Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 818 · 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 8 kites cost ₹192, how much do 3 kites cost? (a) ₹187 (b) ₹72 (c) ₹96 (d) ₹576
2. 2.If 5 mangoes cost ₹60, how much do 7 mangoes cost? (a) ₹420 (b) ₹84 (c) ₹96 (d) ₹62
3. 3.If 9 mangoes cost ₹135, how much do 4 mangoes cost? (a) ₹75 (b) ₹540 (c) ₹60 (d) ₹130
4. 4.₹253 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹230 (b) ₹23 (c) ₹46 (d) ₹207
5. 5.₹644 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹46 (b) ₹322 (c) ₹414 (d) ₹230
6. 6.If 7 pens cost ₹91, how much do 2 pens cost? (a) ₹86 (b) ₹39 (c) ₹26 (d) ₹182
7. 7.₹484 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹242 (b) ₹132 (c) ₹44 (d) ₹352
8. 8.8 workers can build a wall in 15 days. How many days will 2 workers take, working at the same speed? (a) 60 days (b) 9 days (c) 61 days (d) 21 days
9. 9.8 workers can build a wall in 11 days. How many days will 4 workers take, working at the same speed? (a) 23 days (b) 22 days (c) 7 days (d) 15 days
10. 10.3 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
11. 11.4 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 5 days (b) 4 days (c) 9 days (d) 8 days
12. 12.If 5 notebooks cost ₹40, how much do 3 notebooks cost? (a) ₹38 (b) ₹32 (c) ₹120 (d) ₹24
13. 13.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 6 days (b) 4 days (c) 9 days (d) 5 days
14. 14.₹90 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹90 (b) ₹9 (c) ₹45 (d) ₹81
15. 15.If 4 notebooks cost ₹32, how much do 3 notebooks cost? (a) ₹96 (b) ₹24 (c) ₹32 (d) ₹31
16. 16.If 5 mangoes cost ₹80, how much do 3 mangoes cost? (a) ₹240 (b) ₹48 (c) ₹78 (d) ₹64
17. 17.If 7 kites cost ₹35, how much do 6 kites cost? (a) ₹210 (b) ₹35 (c) ₹30 (d) ₹34
18. 18.If 9 notebooks cost ₹117, how much do 2 notebooks cost? (a) ₹26 (b) ₹39 (c) ₹234 (d) ₹110
19. 19.7 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 9 days (b) 22 days (c) 21 days (d) 15 days
20. 20.If 4 mangoes cost ₹68, how much do 6 mangoes cost? (a) ₹70 (b) ₹119 (c) ₹408 (d) ₹102
21. 21.₹374 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹34 (b) ₹187 (c) ₹136 (d) ₹238
22. 22.₹196 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹14 (b) ₹126 (c) ₹70 (d) ₹98
23. 23.4 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 4 days (b) 5 days (c) 3 days (d) 6 days
24. 24.If 7 notebooks cost ₹77, how much do 6 notebooks cost? (a) ₹66 (b) ₹77 (c) ₹462 (d) ₹76
25. 25.₹416 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹32 (b) ₹208 (c) ₹160 (d) ₹256
26. 26.If 2 pens cost ₹24, how much do 9 pens cost? (a) ₹31 (b) ₹120 (c) ₹108 (d) ₹216
27. 27.3 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) 27 days (d) 15 days
28. 28.₹441 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹392 (b) ₹98 (c) ₹49 (d) ₹343
29. 29.7 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 36 days (b) 35 days (c) 15 days (d) 5 days
30. 30.If 6 notebooks cost ₹36, how much do 4 notebooks cost? (a) ₹30 (b) ₹34 (c) ₹144 (d) ₹24
31. 31.₹192 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹192 (b) ₹24 (c) ₹168 (d) ₹96
32. 32.₹210 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹105 (b) ₹210 (c) ₹35 (d) ₹175
33. 33.₹98 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹7 (b) ₹63 (c) ₹35 (d) ₹49
34. 34.4 workers can build a wall in 15 days. How many days will 12 workers take, working at the same speed? (a) 23 days (b) 45 days (c) 7 days (d) 5 days
35. 35.If 6 kites cost ₹138, how much do 9 kites cost? (a) ₹141 (b) ₹1242 (c) ₹207 (d) ₹230
36. 36.If 6 kites cost ₹30, how much do 3 kites cost? (a) ₹90 (b) ₹20 (c) ₹15 (d) ₹27
37. 37.If 5 kites cost ₹90, how much do 8 kites cost? (a) ₹720 (b) ₹93 (c) ₹162 (d) ₹144
38. 38.₹54 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹36 (b) ₹54 (c) ₹27 (d) ₹18
39. 39.₹54 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹27 (b) ₹42 (c) ₹6 (d) ₹12
40. 40.If 7 notebooks cost ₹21, how much do 3 notebooks cost? (a) ₹63 (b) ₹17 (c) ₹12 (d) ₹9

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