (b) 22 days (c) 21 days (d) 13 days
19. 19.5 workers can build a wall in 4 days. How many days will 10 workers take, working at the same speed? (a) 2 days (b) 8 days (c) 9 days (d) 3 days
20. 20.If 4 mangoes cost ₹40, how much do 12 mangoes cost? (a) ₹48 (b) ₹130 (c) ₹120 (d) ₹480
21. 21.₹72 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹48 (b) ₹72 (c) ₹36 (d) ₹24
22. 22.If 5 notebooks cost ₹120, how much do 8 notebooks cost? (a) ₹216 (b) ₹123 (c) ₹960 (d) ₹192
23. 23.₹432 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹216 (b) ₹48 (c) ₹432 (d) ₹384
24. 24.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 15 days (d) 27 days
25. 25.If 5 pens cost ₹120, how much do 7 pens cost? (a) ₹168 (b) ₹840 (c) ₹122 (d) ₹192
26. 26.If 8 mangoes cost ₹200, how much do 11 mangoes cost? (a) ₹203 (b) ₹2200 (c) ₹300 (d) ₹275
27. 27.₹248 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹248 (b) ₹124 (c) ₹217 (d) ₹31
28. 28.₹120 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹60 (b) ₹120 (c) ₹96 (d) ₹24
29. 29.6 workers can build a wall in 4 days. How many days will 8 workers take, working at the same speed? (a) 2 days (b) 3 days (c) 6 days (d) 4 days
30. 30.8 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 7 days (b) 8 days (c) 9 days (d) 2 days
31. 31.3 workers can build a wall in 4 days. How many days will 6 workers take, working at the same speed? (a) 2 days (b) 1 day (c) 8 days (d) 7 days
32. 32.If 8 kites cost ₹56, how much do 6 kites cost? (a) ₹49 (b) ₹42 (c) ₹54 (d) ₹336
33. 33.If 8 pens cost ₹176, how much do 3 pens cost? (a) ₹66 (b) ₹88 (c) ₹171 (d) ₹528
34. 34.8 workers can build a wall in 11 days. How many days will 4 workers take, working at the same speed? (a) 15 days (b) 7 days (c) 22 days (d) 23 days
35. 35.If 8 mangoes cost ₹152, how much do 4 mangoes cost? (a) ₹95 (b) ₹76 (c) ₹608 (d) ₹148
36. 36.If 4 pens cost ₹56, how much do 10 pens cost? (a) ₹560 (b) ₹154 (c) ₹140 (d) ₹62
37. 37.₹65 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹45 (b) ₹5 (c) ₹40 (d) ₹25
38. 38.₹611 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹188 (b) ₹47 (c) ₹470 (d) ₹423
39. 39.₹266 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹133 (b) ₹76 (c) ₹190 (d) ₹38
40. 40.₹644 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹322 (b) ₹46 (c) ₹414 (d) ₹230

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