Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 132 · 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.₹220 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹110 (b) ₹176 (c) ₹220 (d) ₹44
2. 2.If 8 kites cost ₹168, how much do 2 kites cost? (a) ₹162 (b) ₹63 (c) ₹336 (d) ₹42
3. 3.9 workers can build a wall in 4 days. How many days will 3 workers take, working at the same speed? (a) 10 days (b) 13 days (c) 12 days (d) 11 days
4. 4.₹559 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹43 (b) ₹387 (c) ₹215 (d) ₹344
5. 5.If 9 notebooks cost ₹81, how much do 3 notebooks cost? (a) ₹36 (b) ₹243 (c) ₹27 (d) ₹75
6. 6.4 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 9 days (b) 8 days (c) 5 days (d) 7 days
7. 7.₹364 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹182 (b) ₹28 (c) ₹252 (d) ₹112
8. 8.If 4 kites cost ₹16, how much do 11 kites cost? (a) ₹23 (b) ₹176 (c) ₹48 (d) ₹44
9. 9.6 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 6 days (b) 5 days (c) 10 days (d) 7 days
10. 10.9 workers can build a wall in 8 days. How many days will 12 workers take, working at the same speed? (a) 11 days (b) 7 days (c) 5 days (d) 6 days
11. 11.8 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 52 days (c) 53 days (d) 19 days
12. 12.If 3 mangoes cost ₹69, how much do 5 mangoes cost? (a) ₹138 (b) ₹345 (c) ₹115 (d) ₹71
13. 13.If 3 pens cost ₹60, how much do 2 pens cost? (a) ₹40 (b) ₹60 (c) ₹59 (d) ₹120
14. 14.If 5 mangoes cost ₹20, how much do 12 mangoes cost? (a) ₹27 (b) ₹240 (c) ₹52 (d) ₹48
15. 15.8 workers can build a wall in 9 days. How many days will 12 workers take, working at the same speed? (a) 5 days (b) 13 days (c) 6 days (d) 7 days
16. 16.₹42 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹21 (b) ₹18 (c) ₹24 (d) ₹6
17. 17.₹473 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹43 (b) ₹301 (c) ₹215 (d) ₹258
18. 18.If 4 pens cost ₹36, how much do 5 pens cost? (a) ₹180 (b) ₹54 (c) ₹45 (d) ₹37
19. 19.If 2 kites cost ₹18, how much do 9 kites cost? (a) ₹90 (b) ₹25 (c) ₹162 (d) ₹81
20. 20.6 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 6 days (b) 4 days (c) 7 days (d) 5 days
21. 21.₹308 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹28 (b) ₹56 (c) ₹252 (d) ₹154
22. 22.If 7 notebooks cost ₹168, how much do 8 notebooks cost? (a) ₹192 (b) ₹1344 (c) ₹169 (d) ₹216
23. 23.If 5 kites cost ₹100, how much do 12 kites cost? (a) ₹107 (b) ₹240 (c) ₹260 (d) ₹1200
24. 24.If 4 kites cost ₹64, how much do 11 kites cost? (a) ₹176 (b) ₹71 (c) ₹192 (d) ₹704
25. 25.If 8 pens cost ₹120, how much do 11 pens cost? (a) ₹180 (b) ₹123 (c) ₹165 (d) ₹1320
26. 26.If 5 kites cost ₹30, how much do 9 kites cost? (a) ₹270 (b) ₹34 (c) ₹54 (d) ₹60
27. 27.If 5 mangoes cost ₹20, how much do 3 mangoes cost? (a) ₹18 (b) ₹16 (c) ₹12 (d) ₹60
28. 28.If 8 mangoes cost ₹64, how much do 12 mangoes cost? (a) ₹96 (b) ₹104 (c) ₹768 (d) ₹68
29. 29.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 2 days (b) 4 days (c) 7 days (d) 3 days
30. 30.If 5 pens cost ₹65, how much do 4 pens cost? (a) ₹65 (b) ₹52 (c) ₹64 (d) ₹260
31. 31.₹60 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹12 (b) ₹30 (c) ₹36 (d) ₹24
32. 32.6 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 5 days (b) 7 days (c) 12 days (d) 6 days
33. 33.If 4 kites cost ₹56, how much do 10 kites cost? (a) ₹140 (b) ₹560 (c) ₹154 (d) ₹62
34. 34.4 workers can build a wall in 10 days. How many days will 8 workers take, working at the same speed? (a) 14 days (b) 6 days (c) 5 days (d) 20 days
35. 35.3 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 3 days (b) 5 days (c) 7 days (d) 6 days
36. 36.If 2 pens cost ₹36, how much do 12 pens cost? (a) ₹432 (b) ₹216 (c) ₹234 (d) ₹46
37. 37.If 8 notebooks cost ₹200, how much do 7 notebooks cost? (a) ₹175 (b) ₹1400 (c) ₹200 (d) ₹199
38. 38.If 3 notebooks cost ₹51, how much do 10 notebooks cost? (a) ₹170 (b) ₹58 (c) ₹187 (d) ₹510
39. 39.If 9 mangoes cost ₹27, how much do 5 mangoes cost? (a) ₹23 (b) ₹18 (c) ₹15 (d) ₹135
40. 40.If 2 notebooks cost ₹24, how much do 11 notebooks cost? (a) ₹264 (b) ₹132 (c) ₹144 (d) ₹33

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