Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 58 · 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: 2/5 or 2/7? (a) 2/5 (b) 2/7 (c) They are equal
2. 2.If x/4 + 8 = 11, what is x? (a) 76 (b) 3 (c) 36 (d) 12
3. 3.₹6500 is invested at 3% per year simple interest. What is the amount after 3 years? (a) ₹585 (b) ₹7085 (c) ₹7280 (d) ₹6695
4. 4.A shopkeeper buys a toy for ₹940 and sells it for ₹799. What is his loss percent? (a) 16% (b) 10% (c) 15% (d) 20%
5. 5.Every pair follows the same rule: 2 : 3, 7 : 13, 8 : 15. What is 9 : ? (a) 16 (b) 18 (c) 10 (d) 17
6. 6.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 69 (b) 67 (c) 35 (d) 37
7. 7.Which fraction is greater: 1/4 or 1/6? (a) 1/4 (b) 1/6 (c) They are equal
8. 8.Today is Monday. What day of the week will it be after 12 days? (a) Friday (b) Monday (c) Saturday (d) Sunday
9. 9.Every pair follows the same rule: 3 : 21, 6 : 42, 7 : 49. What is 9 : ? (a) 64 (b) 62 (c) 27 (d) 63
10. 10.Every pair follows the same rule: 2 : 4, 4 : 16, 5 : 25. What is 8 : ? (a) 10 (b) 16 (c) 52 (d) 64
11. 11.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 96 (b) 20 (c) 24 (d) 48
12. 12.₹104 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹8 (b) ₹40 (c) ₹64 (d) ₹52
13. 13.Every pair follows the same rule: 4 : 11, 5 : 12, 9 : 16. What is 8 : ? (a) 14 (b) 17 (c) 16 (d) 15
14. 14.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 12 cm (c) 8 cm (d) 16 cm
15. 15.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 20 sq cm (d) 121 sq cm
16. 16.₹99 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹63 (b) ₹54 (c) ₹45 (d) ₹9
17. 17.If 5x + 21 = 61, what is x? (a) 40 (b) 7 (c) 8 (d) 9
18. 18.What is the value of the digit 3 in 96.325? (a) 3 (b) 0.3 (c) 0.003 (d) 0.03
19. 19.Every pair follows the same rule: 2 : 11, 4 : 13, 9 : 18. What is 7 : ? (a) 16 (b) 15 (c) 17 (d) 18
20. 20.Every pair follows the same rule: 7 : 28, 8 : 32, 9 : 36. What is 6 : ? (a) 23 (b) 25 (c) 27 (d) 24
21. 21.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 18 sq cm (b) 80 sq cm (c) 36 sq cm (d) 90 sq cm
22. 22.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 22 (b) 8 (c) 29 (d) 43
23. 23.6.65 + 8.2 = ? (a) 7.47 (b) 14.75 (c) 14.85 (d) 14.95
24. 24.What is the average of all the whole numbers from 46 to 66? (a) 56 (b) 10 (c) 57 (d) 20
25. 25.2.01 + 7.6 = ? (a) 9.61 (b) 9.51 (c) 9.71 (d) 2.77
26. 26.Which of these numbers is divisible by 11? (a) 2097 (b) 2090 (c) 2108 (d) 2082
27. 27.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) 4 min (b) 336 min (c) 40 min (d) 84 min
28. 28.A teacher has 48 pencils and 54 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 48 (c) 432 (d) 6
29. 29.3.82 + 1.9 = ? (a) 5.72 (b) 4.01 (c) 5.82 (d) 5.62
30. 30.Two ribbons are 50 cm and 80 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) 50 cm (c) 30 cm (d) 10 cm
31. 31.What is 1/3 of 33? (a) 22 (b) 10 (c) 11 (d) 12
32. 32.What is the units digit of 2^15? (a) 8 (b) 4 (c) 2 (d) 6
33. 33.The simple interest on ₹3500 for 2 years is ₹210. What is the rate per year? (a) 2% (b) 6% (c) 3% (d) 4%
34. 34.6/8 + 1/2 = ? (a) 7/10 (b) 11/8 (c) 9/8 (d) 5/4
35. 35.1/2 + 1/2 = ? (a) 1/2 (b) 1 (c) 3/2 (d) 2
36. 36.Which fraction is greater: 1/11 or 2/3? (a) They are equal (b) 1/11 (c) 2/3
37. 37.Which is the smallest: 0.24, 0.015, 0.198, 0.2? (a) 0.24 (b) 0.015 (c) 0.198 (d) 0.2
38. 38.What is the average of 42, 35, 53 and 70? (a) 52 (b) 49 (c) 51 (d) 50
39. 39.Which of these numbers is divisible by 3? (a) 1255 (b) 1257 (c) 1262 (d) 1259
40. 40.What is the units digit of 7^21? (a) 7 (b) 1 (c) 3 (d) 9

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