Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 205 · 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.Which fraction is greater: 1/5 or 1/6? (a) 1/5 (b) 1/6 (c) They are equal
2. 2.The simple interest on ₹6000 for 2 years is ₹1200. What is the rate per year? (a) 9% (b) 11% (c) 10% (d) 20%
3. 3.If 4 notebooks cost ₹88, how much do 8 notebooks cost? (a) ₹198 (b) ₹92 (c) ₹176 (d) ₹704
4. 4.Two bells ring every 12 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 336 min (b) 40 min (c) 84 min (d) 4 min
5. 5.Which fraction is greater: 1/12 or 2/5? (a) They are equal (b) 1/12 (c) 2/5
6. 6.What is the average of 38, 14, 39 and 17? (a) 27 (b) 36 (c) 26 (d) 28
7. 7.₹2500 is invested at 8% per year simple interest. What is the amount after 4 years? (a) ₹3500 (b) ₹800 (c) ₹2700 (d) ₹3300
8. 8.Two ribbons are 6 cm and 15 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 3 cm (c) 9 cm (d) 1 cm
9. 9.If 8 kites cost ₹120, how much do 2 kites cost? (a) ₹30 (b) ₹240 (c) ₹45 (d) ₹114
10. 10.₹4500 is invested at 4% per year simple interest. What is the amount after 4 years? (a) ₹5400 (b) ₹720 (c) ₹4680 (d) ₹5220
11. 11.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 99 (c) 72 (d) 43
12. 12.If 7x − 15 = 27, what is x? (a) 7 (b) 42 (c) 6 (d) 5
13. 13.Two ribbons are 32 cm and 40 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 32 cm (c) 8 cm (d) 160 cm
14. 14.Two bells ring every 16 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 44 min (b) 112 min (c) 4 min (d) 448 min
15. 15.Every pair follows the same rule: 4 : 11, 8 : 19, 9 : 21. What is 7 : ? (a) 18 (b) 17 (c) 16 (d) 14
16. 16.Every pair follows the same rule: 2 : 15, 3 : 18, 5 : 24. What is 8 : ? (a) 32 (b) 21 (c) 34 (d) 33
17. 17.Every pair follows the same rule: 6 : 23, 7 : 24, 8 : 25. What is 2 : ? (a) 21 (b) 18 (c) 20 (d) 19
18. 18.4/9 + 2/4 = ? (a) 11/12 (b) 6/13 (c) 35/36 (d) 17/18
19. 19.What is the value of the digit 8 in 89.541? (a) 0.8 (b) 80 (c) 8 (d) 0.08
20. 20.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 25 cm (b) 150 cm (c) 40 cm (d) 50 cm
21. 21.If x/2 + 14 = 24, what is x? (a) 76 (b) 10 (c) 20 (d) 34
22. 22.What is the simple interest on ₹1000 at 11% per year for 5 years? (a) ₹110 (b) ₹1550 (c) ₹550 (d) ₹660
23. 23.What is 1/4 of 8? (a) 3 (b) 6 (c) 2 (d) 4
24. 24.Every pair follows the same rule: 3 : 5, 7 : 21, 9 : 29. What is 5 : ? (a) 12 (b) 7 (c) 13 (d) 14
25. 25.What is the simple interest on ₹5500 at 12% per year for 3 years? (a) ₹7480 (b) ₹1980 (c) ₹2640 (d) ₹660
26. 26.A shopkeeper buys a toy for ₹900 and sells it for ₹945. What is his profit percent? (a) 45% (b) 10% (c) 6% (d) 5%
27. 27.What is the remainder when 157 is divided by 3? (a) 0 (b) 2 (c) 1
28. 28.Every pair follows the same rule: 3 : 9, 4 : 16, 6 : 36. What is 7 : ? (a) 46 (b) 21 (c) 49 (d) 13
29. 29.What is the average of all the whole numbers from 20 to 60? (a) 41 (b) 40 (c) 39 (d) 20
30. 30.If 6x + 7 = 19, what is x? (a) 1 (b) 2 (c) 12 (d) 3
31. 31.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 48 min (c) 14 min (d) 24 min
32. 32.Every pair follows the same rule: 3 : 8, 5 : 24, 7 : 48. What is 2 : ? (a) 4 (b) 3 (c) 2 (d) 7
33. 33.9 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 40 days (b) 19 days (c) 7 days (d) 39 days
34. 34.8.89 + 8.4 = ? (a) 17.39 (b) 9.73 (c) 17.19 (d) 17.29
35. 35.A shopkeeper buys a toy for ₹300 and sells it for ₹360. What is his profit percent? (a) 20% (b) 60% (c) 15% (d) 25%
36. 36.What is the smallest number of sweets that can be shared equally among 12 children or among 15 children, with none left over? (a) 27 (b) 120 (c) 60 (d) 180
37. 37.What is 1/2 of 10? (a) 5 (b) 10 (c) 6 (d) 4
38. 38.₹135 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹60 (b) ₹15 (c) ₹90 (d) ₹75
39. 39.If 27 April is a Saturday, what day of the week is 14 May? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
40. 40.What is the simple interest on ₹6000 at 6% per year for 4 years? (a) ₹1800 (b) ₹360 (c) ₹1440 (d) ₹7440

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