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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 470 · 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 shopkeeper buys a toy for ₹940 and sells it for ₹893. What is his loss percent? (a) 47% (b) 6% (c) 5% (d) 10%
  2. 2.Which fraction is greater: 3/4 or 5/9? (a) They are equal (b) 5/9 (c) 3/4
  3. 3.If 4 March is a Saturday, what day of the week is 20 March? (a) Wednesday (b) Monday (c) Sunday (d) Tuesday
  4. 4.What is the simple interest on ₹5500 at 7% per year for 5 years? (a) ₹1925 (b) ₹385 (c) ₹2310 (d) ₹7425
  5. 5.1/2 + 1/2 = ? (a) 2 (b) 3/2 (c) 1/2 (d) 1
  6. 6.Which of these numbers is divisible by 3? (a) 1896 (b) 1900 (c) 1895 (d) 1897
  7. 7.8.78 + 8.5 = ? (a) 17.38 (b) 9.63 (c) 17.28 (d) 17.18
  8. 8.What is the value of the digit 8 in 86.234? (a) 0.8 (b) 0.08 (c) 8 (d) 80
  9. 9.2.03 + 8.5 = ? (a) 2.88 (b) 10.43 (c) 10.63 (d) 10.53
  10. 10.₹322 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹23 (b) ₹161 (c) ₹207 (d) ₹115
  11. 11.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 58 (b) 34 (c) 27 (d) 37
  12. 12.Which is the greatest: 0.75, 0.655, 0.7, 0.056? (a) 0.75 (b) 0.655 (c) 0.7 (d) 0.056
  13. 13.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 154 sq cm (d) 168 sq cm
  14. 14.A bag marked ₹620 is sold at a 10% discount. What is its selling price? (a) ₹610 (b) ₹558 (c) ₹682 (d) ₹62
  15. 15.What is 1/4 of 28? (a) 21 (b) 14 (c) 7 (d) 8
  16. 16.Which fraction is greater: 1/3 or 7/8? (a) 1/3 (b) 7/8 (c) They are equal
  17. 17.Every pair follows the same rule: 3 : 9, 5 : 25, 6 : 36. What is 4 : ? (a) 10 (b) 16 (c) 14 (d) 12
  18. 18.8.26 + 4.5 = ? (a) 12.66 (b) 8.71 (c) 12.76 (d) 12.86
  19. 19.Today is Wednesday. What day of the week will it be after 20 days? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
  20. 20.What is 25% of 800? (a) 600 (b) 400 (c) 2000 (d) 200
  21. 21.What is the average of 34, 27, 12 and 11? (a) 22 (b) 21 (c) 28 (d) 20
  22. 22.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 108 sq cm (b) 120 sq cm (c) 21 sq cm (d) 42 sq cm
  23. 23.2.35 + 9.2 = ? (a) 11.45 (b) 3.27 (c) 11.55 (d) 11.65
  24. 24.3/6 + 1/2 = ? (a) 5/6 (b) 7/6 (c) 1/2 (d) 1
  25. 25.Two bells ring every 10 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 250 min (b) 5 min (c) 35 min (d) 50 min
  26. 26.If x/6 + 2 = 14, what is x? (a) 12 (b) 96 (c) 82 (d) 72
  27. 27.Every pair follows the same rule: 2 : 4, 3 : 9, 4 : 16. What is 8 : ? (a) 16 (b) 44 (c) 64 (d) 10
  28. 28.6.38 + 8.1 = ? (a) 14.48 (b) 7.19 (c) 14.58 (d) 14.38
  29. 29.If 29 March is a Monday, what day of the week is 4 April? (a) Monday (b) Sunday (c) Tuesday (d) Saturday
  30. 30.If x/2 + 5 = 9, what is x? (a) 4 (b) 28 (c) 8 (d) 13
  31. 31.What is 2/9 of 90? (a) 20 (b) 10 (c) 70 (d) 30
  32. 32.The simple interest on ₹1000 for 4 years is ₹360. What is the rate per year? (a) 9% (b) 10% (c) 36% (d) 8%
  33. 33.A teacher has 36 pencils and 60 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 6 (c) 36 (d) 12
  34. 34.If x/5 + 1 = 5, what is x? (a) 4 (b) 20 (c) 30 (d) 24
  35. 35.If 9x − 27 = 72, what is x? (a) 12 (b) 99 (c) 5 (d) 11
  36. 36.If 1 December is a Tuesday, what day of the week is 11 December? (a) Saturday (b) Sunday (c) Thursday (d) Friday
  37. 37.A shopkeeper buys a toy for ₹160 and sells it for ₹200. What is his profit percent? (a) 40% (b) 20% (c) 25% (d) 30%
  38. 38.₹7500 is invested at 10% per year simple interest. What is the amount after 5 years? (a) ₹3750 (b) ₹12000 (c) ₹8250 (d) ₹11250
  39. 39.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 54 min (b) 6 min (c) 504 min (d) 84 min
  40. 40.What is the remainder when 260 is divided by 6? (a) 4 (b) 3 (c) 1 (d) 2

Answer key

  1. 5%
  2. 3/4
  3. Monday
  4. ₹1925
  5. 1
  6. 1896
  7. 17.28
  8. 80
  9. 10.53
  10. ₹207
  11. 58
  12. 0.75
  13. 154 sq cm
  14. ₹558
  15. 7
  16. 7/8
  17. 16
  18. 12.76
  19. Tuesday
  20. 200
  21. 21
  22. 108 sq cm
  23. 11.55
  24. 1
  25. 50 min
  26. 72
  27. 64
  28. 14.48
  29. Sunday
  30. 8
  31. 20
  32. 9%
  33. 12
  34. 20
  35. 11
  36. Friday
  37. 25%
  38. ₹11250
  39. 84 min
  40. 2

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