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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 761 · 40 questions
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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 square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 10 sq cm (d) 20 sq cm
  2. 2.If 17 May is a Sunday, what day of the week is 9 June? (a) Thursday (b) Monday (c) Wednesday (d) Tuesday
  3. 3.Every pair follows the same rule: 5 : 25, 8 : 64, 9 : 81. What is 4 : ? (a) 24 (b) 16 (c) 20 (d) 17
  4. 4.Every pair follows the same rule: 3 : 13, 4 : 17, 6 : 25. What is 8 : ? (a) 33 (b) 34 (c) 18 (d) 32
  5. 5.Two ribbons are 4 cm and 14 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 10 cm (c) 4 cm (d) 1 cm
  6. 6.Two bells ring every 12 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 180 min (b) 60 min (c) 3 min (d) 27 min
  7. 7.₹6500 is invested at 2% per year simple interest. What is the amount after 5 years? (a) ₹650 (b) ₹7150 (c) ₹7280 (d) ₹6630
  8. 8.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 6 (b) 85 (c) 40 (d) 5
  9. 9.If 9 kites cost ₹189, how much do 10 kites cost? (a) ₹190 (b) ₹210 (c) ₹1890 (d) ₹231
  10. 10.What is the value of the digit 5 in 26.458? (a) 5 (b) 0.05 (c) 0.5 (d) 0.005
  11. 11.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 23 (b) 24 (c) 13 (d) 12
  12. 12.5.51 + 5.6 = ? (a) 11.11 (b) 6.07 (c) 11.01 (d) 11.21
  13. 13.What is 25% of 280? (a) 140 (b) 210 (c) 70 (d) 700
  14. 14.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 56 min (c) 36 min (d) 224 min
  15. 15.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 77 (b) 65 (c) 61 (d) 20
  16. 16.Every pair follows the same rule: 1 : 1, 3 : 27, 4 : 64. What is 6 : ? (a) 138 (b) 217 (c) 6 (d) 216
  17. 17.What is the average of 15, 32, 24, 13 and 31? (a) 22 (b) 24 (c) 23 (d) 25
  18. 18.A shopkeeper buys a toy for ₹300 and sells it for ₹285. What is his loss percent? (a) 10% (b) 15% (c) 5% (d) 6%
  19. 19.Which is the smallest: 0.44, 0.053, 0.4, 0.315? (a) 0.44 (b) 0.053 (c) 0.4 (d) 0.315
  20. 20.If 4x + 21 = 53, what is x? (a) 32 (b) 7 (c) 8 (d) 9
  21. 21.Every pair follows the same rule: 3 : 8, 6 : 35, 9 : 80. What is 8 : ? (a) 13 (b) 64 (c) 65 (d) 63
  22. 22.A teacher has 60 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 360 (c) 6 (d) 60
  23. 23.If 9 kites cost ₹99, how much do 6 kites cost? (a) ₹96 (b) ₹66 (c) ₹77 (d) ₹594
  24. 24.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 52 cm (b) 46 cm (c) 120 cm (d) 26 cm
  25. 25.Today is Friday. What day of the week will it be after 11 days? (a) Thursday (b) Wednesday (c) Tuesday (d) Monday
  26. 26.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 108 cm (b) 21 cm (c) 33 cm (d) 42 cm
  27. 27.₹88 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹44 (b) ₹40 (c) ₹48 (d) ₹8
  28. 28.Which is the smallest: 0.021, 0.46, 0.4, 0.391? (a) 0.021 (b) 0.46 (c) 0.4 (d) 0.391
  29. 29.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  30. 30.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 39 (b) 33 (c) 30 (d) 57
  31. 31.What is the value of the digit 2 in 81.725? (a) 0.02 (b) 0.002 (c) 0.2 (d) 2
  32. 32.If 2x − 23 = 3, what is x? (a) 13 (b) 12 (c) 14 (d) 26
  33. 33.A shopkeeper buys a toy for ₹220 and sells it for ₹253. What is his profit percent? (a) 10% (b) 20% (c) 33% (d) 15%
  34. 34.1.35 + 4.5 = ? (a) 5.75 (b) 5.95 (c) 5.85 (d) 1.8
  35. 35.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 80 (b) 15 (c) 14 (d) 38
  36. 36.A batter has an average of 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 55? (a) 65 (b) 12 (c) 57 (d) 55
  37. 37.If x/5 + 10 = 17, what is x? (a) 35 (b) 75 (c) 135 (d) 7
  38. 38.If x/3 + 2 = 9, what is x? (a) 33 (b) 21 (c) 7 (d) 25
  39. 39.What is 1/2 of 14? (a) 8 (b) 14 (c) 7 (d) 6
  40. 40.5 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 21 days (b) 10 days (c) 14 days (d) 20 days

Answer key

  1. 25 sq cm
  2. Tuesday
  3. 16
  4. 33
  5. 2 cm
  6. 60 min
  7. ₹7150
  8. 5
  9. ₹210
  10. 0.05
  11. 23
  12. 11.11
  13. 70
  14. 56 min
  15. 77
  16. 216
  17. 23
  18. 5%
  19. 0.053
  20. 8
  21. 63
  22. 12
  23. ₹66
  24. 52 cm
  25. Tuesday
  26. 42 cm
  27. ₹48
  28. 0.021
  29. 27 sq cm
  30. 57
  31. 0.02
  32. 13
  33. 15%
  34. 5.85
  35. 14
  36. 65
  37. 35
  38. 21
  39. 7
  40. 20 days

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