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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 11 · 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 the average of all the whole numbers from 40 to 76? (a) 36 (b) 18 (c) 59 (d) 58
  2. 2.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 3 : ? (a) 28 (b) 3 (c) 27 (d) 26
  3. 3.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 24 (b) 35 (c) 54 (d) 43
  4. 4.Which is the smallest: 0.37, 0.3, 0.014, 0.256? (a) 0.37 (b) 0.3 (c) 0.014 (d) 0.256
  5. 5.What is the smallest number you must add to 569 to make it divisible by 8? (a) 1 (b) 5 (c) 6 (d) 7
  6. 6.Which is the greatest: 0.62, 0.039, 0.522, 0.6? (a) 0.62 (b) 0.039 (c) 0.522 (d) 0.6
  7. 7.Which of these numbers is divisible by 8? (a) 2021 (b) 2006 (c) 2009 (d) 2008
  8. 8.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 8 sq cm (c) 12 sq cm (d) 16 sq cm
  9. 9.Every pair follows the same rule: 6 : 15, 7 : 18, 8 : 21. What is 3 : ? (a) 6 (b) 12 (c) 7 (d) 5
  10. 10.What is the average of all the whole numbers from 39 to 69? (a) 15 (b) 55 (c) 54 (d) 30
  11. 11.If 7 pens cost ₹133, how much do 8 pens cost? (a) ₹134 (b) ₹171 (c) ₹1064 (d) ₹152
  12. 12.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) 216 min (b) 6 min (c) 30 min (d) 36 min
  13. 13.3.29 + 8.6 = ? (a) 11.89 (b) 11.79 (c) 4.15 (d) 11.99
  14. 14.Which is the greatest: 0.3, 0.058, 0.37, 0.239? (a) 0.3 (b) 0.058 (c) 0.37 (d) 0.239
  15. 15.What is the simple interest on ₹4000 at 10% per year for 4 years? (a) ₹5600 (b) ₹400 (c) ₹1600 (d) ₹2000
  16. 16.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 37 (b) 34 (c) 18 (d) 49
  17. 17.4 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 2 days (b) 6 days (c) 8 days (d) 9 days
  18. 18.Every pair follows the same rule: 2 : 18, 7 : 63, 9 : 81. What is 8 : ? (a) 71 (b) 72 (c) 24 (d) 73
  19. 19.₹260 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹180 (b) ₹20 (c) ₹130 (d) ₹80
  20. 20.Which fraction is greater: 1/5 or 5/6? (a) They are equal (b) 5/6 (c) 1/5
  21. 21.Which is the smallest: 0.154, 0.26, 0.041, 0.2? (a) 0.154 (b) 0.26 (c) 0.041 (d) 0.2
  22. 22.If 8 kites cost ₹112, how much do 10 kites cost? (a) ₹114 (b) ₹154 (c) ₹1120 (d) ₹140
  23. 23.What is the average of 61, 63, 68 and 48? (a) 61 (b) 60 (c) 80 (d) 59
  24. 24.What is the smallest number you must add to 756 to make it divisible by 11? (a) 4 (b) 2 (c) 8 (d) 3
  25. 25.Which is the greatest: 0.083, 0.89, 0.8, 0.739? (a) 0.083 (b) 0.89 (c) 0.8 (d) 0.739
  26. 26.Which is the greatest: 0.197, 0.26, 0.093, 0.2? (a) 0.197 (b) 0.26 (c) 0.093 (d) 0.2
  27. 27.What is the remainder when 319 is divided by 7? (a) 6 (b) 3 (c) 5 (d) 4
  28. 28.What is the value of the digit 3 in 37.529? (a) 0.3 (b) 3 (c) 0.03 (d) 30
  29. 29.If 26 September is a Tuesday, what day of the week is 3 October? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
  30. 30.The simple interest on ₹3500 for 3 years is ₹315. What is the rate per year? (a) 9% (b) 3% (c) 2% (d) 4%
  31. 31.If 6x − 13 = 71, what is x? (a) 15 (b) 84 (c) 13 (d) 14
  32. 32.1/2 + 5/6 = ? (a) 7/6 (b) 4/3 (c) 3/4 (d) 3/2
  33. 33.What is the remainder when 163 is divided by 8? (a) 5 (b) 3 (c) 2 (d) 4
  34. 34.Every pair follows the same rule: 3 : 12, 5 : 28, 6 : 39. What is 2 : ? (a) 7 (b) 8 (c) 6 (d) 11
  35. 35.What is 25% of 620? (a) 1550 (b) 155 (c) 465 (d) 310
  36. 36.7.13 + 4.8 = ? (a) 11.93 (b) 11.83 (c) 12.03 (d) 7.61
  37. 37.Today is Saturday. What day of the week will it be after 70 days? (a) Monday (b) Saturday (c) Friday (d) Sunday
  38. 38.8.07 + 8.2 = ? (a) 16.27 (b) 16.17 (c) 8.89 (d) 16.37
  39. 39.Two bells ring every 9 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 189 min (b) 3 min (c) 30 min (d) 63 min
  40. 40.1.26 + 7.5 = ? (a) 2.01 (b) 8.76 (c) 8.86 (d) 8.66

Answer key

  1. 58
  2. 27
  3. 54
  4. 0.014
  5. 7
  6. 0.62
  7. 2008
  8. 12 sq cm
  9. 6
  10. 54
  11. ₹152
  12. 36 min
  13. 11.89
  14. 0.37
  15. ₹1600
  16. 49
  17. 8 days
  18. 72
  19. ₹180
  20. 5/6
  21. 0.041
  22. ₹140
  23. 60
  24. 3
  25. 0.89
  26. 0.26
  27. 4
  28. 30
  29. Tuesday
  30. 3%
  31. 14
  32. 4/3
  33. 3
  34. 7
  35. 155
  36. 11.93
  37. Saturday
  38. 16.27
  39. 63 min
  40. 8.76

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