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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 183 · 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.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 24 cm (b) 187 cm (c) 12 cm (d) 13 cm
  2. 2.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 18 (b) 49 (c) 95 (d) 64
  3. 3.Which of these numbers is divisible by 3? (a) 547 (b) 542 (c) 545 (d) 543
  4. 4.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 16 (b) 23 (c) 11 (d) 18
  5. 5.If 5x + 11 = 66, what is x? (a) 11 (b) 10 (c) 55 (d) 12
  6. 6.Two bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 24 min (c) 70 min (d) 140 min
  7. 7.What is the simple interest on ₹8000 at 9% per year for 5 years? (a) ₹4320 (b) ₹3600 (c) ₹720 (d) ₹11600
  8. 8.What is the value of the digit 8 in 28.645? (a) 0.8 (b) 80 (c) 8 (d) 0.08
  9. 9.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 19 cm (b) 34 cm (c) 36 cm (d) 38 cm
  10. 10.Every pair follows the same rule: 1 : 1, 4 : 64, 5 : 125. What is 3 : ? (a) 27 (b) 28 (c) 26 (d) 3
  11. 11.Which fraction is greater: 8/11 or 1/4? (a) 8/11 (b) They are equal (c) 1/4
  12. 12.If 2 January is a Monday, what day of the week is 17 January? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
  13. 13.What is 60% of 960? (a) 1152 (b) 5760 (c) 384 (d) 576
  14. 14.1.96 + 5.2 = ? (a) 7.06 (b) 7.16 (c) 7.26 (d) 2.48
  15. 15.What is the simple interest on ₹5500 at 2% per year for 2 years? (a) ₹110 (b) ₹5720 (c) ₹220 (d) ₹330
  16. 16.A teacher has 15 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 3 (c) 1 (d) 15
  17. 17.If 4 October is a Tuesday, what day of the week is 19 October? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday
  18. 18.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 27 days (b) 4 days (c) 15 days (d) 3 days
  19. 19.What is the average of 30, 41, 32 and 53? (a) 40 (b) 52 (c) 39 (d) 38
  20. 20.A shopkeeper buys a toy for ₹500 and sells it for ₹475. What is his loss percent? (a) 10% (b) 6% (c) 5% (d) 25%
  21. 21.What is the units digit of 3^23? (a) 7 (b) 9 (c) 1 (d) 3
  22. 22.What is the remainder when 286 is divided by 4? (a) 0 (b) 2 (c) 3 (d) 1
  23. 23.₹2000 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹2100 (b) ₹2400 (c) ₹2300 (d) ₹300
  24. 24.What is the units digit of 4^24? (a) 5 (b) 7 (c) 4 (d) 6
  25. 25.If 15 July is a Sunday, what day of the week is 6 August? (a) Wednesday (b) Tuesday (c) Monday (d) Sunday
  26. 26.A shopkeeper buys a toy for ₹780 and sells it for ₹1092. What is his profit percent? (a) 41% (b) 45% (c) 35% (d) 40%
  27. 27.What is the smallest number you must add to 83 to make it divisible by 4? (a) 1 (b) 2 (c) 3
  28. 28.What is the value of the digit 5 in 56.832? (a) 0.05 (b) 50 (c) 5 (d) 0.5
  29. 29.If x/6 + 5 = 8, what is x? (a) 18 (b) 78 (c) 3 (d) 43
  30. 30.What is the value of the digit 6 in 48.613? (a) 0.006 (b) 6 (c) 0.06 (d) 0.6
  31. 31.What is the smallest number of sweets that can be shared equally among 15 children or among 25 children, with none left over? (a) 40 (b) 150 (c) 75 (d) 375
  32. 32.What is 5% of 280? (a) 28 (b) 140 (c) 266 (d) 14
  33. 33.Which of these numbers is divisible by 8? (a) 5925 (b) 5916 (c) 5933 (d) 5920
  34. 34.Every pair follows the same rule: 3 : 27, 4 : 36, 7 : 63. What is 8 : ? (a) 71 (b) 32 (c) 72 (d) 73
  35. 35.Two ribbons are 24 cm and 108 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 84 cm (b) 24 cm (c) 6 cm (d) 12 cm
  36. 36.What is the value of the digit 1 in 76.281? (a) 0.001 (b) 0.1 (c) 0.01 (d) 1
  37. 37.Which fraction is greater: 3/4 or 1/10? (a) 1/10 (b) They are equal (c) 3/4
  38. 38.Which of these numbers is divisible by 4? (a) 3566 (b) 3561 (c) 3564 (d) 3569
  39. 39.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 48 cm (b) 35 cm (c) 19 cm (d) 38 cm
  40. 40.₹6000 is invested at 4% per year simple interest. What is the amount after 2 years? (a) ₹6720 (b) ₹480 (c) ₹6240 (d) ₹6480

Answer key

  1. 12 cm
  2. 64
  3. 543
  4. 23
  5. 11
  6. 70 min
  7. ₹3600
  8. 8
  9. 38 cm
  10. 27
  11. 8/11
  12. Tuesday
  13. 576
  14. 7.16
  15. ₹220
  16. 3
  17. Wednesday
  18. 3 days
  19. 39
  20. 5%
  21. 7
  22. 2
  23. ₹2300
  24. 6
  25. Monday
  26. 40%
  27. 1
  28. 50
  29. 18
  30. 0.6
  31. 75
  32. 14
  33. 5920
  34. 72
  35. 12 cm
  36. 0.001
  37. 3/4
  38. 3564
  39. 38 cm
  40. ₹6480

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