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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 897 · 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 rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 156 cm (d) 38 cm
  2. 2.If 1 January is a Sunday, what day of the week is 13 January? (a) Friday (b) Thursday (c) Saturday (d) Sunday
  3. 3.What is 5% of 120? (a) 6 (b) 12 (c) 114 (d) 60
  4. 4.1.71 + 7.1 = ? (a) 8.71 (b) 2.42 (c) 8.81 (d) 8.91
  5. 5.Which fraction is greater: 5/9 or 3/4? (a) They are equal (b) 3/4 (c) 5/9
  6. 6.₹552 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹230 (b) ₹322 (c) ₹46 (d) ₹276
  7. 7.If 4x + 30 = 58, what is x? (a) 8 (b) 28 (c) 22 (d) 7
  8. 8.If 6 pens cost ₹132, how much do 7 pens cost? (a) ₹133 (b) ₹176 (c) ₹154 (d) ₹924
  9. 9.A bag marked ₹1200 is sold at a 40% discount. What is its selling price? (a) ₹1680 (b) ₹480 (c) ₹720 (d) ₹1160
  10. 10.Two bells ring every 12 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 360 min (c) 60 min (d) 42 min
  11. 11.Two ribbons are 36 cm and 45 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 9 cm (b) 36 cm (c) 3 cm (d) 180 cm
  12. 12.Which fraction is greater: 3/4 or 4/9? (a) They are equal (b) 3/4 (c) 4/9
  13. 13.Every pair follows the same rule: 3 : 15, 7 : 35, 8 : 40. What is 2 : ? (a) 10 (b) 9 (c) 14 (d) 11
  14. 14.Today is Wednesday. What day of the week will it be after 49 days? (a) Tuesday (b) Wednesday (c) Thursday (d) Friday
  15. 15.If 9 March is a Tuesday, what day of the week is 17 March? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday
  16. 16.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 33 (b) 17 (c) 21 (d) 5
  17. 17.A shopkeeper buys a toy for ₹740 and sells it for ₹888. What is his profit percent? (a) 20% (b) 15% (c) 25% (d) 21%
  18. 18.If 7 May is a Tuesday, what day of the week is 19 May? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
  19. 19.3.06 + 1.2 = ? (a) 3.18 (b) 4.16 (c) 4.26 (d) 4.36
  20. 20.Two ribbons are 15 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 9 cm (c) 15 cm (d) 3 cm
  21. 21.What is the remainder when 85 is divided by 6? (a) 0 (b) 2 (c) 1 (d) 5
  22. 22.Every pair follows the same rule: 2 : 19, 3 : 24, 7 : 44. What is 6 : ? (a) 40 (b) 23 (c) 39 (d) 38
  23. 23.If 7x + 3 = 108, what is x? (a) 14 (b) 105 (c) 16 (d) 15
  24. 24.In how many years will ₹8000 earn ₹720 simple interest at 3% per year? (a) 2 years (b) 6 years (c) 4 years (d) 3 years
  25. 25.4.25 + 5.2 = ? (a) 9.35 (b) 4.77 (c) 9.55 (d) 9.45
  26. 26.4/8 + 3/8 = ? (a) 1 (b) 7/16 (c) 3/4 (d) 7/8
  27. 27.What is 2/3 of 6? (a) 2 (b) 5 (c) 6 (d) 4
  28. 28.A bag marked ₹1360 is sold at a 40% discount. What is its selling price? (a) ₹816 (b) ₹1904 (c) ₹544 (d) ₹1320
  29. 29.What is the remainder when 62 is divided by 5? (a) 2 (b) 1 (c) 4 (d) 3
  30. 30.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 2 : ? (a) 7 (b) 2 (c) 8 (d) 9
  31. 31.Every pair follows the same rule: 2 : 2, 5 : 23, 6 : 34. What is 7 : ? (a) 48 (b) 45 (c) 7 (d) 47
  32. 32.If x/5 + 10 = 14, what is x? (a) 4 (b) 20 (c) 120 (d) 60
  33. 33.If 7x − 8 = 6, what is x? (a) 2 (b) 3 (c) 14 (d) 1
  34. 34.If 5x − 3 = 22, what is x? (a) 6 (b) 25 (c) 5 (d) 4
  35. 35.If 1 August is a Wednesday, what day of the week is 13 August? (a) Monday (b) Sunday (c) Tuesday (d) Wednesday
  36. 36.Which is the smallest: 0.63, 0.569, 0.019, 0.6? (a) 0.63 (b) 0.569 (c) 0.019 (d) 0.6
  37. 37.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 55 (c) 49 (d) 12
  38. 38.Every pair follows the same rule: 3 : 14, 4 : 21, 5 : 30. What is 2 : ? (a) 3 (b) 10 (c) 13 (d) 9
  39. 39.2.07 + 5.9 = ? (a) 7.87 (b) 2.66 (c) 7.97 (d) 8.07
  40. 40.If 2 kites cost ₹28, how much do 7 kites cost? (a) ₹112 (b) ₹33 (c) ₹98 (d) ₹196

Answer key

  1. 50 cm
  2. Friday
  3. 6
  4. 8.81
  5. 3/4
  6. ₹322
  7. 7
  8. ₹154
  9. ₹720
  10. 60 min
  11. 9 cm
  12. 3/4
  13. 10
  14. Wednesday
  15. Wednesday
  16. 21
  17. 20%
  18. Sunday
  19. 4.26
  20. 3 cm
  21. 1
  22. 39
  23. 15
  24. 3 years
  25. 9.45
  26. 7/8
  27. 4
  28. ₹816
  29. 2
  30. 8
  31. 47
  32. 20
  33. 2
  34. 5
  35. Monday
  36. 0.019
  37. 55
  38. 9
  39. 7.97
  40. ₹98

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