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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 116 · 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.If 1 October is a Monday, what day of the week is 17 October? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
  2. 2.In how many years will ₹8000 earn ₹1600 simple interest at 4% per year? (a) 5 years (b) 4 years (c) 10 years (d) 6 years
  3. 3.Two ribbons are 24 cm and 30 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 24 cm (c) 120 cm (d) 6 cm
  4. 4.3.59 + 4.2 = ? (a) 7.89 (b) 4.01 (c) 7.79 (d) 7.69
  5. 5.What is 20% of 680? (a) 544 (b) 272 (c) 136 (d) 1360
  6. 6.Two bells ring every 12 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 32 min (c) 240 min (d) 60 min
  7. 7.₹6000 is invested at 12% per year simple interest. What is the amount after 4 years? (a) ₹6720 (b) ₹2880 (c) ₹9600 (d) ₹8880
  8. 8.If 4x + 8 = 2x + 18, what is x? (a) 6 (b) 7 (c) 13 (d) 5
  9. 9.In how many years will ₹1000 earn ₹300 simple interest at 6% per year? (a) 5 years (b) 10 years (c) 6 years (d) 4 years
  10. 10.What is 20% of 760? (a) 304 (b) 152 (c) 608 (d) 1520
  11. 11.What is the value of the digit 4 in 47.216? (a) 0.04 (b) 4 (c) 40 (d) 0.4
  12. 12.If 4x − 20 = 36, what is x? (a) 4 (b) 14 (c) 56 (d) 15
  13. 13.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 25? (a) 30 (b) 40 (c) 25 (d) 20
  14. 14.Two ribbons are 8 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 8 cm (b) 2 cm (c) 4 cm (d) 20 cm
  15. 15.A shopkeeper buys a toy for ₹500 and sells it for ₹625. What is his profit percent? (a) 20% (b) 26% (c) 30% (d) 25%
  16. 16.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 112 min (b) 22 min (c) 2 min (d) 56 min
  17. 17.In how many years will ₹2500 earn ₹350 simple interest at 7% per year? (a) 4 years (b) 3 years (c) 1 year (d) 2 years
  18. 18.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 21 (b) 2 (c) 1 (d) 46
  19. 19.Which is the greatest: 0.071, 0.64, 0.591, 0.6? (a) 0.071 (b) 0.64 (c) 0.591 (d) 0.6
  20. 20.What is the simple interest on ₹3000 at 4% per year for 5 years? (a) ₹720 (b) ₹3600 (c) ₹600 (d) ₹120
  21. 21.Two bells ring every 18 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 48 min (b) 90 min (c) 6 min (d) 540 min
  22. 22.The simple interest on ₹1500 for 5 years is ₹675. What is the rate per year? (a) 45% (b) 10% (c) 8% (d) 9%
  23. 23.What is the units digit of 2^21? (a) 4 (b) 8 (c) 2 (d) 6
  24. 24.What is the remainder when 475 is divided by 6? (a) 5 (b) 2 (c) 1 (d) 0
  25. 25.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 18 sq cm (b) 56 sq cm (c) 36 sq cm (d) 70 sq cm
  26. 26.Today is Thursday. What day of the week will it be after 89 days? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday
  27. 27.Today is Thursday. What day of the week will it be after 14 days? (a) Thursday (b) Friday (c) Saturday (d) Wednesday
  28. 28.Which fraction is greater: 5/7 or 1/6? (a) 5/7 (b) 1/6 (c) They are equal
  29. 29.What is the value of the digit 7 in 75.428? (a) 0.7 (b) 7 (c) 0.07 (d) 70
  30. 30.9.91 + 6.1 = ? (a) 10.52 (b) 16.11 (c) 16.01 (d) 15.91
  31. 31.If x/3 + 2 = 6, what is x? (a) 16 (b) 12 (c) 4 (d) 24
  32. 32.Two bells ring every 12 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 33 min (b) 3 min (c) 84 min (d) 252 min
  33. 33.What is the simple interest on ₹8000 at 5% per year for 5 years? (a) ₹10000 (b) ₹400 (c) ₹2400 (d) ₹2000
  34. 34.If 18 November is a Saturday, what day of the week is 19 December? (a) Thursday (b) Wednesday (c) Tuesday (d) Monday
  35. 35.Every pair follows the same rule: 3 : 9, 6 : 18, 9 : 27. What is 4 : ? (a) 13 (b) 11 (c) 10 (d) 12
  36. 36.Every pair follows the same rule: 7 : 10, 8 : 11, 9 : 12. What is 4 : ? (a) 6 (b) 8 (c) 9 (d) 7
  37. 37.A teacher has 16 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 40 (b) 4 (c) 16 (d) 8
  38. 38.1/2 + 2/3 = ? (a) 3/5 (b) 7/6 (c) 4/3 (d) 1
  39. 39.A teacher has 10 pencils and 16 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 2 (c) 1 (d) 10
  40. 40.A shopkeeper buys a toy for ₹580 and sells it for ₹551. What is his loss percent? (a) 10% (b) 29% (c) 6% (d) 5%

Answer key

  1. Wednesday
  2. 5 years
  3. 6 cm
  4. 7.79
  5. 136
  6. 60 min
  7. ₹8880
  8. 5
  9. 5 years
  10. 152
  11. 40
  12. 14
  13. 40
  14. 4 cm
  15. 25%
  16. 56 min
  17. 2 years
  18. 1
  19. 0.64
  20. ₹600
  21. 90 min
  22. 9%
  23. 2
  24. 1
  25. 56 sq cm
  26. Tuesday
  27. Thursday
  28. 5/7
  29. 70
  30. 16.01
  31. 12
  32. 84 min
  33. ₹2000
  34. Tuesday
  35. 12
  36. 7
  37. 8
  38. 7/6
  39. 2
  40. 5%

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