Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 618 · 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.Every pair follows the same rule: 2 : 2, 3 : 7, 5 : 17. What is 6 : ? (a) 23 (b) 6 (c) 22 (d) 21
2. 2.7.71 + 9.8 = ? (a) 17.61 (b) 17.41 (c) 17.51 (d) 8.69
3. 3.2.92 + 1.5 = ? (a) 3.07 (b) 4.32 (c) 4.42 (d) 4.52
4. 4.₹245 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹49 (b) ₹98 (c) ₹196 (d) ₹147
5. 5.₹7500 is invested at 6% per year simple interest. What is the amount after 2 years? (a) ₹900 (b) ₹8400 (c) ₹7950 (d) ₹8850
6. 6.If 9x + 18 = 8x + 28, what is x? (a) 10 (b) 12 (c) 46 (d) 11
7. 7.Which is the smallest: 0.42, 0.344, 0.4, 0.035? (a) 0.42 (b) 0.344 (c) 0.4 (d) 0.035
8. 8.The simple interest on ₹1500 for 4 years is ₹600. What is the rate per year? (a) 40% (b) 10% (c) 11% (d) 9%
9. 9.Which fraction is greater: 5/9 or 1/4? (a) 1/4 (b) 5/9 (c) They are equal
10. 10.Two ribbons are 18 cm and 21 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 126 cm (b) 1 cm (c) 3 cm (d) 18 cm
11. 11.₹4000 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹4080 (b) ₹240 (c) ₹4320 (d) ₹4240
12. 12.If 19 September is a Monday, what day of the week is 14 October? (a) Sunday (b) Saturday (c) Thursday (d) Friday
13. 13.3/7 + 2/4 = ? (a) 27/28 (b) 13/14 (c) 5/11 (d) 25/28
14. 14.Today is Sunday. What day of the week will it be after 25 days? (a) Wednesday (b) Friday (c) Thursday (d) Saturday
15. 15.What is the simple interest on ₹8000 at 12% per year for 5 years? (a) ₹5760 (b) ₹960 (c) ₹4800 (d) ₹12800
16. 16.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 39 cm (c) 4 cm (d) 5 cm
17. 17.Every pair follows the same rule: 2 : 4, 6 : 36, 9 : 81. What is 5 : ? (a) 21 (b) 10 (c) 7 (d) 25
18. 18.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 23 (b) 47 (c) 17 (d) 18
19. 19.What is the smallest number you must add to 642 to make it divisible by 9? (a) 6 (b) 3 (c) 5 (d) 7
20. 20.Which of these numbers is divisible by 8? (a) 3895 (b) 3882 (c) 3897 (d) 3888
21. 21.Which of these numbers is divisible by 6? (a) 2708 (b) 2720 (c) 2717 (d) 2712
22. 22.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 38 cm (d) 48 cm
23. 23.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 4 : ? (a) 34 (b) 64 (c) 4 (d) 65
24. 24.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 32 (b) 33 (c) 61 (d) 62
25. 25.If 21 March is a Wednesday, what day of the week is 9 April? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
26. 26.If 9 pens cost ₹135, how much do 12 pens cost? (a) ₹1620 (b) ₹138 (c) ₹180 (d) ₹195
27. 27.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 83 (b) 20 (c) 44 (d) 59
28. 28.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 120 sq cm (b) 22 sq cm (c) 44 sq cm (d) 105 sq cm
29. 29.If 26 October is a Thursday, what day of the week is 10 November? (a) Saturday (b) Sunday (c) Thursday (d) Friday
30. 30.If x/5 + 8 = 20, what is x? (a) 12 (b) 92 (c) 60 (d) 140
31. 31.If 13 January is a Friday, what day of the week is 25 January? (a) Wednesday (b) Friday (c) Tuesday (d) Thursday
32. 32.What is the remainder when 222 is divided by 10? (a) 1 (b) 3 (c) 8 (d) 2
33. 33.In how many years will ₹2500 earn ₹500 simple interest at 10% per year? (a) 2 years (b) 3 years (c) 1 year (d) 4 years
34. 34.A bag marked ₹1820 is sold at a 15% discount. What is its selling price? (a) ₹1805 (b) ₹273 (c) ₹2093 (d) ₹1547
35. 35.Two ribbons are 72 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 72 cm (c) 504 cm (d) 6 cm
36. 36.What is the smallest number you must add to 311 to make it divisible by 10? (a) 8 (b) 7 (c) 9 (d) 1
37. 37.A teacher has 40 pencils and 50 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 200 (c) 5 (d) 40
38. 38.If 3x − 11 = 25, what is x? (a) 36 (b) 13 (c) 11 (d) 12
39. 39.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 196 sq cm (d) 26 sq cm
40. 40.Which fraction is greater: 3/4 or 1/11? (a) They are equal (b) 1/11 (c) 3/4

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