Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 890 · 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. 1.6 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 10 days (b) 16 days (c) 27 days (d) 26 days
2. 2.If 8 kites cost ₹40, how much do 7 kites cost? (a) ₹39 (b) ₹40 (c) ₹35 (d) ₹280
3. 3.If 3 pens cost ₹69, how much do 11 pens cost? (a) ₹759 (b) ₹253 (c) ₹77 (d) ₹276
4. 4.₹100 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹75 (b) ₹50 (c) ₹25 (d) ₹100
5. 5.If 7 pens cost ₹35, how much do 3 pens cost? (a) ₹20 (b) ₹105 (c) ₹15 (d) ₹31
6. 6.If 4 mangoes cost ₹76, how much do 8 mangoes cost? (a) ₹171 (b) ₹608 (c) ₹152 (d) ₹80
7. 7.₹378 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹189 (b) ₹243 (c) ₹135 (d) ₹27
8. 8.4 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 4 days (b) 5 days (c) 3 days (d) 18 days
9. 9.If 8 pens cost ₹72, how much do 7 pens cost? (a) ₹71 (b) ₹504 (c) ₹72 (d) ₹63
10. 10.If 2 mangoes cost ₹48, how much do 6 mangoes cost? (a) ₹52 (b) ₹168 (c) ₹288 (d) ₹144
11. 11.If 3 notebooks cost ₹48, how much do 7 notebooks cost? (a) ₹112 (b) ₹336 (c) ₹128 (d) ₹52
12. 12.₹153 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹68 (b) ₹85 (c) ₹17 (d) ₹102
13. 13.₹32 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹16 (b) ₹24 (c) ₹8 (d) ₹32
14. 14.5 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 20 days (b) 11 days (c) 21 days (d) 5 days
15. 15.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 9 days (b) 25 days (c) 17 days (d) 13 days
16. 16.If 4 pens cost ₹92, how much do 11 pens cost? (a) ₹99 (b) ₹253 (c) ₹1012 (d) ₹276
17. 17.If 6 notebooks cost ₹96, how much do 12 notebooks cost? (a) ₹208 (b) ₹1152 (c) ₹192 (d) ₹102
18. 18.If 7 pens cost ₹105, how much do 5 pens cost? (a) ₹103 (b) ₹75 (c) ₹90 (d) ₹525
19. 19.If 5 notebooks cost ₹55, how much do 2 notebooks cost? (a) ₹33 (b) ₹110 (c) ₹52 (d) ₹22
20. 20.₹35 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹7 (b) ₹35 (c) ₹29 (d) ₹28
21. 21.If 8 mangoes cost ₹152, how much do 2 mangoes cost? (a) ₹38 (b) ₹57 (c) ₹304 (d) ₹146
22. 22.If 4 pens cost ₹20, how much do 9 pens cost? (a) ₹180 (b) ₹45 (c) ₹50 (d) ₹25
23. 23.5 workers can build a wall in 6 days. How many days will 10 workers take, working at the same speed? (a) 1 day (b) 12 days (c) 3 days (d) 11 days
24. 24.8 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 8 days (b) 20 days (c) 56 days (d) 57 days
25. 25.7 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
26. 26.3 workers can build a wall in 6 days. How many days will 9 workers take, working at the same speed? (a) 3 days (b) 12 days (c) 2 days (d) 18 days
27. 27.4 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 11 days (b) 8 days (c) 17 days (d) 9 days
28. 28.₹300 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹300 (b) ₹30 (c) ₹270 (d) ₹150
29. 29.₹611 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹376 (b) ₹423 (c) ₹235 (d) ₹47
30. 30.If 3 notebooks cost ₹66, how much do 4 notebooks cost? (a) ₹264 (b) ₹67 (c) ₹88 (d) ₹110
31. 31.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 11 days (b) 2 days (c) 3 days (d) 4 days
32. 32.6 workers can build a wall in 15 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 19 days (c) 45 days (d) 5 days
33. 33.₹320 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹160 (b) ₹280 (c) ₹320 (d) ₹40
34. 34.₹48 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹48 (b) ₹6 (c) ₹24 (d) ₹42
35. 35.If 8 notebooks cost ₹160, how much do 9 notebooks cost? (a) ₹200 (b) ₹180 (c) ₹161 (d) ₹1440
36. 36.₹273 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹105 (b) ₹21 (c) ₹189 (d) ₹168
37. 37.₹342 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹171 (b) ₹38 (c) ₹190 (d) ₹152
38. 38.8 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 17 days (b) 12 days (c) 4 days (d) 16 days
39. 39.If 7 notebooks cost ₹91, how much do 8 notebooks cost? (a) ₹728 (b) ₹117 (c) ₹104 (d) ₹92
40. 40.₹160 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹16 (b) ₹80 (c) ₹48 (d) ₹112

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