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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 580 · 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.₹6000 is invested at 4% per year simple interest. What is the amount after 2 years? (a) ₹6720 (b) ₹6480 (c) ₹480 (d) ₹6240
  2. 2.In how many years will ₹8500 earn ₹1700 simple interest at 4% per year? (a) 4 years (b) 6 years (c) 10 years (d) 5 years
  3. 3.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 10 (c) 32 (d) 38
  4. 4.2/8 + 2/6 = ? (a) 7/12 (b) 13/24 (c) 2/7 (d) 5/8
  5. 5.If 22 April is a Sunday, what day of the week is 18 May? (a) Friday (b) Sunday (c) Thursday (d) Saturday
  6. 6.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 33 (c) 58 (d) 57
  7. 7.3.07 + 7.3 = ? (a) 10.47 (b) 3.8 (c) 10.27 (d) 10.37
  8. 8.Which of these numbers is divisible by 9? (a) 6222 (b) 6219 (c) 6214 (d) 6230
  9. 9.A shopkeeper buys a toy for ₹600 and sells it for ₹630. What is his profit percent? (a) 6% (b) 5% (c) 30% (d) 10%
  10. 10.Which is the smallest: 0.88, 0.068, 0.8, 0.731? (a) 0.88 (b) 0.068 (c) 0.8 (d) 0.731
  11. 11.2.79 + 4.1 = ? (a) 6.89 (b) 6.79 (c) 6.99 (d) 3.2
  12. 12.Today is Wednesday. What day of the week will it be after 72 days? (a) Saturday (b) Friday (c) Thursday (d) Sunday
  13. 13.What is the average of all the whole numbers from 58 to 64? (a) 6 (b) 62 (c) 3 (d) 61
  14. 14.What is the remainder when 495 is divided by 10? (a) 6 (b) 5 (c) 7 (d) 4
  15. 15.A teacher has 45 pencils and 81 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 9 (b) 36 (c) 3 (d) 45
  16. 16.A shopkeeper buys a toy for ₹200 and sells it for ₹150. What is his loss percent? (a) 30% (b) 50% (c) 20% (d) 25%
  17. 17.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 23 (b) 37 (c) 22 (d) 77
  18. 18.5.03 + 3.6 = ? (a) 8.73 (b) 8.63 (c) 8.53 (d) 5.39
  19. 19.6 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 3 days (b) 8 days (c) 2 days (d) 10 days
  20. 20.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 36 (b) 18 (c) 51 (d) 69
  21. 21.If 6x + 9 = 2x + 41, what is x? (a) 9 (b) 8 (c) 4 (d) 10
  22. 22.If 24 July is a Thursday, what day of the week is 17 August? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
  23. 23.Every pair follows the same rule: 2 : 13, 5 : 16, 9 : 20. What is 4 : ? (a) 17 (b) 14 (c) 15 (d) 16
  24. 24.What is the value of the digit 1 in 85.631? (a) 0.1 (b) 1 (c) 0.01 (d) 0.001
  25. 25.If 5x − 24 = 1, what is x? (a) 5 (b) 25 (c) 6 (d) 4
  26. 26.7.36 + 7.4 = ? (a) 14.66 (b) 8.1 (c) 14.76 (d) 14.86
  27. 27.What is the smallest number of sweets that can be shared equally among 8 children or among 14 children, with none left over? (a) 112 (b) 56 (c) 22 (d) 57
  28. 28.Every pair follows the same rule: 3 : 22, 4 : 23, 8 : 27. What is 7 : ? (a) 28 (b) 27 (c) 25 (d) 26
  29. 29.A shopkeeper buys a toy for ₹340 and sells it for ₹357. What is his profit percent? (a) 5% (b) 6% (c) 10% (d) 17%
  30. 30.A shopkeeper buys a toy for ₹340 and sells it for ₹425. What is his profit percent? (a) 25% (b) 85% (c) 30% (d) 20%
  31. 31.If 11 November is a Monday, what day of the week is 9 December? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
  32. 32.A teacher has 27 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 27 (b) 9 (c) 3 (d) 45
  33. 33.What is 40% of 180? (a) 144 (b) 72 (c) 720 (d) 108
  34. 34.1/3 + 1/2 = ? (a) 2/3 (b) 1 (c) 5/6 (d) 2/5
  35. 35.What is the units digit of 2^23? (a) 6 (b) 8 (c) 4 (d) 2
  36. 36.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 14 min (b) 20 min (c) 2 min (d) 40 min
  37. 37.What is the simple interest on ₹2500 at 12% per year for 3 years? (a) ₹300 (b) ₹900 (c) ₹1200 (d) ₹3400
  38. 38.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 119 cm (c) 41 cm (d) 48 cm
  39. 39.If 8x + 9 = 2x + 15, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  40. 40.What is the value of the digit 4 in 81.453? (a) 0.004 (b) 0.4 (c) 0.04 (d) 4

Answer key

  1. ₹6480
  2. 5 years
  3. 38
  4. 7/12
  5. Friday
  6. 57
  7. 10.37
  8. 6219
  9. 5%
  10. 0.068
  11. 6.89
  12. Friday
  13. 61
  14. 5
  15. 9
  16. 25%
  17. 22
  18. 8.63
  19. 2 days
  20. 51
  21. 8
  22. Sunday
  23. 15
  24. 0.001
  25. 5
  26. 14.76
  27. 56
  28. 26
  29. 5%
  30. 25%
  31. Monday
  32. 9
  33. 72
  34. 5/6
  35. 8
  36. 20 min
  37. ₹900
  38. 48 cm
  39. 1
  40. 0.4

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