Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 174 · 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 9 mangoes cost ₹189, how much do 7 mangoes cost? (a) ₹168 (b) ₹187 (c) ₹147 (d) ₹1323
2. 2.What is the value of the digit 7 in 73.498? (a) 0.7 (b) 0.07 (c) 7 (d) 70
3. 3.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 58? (a) 64 (b) 76 (c) 58 (d) 24
4. 4.The simple interest on ₹1000 for 3 years is ₹90. What is the rate per year? (a) 4% (b) 2% (c) 9% (d) 3%
5. 5.Every pair follows the same rule: 4 : 16, 6 : 24, 8 : 32. What is 7 : ? (a) 29 (b) 27 (c) 19 (d) 28
6. 6.If 2x + 9 = 17, what is x? (a) 4 (b) 8 (c) 5 (d) 13
7. 7.If x/2 + 4 = 11, what is x? (a) 30 (b) 18 (c) 7 (d) 14
8. 8.A shopkeeper buys a toy for ₹720 and sells it for ₹576. What is his loss percent? (a) 20% (b) 25% (c) 21% (d) 15%
9. 9.Which is the smallest: 0.64, 0.524, 0.089, 0.6? (a) 0.64 (b) 0.524 (c) 0.089 (d) 0.6
10. 10.₹6500 is invested at 5% per year simple interest. What is the amount after 4 years? (a) ₹7800 (b) ₹6825 (c) ₹8125 (d) ₹1300
11. 11.Today is Monday. What day of the week will it be after 40 days? (a) Friday (b) Sunday (c) Saturday (d) Monday
12. 12.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 31 cm (b) 36 cm (c) 18 cm (d) 65 cm
13. 13.What is the average of all the whole numbers from 58 to 64? (a) 6 (b) 62 (c) 3 (d) 61
14. 14.If 13 August is a Friday, what day of the week is 25 August? (a) Tuesday (b) Thursday (c) Friday (d) Wednesday
15. 15.What is 20% of 980? (a) 392 (b) 196 (c) 1960 (d) 784
16. 16.Every pair follows the same rule: 2 : 9, 4 : 13, 5 : 15. What is 6 : ? (a) 16 (b) 18 (c) 17 (d) 13
17. 17.What is the smallest number you must add to 460 to make it divisible by 7? (a) 2 (b) 3 (c) 5 (d) 1
18. 18.₹3000 is invested at 11% per year simple interest. What is the amount after 5 years? (a) ₹1650 (b) ₹3330 (c) ₹4980 (d) ₹4650
19. 19.4.99 + 1.2 = ? (a) 6.19 (b) 6.29 (c) 6.09 (d) 5.11
20. 20.Which is the smallest: 0.023, 0.36, 0.218, 0.3? (a) 0.023 (b) 0.36 (c) 0.218 (d) 0.3
21. 21.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 16 cm (c) 20 cm (d) 10 cm
22. 22.₹70 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹7 (b) ₹35 (c) ₹21 (d) ₹49
23. 23.Every pair follows the same rule: 4 : 18, 5 : 27, 6 : 38. What is 9 : ? (a) 71 (b) 23 (c) 83 (d) 84
24. 24.What is the value of the digit 6 in 34.672? (a) 0.006 (b) 6 (c) 0.6 (d) 0.06
25. 25.If 7 July is a Monday, what day of the week is 18 July? (a) Saturday (b) Friday (c) Sunday (d) Thursday
26. 26.Every pair follows the same rule: 3 : 21, 6 : 42, 7 : 49. What is 8 : ? (a) 57 (b) 55 (c) 56 (d) 26
27. 27.What is the remainder when 826 is divided by 11? (a) 2 (b) 0 (c) 10 (d) 1
28. 28.Every pair follows the same rule: 2 : 1, 3 : 6, 9 : 78. What is 7 : ? (a) 47 (b) 46 (c) 54 (d) 45
29. 29.If 6x + 2 = 86, what is x? (a) 15 (b) 13 (c) 84 (d) 14
30. 30.If 5 October is a Wednesday, what day of the week is 17 October? (a) Tuesday (b) Wednesday (c) Sunday (d) Monday
31. 31.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 24 (b) 10 (c) 12 (d) 13
32. 32.1.84 + 7.8 = ? (a) 9.74 (b) 9.54 (c) 9.64 (d) 2.62
33. 33.6/7 + 2/3 = ? (a) 31/21 (b) 11/7 (c) 32/21 (d) 4/5
34. 34.A shopkeeper buys a toy for ₹520 and sells it for ₹598. What is his profit percent? (a) 20% (b) 78% (c) 15% (d) 10%
35. 35.What is 5/9 of 108? (a) 12 (b) 60 (c) 48 (d) 72
36. 36.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 121 sq cm (d) 20 sq cm
37. 37.If 6 July is a Tuesday, what day of the week is 22 July? (a) Thursday (b) Saturday (c) Friday (d) Wednesday
38. 38.3.16 + 1.2 = ? (a) 4.46 (b) 3.28 (c) 4.36 (d) 4.26
39. 39.If 13 July is a Saturday, what day of the week is 26 July? (a) Saturday (b) Thursday (c) Sunday (d) Friday
40. 40.Which of these numbers is divisible by 6? (a) 3451 (b) 3449 (c) 3444 (d) 3443

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