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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 27 · 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.Which of these numbers is divisible by 3? (a) 146 (b) 142 (c) 141 (d) 139
  2. 2.If 7 pens cost ₹49, how much do 5 pens cost? (a) ₹245 (b) ₹47 (c) ₹42 (d) ₹35
  3. 3.1/2 + 2/6 = ? (a) 3/8 (b) 1 (c) 2/3 (d) 5/6
  4. 4.Which of these numbers is divisible by 3? (a) 1655 (b) 1656 (c) 1658 (d) 1660
  5. 5.What is the average of 11, 34, 32, 24, 19 and 24? (a) 25 (b) 23 (c) 26 (d) 24
  6. 6.Which fraction is greater: 6/7 or 5/11? (a) 6/7 (b) 5/11 (c) They are equal
  7. 7.What is the simple interest on ₹9500 at 11% per year for 2 years? (a) ₹11590 (b) ₹1045 (c) ₹3135 (d) ₹2090
  8. 8.1/4 + 2/9 = ? (a) 17/36 (b) 3/13 (c) 4/9 (d) 1/2
  9. 9.A shopkeeper buys a toy for ₹120 and sells it for ₹180. What is his profit percent? (a) 50% (b) 45% (c) 55% (d) 60%
  10. 10.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) 80 min (b) 36 min (c) 4 min (d) 320 min
  11. 11.A teacher has 6 pencils and 10 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 1 (c) 6 (d) 2
  12. 12.What is the units digit of 7^55? (a) 7 (b) 9 (c) 1 (d) 3
  13. 13.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 52? (a) 58 (b) 36 (c) 82 (d) 52
  14. 14.If x/2 + 4 = 7, what is x? (a) 10 (b) 6 (c) 22 (d) 3
  15. 15.₹84 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹84 (b) ₹72 (c) ₹12 (d) ₹42
  16. 16.Two ribbons are 36 cm and 96 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 36 cm (b) 6 cm (c) 60 cm (d) 12 cm
  17. 17.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 33 cm (d) 108 cm
  18. 18.What is the value of the digit 1 in 58.714? (a) 0.1 (b) 0.001 (c) 1 (d) 0.01
  19. 19.A bag marked ₹1520 is sold at a 30% discount. What is its selling price? (a) ₹456 (b) ₹1976 (c) ₹1064 (d) ₹1490
  20. 20.The simple interest on ₹9500 for 3 years is ₹3135. What is the rate per year? (a) 10% (b) 33% (c) 11% (d) 12%
  21. 21.3 workers can build a wall in 8 days. How many days will 6 workers take, working at the same speed? (a) 11 days (b) 16 days (c) 5 days (d) 4 days
  22. 22.Which is the greatest: 0.025, 0.74, 0.621, 0.7? (a) 0.025 (b) 0.74 (c) 0.621 (d) 0.7
  23. 23.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 196 sq cm (d) 225 sq cm
  24. 24.6 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 1 day (b) 3 days (c) 4 days (d) 9 days
  25. 25.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 24 (b) 12 (c) 13 (d) 51
  26. 26.7 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 6 days (b) 7 days (c) 9 days (d) 8 days
  27. 27.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 21 min (b) 108 min (c) 3 min (d) 36 min
  28. 28.Today is Thursday. What day of the week will it be after 78 days? (a) Thursday (b) Saturday (c) Friday (d) Sunday
  29. 29.A teacher has 40 pencils and 90 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 40 (b) 50 (c) 5 (d) 10
  30. 30.What is the average of 76, 56, 70 and 50? (a) 62 (b) 84 (c) 64 (d) 63
  31. 31.A shopkeeper buys a toy for ₹640 and sells it for ₹896. What is his profit percent? (a) 41% (b) 35% (c) 40% (d) 45%
  32. 32.₹4500 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹4680 (b) ₹4590 (c) ₹4770 (d) ₹180
  33. 33.Every pair follows the same rule: 2 : 7, 3 : 8, 4 : 9. What is 5 : ? (a) 11 (b) 9 (c) 12 (d) 10
  34. 34.If 2x − 10 = 10, what is x? (a) 10 (b) 20 (c) 9 (d) 11
  35. 35.What is the average of 60, 61, 83, 62, 54 and 94? (a) 68 (b) 71 (c) 70 (d) 69
  36. 36.₹114 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹76 (b) ₹57 (c) ₹114 (d) ₹38
  37. 37.₹259 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹37 (b) ₹185 (c) ₹222 (d) ₹74
  38. 38.If 9x + 1 = 3x + 43, what is x? (a) 8 (b) 9 (c) 6 (d) 7
  39. 39.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 28 sq cm (d) 14 sq cm
  40. 40.If 6 mangoes cost ₹78, how much do 7 mangoes cost? (a) ₹104 (b) ₹91 (c) ₹79 (d) ₹546

Answer key

  1. 141
  2. ₹35
  3. 5/6
  4. 1656
  5. 24
  6. 6/7
  7. ₹2090
  8. 17/36
  9. 50%
  10. 80 min
  11. 2
  12. 3
  13. 82
  14. 6
  15. ₹72
  16. 12 cm
  17. 42 cm
  18. 0.01
  19. ₹1064
  20. 11%
  21. 4 days
  22. 0.74
  23. 196 sq cm
  24. 3 days
  25. 12
  26. 7 days
  27. 36 min
  28. Friday
  29. 10
  30. 63
  31. 40%
  32. ₹4680
  33. 10
  34. 10
  35. 69
  36. ₹76
  37. ₹185
  38. 7
  39. 49 sq cm
  40. ₹91

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