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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 355 · 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.Two bells ring every 16 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 80 min (c) 320 min (d) 4 min
  2. 2.A shopkeeper buys a toy for ₹920 and sells it for ₹1104. What is his profit percent? (a) 15% (b) 21% (c) 25% (d) 20%
  3. 3.8.33 + 8.1 = ? (a) 16.43 (b) 16.33 (c) 9.14 (d) 16.53
  4. 4.A shopkeeper buys a toy for ₹820 and sells it for ₹574. What is his loss percent? (a) 31% (b) 30% (c) 25% (d) 35%
  5. 5.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 33 sq cm (c) 14 sq cm (d) 28 sq cm
  6. 6.What is the value of the digit 9 in 57.829? (a) 0.09 (b) 0.9 (c) 9 (d) 0.009
  7. 7.If 4 March is a Wednesday, what day of the week is 20 March? (a) Thursday (b) Friday (c) Sunday (d) Saturday
  8. 8.If 3 December is a Wednesday, what day of the week is 19 December? (a) Saturday (b) Thursday (c) Friday (d) Sunday
  9. 9.Which of these numbers is divisible by 8? (a) 3734 (b) 3736 (c) 3741 (d) 3750
  10. 10.What is the average of 55, 78, 64, 78, 73 and 30? (a) 64 (b) 62 (c) 65 (d) 63
  11. 11.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 60 sq cm (c) 36 sq cm (d) 45 sq cm
  12. 12.Today is Monday. What day of the week will it be after 57 days? (a) Wednesday (b) Monday (c) Thursday (d) Tuesday
  13. 13.What is 1/5 of 15? (a) 6 (b) 4 (c) 3 (d) 12
  14. 14.A batter has an average of 53 runs in 6 matches. How many runs are needed in the next match to raise the average to 57? (a) 28 (b) 81 (c) 57 (d) 61
  15. 15.Two bells ring every 12 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 336 min (b) 40 min (c) 4 min (d) 84 min
  16. 16.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 27 cm (c) 30 cm (d) 36 cm
  17. 17.Every pair follows the same rule: 2 : 12, 7 : 17, 8 : 18. What is 4 : ? (a) 15 (b) 13 (c) 24 (d) 14
  18. 18.If 29 January is a Thursday, what day of the week is 15 February? (a) Sunday (b) Saturday (c) Monday (d) Tuesday
  19. 19.If 3 notebooks cost ₹57, how much do 4 notebooks cost? (a) ₹58 (b) ₹228 (c) ₹95 (d) ₹76
  20. 20.₹180 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹90 (b) ₹72 (c) ₹36 (d) ₹108
  21. 21.If 15 October is a Wednesday, what day of the week is 27 October? (a) Wednesday (b) Sunday (c) Monday (d) Tuesday
  22. 22.The simple interest on ₹3500 for 5 years is ₹1400. What is the rate per year? (a) 7% (b) 8% (c) 9% (d) 40%
  23. 23.If 8x + 18 = 3x + 53, what is x? (a) 6 (b) 7 (c) 9 (d) 8
  24. 24.Every pair follows the same rule: 2 : 4, 4 : 16, 9 : 81. What is 5 : ? (a) 25 (b) 7 (c) 29 (d) 10
  25. 25.8.97 + 3.5 = ? (a) 12.47 (b) 12.57 (c) 9.32 (d) 12.37
  26. 26.If 26 July is a Sunday, what day of the week is 1 August? (a) Saturday (b) Monday (c) Friday (d) Sunday
  27. 27.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 19 cm (b) 36 cm (c) 34 cm (d) 38 cm
  28. 28.If 29 March is a Sunday, what day of the week is 2 April? (a) Saturday (b) Friday (c) Wednesday (d) Thursday
  29. 29.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 150 (b) 25 (c) 60 (d) 30
  30. 30.A teacher has 20 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 25 (c) 1 (d) 20
  31. 31.The simple interest on ₹7000 for 3 years is ₹1680. What is the rate per year? (a) 24% (b) 9% (c) 7% (d) 8%
  32. 32.1/3 + 2/4 = ? (a) 5/6 (b) 3/4 (c) 3/7 (d) 11/12
  33. 33.Which of these numbers is divisible by 8? (a) 4404 (b) 4414 (c) 4400 (d) 4395
  34. 34.5.61 + 2.1 = ? (a) 7.61 (b) 7.71 (c) 7.81 (d) 5.82
  35. 35.If 6x + 4 = 94, what is x? (a) 16 (b) 90 (c) 14 (d) 15
  36. 36.What is 1/3 of 15? (a) 10 (b) 6 (c) 5 (d) 4
  37. 37.1/2 + 2/5 = ? (a) 4/5 (b) 1 (c) 3/7 (d) 9/10
  38. 38.₹2000 is invested at 5% per year simple interest. What is the amount after 5 years? (a) ₹2600 (b) ₹500 (c) ₹2500 (d) ₹2100
  39. 39.What is the average of all the whole numbers from 23 to 49? (a) 26 (b) 36 (c) 13 (d) 37
  40. 40.A teacher has 25 pencils and 30 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 150 (b) 25 (c) 5 (d) 1

Answer key

  1. 80 min
  2. 20%
  3. 16.43
  4. 30%
  5. 33 sq cm
  6. 0.009
  7. Friday
  8. Friday
  9. 3736
  10. 63
  11. 45 sq cm
  12. Tuesday
  13. 3
  14. 81
  15. 84 min
  16. 30 cm
  17. 14
  18. Sunday
  19. ₹76
  20. ₹108
  21. Monday
  22. 8%
  23. 7
  24. 25
  25. 12.47
  26. Saturday
  27. 38 cm
  28. Thursday
  29. 30
  30. 5
  31. 8%
  32. 5/6
  33. 4400
  34. 7.71
  35. 15
  36. 5
  37. 9/10
  38. ₹2500
  39. 36
  40. 5

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