Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 139 · 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.₹90 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹27 (b) ₹45 (c) ₹9 (d) ₹63
2. 2.If 3 December is a Sunday, what day of the week is 19 December? (a) Thursday (b) Wednesday (c) Tuesday (d) Monday
3. 3.A shopkeeper buys a toy for ₹640 and sells it for ₹512. What is his loss percent? (a) 15% (b) 21% (c) 25% (d) 20%
4. 4.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 55 (b) 27 (c) 21 (d) 22
5. 5.A shopkeeper buys a toy for ₹360 and sells it for ₹252. What is his loss percent? (a) 35% (b) 31% (c) 30% (d) 25%
6. 6.Every pair follows the same rule: 4 : 16, 6 : 36, 7 : 49. What is 2 : ? (a) 8 (b) 4 (c) 5 (d) 14
7. 7.If 2x − 7 = 3, what is x? (a) 4 (b) 10 (c) 6 (d) 5
8. 8.₹4000 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹4840 (b) ₹4560 (c) ₹560 (d) ₹4280
9. 9.What is 15% of 620? (a) 527 (b) 186 (c) 93 (d) 930
10. 10.If 8x + 12 = x + 89, what is x? (a) 12 (b) 11 (c) 10 (d) 13
11. 11.What is the value of the digit 2 in 61.827? (a) 0.002 (b) 0.2 (c) 0.02 (d) 2
12. 12.A teacher has 77 pencils and 88 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 11 (b) 77 (c) 1 (d) 616
13. 13.What is the simple interest on ₹3500 at 9% per year for 5 years? (a) ₹5075 (b) ₹315 (c) ₹1890 (d) ₹1575
14. 14.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 20 (b) 58 (c) 74 (d) 56
15. 15.Every pair follows the same rule: 4 : 19, 5 : 23, 9 : 39. What is 3 : ? (a) 14 (b) 18 (c) 16 (d) 15
16. 16.A teacher has 35 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 280 (b) 5 (c) 1 (d) 35
17. 17.Two bells ring every 25 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 55 min (b) 750 min (c) 5 min (d) 150 min
18. 18.Which fraction is greater: 1/4 or 9/11? (a) 1/4 (b) 9/11 (c) They are equal
19. 19.What is 1/3 of 6? (a) 4 (b) 3 (c) 1 (d) 2
20. 20.Every pair follows the same rule: 2 : 15, 3 : 16, 7 : 20. What is 8 : ? (a) 23 (b) 22 (c) 20 (d) 21
21. 21.Which fraction is greater: 2/3 or 8/11? (a) They are equal (b) 8/11 (c) 2/3
22. 22.A bag marked ₹1780 is sold at a 20% discount. What is its selling price? (a) ₹1760 (b) ₹356 (c) ₹1424 (d) ₹2136
23. 23.5.61 + 1.1 = ? (a) 6.81 (b) 6.71 (c) 5.72 (d) 6.61
24. 24.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 247 sq cm (b) 228 sq cm (c) 31 sq cm (d) 62 sq cm
25. 25.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 18 sq cm (d) 27 sq cm
26. 26.What is the average of all the whole numbers from 38 to 76? (a) 58 (b) 57 (c) 19 (d) 38
27. 27.If 15 March is a Sunday, what day of the week is 27 March? (a) Thursday (b) Saturday (c) Sunday (d) Friday
28. 28.Today is Sunday. What day of the week will it be after 71 days? (a) Monday (b) Wednesday (c) Sunday (d) Tuesday
29. 29.What is the units digit of 4^31? (a) 5 (b) 3 (c) 6 (d) 4
30. 30.Which fraction is greater: 2/3 or 3/4? (a) 3/4 (b) 2/3 (c) They are equal
31. 31.What is the smallest number of sweets that can be shared equally among 6 children or among 8 children, with none left over? (a) 48 (b) 14 (c) 25 (d) 24
32. 32.A teacher has 40 pencils and 90 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 10 (c) 40 (d) 50
33. 33.A shopkeeper buys a toy for ₹120 and sells it for ₹102. What is his loss percent? (a) 15% (b) 18% (c) 10% (d) 20%
34. 34.What is the average of all the whole numbers from 39 to 47? (a) 4 (b) 8 (c) 44 (d) 43
35. 35.Every pair follows the same rule: 3 : 13, 4 : 16, 8 : 28. What is 5 : ? (a) 20 (b) 18 (c) 15 (d) 19
36. 36.₹187 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹153 (b) ₹136 (c) ₹17 (d) ₹51
37. 37.What is the average of all the whole numbers from 34 to 48? (a) 7 (b) 41 (c) 14 (d) 42
38. 38.What is the average of 39, 31, 35, 35, 29 and 65? (a) 38 (b) 39 (c) 40 (d) 41
39. 39.What is 3/4 of 40? (a) 31 (b) 40 (c) 30 (d) 10
40. 40.Every pair follows the same rule: 3 : 13, 4 : 20, 7 : 53. What is 5 : ? (a) 30 (b) 29 (c) 15 (d) 31

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