Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 559 · 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 18 July is a Monday, what day of the week is 16 August? (a) Tuesday (b) Monday (c) Thursday (d) Wednesday
2. 2.In how many years will ₹7000 earn ₹1680 simple interest at 6% per year? (a) 4 years (b) 3 years (c) 5 years (d) 8 years
3. 3.Two ribbons are 16 cm and 36 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) 16 cm (c) 4 cm (d) 20 cm
4. 4.Which of these numbers is divisible by 8? (a) 2092 (b) 2088 (c) 2101 (d) 2087
5. 5.2/8 + 2/4 = ? (a) 1/3 (b) 5/8 (c) 7/8 (d) 3/4
6. 6.5.57 + 3.5 = ? (a) 5.92 (b) 8.97 (c) 9.17 (d) 9.07
7. 7.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 3 cm (b) 4 cm (c) 24 cm (d) 6 cm
8. 8.If 8x + 3 = 19, what is x? (a) 1 (b) 2 (c) 3 (d) 16
9. 9.In how many years will ₹3500 earn ₹945 simple interest at 9% per year? (a) 2 years (b) 3 years (c) 4 years (d) 6 years
10. 10.Two ribbons are 45 cm and 54 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 270 cm (b) 45 cm (c) 3 cm (d) 9 cm
11. 11.What is the average of all the whole numbers from 6 to 46? (a) 20 (b) 27 (c) 26 (d) 40
12. 12.What is 60% of 280? (a) 1680 (b) 336 (c) 112 (d) 168
13. 13.What is the average of 22, 31, 24, 22, 22 and 71? (a) 33 (b) 34 (c) 31 (d) 32
14. 14.What is the value of the digit 3 in 46.738? (a) 0.003 (b) 0.3 (c) 0.03 (d) 3
15. 15.What is the average of 66, 65, 69, 40, 41 and 43? (a) 56 (b) 53 (c) 55 (d) 54
16. 16.What is 7/9 of 81? (a) 72 (b) 63 (c) 18 (d) 9
17. 17.₹209 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹19 (b) ₹152 (c) ₹133 (d) ₹76
18. 18.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 150 cm
19. 19.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 28 (b) 49 (c) 29 (d) 101
20. 20.Which of these numbers is divisible by 3? (a) 1862 (b) 1865 (c) 1863 (d) 1868
21. 21.Which fraction is greater: 9/11 or 8/9? (a) They are equal (b) 8/9 (c) 9/11
22. 22.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 58 cm (c) 49 cm (d) 180 cm
23. 23.Every pair follows the same rule: 3 : 12, 4 : 19, 6 : 39. What is 5 : ? (a) 14 (b) 28 (c) 29 (d) 20
24. 24.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 44 (b) 28 (c) 58 (d) 37
25. 25.4.41 + 9.9 = ? (a) 14.21 (b) 5.4 (c) 14.31 (d) 14.41
26. 26.Today is Sunday. What day of the week will it be after 32 days? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
27. 27.Which is the greatest: 0.37, 0.3, 0.022, 0.222? (a) 0.37 (b) 0.3 (c) 0.022 (d) 0.222
28. 28.What is the smallest number you must add to 96 to make it divisible by 7? (a) 3 (b) 5 (c) 2 (d) 1
29. 29.Which fraction is greater: 11/12 or 3/5? (a) 11/12 (b) They are equal (c) 3/5
30. 30.What is the value of the digit 8 in 78.921? (a) 0.08 (b) 8 (c) 80 (d) 0.8
31. 31.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 180 cm (c) 11 cm (d) 10 cm
32. 32.If 6 January is a Monday, what day of the week is 17 January? (a) Thursday (b) Friday (c) Saturday (d) Sunday
33. 33.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 26 cm (b) 160 cm (c) 42 cm (d) 52 cm
34. 34.If 6 May is a Thursday, what day of the week is 19 May? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
35. 35.What is the simple interest on ₹1000 at 12% per year for 5 years? (a) ₹120 (b) ₹600 (c) ₹720 (d) ₹1600
36. 36.What is the remainder when 382 is divided by 8? (a) 6 (b) 7 (c) 5 (d) 2
37. 37.What is the simple interest on ₹4000 at 8% per year for 4 years? (a) ₹1600 (b) ₹320 (c) ₹1280 (d) ₹5280
38. 38.What is the smallest number you must add to 118 to make it divisible by 3? (a) 1 (b) 2
39. 39.Which fraction is greater: 2/7 or 1/4? (a) 2/7 (b) 1/4 (c) They are equal
40. 40.The simple interest on ₹3500 for 3 years is ₹1050. What is the rate per year? (a) 9% (b) 10% (c) 30% (d) 11%

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