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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 376 · 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.Two ribbons are 50 cm and 80 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 30 cm (b) 5 cm (c) 10 cm (d) 50 cm
  2. 2.If 14 September is a Thursday, what day of the week is 13 October? (a) Friday (b) Sunday (c) Saturday (d) Thursday
  3. 3.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 10 cm (b) 6 cm (c) 24 cm (d) 5 cm
  4. 4.A shopkeeper buys a toy for ₹680 and sells it for ₹748. What is his profit percent? (a) 5% (b) 10% (c) 68% (d) 15%
  5. 5.Which is the smallest: 0.397, 0.43, 0.4, 0.068? (a) 0.397 (b) 0.43 (c) 0.4 (d) 0.068
  6. 6.If 15 June is a Saturday, what day of the week is 7 July? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
  7. 7.If 4x + 18 = x + 42, what is x? (a) 8 (b) 20 (c) 10 (d) 9
  8. 8.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 119 sq cm (d) 136 sq cm
  9. 9.If 5x + 4 = x + 28, what is x? (a) 7 (b) 4 (c) 8 (d) 6
  10. 10.If 4x + 3 = 3x + 14, what is x? (a) 17 (b) 12 (c) 11 (d) 13
  11. 11.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 43 (b) 42 (c) 47 (d) 95
  12. 12.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 17 cm (c) 30 cm (d) 22 cm
  13. 13.A shopkeeper buys a toy for ₹740 and sells it for ₹851. What is his profit percent? (a) 15% (b) 10% (c) 20% (d) 16%
  14. 14.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 135 min (b) 3 min (c) 45 min (d) 24 min
  15. 15.A bag marked ₹300 is sold at a 40% discount. What is its selling price? (a) ₹420 (b) ₹180 (c) ₹120 (d) ₹260
  16. 16.₹8000 is invested at 11% per year simple interest. What is the amount after 2 years? (a) ₹1760 (b) ₹9760 (c) ₹10640 (d) ₹8880
  17. 17.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 16 sq cm (c) 32 sq cm (d) 60 sq cm
  18. 18.What is the value of the digit 8 in 85.912? (a) 0.8 (b) 0.08 (c) 80 (d) 8
  19. 19.What is the value of the digit 5 in 21.935? (a) 0.05 (b) 0.5 (c) 0.005 (d) 5
  20. 20.1.02 + 4.4 = ? (a) 5.52 (b) 1.46 (c) 5.42 (d) 5.32
  21. 21.3.85 + 9.5 = ? (a) 4.8 (b) 13.45 (c) 13.25 (d) 13.35
  22. 22.Every pair follows the same rule: 1 : 1, 4 : 64, 5 : 125. What is 6 : ? (a) 6 (b) 216 (c) 217 (d) 186
  23. 23.Today is Friday. What day of the week will it be after 24 days? (a) Sunday (b) Wednesday (c) Monday (d) Tuesday
  24. 24.What is the simple interest on ₹7000 at 9% per year for 4 years? (a) ₹630 (b) ₹3150 (c) ₹2520 (d) ₹9520
  25. 25.Every pair follows the same rule: 2 : 17, 6 : 33, 8 : 41. What is 3 : ? (a) 20 (b) 22 (c) 21 (d) 18
  26. 26.Every pair follows the same rule: 3 : 9, 5 : 25, 7 : 49. What is 9 : ? (a) 27 (b) 73 (c) 81 (d) 15
  27. 27.Every pair follows the same rule: 2 : 1, 7 : 46, 8 : 61. What is 5 : ? (a) 21 (b) 16 (c) 22 (d) 23
  28. 28.Every pair follows the same rule: 3 : 14, 5 : 22, 8 : 34. What is 9 : ? (a) 39 (b) 20 (c) 37 (d) 38
  29. 29.Which is the greatest: 0.095, 0.754, 0.8, 0.83? (a) 0.095 (b) 0.754 (c) 0.8 (d) 0.83
  30. 30.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 27 days (b) 4 days (c) 3 days (d) 15 days
  31. 31.If x/6 + 2 = 5, what is x? (a) 3 (b) 42 (c) 28 (d) 18
  32. 32.What is 6/7 of 21? (a) 19 (b) 3 (c) 18 (d) 21
  33. 33.If 1 December is a Friday, what day of the week is 10 December? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
  34. 34.In how many years will ₹10000 earn ₹1600 simple interest at 4% per year? (a) 8 years (b) 5 years (c) 4 years (d) 3 years
  35. 35.What is the average of 48, 61, 47 and 56? (a) 55 (b) 53 (c) 54 (d) 52
  36. 36.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 45 cm (b) 26 cm (c) 52 cm (d) 133 cm
  37. 37.Which of these numbers is divisible by 4? (a) 916 (b) 919 (c) 923 (d) 915
  38. 38.Every pair follows the same rule: 3 : 11, 5 : 21, 6 : 26. What is 2 : ? (a) 5 (b) 7 (c) 10 (d) 6
  39. 39.A shopkeeper buys a toy for ₹500 and sells it for ₹425. What is his loss percent? (a) 75% (b) 10% (c) 20% (d) 15%
  40. 40.1.11 + 6.8 = ? (a) 7.91 (b) 7.81 (c) 1.79 (d) 8.01

Answer key

  1. 10 cm
  2. Friday
  3. 5 cm
  4. 10%
  5. 0.068
  6. Sunday
  7. 8
  8. 119 sq cm
  9. 6
  10. 11
  11. 42
  12. 22 cm
  13. 15%
  14. 45 min
  15. ₹180
  16. ₹9760
  17. 60 sq cm
  18. 80
  19. 0.005
  20. 5.42
  21. 13.35
  22. 216
  23. Monday
  24. ₹2520
  25. 21
  26. 81
  27. 22
  28. 38
  29. 0.83
  30. 3 days
  31. 18
  32. 18
  33. Sunday
  34. 4 years
  35. 53
  36. 52 cm
  37. 916
  38. 6
  39. 15%
  40. 7.91

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