Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 298 · 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.₹243 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹217 (b) ₹243 (c) ₹216 (d) ₹27
2. 2.Which fraction is greater: 8/9 or 1/6? (a) 1/6 (b) 8/9 (c) They are equal
3. 3.If 5 August is a Wednesday, what day of the week is 14 August? (a) Thursday (b) Saturday (c) Sunday (d) Friday
4. 4.If 4 pens cost ₹56, how much do 5 pens cost? (a) ₹57 (b) ₹280 (c) ₹84 (d) ₹70
5. 5.What is 1/3 of 6? (a) 1 (b) 2 (c) 3 (d) 4
6. 6.1/2 + 5/8 = ? (a) 9/8 (b) 5/4 (c) 3/5 (d) 1
7. 7.Two ribbons are 30 cm and 70 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 30 cm (c) 5 cm (d) 40 cm
8. 8.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 26 min (c) 168 min (d) 84 min
9. 9.What is the smallest number of sweets that can be shared equally among 4 children or among 10 children, with none left over? (a) 40 (b) 20 (c) 21 (d) 14
10. 10.What is the smallest number of sweets that can be shared equally among 6 children or among 9 children, with none left over? (a) 18 (b) 54 (c) 15 (d) 36
11. 11.The simple interest on ₹3000 for 5 years is ₹1050. What is the rate per year? (a) 6% (b) 35% (c) 7% (d) 8%
12. 12.Which fraction is greater: 7/12 or 3/4? (a) They are equal (b) 3/4 (c) 7/12
13. 13.If 6x + 3 = 3x + 36, what is x? (a) 13 (b) 12 (c) 11 (d) 10
14. 14.Every pair follows the same rule: 2 : 4, 5 : 25, 8 : 64. What is 6 : ? (a) 36 (b) 8 (c) 12 (d) 38
15. 15.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 63 cm (d) 25 cm
16. 16.Today is Friday. What day of the week will it be after 97 days? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
17. 17.Today is Wednesday. What day of the week will it be after 31 days? (a) Saturday (b) Sunday (c) Friday (d) Monday
18. 18.What is 2/9 of 108? (a) 84 (b) 12 (c) 36 (d) 24
19. 19.If 3 kites cost ₹18, how much do 8 kites cost? (a) ₹144 (b) ₹48 (c) ₹23 (d) ₹54
20. 20.If 15 June is a Friday, what day of the week is 12 July? (a) Thursday (b) Saturday (c) Wednesday (d) Friday
21. 21.The simple interest on ₹2500 for 3 years is ₹675. What is the rate per year? (a) 10% (b) 8% (c) 27% (d) 9%
22. 22.If 4x + 30 = 78, what is x? (a) 13 (b) 48 (c) 27 (d) 12
23. 23.Which fraction is greater: 1/3 or 1/4? (a) 1/3 (b) 1/4 (c) They are equal
24. 24.Two bells ring every 15 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 105 min (b) 36 min (c) 315 min (d) 3 min
25. 25.Every pair follows the same rule: 3 : 9, 6 : 18, 7 : 21. What is 8 : ? (a) 23 (b) 14 (c) 24 (d) 25
26. 26.What is the remainder when 501 is divided by 11? (a) 8 (b) 7 (c) 6 (d) 5
27. 27.What is the simple interest on ₹4000 at 5% per year for 4 years? (a) ₹4800 (b) ₹1000 (c) ₹800 (d) ₹200
28. 28.In how many years will ₹5500 earn ₹1375 simple interest at 5% per year? (a) 6 years (b) 10 years (c) 5 years (d) 4 years
29. 29.Every pair follows the same rule: 2 : 8, 4 : 64, 6 : 216. What is 3 : ? (a) 9 (b) 27 (c) 28 (d) 12
30. 30.What is the remainder when 729 is divided by 11? (a) 8 (b) 4 (c) 3 (d) 2
31. 31.₹294 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹49 (b) ₹294 (c) ₹147 (d) ₹245
32. 32.If 6x + 10 = 3x + 31, what is x? (a) 6 (b) 9 (c) 7 (d) 8
33. 33.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 20 (b) 27 (c) 19 (d) 56
34. 34.₹1000 is invested at 10% per year simple interest. What is the amount after 5 years? (a) ₹1100 (b) ₹1500 (c) ₹500 (d) ₹1600
35. 35.If 5x + 13 = 3x + 27, what is x? (a) 9 (b) 8 (c) 7 (d) 20
36. 36.If 8x + 24 = 112, what is x? (a) 88 (b) 17 (c) 12 (d) 11
37. 37.What is the remainder when 326 is divided by 5? (a) 1 (b) 4 (c) 0 (d) 2
38. 38.If 11 December is a Wednesday, what day of the week is 22 December? (a) Saturday (b) Tuesday (c) Monday (d) Sunday
39. 39.3/5 + 2/4 = ? (a) 23/20 (b) 5/9 (c) 11/10 (d) 21/20
40. 40.₹6500 is invested at 8% per year simple interest. What is the amount after 2 years? (a) ₹7540 (b) ₹1040 (c) ₹8060 (d) ₹7020

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