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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 272 · 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.A shopkeeper buys a toy for ₹520 and sells it for ₹442. What is his loss percent? (a) 15% (b) 20% (c) 78% (d) 10%
  2. 2.If 24 January is a Sunday, what day of the week is 2 February? (a) Tuesday (b) Thursday (c) Wednesday (d) Monday
  3. 3.In how many years will ₹9500 earn ₹380 simple interest at 2% per year? (a) 1 year (b) 3 years (c) 4 years (d) 2 years
  4. 4.₹1500 is invested at 3% per year simple interest. What is the amount after 2 years? (a) ₹1545 (b) ₹90 (c) ₹1590 (d) ₹1635
  5. 5.If x/6 + 3 = 8, what is x? (a) 5 (b) 66 (c) 30 (d) 45
  6. 6.Every pair follows the same rule: 5 : 10, 6 : 11, 9 : 14. What is 4 : ? (a) 10 (b) 9 (c) 11 (d) 8
  7. 7.In how many years will ₹2500 earn ₹900 simple interest at 12% per year? (a) 3 years (b) 6 years (c) 2 years (d) 4 years
  8. 8.What is the smallest number of sweets that can be shared equally among 9 children or among 21 children, with none left over? (a) 189 (b) 126 (c) 63 (d) 30
  9. 9.Today is Monday. What day of the week will it be after 34 days? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
  10. 10.What is the remainder when 369 is divided by 6? (a) 2 (b) 3 (c) 4 (d) 5
  11. 11.If 8 notebooks cost ₹168, how much do 10 notebooks cost? (a) ₹210 (b) ₹1680 (c) ₹170 (d) ₹231
  12. 12.If 7x + 4 = 5x + 16, what is x? (a) 6 (b) 10 (c) 1 (d) 7
  13. 13.Which fraction is greater: 3/4 or 1/11? (a) 1/11 (b) They are equal (c) 3/4
  14. 14.If 27 October is a Thursday, what day of the week is 8 November? (a) Monday (b) Tuesday (c) Thursday (d) Wednesday
  15. 15.If x/6 + 15 = 26, what is x? (a) 11 (b) 141 (c) 246 (d) 66
  16. 16.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 39 cm (b) 85 cm (c) 44 cm (d) 22 cm
  17. 17.Every pair follows the same rule: 4 : 10, 5 : 13, 6 : 16. What is 2 : ? (a) 3 (b) 5 (c) 8 (d) 4
  18. 18.Which fraction is greater: 1/3 or 5/6? (a) 1/3 (b) 5/6 (c) They are equal
  19. 19.The simple interest on ₹9000 for 2 years is ₹900. What is the rate per year? (a) 6% (b) 10% (c) 5% (d) 4%
  20. 20.What is 10% of 540? (a) 486 (b) 540 (c) 108 (d) 54
  21. 21.A shopkeeper buys a toy for ₹940 and sells it for ₹1316. What is his profit percent? (a) 35% (b) 40% (c) 45% (d) 41%
  22. 22.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 27 (b) 56 (c) 13 (d) 14
  23. 23.What is the simple interest on ₹9000 at 3% per year for 4 years? (a) ₹10080 (b) ₹1350 (c) ₹270 (d) ₹1080
  24. 24.Which fraction is greater: 1/3 or 5/11? (a) 1/3 (b) 5/11 (c) They are equal
  25. 25.5/6 + 6/8 = ? (a) 11/14 (b) 13/8 (c) 37/24 (d) 19/12
  26. 26.A shopkeeper buys a toy for ₹260 and sells it for ₹182. What is his loss percent? (a) 35% (b) 30% (c) 25% (d) 78%
  27. 27.What is the average of all the whole numbers from 36 to 60? (a) 48 (b) 24 (c) 49 (d) 12
  28. 28.If x/2 + 1 = 9, what is x? (a) 20 (b) 8 (c) 16 (d) 17
  29. 29.1/3 + 1/2 = ? (a) 1 (b) 2/5 (c) 2/3 (d) 5/6
  30. 30.Every pair follows the same rule: 1 : 1, 3 : 27, 6 : 216. What is 2 : ? (a) 2 (b) 7 (c) 9 (d) 8
  31. 31.Every pair follows the same rule: 2 : 1, 4 : 13, 6 : 33. What is 8 : ? (a) 60 (b) 61 (c) 62 (d) 53
  32. 32.What is the remainder when 356 is divided by 8? (a) 3 (b) 5 (c) 6 (d) 4
  33. 33.If 6x + 26 = 116, what is x? (a) 90 (b) 15 (c) 14 (d) 16
  34. 34.Two ribbons are 12 cm and 15 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 60 cm (b) 12 cm (c) 1 cm (d) 3 cm
  35. 35.Two ribbons are 48 cm and 108 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 48 cm (b) 12 cm (c) 60 cm (d) 6 cm
  36. 36.A teacher has 15 pencils and 24 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) 1 (d) 15
  37. 37.Which is the greatest: 0.86, 0.8, 0.722, 0.052? (a) 0.86 (b) 0.8 (c) 0.722 (d) 0.052
  38. 38.If 7x + 9 = 4x + 45, what is x? (a) 12 (b) 18 (c) 14 (d) 13
  39. 39.What is 2/3 of 12? (a) 9 (b) 4 (c) 8 (d) 12
  40. 40.What is the average of all the whole numbers from 21 to 51? (a) 37 (b) 30 (c) 36 (d) 15

Answer key

  1. 15%
  2. Tuesday
  3. 2 years
  4. ₹1590
  5. 30
  6. 9
  7. 3 years
  8. 63
  9. Sunday
  10. 3
  11. ₹210
  12. 6
  13. 3/4
  14. Tuesday
  15. 66
  16. 44 cm
  17. 4
  18. 5/6
  19. 5%
  20. 54
  21. 40%
  22. 13
  23. ₹1080
  24. 5/11
  25. 19/12
  26. 30%
  27. 48
  28. 16
  29. 5/6
  30. 8
  31. 61
  32. 4
  33. 15
  34. 3 cm
  35. 12 cm
  36. 3
  37. 0.86
  38. 12
  39. 8
  40. 36

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