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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 956 · 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.The simple interest on ₹2000 for 2 years is ₹200. What is the rate per year? (a) 4% (b) 10% (c) 5% (d) 6%
  2. 2.Two ribbons are 27 cm and 36 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 27 cm (b) 108 cm (c) 3 cm (d) 9 cm
  3. 3.What is 1/7 of 63? (a) 9 (b) 10 (c) 54 (d) 18
  4. 4.If 26 May is a Wednesday, what day of the week is 9 June? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
  5. 5.If 6 pens cost ₹30, how much do 11 pens cost? (a) ₹55 (b) ₹60 (c) ₹330 (d) ₹35
  6. 6.Today is Sunday. What day of the week will it be after 49 days? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
  7. 7.If 9 mangoes cost ₹72, how much do 8 mangoes cost? (a) ₹72 (b) ₹71 (c) ₹576 (d) ₹64
  8. 8.Every pair follows the same rule: 3 : 14, 4 : 21, 9 : 86. What is 8 : ? (a) 19 (b) 73 (c) 69 (d) 70
  9. 9.6.76 + 9.7 = ? (a) 7.73 (b) 16.36 (c) 16.46 (d) 16.56
  10. 10.Which of these numbers is divisible by 9? (a) 1941 (b) 1935 (c) 1950 (d) 1931
  11. 11.Today is Sunday. What day of the week will it be after 72 days? (a) Tuesday (b) Monday (c) Thursday (d) Wednesday
  12. 12.If 4 notebooks cost ₹68, how much do 2 notebooks cost? (a) ₹51 (b) ₹34 (c) ₹136 (d) ₹66
  13. 13.Which of these numbers is divisible by 11? (a) 9417 (b) 9408 (c) 9395 (d) 9405
  14. 14.Every pair follows the same rule: 2 : 5, 5 : 11, 8 : 17. What is 7 : ? (a) 16 (b) 14 (c) 15 (d) 10
  15. 15.If 3x + 29 = 74, what is x? (a) 15 (b) 14 (c) 16 (d) 45
  16. 16.4.37 + 2.5 = ? (a) 4.62 (b) 6.87 (c) 6.97 (d) 6.77
  17. 17.Which fraction is greater: 2/5 or 6/7? (a) 6/7 (b) They are equal (c) 2/5
  18. 18.What is the smallest number of sweets that can be shared equally among 9 children or among 15 children, with none left over? (a) 90 (b) 45 (c) 24 (d) 135
  19. 19.What is the average of 44, 66, 39 and 63? (a) 53 (b) 54 (c) 52 (d) 55
  20. 20.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 96 min (b) 4 min (c) 20 min (d) 24 min
  21. 21.What is 1/4 of 20? (a) 15 (b) 10 (c) 6 (d) 5
  22. 22.Which fraction is greater: 2/9 or 1/5? (a) 1/5 (b) 2/9 (c) They are equal
  23. 23.3/5 + 2/7 = ? (a) 31/35 (b) 6/7 (c) 5/12 (d) 32/35
  24. 24.What is the simple interest on ₹9500 at 3% per year for 5 years? (a) ₹10925 (b) ₹285 (c) ₹1710 (d) ₹1425
  25. 25.What is 8/9 of 54? (a) 48 (b) 6 (c) 49 (d) 54
  26. 26.A shopkeeper buys a toy for ₹680 and sells it for ₹1020. What is his profit percent? (a) 51% (b) 55% (c) 45% (d) 50%
  27. 27.What is the average of 34, 18, 14 and 46? (a) 28 (b) 29 (c) 30 (d) 27
  28. 28.What is the value of the digit 2 in 84.297? (a) 0.002 (b) 2 (c) 0.2 (d) 0.02
  29. 29.What is the simple interest on ₹2000 at 2% per year for 4 years? (a) ₹200 (b) ₹2160 (c) ₹160 (d) ₹40
  30. 30.If 7 mangoes cost ₹28, how much do 4 mangoes cost? (a) ₹25 (b) ₹112 (c) ₹16 (d) ₹20
  31. 31.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 13 (b) 10 (c) 12 (d) 24
  32. 32.What is 5% of 440? (a) 418 (b) 220 (c) 44 (d) 22
  33. 33.What is 50% of 640? (a) 3200 (b) 321 (c) 320 (d) 640
  34. 34.What is the units digit of 8^12? (a) 6 (b) 8 (c) 4 (d) 2
  35. 35.What is the average of all the whole numbers from 34 to 74? (a) 40 (b) 55 (c) 54 (d) 20
  36. 36.If 2 August is a Saturday, what day of the week is 15 August? (a) Saturday (b) Thursday (c) Sunday (d) Friday
  37. 37.Every pair follows the same rule: 4 : 14, 7 : 47, 8 : 62. What is 3 : ? (a) 13 (b) 6 (c) 8 (d) 7
  38. 38.1/3 + 1/2 = ? (a) 1 (b) 5/6 (c) 2/5 (d) 2/3
  39. 39.Today is Friday. What day of the week will it be after 60 days? (a) Tuesday (b) Monday (c) Thursday (d) Wednesday
  40. 40.Which of these numbers is divisible by 11? (a) 1344 (b) 1358 (c) 1353 (d) 1373

Answer key

  1. 5%
  2. 9 cm
  3. 9
  4. Wednesday
  5. ₹55
  6. Sunday
  7. ₹64
  8. 69
  9. 16.46
  10. 1935
  11. Tuesday
  12. ₹34
  13. 9405
  14. 15
  15. 15
  16. 6.87
  17. 6/7
  18. 45
  19. 53
  20. 24 min
  21. 5
  22. 2/9
  23. 31/35
  24. ₹1425
  25. 48
  26. 50%
  27. 28
  28. 0.2
  29. ₹160
  30. ₹16
  31. 12
  32. 22
  33. 320
  34. 6
  35. 54
  36. Friday
  37. 7
  38. 5/6
  39. Tuesday
  40. 1353

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