Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 32 · 40 questions

How to solve it (Spot the topic first): Read the question and name the topic: HCF/LCM, fractions, calendar, ratio, percentage, interest, average, equation or number theory. Use that lesson’s method; write small working on rough paper. Look at the options: rule out answers that are too big, too small or the wrong kind. Check your answer by working backwards when you can.

1. 1.Today is Monday. What day of the week will it be after 54 days? (a) Sunday (b) Saturday (c) Friday (d) Monday
2. 2.₹200 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹100 (b) ₹200 (c) ₹160 (d) ₹40
3. 3.If 2 October is a Monday, what day of the week is 18 October? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
4. 4.Today is Tuesday. What day of the week will it be after 20 days? (a) Monday (b) Wednesday (c) Tuesday (d) Sunday
5. 5.4 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 3 days (b) 4 days (c) 6 days (d) 5 days
6. 6.What is the simple interest on ₹7000 at 5% per year for 3 years? (a) ₹1400 (b) ₹1050 (c) ₹350 (d) ₹8050
7. 7.7/9 + 2/3 = ? (a) 4/3 (b) 3/4 (c) 14/9 (d) 13/9
8. 8.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
9. 9.What is the simple interest on ₹5500 at 10% per year for 2 years? (a) ₹550 (b) ₹6600 (c) ₹1650 (d) ₹1100
10. 10.If 7 March is a Friday, what day of the week is 23 March? (a) Sunday (b) Monday (c) Saturday (d) Tuesday
11. 11.What is the average of all the whole numbers from 60 to 90? (a) 30 (b) 76 (c) 15 (d) 75
12. 12.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 120 min (c) 60 min (d) 22 min
13. 13.A bag marked ₹1840 is sold at a 50% discount. What is its selling price? (a) ₹1790 (b) ₹920 (c) ₹921 (d) ₹2760
14. 14.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 20 sq cm (c) 10 sq cm (d) 21 sq cm
15. 15.If 11 October is a Tuesday, what day of the week is 22 October? (a) Sunday (b) Friday (c) Monday (d) Saturday
16. 16.What is the simple interest on ₹5000 at 3% per year for 4 years? (a) ₹5600 (b) ₹600 (c) ₹750 (d) ₹150
17. 17.Every pair follows the same rule: 7 : 15, 8 : 16, 9 : 17. What is 2 : ? (a) 12 (b) 10 (c) 9 (d) 11
18. 18.Every pair follows the same rule: 2 : 8, 7 : 28, 9 : 36. What is 6 : ? (a) 25 (b) 24 (c) 23 (d) 12
19. 19.Two ribbons are 15 cm and 27 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 3 cm (c) 15 cm (d) 1 cm
20. 20.If 3x − 9 = 3, what is x? (a) 3 (b) 12 (c) 5 (d) 4
21. 21.What is 15% of 820? (a) 123 (b) 246 (c) 1230 (d) 697
22. 22.What is the remainder when 700 is divided by 12? (a) 8 (b) 4 (c) 3 (d) 5
23. 23.Every pair follows the same rule: 2 : 1, 5 : 22, 8 : 61. What is 9 : ? (a) 78 (b) 77 (c) 79 (d) 74
24. 24.Which is the greatest: 0.026, 0.7, 0.661, 0.77? (a) 0.026 (b) 0.7 (c) 0.661 (d) 0.77
25. 25.9.31 + 2.3 = ? (a) 11.71 (b) 9.54 (c) 11.51 (d) 11.61
26. 26.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 16 cm
27. 27.Two bells ring every 24 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 120 min (c) 720 min (d) 54 min
28. 28.Today is Thursday. What day of the week will it be after 94 days? (a) Tuesday (b) Saturday (c) Monday (d) Sunday
29. 29.₹24 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹12 (b) ₹8 (c) ₹24 (d) ₹16
30. 30.If 12 March is a Wednesday, what day of the week is 26 March? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
31. 31.A shopkeeper buys a toy for ₹520 and sells it for ₹312. What is his loss percent? (a) 41% (b) 35% (c) 40% (d) 45%
32. 32.If 15 March is a Sunday, what day of the week is 19 April? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
33. 33.4/6 + 6/8 = ? (a) 5/7 (b) 17/12 (c) 35/24 (d) 11/8
34. 34.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 34 sq cm (c) 17 sq cm (d) 72 sq cm
35. 35.If 6x − 9 = 3, what is x? (a) 3 (b) 2 (c) 12 (d) 1
36. 36.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 3 cm (c) 28 cm (d) 4 cm
37. 37.What is the smallest number of sweets that can be shared equally among 15 children or among 25 children, with none left over? (a) 375 (b) 150 (c) 40 (d) 75
38. 38.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 216 sq cm (b) 234 sq cm (c) 60 sq cm (d) 30 sq cm
39. 39.A bag marked ₹1880 is sold at a 10% discount. What is its selling price? (a) ₹1692 (b) ₹1870 (c) ₹2068 (d) ₹188
40. 40.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 198 sq cm (d) 180 sq cm

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