Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 483 · 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 13 March is a Sunday, what day of the week is 16 April? (a) Friday (b) Saturday (c) Sunday (d) Monday
2. 2.What is 10% of 80? (a) 72 (b) 16 (c) 80 (d) 8
3. 3.Which fraction is greater: 2/3 or 3/4? (a) 3/4 (b) They are equal (c) 2/3
4. 4.What is the smallest number of sweets that can be shared equally among 12 children or among 18 children, with none left over? (a) 216 (b) 72 (c) 36 (d) 30
5. 5.If 2 March is a Sunday, what day of the week is 15 March? (a) Saturday (b) Sunday (c) Friday (d) Monday
6. 6.A shopkeeper buys a toy for ₹520 and sells it for ₹416. What is his loss percent? (a) 21% (b) 15% (c) 25% (d) 20%
7. 7.If 8x + 16 = 2x + 40, what is x? (a) 4 (b) 6 (c) 3 (d) 5
8. 8.If 25 September is a Saturday, what day of the week is 13 October? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
9. 9.Every pair follows the same rule: 4 : 16, 5 : 25, 9 : 81. What is 2 : ? (a) 8 (b) 14 (c) 5 (d) 4
10. 10.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 198 sq cm (b) 56 sq cm (c) 180 sq cm (d) 28 sq cm
11. 11.A bag marked ₹1360 is sold at a 40% discount. What is its selling price? (a) ₹1320 (b) ₹544 (c) ₹1904 (d) ₹816
12. 12.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 12 (b) 50 (c) 41 (d) 44
13. 13.Which fraction is greater: 1/5 or 3/4? (a) 1/5 (b) 3/4 (c) They are equal
14. 14.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 504 min (b) 6 min (c) 84 min (d) 54 min
15. 15.₹234 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹195 (b) ₹39 (c) ₹234 (d) ₹117
16. 16.Two ribbons are 55 cm and 88 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 33 cm (b) 11 cm (c) 55 cm (d) 1 cm
17. 17.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 22 sq cm (b) 132 sq cm (c) 120 sq cm (d) 44 sq cm
18. 18.What is 2/3 of 21? (a) 15 (b) 7 (c) 21 (d) 14
19. 19.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 90 sq cm (c) 23 sq cm (d) 46 sq cm
20. 20.Every pair follows the same rule: 4 : 10, 6 : 16, 8 : 22. What is 3 : ? (a) 6 (b) 9 (c) 8 (d) 7
21. 21.What is the value of the digit 9 in 92.187? (a) 0.9 (b) 0.09 (c) 90 (d) 9
22. 22.₹10000 is invested at 9% per year simple interest. What is the amount after 4 years? (a) ₹13600 (b) ₹3600 (c) ₹14500 (d) ₹10900
23. 23.Which is the greatest: 0.116, 0.29, 0.2, 0.027? (a) 0.116 (b) 0.29 (c) 0.2 (d) 0.027
24. 24.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 20 cm (b) 99 cm (c) 31 cm (d) 40 cm
25. 25.A bag marked ₹660 is sold at a 20% discount. What is its selling price? (a) ₹640 (b) ₹792 (c) ₹132 (d) ₹528
26. 26.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 48 (b) 76 (c) 32 (d) 92
27. 27.A shopkeeper buys a toy for ₹540 and sells it for ₹621. What is his profit percent? (a) 81% (b) 10% (c) 15% (d) 20%
28. 28.₹4000 is invested at 10% per year simple interest. What is the amount after 5 years? (a) ₹2000 (b) ₹4400 (c) ₹6000 (d) ₹6400
29. 29.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 10 sq cm (d) 36 sq cm
30. 30.If 8x + 2 = 106, what is x? (a) 12 (b) 13 (c) 14 (d) 104
31. 31.What is 5/6 of 18? (a) 3 (b) 15 (c) 18 (d) 16
32. 32.If 2x + 28 = 32, what is x? (a) 4 (b) 3 (c) 30 (d) 2
33. 33.What is 5/7 of 63? (a) 9 (b) 54 (c) 18 (d) 45
34. 34.If 8x − 2 = 86, what is x? (a) 88 (b) 12 (c) 11 (d) 10
35. 35.₹297 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹27 (b) ₹216 (c) ₹108 (d) ₹189
36. 36.A teacher has 80 pencils and 90 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 720 (b) 5 (c) 10 (d) 80
37. 37.Which fraction is greater: 2/5 or 4/7? (a) 2/5 (b) They are equal (c) 4/7
38. 38.What is the value of the digit 4 in 72.584? (a) 0.04 (b) 4 (c) 0.004 (d) 0.4
39. 39.Every pair follows the same rule: 5 : 25, 8 : 64, 9 : 81. What is 4 : ? (a) 24 (b) 17 (c) 20 (d) 16
40. 40.What is the simple interest on ₹2000 at 12% per year for 2 years? (a) ₹720 (b) ₹2480 (c) ₹240 (d) ₹480

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