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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 265 · 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.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 20 (b) 46 (c) 57 (d) 31
  2. 2.If 5x + 9 = 24, what is x? (a) 4 (b) 3 (c) 2 (d) 15
  3. 3.What is the average of 27, 31, 29, 30 and 13? (a) 27 (b) 28 (c) 26 (d) 25
  4. 4.Every pair follows the same rule: 3 : 11, 5 : 15, 9 : 23. What is 4 : ? (a) 13 (b) 14 (c) 15 (d) 12
  5. 5.What is the remainder when 297 is divided by 4? (a) 1 (b) 0 (c) 2 (d) 3
  6. 6.8 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 41 days (b) 16 days (c) 4 days (d) 40 days
  7. 7.What is the simple interest on ₹9500 at 4% per year for 3 years? (a) ₹1140 (b) ₹10640 (c) ₹380 (d) ₹1520
  8. 8.What is 10% of 200? (a) 20 (b) 200 (c) 40 (d) 180
  9. 9.A bag marked ₹260 is sold at a 50% discount. What is its selling price? (a) ₹131 (b) ₹130 (c) ₹210 (d) ₹390
  10. 10.Which fraction is greater: 8/11 or 1/8? (a) They are equal (b) 1/8 (c) 8/11
  11. 11.Which of these numbers is divisible by 9? (a) 1855 (b) 1839 (c) 1845 (d) 1846
  12. 12.If 2x + 20 = 28, what is x? (a) 24 (b) 5 (c) 4 (d) 8
  13. 13.If 26 May is a Monday, what day of the week is 18 June? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
  14. 14.If 1 August is a Sunday, what day of the week is 12 August? (a) Thursday (b) Friday (c) Wednesday (d) Saturday
  15. 15.If 2 March is a Tuesday, what day of the week is 12 March? (a) Thursday (b) Friday (c) Saturday (d) Sunday
  16. 16.If x/6 + 4 = 12, what is x? (a) 8 (b) 68 (c) 48 (d) 96
  17. 17.Every pair follows the same rule: 1 : 1, 2 : 8, 5 : 125. What is 3 : ? (a) 28 (b) 27 (c) 3 (d) 47
  18. 18.If x/2 + 12 = 22, what is x? (a) 10 (b) 68 (c) 32 (d) 20
  19. 19.If 5x + 6 = x + 34, what is x? (a) 8 (b) 7 (c) 10 (d) 9
  20. 20.If 12 October is a Sunday, what day of the week is 22 October? (a) Friday (b) Wednesday (c) Tuesday (d) Thursday
  21. 21.If x/6 + 4 = 14, what is x? (a) 10 (b) 80 (c) 108 (d) 60
  22. 22.What is the smallest number of sweets that can be shared equally among 12 children or among 18 children, with none left over? (a) 30 (b) 36 (c) 72 (d) 216
  23. 23.A shopkeeper buys a toy for ₹280 and sells it for ₹294. What is his profit percent? (a) 10% (b) 6% (c) 5% (d) 14%
  24. 24.5.59 + 6.3 = ? (a) 11.79 (b) 11.99 (c) 11.89 (d) 6.22
  25. 25.₹170 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹136 (b) ₹85 (c) ₹170 (d) ₹34
  26. 26.1.44 + 5.1 = ? (a) 1.95 (b) 6.44 (c) 6.64 (d) 6.54
  27. 27.A bag marked ₹800 is sold at a 30% discount. What is its selling price? (a) ₹240 (b) ₹770 (c) ₹1040 (d) ₹560
  28. 28.₹8000 is invested at 11% per year simple interest. What is the amount after 5 years? (a) ₹13280 (b) ₹4400 (c) ₹12400 (d) ₹8880
  29. 29.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 112 min (b) 2 min (c) 56 min (d) 22 min
  30. 30.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 48 sq cm (c) 14 sq cm (d) 28 sq cm
  31. 31.Today is Sunday. What day of the week will it be after 93 days? (a) Tuesday (b) Wednesday (c) Thursday (d) Monday
  32. 32.Which is the greatest: 0.112, 0.028, 0.2, 0.22? (a) 0.112 (b) 0.028 (c) 0.2 (d) 0.22
  33. 33.If x/3 + 9 = 20, what is x? (a) 51 (b) 33 (c) 11 (d) 87
  34. 34.If 6x + 2 = 80, what is x? (a) 14 (b) 13 (c) 78 (d) 12
  35. 35.3 workers can build a wall in 6 days. How many days will 9 workers take, working at the same speed? (a) 12 days (b) 2 days (c) 18 days (d) 3 days
  36. 36.If 3x − 2 = 4, what is x? (a) 3 (b) 1 (c) 2 (d) 6
  37. 37.If 5 notebooks cost ₹25, how much do 7 notebooks cost? (a) ₹27 (b) ₹35 (c) ₹40 (d) ₹175
  38. 38.What is the units digit of 3^34? (a) 7 (b) 3 (c) 1 (d) 9
  39. 39.What is the smallest number you must add to 523 to make it divisible by 7? (a) 5 (b) 1 (c) 2 (d) 3
  40. 40.₹8500 is invested at 4% per year simple interest. What is the amount after 2 years? (a) ₹9520 (b) ₹8840 (c) ₹9180 (d) ₹680

Answer key

  1. 46
  2. 3
  3. 26
  4. 13
  5. 1
  6. 40 days
  7. ₹1140
  8. 20
  9. ₹130
  10. 8/11
  11. 1845
  12. 4
  13. Wednesday
  14. Thursday
  15. Friday
  16. 48
  17. 27
  18. 20
  19. 7
  20. Wednesday
  21. 60
  22. 36
  23. 5%
  24. 11.89
  25. ₹136
  26. 6.54
  27. ₹560
  28. ₹12400
  29. 56 min
  30. 48 sq cm
  31. Tuesday
  32. 0.22
  33. 33
  34. 13
  35. 2 days
  36. 2
  37. ₹35
  38. 9
  39. 2
  40. ₹9180

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