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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 226 · 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: 1/5 or 1/6? (a) They are equal (b) 1/6 (c) 1/5
  2. 2.What is the units digit of 4^44? (a) 5 (b) 7 (c) 6 (d) 4
  3. 3.Which is the greatest: 0.723, 0.8, 0.87, 0.086? (a) 0.723 (b) 0.8 (c) 0.87 (d) 0.086
  4. 4.5/9 + 2/3 = ? (a) 4/3 (b) 7/12 (c) 11/9 (d) 10/9
  5. 5.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 45 cm (b) 52 cm (c) 133 cm (d) 26 cm
  6. 6.If 8x − 42 = 22, what is x? (a) 7 (b) 9 (c) 64 (d) 8
  7. 7.If 7 August is a Monday, what day of the week is 18 August? (a) Saturday (b) Thursday (c) Sunday (d) Friday
  8. 8.What is 1/5 of 20? (a) 8 (b) 4 (c) 16 (d) 5
  9. 9.If 24 November is a Wednesday, what day of the week is 7 December? (a) Monday (b) Tuesday (c) Wednesday (d) Thursday
  10. 10.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 30 (b) 90 (c) 44 (d) 31
  11. 11.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 19 sq cm (c) 38 sq cm (d) 64 sq cm
  12. 12.If 4x − 23 = 21, what is x? (a) 11 (b) 12 (c) 44 (d) 10
  13. 13.In how many years will ₹3500 earn ₹210 simple interest at 2% per year? (a) 6 years (b) 2 years (c) 4 years (d) 3 years
  14. 14.Today is Wednesday. What day of the week will it be after 35 days? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
  15. 15.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 20 (b) 55 (c) 45 (d) 30
  16. 16.What is the simple interest on ₹4500 at 9% per year for 4 years? (a) ₹2025 (b) ₹405 (c) ₹1620 (d) ₹6120
  17. 17.What is the smallest number of sweets that can be shared equally among 10 children or among 12 children, with none left over? (a) 61 (b) 22 (c) 120 (d) 60
  18. 18.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 67 (b) 36 (c) 25 (d) 56
  19. 19.Which is the greatest: 0.74, 0.058, 0.7, 0.613? (a) 0.74 (b) 0.058 (c) 0.7 (d) 0.613
  20. 20.₹4000 is invested at 5% per year simple interest. What is the amount after 4 years? (a) ₹800 (b) ₹4200 (c) ₹5000 (d) ₹4800
  21. 21.Every pair follows the same rule: 3 : 27, 4 : 64, 6 : 216. What is 2 : ? (a) 8 (b) 26 (c) 9 (d) 18
  22. 22.Today is Tuesday. What day of the week will it be after 51 days? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
  23. 23.What is 75% of 200? (a) 150 (b) 300 (c) 50 (d) 1500
  24. 24.What is the value of the digit 8 in 87.495? (a) 0.8 (b) 8 (c) 80 (d) 0.08
  25. 25.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 68 cm (b) 38 cm (c) 42 cm (d) 21 cm
  26. 26.The simple interest on ₹4500 for 5 years is ₹1125. What is the rate per year? (a) 6% (b) 4% (c) 5% (d) 25%
  27. 27.Which of these numbers is divisible by 6? (a) 799 (b) 792 (c) 790 (d) 793
  28. 28.Which fraction is greater: 4/5 or 7/8? (a) 7/8 (b) They are equal (c) 4/5
  29. 29.If x/6 + 4 = 15, what is x? (a) 11 (b) 66 (c) 114 (d) 86
  30. 30.If 11 January is a Monday, what day of the week is 20 January? (a) Wednesday (b) Friday (c) Tuesday (d) Thursday
  31. 31.Today is Wednesday. What day of the week will it be after 52 days? (a) Friday (b) Saturday (c) Sunday (d) Monday
  32. 32.What is the value of the digit 2 in 27.598? (a) 0.2 (b) 0.02 (c) 20 (d) 2
  33. 33.₹66 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹33 (b) ₹48 (c) ₹6 (d) ₹18
  34. 34.3.76 + 2.7 = ? (a) 6.56 (b) 4.03 (c) 6.46 (d) 6.36
  35. 35.2.17 + 8.3 = ? (a) 10.47 (b) 3 (c) 10.57 (d) 10.37
  36. 36.What is the value of the digit 3 in 81.793? (a) 0.3 (b) 0.03 (c) 3 (d) 0.003
  37. 37.Which is the greatest: 0.455, 0.53, 0.019, 0.5? (a) 0.455 (b) 0.53 (c) 0.019 (d) 0.5
  38. 38.What is the smallest number you must add to 236 to make it divisible by 3? (a) 1 (b) 2
  39. 39.Two ribbons are 22 cm and 55 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 22 cm (b) 1 cm (c) 33 cm (d) 11 cm
  40. 40.If 2 kites cost ₹46, how much do 3 kites cost? (a) ₹47 (b) ₹138 (c) ₹92 (d) ₹69

Answer key

  1. 1/5
  2. 6
  3. 0.87
  4. 11/9
  5. 52 cm
  6. 8
  7. Friday
  8. 4
  9. Tuesday
  10. 30
  11. 48 sq cm
  12. 11
  13. 3 years
  14. Wednesday
  15. 45
  16. ₹1620
  17. 60
  18. 56
  19. 0.74
  20. ₹4800
  21. 8
  22. Thursday
  23. 150
  24. 80
  25. 42 cm
  26. 5%
  27. 792
  28. 7/8
  29. 66
  30. Wednesday
  31. Saturday
  32. 20
  33. ₹48
  34. 6.46
  35. 10.47
  36. 0.003
  37. 0.53
  38. 1
  39. 11 cm
  40. ₹69

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