Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 983 · 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.Two ribbons are 20 cm and 35 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 15 cm (b) 1 cm (c) 20 cm (d) 5 cm
2. 2.Which is the greatest: 0.022, 0.189, 0.29, 0.2? (a) 0.022 (b) 0.189 (c) 0.29 (d) 0.2
3. 3.What is the average of all the whole numbers from 6 to 40? (a) 23 (b) 24 (c) 17 (d) 34
4. 4.What is the units digit of 8^23? (a) 2 (b) 6 (c) 8 (d) 4
5. 5.What is 25% of 760? (a) 570 (b) 1900 (c) 380 (d) 190
6. 6.If 3x + 15 = 30, what is x? (a) 15 (b) 6 (c) 5 (d) 4
7. 7.Which fraction is greater: 1/3 or 2/5? (a) 1/3 (b) They are equal (c) 2/5
8. 8.Which is the greatest: 0.6, 0.071, 0.543, 0.62? (a) 0.6 (b) 0.071 (c) 0.543 (d) 0.62
9. 9.Which fraction is greater: 10/11 or 2/3? (a) 2/3 (b) 10/11 (c) They are equal
10. 10.If 11 November is a Monday, what day of the week is 3 December? (a) Thursday (b) Wednesday (c) Monday (d) Tuesday
11. 11.If 4 October is a Monday, what day of the week is 17 October? (a) Saturday (b) Sunday (c) Monday (d) Tuesday
12. 12.If 11 December is a Sunday, what day of the week is 24 December? (a) Friday (b) Saturday (c) Sunday (d) Monday
13. 13.Which fraction is greater: 1/5 or 1/4? (a) They are equal (b) 1/4 (c) 1/5
14. 14.What is the average of 53, 39, 59 and 41? (a) 49 (b) 48 (c) 47 (d) 64
15. 15.What is the average of 82, 88, 63 and 71? (a) 78 (b) 77 (c) 75 (d) 76
16. 16.₹3000 is invested at 6% per year simple interest. What is the amount after 5 years? (a) ₹3180 (b) ₹3900 (c) ₹900 (d) ₹4080
17. 17.What is the average of all the whole numbers from 47 to 53? (a) 50 (b) 3 (c) 51 (d) 6
18. 18.Which fraction is greater: 1/4 or 2/11? (a) They are equal (b) 1/4 (c) 2/11
19. 19.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 140 cm (b) 48 cm (c) 38 cm (d) 24 cm
20. 20.In how many years will ₹10000 earn ₹4800 simple interest at 12% per year? (a) 8 years (b) 3 years (c) 4 years (d) 5 years
21. 21.If 8 January is a Sunday, what day of the week is 23 January? (a) Sunday (b) Wednesday (c) Tuesday (d) Monday
22. 22.A teacher has 56 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 56 (c) 8 (d) 16
23. 23.What is 5/6 of 30? (a) 5 (b) 30 (c) 25 (d) 26
24. 24.Two ribbons are 32 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 40 cm (b) 32 cm (c) 8 cm (d) 4 cm
25. 25.Every pair follows the same rule: 2 : 3, 3 : 6, 8 : 21. What is 6 : ? (a) 16 (b) 14 (c) 15 (d) 7
26. 26.4.85 + 2.9 = ? (a) 7.75 (b) 5.14 (c) 7.85 (d) 7.65
27. 27.The simple interest on ₹4500 for 2 years is ₹990. What is the rate per year? (a) 12% (b) 22% (c) 10% (d) 11%
28. 28.Two bells ring every 6 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 21 min (b) 30 min (c) 3 min (d) 90 min
29. 29.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
30. 30.Which of these numbers is divisible by 4? (a) 1309 (b) 1306 (c) 1304 (d) 1302
31. 31.A bag marked ₹560 is sold at a 50% discount. What is its selling price? (a) ₹510 (b) ₹281 (c) ₹280 (d) ₹840
32. 32.If 6 December is a Friday, what day of the week is 18 December? (a) Tuesday (b) Friday (c) Thursday (d) Wednesday
33. 33.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 80 cm (c) 10 cm (d) 5 cm
34. 34.A shopkeeper buys a toy for ₹140 and sells it for ₹210. What is his profit percent? (a) 50% (b) 70% (c) 45% (d) 55%
35. 35.If 4x − 10 = 18, what is x? (a) 7 (b) 28 (c) 8 (d) 2
36. 36.Today is Sunday. What day of the week will it be after 30 days? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
37. 37.What is the smallest number of sweets that can be shared equally among 6 children or among 9 children, with none left over? (a) 54 (b) 18 (c) 15 (d) 36
38. 38.A bag marked ₹400 is sold at a 25% discount. What is its selling price? (a) ₹375 (b) ₹500 (c) ₹300 (d) ₹100
39. 39.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 32 (c) 24 (d) 50
40. 40.₹112 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹16 (b) ₹32 (c) ₹80 (d) ₹56

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