Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 438 · 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.₹7000 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹7140 (b) ₹7420 (c) ₹7280 (d) ₹280
2. 2.Which of these numbers is divisible by 3? (a) 173 (b) 170 (c) 175 (d) 171
3. 3.What is 15% of 380? (a) 570 (b) 114 (c) 323 (d) 57
4. 4.1.28 + 4.9 = ? (a) 6.18 (b) 1.77 (c) 6.08 (d) 6.28
5. 5.What is the simple interest on ₹9500 at 2% per year for 5 years? (a) ₹10450 (b) ₹950 (c) ₹1140 (d) ₹190
6. 6.8.43 + 2.6 = ? (a) 8.69 (b) 11.13 (c) 10.93 (d) 11.03
7. 7.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 187 sq cm (b) 27 sq cm (c) 54 sq cm (d) 170 sq cm
8. 8.What is the units digit of 2^48? (a) 4 (b) 6 (c) 2 (d) 8
9. 9.If 1 May is a Tuesday, what day of the week is 15 May? (a) Wednesday (b) Tuesday (c) Monday (d) Thursday
10. 10.The simple interest on ₹8500 for 4 years is ₹3740. What is the rate per year? (a) 11% (b) 12% (c) 10% (d) 44%
11. 11.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 78 (c) 54 (d) 30
12. 12.If x/2 + 9 = 14, what is x? (a) 19 (b) 5 (c) 10 (d) 46
13. 13.A shopkeeper buys a toy for ₹840 and sells it for ₹1176. What is his profit percent? (a) 41% (b) 45% (c) 40% (d) 35%
14. 14.7 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 22 days (b) 9 days (c) 15 days (d) 21 days
15. 15.Two ribbons are 20 cm and 25 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 100 cm (b) 1 cm (c) 5 cm (d) 20 cm
16. 16.What is the average of all the whole numbers from 51 to 57? (a) 3 (b) 55 (c) 6 (d) 54
17. 17.Every pair follows the same rule: 6 : 36, 7 : 49, 8 : 64. What is 9 : ? (a) 81 (b) 54 (c) 39 (d) 79
18. 18.9.29 + 1.7 = ? (a) 9.46 (b) 10.89 (c) 10.99 (d) 11.09
19. 19.What is 40% of 300? (a) 120 (b) 180 (c) 1200 (d) 240
20. 20.If 6x + 7 = 5x + 13, what is x? (a) 8 (b) 6 (c) 20 (d) 7
21. 21.Two ribbons are 24 cm and 42 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 6 cm (c) 18 cm (d) 24 cm
22. 22.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 30 sq cm (d) 256 sq cm
23. 23.Every pair follows the same rule: 4 : 5, 7 : 11, 9 : 15. What is 3 : ? (a) 5 (b) 2 (c) 3 (d) 4
24. 24.If 31 January is a Tuesday, what day of the week is 19 February? (a) Tuesday (b) Saturday (c) Monday (d) Sunday
25. 25.If x/3 + 10 = 13, what is x? (a) 9 (b) 3 (c) 29 (d) 69
26. 26.3.17 + 3.6 = ? (a) 6.67 (b) 6.87 (c) 3.53 (d) 6.77
27. 27.What is the smallest number of sweets that can be shared equally among 18 children or among 24 children, with none left over? (a) 72 (b) 432 (c) 42 (d) 144
28. 28.Today is Saturday. What day of the week will it be after 49 days? (a) Friday (b) Saturday (c) Sunday (d) Monday
29. 29.What is the average of 64, 52, 60, 63 and 36? (a) 55 (b) 57 (c) 56 (d) 54
30. 30.If 7 January is a Wednesday, what day of the week is 15 January? (a) Thursday (b) Wednesday (c) Friday (d) Saturday
31. 31.The simple interest on ₹8500 for 3 years is ₹2550. What is the rate per year? (a) 11% (b) 30% (c) 10% (d) 9%
32. 32.Every pair follows the same rule: 2 : 5, 3 : 6, 9 : 12. What is 6 : ? (a) 8 (b) 10 (c) 11 (d) 9
33. 33.If 9 kites cost ₹135, how much do 8 kites cost? (a) ₹135 (b) ₹120 (c) ₹134 (d) ₹1080
34. 34.Every pair follows the same rule: 1 : 1, 2 : 8, 6 : 216. What is 3 : ? (a) 3 (b) 27 (c) 60 (d) 28
35. 35.Every pair follows the same rule: 3 : 8, 6 : 17, 7 : 20. What is 2 : ? (a) 6 (b) 4 (c) 7 (d) 5
36. 36.A bag marked ₹1780 is sold at a 40% discount. What is its selling price? (a) ₹1740 (b) ₹712 (c) ₹1068 (d) ₹2492
37. 37.Which is the greatest: 0.424, 0.064, 0.52, 0.5? (a) 0.424 (b) 0.064 (c) 0.52 (d) 0.5
38. 38.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 10 cm (c) 112 cm (d) 18 cm
39. 39.Which fraction is greater: 2/5 or 1/4? (a) 1/4 (b) They are equal (c) 2/5
40. 40.If 3x − 9 = 6, what is x? (a) 15 (b) 6 (c) 4 (d) 5

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