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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 740 · 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.If 12 March is a Saturday, what day of the week is 28 March? (a) Monday (b) Sunday (c) Wednesday (d) Tuesday
  2. 2.A shopkeeper buys a toy for ₹860 and sells it for ₹903. What is his profit percent? (a) 6% (b) 5% (c) 10% (d) 43%
  3. 3.3/4 + 5/7 = ? (a) 10/7 (b) 41/28 (c) 8/11 (d) 3/2
  4. 4.Every pair follows the same rule: 3 : 9, 4 : 16, 7 : 49. What is 2 : ? (a) 5 (b) 6 (c) 8 (d) 4
  5. 5.What is the value of the digit 1 in 41.256? (a) 1 (b) 0.01 (c) 10 (d) 0.1
  6. 6.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 48 (b) 33 (c) 32 (d) 100
  7. 7.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) 15 (b) 3 (c) 9 (d) 1
  8. 8.A teacher has 9 pencils and 15 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) 6 (d) 1
  9. 9.What is 30% of 440? (a) 308 (b) 132 (c) 264 (d) 1320
  10. 10.Which fraction is greater: 10/11 or 9/10? (a) They are equal (b) 10/11 (c) 9/10
  11. 11.Which fraction is greater: 3/5 or 5/11? (a) They are equal (b) 5/11 (c) 3/5
  12. 12.Every pair follows the same rule: 1 : 1, 2 : 8, 5 : 125. What is 6 : ? (a) 6 (b) 164 (c) 217 (d) 216
  13. 13.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 48 (b) 33 (c) 27 (d) 69
  14. 14.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 40 cm (c) 20 cm (d) 75 cm
  15. 15.Which fraction is greater: 4/9 or 2/3? (a) They are equal (b) 4/9 (c) 2/3
  16. 16.What is the average of all the whole numbers from 28 to 66? (a) 47 (b) 19 (c) 48 (d) 38
  17. 17.If 13 March is a Tuesday, what day of the week is 18 April? (a) Wednesday (b) Tuesday (c) Thursday (d) Friday
  18. 18.Which of these numbers is divisible by 6? (a) 4644 (b) 4654 (c) 4648 (d) 4641
  19. 19.What is 1/2 of 20? (a) 9 (b) 10 (c) 20 (d) 11
  20. 20.What is the simple interest on ₹7500 at 5% per year for 3 years? (a) ₹375 (b) ₹8625 (c) ₹1500 (d) ₹1125
  21. 21.Every pair follows the same rule: 2 : 4, 5 : 10, 6 : 12. What is 3 : ? (a) 6 (b) 8 (c) 7 (d) 5
  22. 22.Two bells ring every 20 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 48 min (b) 560 min (c) 140 min (d) 4 min
  23. 23.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
  24. 24.₹8500 is invested at 4% per year simple interest. What is the amount after 4 years? (a) ₹1360 (b) ₹9860 (c) ₹8840 (d) ₹10200
  25. 25.Which is the greatest: 0.244, 0.3, 0.36, 0.034? (a) 0.244 (b) 0.3 (c) 0.36 (d) 0.034
  26. 26.What is 1/2 of 4? (a) 2 (b) 1 (c) 4 (d) 3
  27. 27.What is the smallest number of sweets that can be shared equally among 18 children or among 24 children, with none left over? (a) 144 (b) 42 (c) 72 (d) 432
  28. 28.Every pair follows the same rule: 4 : 16, 7 : 49, 8 : 64. What is 9 : ? (a) 21 (b) 79 (c) 36 (d) 81
  29. 29.In how many years will ₹8500 earn ₹850 simple interest at 5% per year? (a) 2 years (b) 3 years (c) 4 years (d) 1 year
  30. 30.Every pair follows the same rule: 4 : 12, 8 : 16, 9 : 17. What is 2 : ? (a) 11 (b) 6 (c) 9 (d) 10
  31. 31.Every pair follows the same rule: 2 : 6, 8 : 24, 9 : 27. What is 3 : ? (a) 9 (b) 10 (c) 8 (d) 7
  32. 32.Which fraction is greater: 2/7 or 1/4? (a) They are equal (b) 1/4 (c) 2/7
  33. 33.Every pair follows the same rule: 2 : 2, 3 : 7, 7 : 47. What is 4 : ? (a) 4 (b) 17 (c) 14 (d) 15
  34. 34.If 4x + 15 = x + 36, what is x? (a) 17 (b) 9 (c) 8 (d) 7
  35. 35.If 3x − 9 = 3, what is x? (a) 3 (b) 5 (c) 4 (d) 12
  36. 36.If 15 December is a Monday, what day of the week is 29 December? (a) Tuesday (b) Wednesday (c) Sunday (d) Monday
  37. 37.What is 4/7 of 35? (a) 20 (b) 15 (c) 5 (d) 25
  38. 38.What is the average of 70, 67, 59, 70 and 39? (a) 63 (b) 60 (c) 61 (d) 62
  39. 39.What is the value of the digit 8 in 57.483? (a) 0.8 (b) 0.08 (c) 0.008 (d) 8
  40. 40.The simple interest on ₹7500 for 3 years is ₹450. What is the rate per year? (a) 3% (b) 1% (c) 2% (d) 6%

Answer key

  1. Monday
  2. 5%
  3. 41/28
  4. 4
  5. 1
  6. 32
  7. 3
  8. 3
  9. 132
  10. 10/11
  11. 3/5
  12. 216
  13. 69
  14. 40 cm
  15. 2/3
  16. 47
  17. Wednesday
  18. 4644
  19. 10
  20. ₹1125
  21. 6
  22. 140 min
  23. 25 sq cm
  24. ₹9860
  25. 0.36
  26. 2
  27. 72
  28. 81
  29. 2 years
  30. 10
  31. 9
  32. 2/7
  33. 14
  34. 7
  35. 4
  36. Monday
  37. 20
  38. 61
  39. 0.08
  40. 2%

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