Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 418 · 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. 1.4.69 + 5.3 = ? (a) 5.22 (b) 10.09 (c) 9.99 (d) 9.89
2. 2.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 121 sq cm (d) 100 sq cm
3. 3.Today is Tuesday. What day of the week will it be after 92 days? (a) Tuesday (b) Friday (c) Thursday (d) Wednesday
4. 4.What is the smallest number of sweets that can be shared equally among 12 children or among 20 children, with none left over? (a) 32 (b) 240 (c) 60 (d) 120
5. 5.Every pair follows the same rule: 2 : 5, 4 : 11, 5 : 14. What is 6 : ? (a) 16 (b) 18 (c) 17 (d) 9
6. 6.If 5 mangoes cost ₹40, how much do 9 mangoes cost? (a) ₹44 (b) ₹80 (c) ₹360 (d) ₹72
7. 7.A bag marked ₹1340 is sold at a 50% discount. What is its selling price? (a) ₹671 (b) ₹1290 (c) ₹2010 (d) ₹670
8. 8.Every pair follows the same rule: 3 : 9, 4 : 12, 5 : 15. What is 8 : ? (a) 23 (b) 25 (c) 14 (d) 24
9. 9.What is the smallest number of sweets that can be shared equally among 6 children or among 10 children, with none left over? (a) 60 (b) 16 (c) 31 (d) 30
10. 10.If x/2 + 2 = 10, what is x? (a) 8 (b) 18 (c) 24 (d) 16
11. 11.Which is the greatest: 0.032, 0.39, 0.3, 0.234? (a) 0.032 (b) 0.39 (c) 0.3 (d) 0.234
12. 12.If 5x + 25 = 60, what is x? (a) 17 (b) 7 (c) 8 (d) 35
13. 13.If 3x + 9 = x + 21, what is x? (a) 3 (b) 15 (c) 6 (d) 7
14. 14.What is 1/3 of 27? (a) 9 (b) 18 (c) 10 (d) 8
15. 15.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 37? (a) 109 (b) 80 (c) 37 (d) 45
16. 16.Which is the smallest: 0.533, 0.68, 0.078, 0.6? (a) 0.533 (b) 0.68 (c) 0.078 (d) 0.6
17. 17.Which is the smallest: 0.5, 0.56, 0.037, 0.442? (a) 0.5 (b) 0.56 (c) 0.037 (d) 0.442
18. 18.Today is Saturday. What day of the week will it be after 13 days? (a) Sunday (b) Thursday (c) Friday (d) Saturday
19. 19.What is the units digit of 4^29? (a) 5 (b) 6 (c) 3 (d) 4
20. 20.If 2 October is a Tuesday, what day of the week is 12 October? (a) Friday (b) Saturday (c) Thursday (d) Sunday
21. 21.₹10000 is invested at 11% per year simple interest. What is the amount after 2 years? (a) ₹2200 (b) ₹13300 (c) ₹11100 (d) ₹12200
22. 22.If 3x − 22 = 14, what is x? (a) 12 (b) 13 (c) 11 (d) 36
23. 23.What is the simple interest on ₹4500 at 12% per year for 3 years? (a) ₹540 (b) ₹2160 (c) ₹6120 (d) ₹1620
24. 24.If 21 June is a Monday, what day of the week is 1 July? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
25. 25.Two ribbons are 8 cm and 14 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 1 cm (c) 8 cm (d) 6 cm
26. 26.If 9 kites cost ₹81, how much do 12 kites cost? (a) ₹972 (b) ₹117 (c) ₹108 (d) ₹84
27. 27.What is the smallest number of sweets that can be shared equally among 12 children or among 21 children, with none left over? (a) 84 (b) 168 (c) 252 (d) 33
28. 28.If 6 notebooks cost ₹18, how much do 2 notebooks cost? (a) ₹14 (b) ₹36 (c) ₹6 (d) ₹9
29. 29.Two bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 24 min (c) 70 min (d) 140 min
30. 30.What is the value of the digit 6 in 21.769? (a) 0.6 (b) 0.006 (c) 0.06 (d) 6
31. 31.If 5x + 1 = 46, what is x? (a) 45 (b) 8 (c) 10 (d) 9
32. 32.A batter has an average of 59 runs in 3 matches. How many runs are needed in the next match to raise the average to 66? (a) 73 (b) 66 (c) 28 (d) 87
33. 33.Every pair follows the same rule: 2 : 3, 3 : 8, 7 : 48. What is 5 : ? (a) 28 (b) 24 (c) 25 (d) 6
34. 34.A teacher has 15 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 90 (b) 15 (c) 3 (d) 1
35. 35.If 8 pens cost ₹176, how much do 2 pens cost? (a) ₹66 (b) ₹170 (c) ₹44 (d) ₹352
36. 36.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 21 min (b) 3 min (c) 108 min (d) 36 min
37. 37.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 44 sq cm (c) 33 sq cm (d) 14 sq cm
38. 38.Which fraction is greater: 4/9 or 1/4? (a) 1/4 (b) They are equal (c) 4/9
39. 39.Which fraction is greater: 5/8 or 2/3? (a) They are equal (b) 2/3 (c) 5/8
40. 40.What is the smallest number you must add to 139 to make it divisible by 3? (a) 2 (b) 1

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