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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 686 · 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.Which fraction is greater: 8/9 or 2/5? (a) 2/5 (b) They are equal (c) 8/9
  2. 2.₹9000 is invested at 3% per year simple interest. What is the amount after 4 years? (a) ₹9270 (b) ₹10080 (c) ₹10350 (d) ₹1080
  3. 3.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 25? (a) 27 (b) 43 (c) 25 (d) 20
  4. 4.₹186 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹31 (b) ₹93 (c) ₹186 (d) ₹155
  5. 5.Which fraction is greater: 1/6 or 1/9? (a) 1/6 (b) They are equal (c) 1/9
  6. 6.What is the average of 66, 83, 66, 59, 74 and 84? (a) 71 (b) 72 (c) 74 (d) 73
  7. 7.Which is the smallest: 0.596, 0.67, 0.032, 0.6? (a) 0.596 (b) 0.67 (c) 0.032 (d) 0.6
  8. 8.What is 3/7 of 28? (a) 16 (b) 4 (c) 13 (d) 12
  9. 9.If x/5 + 12 = 17, what is x? (a) 145 (b) 73 (c) 25 (d) 5
  10. 10.If 10 April is a Tuesday, what day of the week is 15 May? (a) Monday (b) Tuesday (c) Wednesday (d) Thursday
  11. 11.4.45 + 7.2 = ? (a) 5.17 (b) 11.65 (c) 11.55 (d) 11.75
  12. 12.What is 60% of 280? (a) 112 (b) 168 (c) 1680 (d) 336
  13. 13.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 18 (b) 6 (c) 13 (d) 25
  14. 14.Which fraction is greater: 5/12 or 1/11? (a) 1/11 (b) 5/12 (c) They are equal
  15. 15.6/7 + 1/4 = ? (a) 7/11 (b) 31/28 (c) 15/14 (d) 8/7
  16. 16.If 3x + 9 = 2x + 12, what is x? (a) 3 (b) 4 (c) 5 (d) 21
  17. 17.Every pair follows the same rule: 4 : 12, 6 : 20, 9 : 32. What is 7 : ? (a) 24 (b) 25 (c) 15 (d) 21
  18. 18.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 27 cm (b) 4 cm (c) 8 cm (d) 5 cm
  19. 19.Today is Monday. What day of the week will it be after 97 days? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
  20. 20.Which fraction is greater: 2/11 or 4/5? (a) 4/5 (b) They are equal (c) 2/11
  21. 21.Which is the smallest: 0.5, 0.433, 0.54, 0.096? (a) 0.5 (b) 0.433 (c) 0.54 (d) 0.096
  22. 22.2/3 + 1/7 = ? (a) 3/10 (b) 16/21 (c) 6/7 (d) 17/21
  23. 23.Today is Monday. What day of the week will it be after 80 days? (a) Wednesday (b) Thursday (c) Friday (d) Saturday
  24. 24.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 46 (b) 24 (c) 12 (d) 34
  25. 25.Today is Sunday. What day of the week will it be after 79 days? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
  26. 26.What is the remainder when 472 is divided by 6? (a) 2 (b) 5 (c) 3 (d) 4
  27. 27.A shopkeeper buys a toy for ₹920 and sells it for ₹1012. What is his profit percent? (a) 92% (b) 15% (c) 10% (d) 5%
  28. 28.If 9x + 3 = 2x + 87, what is x? (a) 13 (b) 11 (c) 14 (d) 12
  29. 29.A teacher has 9 pencils and 15 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 9 (b) 3 (c) 6 (d) 1
  30. 30.₹4500 is invested at 9% per year simple interest. What is the amount after 5 years? (a) ₹4905 (b) ₹6930 (c) ₹2025 (d) ₹6525
  31. 31.Two bells ring every 6 minutes and every 9 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 15 min (b) 3 min (c) 18 min (d) 54 min
  32. 32.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 28 cm (b) 23 cm (c) 45 cm (d) 14 cm
  33. 33.₹387 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹43 (b) ₹344 (c) ₹387 (d) ₹345
  34. 34.If 3x + 25 = 46, what is x? (a) 8 (b) 6 (c) 7 (d) 21
  35. 35.What is the value of the digit 9 in 79.135? (a) 0.9 (b) 0.09 (c) 90 (d) 9
  36. 36.The simple interest on ₹10000 for 4 years is ₹2000. What is the rate per year? (a) 4% (b) 5% (c) 6% (d) 20%
  37. 37.Which fraction is greater: 10/11 or 9/10? (a) They are equal (b) 9/10 (c) 10/11
  38. 38.Two ribbons are 20 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 20 cm (b) 120 cm (c) 4 cm (d) 2 cm
  39. 39.What is the smallest number you must add to 114 to make it divisible by 4? (a) 2 (b) 3 (c) 1
  40. 40.If 8 pens cost ₹24, how much do 5 pens cost? (a) ₹15 (b) ₹21 (c) ₹18 (d) ₹120

Answer key

  1. 8/9
  2. ₹10080
  3. 43
  4. ₹155
  5. 1/6
  6. 72
  7. 0.032
  8. 12
  9. 25
  10. Tuesday
  11. 11.65
  12. 168
  13. 18
  14. 5/12
  15. 31/28
  16. 3
  17. 24
  18. 4 cm
  19. Sunday
  20. 4/5
  21. 0.096
  22. 17/21
  23. Thursday
  24. 34
  25. Tuesday
  26. 4
  27. 10%
  28. 12
  29. 3
  30. ₹6525
  31. 18 min
  32. 28 cm
  33. ₹344
  34. 7
  35. 9
  36. 5%
  37. 10/11
  38. 4 cm
  39. 2
  40. ₹15

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