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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 251 · 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.₹39 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹39 (b) ₹26 (c) ₹13 (d) ₹27
  2. 2.Today is Wednesday. What day of the week will it be after 15 days? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
  3. 3.What is 5/6 of 18? (a) 18 (b) 16 (c) 15 (d) 3
  4. 4.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 102 (b) 50 (c) 45 (d) 44
  5. 5.Which fraction is greater: 7/8 or 1/9? (a) 1/9 (b) 7/8 (c) They are equal
  6. 6.A teacher has 20 pencils and 50 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 20 (c) 30 (d) 10
  7. 7.Which is the greatest: 0.27, 0.168, 0.2, 0.076? (a) 0.27 (b) 0.168 (c) 0.2 (d) 0.076
  8. 8.What is the average of 28, 25, 26 and 33? (a) 27 (b) 30 (c) 29 (d) 28
  9. 9.What is the simple interest on ₹4500 at 2% per year for 2 years? (a) ₹4680 (b) ₹270 (c) ₹180 (d) ₹90
  10. 10.Which of these numbers is divisible by 4? (a) 753 (b) 749 (c) 747 (d) 748
  11. 11.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
  12. 12.If 26 November is a Monday, what day of the week is 14 December? (a) Thursday (b) Sunday (c) Friday (d) Saturday
  13. 13.6 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 13 days (b) 3 days (c) 12 days (d) 9 days
  14. 14.If x/2 + 9 = 14, what is x? (a) 19 (b) 46 (c) 10 (d) 5
  15. 15.What is the smallest number of sweets that can be shared equally among 20 children or among 24 children, with none left over? (a) 120 (b) 44 (c) 480 (d) 240
  16. 16.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 13 cm (c) 24 cm (d) 12 cm
  17. 17.What is the units digit of 7^16? (a) 3 (b) 9 (c) 1 (d) 7
  18. 18.A shopkeeper buys a toy for ₹240 and sells it for ₹204. What is his loss percent? (a) 20% (b) 36% (c) 15% (d) 10%
  19. 19.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 15 (b) 24 (c) 35 (d) 26
  20. 20.Two ribbons are 28 cm and 35 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 28 cm (b) 1 cm (c) 7 cm (d) 140 cm
  21. 21.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 16 cm (b) 126 cm (c) 8 cm (d) 9 cm
  22. 22.What is 1/4 of 28? (a) 14 (b) 21 (c) 7 (d) 8
  23. 23.Which is the smallest: 0.5, 0.051, 0.421, 0.52? (a) 0.5 (b) 0.051 (c) 0.421 (d) 0.52
  24. 24.What is 75% of 480? (a) 360 (b) 3600 (c) 720 (d) 120
  25. 25.Which fraction is greater: 9/10 or 4/5? (a) 9/10 (b) They are equal (c) 4/5
  26. 26.Which fraction is greater: 5/7 or 1/9? (a) 5/7 (b) 1/9 (c) They are equal
  27. 27.Every pair follows the same rule: 5 : 25, 6 : 29, 9 : 41. What is 7 : ? (a) 34 (b) 35 (c) 27 (d) 33
  28. 28.What is 10% of 900? (a) 900 (b) 810 (c) 180 (d) 90
  29. 29.What is the smallest number of sweets that can be shared equally among 12 children or among 30 children, with none left over? (a) 360 (b) 120 (c) 42 (d) 60
  30. 30.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 24 (b) 29 (c) 55 (d) 50
  31. 31.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 39 (c) 32 (d) 63
  32. 32.9.21 + 6.1 = ? (a) 15.41 (b) 15.31 (c) 15.21 (d) 9.82
  33. 33.Which fraction is greater: 1/4 or 2/7? (a) They are equal (b) 2/7 (c) 1/4
  34. 34.If 17 April is a Thursday, what day of the week is 15 May? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
  35. 35.Two bells ring every 15 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 105 min (b) 50 min (c) 525 min (d) 5 min
  36. 36.A teacher has 12 pencils and 42 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 30 (b) 6 (c) 12 (d) 3
  37. 37.What is the value of the digit 5 in 16.853? (a) 0.005 (b) 5 (c) 0.05 (d) 0.5
  38. 38.In how many years will ₹7500 earn ₹1500 simple interest at 4% per year? (a) 10 years (b) 5 years (c) 4 years (d) 6 years
  39. 39.What is the average of all the whole numbers from 35 to 63? (a) 28 (b) 49 (c) 14 (d) 50
  40. 40.Every pair follows the same rule: 2 : 4, 5 : 25, 8 : 64. What is 7 : ? (a) 49 (b) 14 (c) 9 (d) 51

Answer key

  1. ₹26
  2. Thursday
  3. 15
  4. 44
  5. 7/8
  6. 10
  7. 0.27
  8. 28
  9. ₹180
  10. 748
  11. 49 sq cm
  12. Friday
  13. 12 days
  14. 10
  15. 120
  16. 12 cm
  17. 1
  18. 15%
  19. 35
  20. 7 cm
  21. 8 cm
  22. 7
  23. 0.051
  24. 360
  25. 9/10
  26. 5/7
  27. 33
  28. 90
  29. 60
  30. 50
  31. 63
  32. 15.31
  33. 2/7
  34. Thursday
  35. 105 min
  36. 6
  37. 0.05
  38. 5 years
  39. 49
  40. 49

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