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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 186 · 40 questions
TalentJR

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.

NameDateTime takenScore ___ / 40
  1. 1.What is 75% of 660? (a) 4950 (b) 165 (c) 495 (d) 990
  2. 2.Which fraction is greater: 10/11 or 3/4? (a) 3/4 (b) 10/11 (c) They are equal
  3. 3.Today is Monday. What day of the week will it be after 17 days? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
  4. 4.What is the average of 55, 45, 64, 62, 54 and 62? (a) 57 (b) 59 (c) 58 (d) 56
  5. 5.In how many years will ₹9000 earn ₹2160 simple interest at 6% per year? (a) 3 years (b) 4 years (c) 8 years (d) 5 years
  6. 6.What is 15% of 960? (a) 816 (b) 288 (c) 144 (d) 1440
  7. 7.Which fraction is greater: 1/5 or 6/11? (a) 1/5 (b) They are equal (c) 6/11
  8. 8.If 9x + 14 = 5x + 62, what is x? (a) 14 (b) 12 (c) 19 (d) 13
  9. 9.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 67 (b) 40 (c) 35 (d) 31
  10. 10.What is the simple interest on ₹2500 at 9% per year for 2 years? (a) ₹450 (b) ₹2950 (c) ₹225 (d) ₹675
  11. 11.Which fraction is greater: 3/11 or 1/3? (a) 3/11 (b) They are equal (c) 1/3
  12. 12.What is the simple interest on ₹2500 at 8% per year for 2 years? (a) ₹600 (b) ₹200 (c) ₹2900 (d) ₹400
  13. 13.The simple interest on ₹7000 for 3 years is ₹1260. What is the rate per year? (a) 7% (b) 6% (c) 5% (d) 18%
  14. 14.If 13 December is a Monday, what day of the week is 25 December? (a) Friday (b) Monday (c) Saturday (d) Sunday
  15. 15.Which is the smallest: 0.8, 0.741, 0.066, 0.87? (a) 0.8 (b) 0.741 (c) 0.066 (d) 0.87
  16. 16.What is the average of 17, 35, 26, 24, 17 and 25? (a) 23 (b) 25 (c) 26 (d) 24
  17. 17.If 24 November is a Wednesday, what day of the week is 10 December? (a) Sunday (b) Saturday (c) Thursday (d) Friday
  18. 18.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 48 (b) 78 (c) 35 (d) 91
  19. 19.5.61 + 9.9 = ? (a) 6.6 (b) 15.61 (c) 15.41 (d) 15.51
  20. 20.If 5x − 22 = 3, what is x? (a) 6 (b) 4 (c) 5 (d) 25
  21. 21.A shopkeeper buys a toy for ₹580 and sells it for ₹493. What is his loss percent? (a) 15% (b) 20% (c) 87% (d) 10%
  22. 22.What is 5/9 of 54? (a) 30 (b) 24 (c) 36 (d) 6
  23. 23.If 7 January is a Thursday, what day of the week is 19 January? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
  24. 24.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 98 cm (b) 16 cm (c) 9 cm (d) 8 cm
  25. 25.The simple interest on ₹5000 for 2 years is ₹1100. What is the rate per year? (a) 12% (b) 10% (c) 11% (d) 22%
  26. 26.4/7 + 1/3 = ? (a) 20/21 (b) 1/2 (c) 6/7 (d) 19/21
  27. 27.If 15 May is a Friday, what day of the week is 29 May? (a) Saturday (b) Thursday (c) Friday (d) Sunday
  28. 28.Today is Saturday. What day of the week will it be after 27 days? (a) Thursday (b) Saturday (c) Sunday (d) Friday
  29. 29.What is the average of 46, 37, 25, 47 and 30? (a) 37 (b) 36 (c) 38 (d) 39
  30. 30.A batter has an average of 37 runs in 6 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 49 (c) 79 (d) 42
  31. 31.What is the average of 83, 64, 76 and 69? (a) 72 (b) 73 (c) 74 (d) 75
  32. 32.What is the smallest number you must add to 201 to make it divisible by 7? (a) 3 (b) 2 (c) 1 (d) 5
  33. 33.1/2 + 3/4 = ? (a) 3/2 (b) 5/4 (c) 1 (d) 2/3
  34. 34.A shopkeeper buys a toy for ₹760 and sells it for ₹684. What is his loss percent? (a) 76% (b) 5% (c) 15% (d) 10%
  35. 35.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 25 sq cm (d) 10 sq cm
  36. 36.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 20 sq cm (d) 16 sq cm
  37. 37.Two ribbons are 21 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) 21 cm (b) 1 cm (c) 7 cm (d) 14 cm
  38. 38.Two bells ring every 12 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 216 min (c) 30 min (d) 36 min
  39. 39.If 7 notebooks cost ₹35, how much do 9 notebooks cost? (a) ₹45 (b) ₹315 (c) ₹37 (d) ₹50
  40. 40.Every pair follows the same rule: 3 : 9, 6 : 36, 8 : 64. What is 9 : ? (a) 27 (b) 81 (c) 15 (d) 78

Answer key

  1. 495
  2. 10/11
  3. Thursday
  4. 57
  5. 4 years
  6. 144
  7. 6/11
  8. 12
  9. 67
  10. ₹450
  11. 1/3
  12. ₹400
  13. 6%
  14. Saturday
  15. 0.066
  16. 24
  17. Friday
  18. 78
  19. 15.51
  20. 5
  21. 15%
  22. 30
  23. Tuesday
  24. 8 cm
  25. 11%
  26. 19/21
  27. Friday
  28. Friday
  29. 37
  30. 79
  31. 73
  32. 2
  33. 5/4
  34. 10%
  35. 25 sq cm
  36. 16 sq cm
  37. 7 cm
  38. 36 min
  39. ₹45
  40. 81

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