Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 495 · 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.If 5 August is a Sunday, what day of the week is 13 August? (a) Tuesday (b) Monday (c) Sunday (d) Wednesday
2. 2.What is the value of the digit 1 in 71.962? (a) 0.1 (b) 1 (c) 10 (d) 0.01
3. 3.5.85 + 8.9 = ? (a) 6.74 (b) 14.85 (c) 14.75 (d) 14.65
4. 4.Every pair follows the same rule: 3 : 7, 4 : 11, 8 : 27. What is 9 : ? (a) 13 (b) 31 (c) 32 (d) 30
5. 5.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 68 sq cm (b) 21 sq cm (c) 42 sq cm (d) 85 sq cm
6. 6.Today is Sunday. What day of the week will it be after 22 days? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
7. 7.What is the smallest number you must add to 249 to make it divisible by 4? (a) 1 (b) 3 (c) 2
8. 8.Which of these numbers is divisible by 11? (a) 4279 (b) 4272 (c) 4280 (d) 4296
9. 9.Which of these numbers is divisible by 6? (a) 436 (b) 432 (c) 429 (d) 440
10. 10.Two bells ring every 18 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 378 min (c) 39 min (d) 126 min
11. 11.Every pair follows the same rule: 3 : 11, 5 : 17, 8 : 26. What is 4 : ? (a) 13 (b) 15 (c) 14 (d) 12
12. 12.A shopkeeper buys a toy for ₹780 and sells it for ₹585. What is his loss percent? (a) 20% (b) 26% (c) 30% (d) 25%
13. 13.₹9500 is invested at 9% per year simple interest. What is the amount after 4 years? (a) ₹12920 (b) ₹10355 (c) ₹3420 (d) ₹13775
14. 14.What is the smallest number of sweets that can be shared equally among 4 children or among 14 children, with none left over? (a) 56 (b) 18 (c) 29 (d) 28
15. 15.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 49 days (c) 19 days (d) 9 days
16. 16.If 2x + 22 = 52, what is x? (a) 30 (b) 16 (c) 37 (d) 15
17. 17.₹272 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹136 (b) ₹34 (c) ₹102 (d) ₹170
18. 18.Two ribbons are 15 cm and 35 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 15 cm (c) 20 cm (d) 1 cm
19. 19.4.41 + 6.4 = ? (a) 10.91 (b) 10.81 (c) 10.71 (d) 5.05
20. 20.Two ribbons are 48 cm and 56 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 8 cm (b) 48 cm (c) 4 cm (d) 336 cm
21. 21.Which of these numbers is divisible by 11? (a) 4851 (b) 4854 (c) 4842 (d) 4864
22. 22.What is the smallest number you must add to 77 to make it divisible by 6? (a) 1 (b) 3 (c) 2 (d) 5
23. 23.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 34 (b) 30 (c) 20 (d) 46
24. 24.What is the value of the digit 1 in 81.392? (a) 0.1 (b) 1 (c) 10 (d) 0.01
25. 25.Today is Sunday. What day of the week will it be after 66 days? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
26. 26.Which is the smallest: 0.3, 0.234, 0.036, 0.38? (a) 0.3 (b) 0.234 (c) 0.036 (d) 0.38
27. 27.A shopkeeper buys a toy for ₹920 and sells it for ₹1150. What is his profit percent? (a) 25% (b) 20% (c) 30% (d) 26%
28. 28.What is the simple interest on ₹4000 at 5% per year for 5 years? (a) ₹1200 (b) ₹1000 (c) ₹200 (d) ₹5000
29. 29.What is the smallest number of sweets that can be shared equally among 8 children or among 20 children, with none left over? (a) 160 (b) 40 (c) 28 (d) 80
30. 30.₹2500 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹450 (b) ₹3175 (c) ₹2725 (d) ₹2950
31. 31.If 4x − 8 = 8, what is x? (a) 4 (b) 16 (c) 3 (d) 5
32. 32.What is the value of the digit 5 in 34.567? (a) 0.5 (b) 0.05 (c) 0.005 (d) 5
33. 33.What is the average of all the whole numbers from 39 to 49? (a) 5 (b) 10 (c) 45 (d) 44
34. 34.Which is the smallest: 0.32, 0.3, 0.048, 0.261? (a) 0.32 (b) 0.3 (c) 0.048 (d) 0.261
35. 35.Two bells ring every 10 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 250 min (b) 35 min (c) 5 min (d) 50 min
36. 36.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 46 (b) 97 (c) 32 (d) 31
37. 37.What is 5% of 880? (a) 836 (b) 44 (c) 88 (d) 440
38. 38.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 24 (b) 33 (c) 12 (d) 21
39. 39.Today is Sunday. What day of the week will it be after 95 days? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
40. 40.What is 50% of 740? (a) 370 (b) 371 (c) 3700 (d) 740

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