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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 827 · 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.What is the value of the digit 2 in 26.453? (a) 0.2 (b) 0.02 (c) 20 (d) 2
  2. 2.Which fraction is greater: 5/6 or 1/7? (a) 1/7 (b) They are equal (c) 5/6
  3. 3.6 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 33 days (b) 7 days (c) 15 days (d) 34 days
  4. 4.Which fraction is greater: 2/3 or 4/11? (a) They are equal (b) 4/11 (c) 2/3
  5. 5.Today is Saturday. What day of the week will it be after 27 days? (a) Saturday (b) Thursday (c) Friday (d) Sunday
  6. 6.A teacher has 55 pencils and 88 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 55 (b) 33 (c) 11 (d) 1
  7. 7.If 17 June is a Thursday, what day of the week is 18 July? (a) Saturday (b) Tuesday (c) Monday (d) Sunday
  8. 8.What is the units digit of 9^45? (a) 9 (b) 8 (c) 1 (d) 7
  9. 9.Which fraction is greater: 1/6 or 8/9? (a) 1/6 (b) 8/9 (c) They are equal
  10. 10.What is the average of 59, 80, 57 and 92? (a) 96 (b) 73 (c) 71 (d) 72
  11. 11.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 32 (c) 67 (d) 51
  12. 12.Today is Monday. What day of the week will it be after 78 days? (a) Tuesday (b) Wednesday (c) Monday (d) Thursday
  13. 13.₹441 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹245 (b) ₹49 (c) ₹196 (d) ₹294
  14. 14.What is the remainder when 537 is divided by 9? (a) 5 (b) 3 (c) 7 (d) 6
  15. 15.A shopkeeper buys a toy for ₹720 and sells it for ₹504. What is his loss percent? (a) 31% (b) 30% (c) 25% (d) 35%
  16. 16.If 8x + 7 = 79, what is x? (a) 10 (b) 8 (c) 9 (d) 72
  17. 17.Every pair follows the same rule: 3 : 8, 4 : 15, 8 : 63. What is 2 : ? (a) 2 (b) 7 (c) 4 (d) 3
  18. 18.What is the value of the digit 3 in 32.845? (a) 0.03 (b) 30 (c) 0.3 (d) 3
  19. 19.What is the remainder when 37 is divided by 3? (a) 0 (b) 2 (c) 1
  20. 20.Two ribbons are 48 cm and 54 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 48 cm (c) 432 cm (d) 3 cm
  21. 21.A teacher has 56 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 504 (b) 7 (c) 56 (d) 1
  22. 22.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 26 min (b) 168 min (c) 84 min (d) 2 min
  23. 23.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 58 (b) 8 (c) 56 (d) 62
  24. 24.What is the simple interest on ₹4500 at 5% per year for 2 years? (a) ₹4950 (b) ₹225 (c) ₹450 (d) ₹675
  25. 25.What is the value of the digit 8 in 48.952? (a) 80 (b) 0.08 (c) 0.8 (d) 8
  26. 26.If 2x − 3 = 23, what is x? (a) 14 (b) 26 (c) 13 (d) 10
  27. 27.If 15 May is a Wednesday, what day of the week is 24 May? (a) Thursday (b) Sunday (c) Saturday (d) Friday
  28. 28.Which is the greatest: 0.54, 0.5, 0.419, 0.068? (a) 0.54 (b) 0.5 (c) 0.419 (d) 0.068
  29. 29.What is 1/4 of 8? (a) 3 (b) 4 (c) 2 (d) 6
  30. 30.If 5 kites cost ₹80, how much do 8 kites cost? (a) ₹144 (b) ₹128 (c) ₹83 (d) ₹640
  31. 31.3.14 + 9.6 = ? (a) 12.74 (b) 12.84 (c) 12.64 (d) 4.1
  32. 32.Every pair follows the same rule: 2 : 3, 4 : 9, 7 : 18. What is 6 : ? (a) 16 (b) 15 (c) 7 (d) 14
  33. 33.What is the remainder when 647 is divided by 8? (a) 1 (b) 6 (c) 7 (d) 5
  34. 34.Every pair follows the same rule: 4 : 16, 6 : 36, 7 : 49. What is 2 : ? (a) 5 (b) 8 (c) 4 (d) 14
  35. 35.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 15 (b) 59 (c) 47 (d) 50
  36. 36.If 8 pens cost ₹104, how much do 2 pens cost? (a) ₹39 (b) ₹26 (c) ₹208 (d) ₹98
  37. 37.7.37 + 7.5 = ? (a) 14.87 (b) 8.12 (c) 14.77 (d) 14.97
  38. 38.Two bells ring every 12 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 252 min (b) 3 min (c) 84 min (d) 33 min
  39. 39.If 4x − 26 = 34, what is x? (a) 2 (b) 15 (c) 60 (d) 16
  40. 40.₹112 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹40 (b) ₹8 (c) ₹72 (d) ₹56

Answer key

  1. 20
  2. 5/6
  3. 33 days
  4. 2/3
  5. Friday
  6. 11
  7. Sunday
  8. 9
  9. 8/9
  10. 72
  11. 67
  12. Tuesday
  13. ₹245
  14. 6
  15. 30%
  16. 9
  17. 3
  18. 30
  19. 1
  20. 6 cm
  21. 7
  22. 84 min
  23. 62
  24. ₹450
  25. 8
  26. 13
  27. Friday
  28. 0.54
  29. 2
  30. ₹128
  31. 12.74
  32. 15
  33. 7
  34. 4
  35. 59
  36. ₹26
  37. 14.87
  38. 84 min
  39. 15
  40. ₹72

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