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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 271 · 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.Every pair follows the same rule: 4 : 24, 8 : 48, 9 : 54. What is 6 : ? (a) 37 (b) 35 (c) 36 (d) 26
  2. 2.What is the value of the digit 7 in 97.264? (a) 0.07 (b) 7 (c) 70 (d) 0.7
  3. 3.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 24 (b) 91 (c) 23 (d) 44
  4. 4.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 3 : ? (a) 27 (b) 28 (c) 3 (d) 36
  5. 5.Every pair follows the same rule: 5 : 17, 6 : 18, 7 : 19. What is 3 : ? (a) 14 (b) 17 (c) 16 (d) 15
  6. 6.Every pair follows the same rule: 1 : 1, 3 : 27, 4 : 64. What is 2 : ? (a) 8 (b) 9 (c) 7 (d) 2
  7. 7.A teacher has 21 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 21 (c) 35 (d) 7
  8. 8.Which fraction is greater: 5/7 or 3/8? (a) 5/7 (b) 3/8 (c) They are equal
  9. 9.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
  10. 10.If 6x + 26 = 104, what is x? (a) 14 (b) 12 (c) 13 (d) 78
  11. 11.Every pair follows the same rule: 5 : 32, 7 : 56, 8 : 71. What is 3 : ? (a) 17 (b) 15 (c) 30 (d) 16
  12. 12.What is the average of 60, 32, 38 and 54? (a) 45 (b) 47 (c) 48 (d) 46
  13. 13.Today is Saturday. What day of the week will it be after 99 days? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
  14. 14.Today is Tuesday. What day of the week will it be after 22 days? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
  15. 15.What is the smallest number of sweets that can be shared equally among 15 children or among 20 children, with none left over? (a) 35 (b) 300 (c) 120 (d) 60
  16. 16.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 23 sq cm (b) 119 sq cm (c) 46 sq cm (d) 102 sq cm
  17. 17.A shopkeeper buys a toy for ₹280 and sells it for ₹266. What is his loss percent? (a) 5% (b) 14% (c) 6% (d) 10%
  18. 18.₹7000 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹7980 (b) ₹980 (c) ₹8470 (d) ₹7490
  19. 19.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 42 sq cm (d) 35 sq cm
  20. 20.A shopkeeper buys a toy for ₹200 and sells it for ₹250. What is his profit percent? (a) 30% (b) 25% (c) 50% (d) 20%
  21. 21.What is the average of 42, 44, 45, 60 and 74? (a) 53 (b) 55 (c) 54 (d) 52
  22. 22.What is the units digit of 9^13? (a) 1 (b) 9 (c) 7 (d) 8
  23. 23.Which of these numbers is divisible by 6? (a) 363 (b) 358 (c) 351 (d) 354
  24. 24.A bag marked ₹600 is sold at a 15% discount. What is its selling price? (a) ₹690 (b) ₹90 (c) ₹510 (d) ₹585
  25. 25.2.25 + 3.4 = ? (a) 5.65 (b) 2.59 (c) 5.55 (d) 5.75
  26. 26.Today is Sunday. What day of the week will it be after 94 days? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
  27. 27.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 45 min (c) 500 min (d) 100 min
  28. 28.What is the units digit of 9^25? (a) 1 (b) 7 (c) 9 (d) 8
  29. 29.Which is the greatest: 0.126, 0.2, 0.029, 0.22? (a) 0.126 (b) 0.2 (c) 0.029 (d) 0.22
  30. 30.Today is Wednesday. What day of the week will it be after 98 days? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
  31. 31.A teacher has 42 pencils and 48 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 42 (b) 3 (c) 6 (d) 336
  32. 32.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 120 sq cm (b) 22 sq cm (c) 132 sq cm (d) 44 sq cm
  33. 33.What is the simple interest on ₹1500 at 8% per year for 2 years? (a) ₹1740 (b) ₹120 (c) ₹360 (d) ₹240
  34. 34.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 48 min (b) 2 min (c) 24 min (d) 14 min
  35. 35.Today is Friday. What day of the week will it be after 37 days? (a) Monday (b) Sunday (c) Tuesday (d) Saturday
  36. 36.A shopkeeper buys a toy for ₹700 and sells it for ₹770. What is his profit percent? (a) 5% (b) 70% (c) 15% (d) 10%
  37. 37.Two ribbons are 14 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 49 cm (b) 1 cm (c) 7 cm (d) 14 cm
  38. 38.What is the smallest number of sweets that can be shared equally among 15 children or among 21 children, with none left over? (a) 210 (b) 36 (c) 315 (d) 105
  39. 39.A bag marked ₹280 is sold at a 15% discount. What is its selling price? (a) ₹322 (b) ₹238 (c) ₹265 (d) ₹42
  40. 40.What is 1/3 of 30? (a) 9 (b) 11 (c) 10 (d) 20

Answer key

  1. 36
  2. 7
  3. 23
  4. 27
  5. 15
  6. 8
  7. 7
  8. 5/7
  9. 144 sq cm
  10. 13
  11. 16
  12. 46
  13. Sunday
  14. Wednesday
  15. 60
  16. 102 sq cm
  17. 5%
  18. ₹7980
  19. 35 sq cm
  20. 25%
  21. 53
  22. 9
  23. 354
  24. ₹510
  25. 5.65
  26. Wednesday
  27. 100 min
  28. 9
  29. 0.22
  30. Wednesday
  31. 6
  32. 120 sq cm
  33. ₹240
  34. 24 min
  35. Sunday
  36. 10%
  37. 7 cm
  38. 105
  39. ₹238
  40. 10

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