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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 819 · 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 is 12 cm long and 5 cm wide. What is its area? (a) 17 sq cm (b) 72 sq cm (c) 60 sq cm (d) 34 sq cm
  2. 2.A teacher has 42 pencils and 54 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 6 (c) 12 (d) 42
  3. 3.If 10 March is a Tuesday, what day of the week is 22 March? (a) Monday (b) Tuesday (c) Sunday (d) Saturday
  4. 4.If x/5 + 15 = 17, what is x? (a) 10 (b) 160 (c) 2 (d) 70
  5. 5.Every pair follows the same rule: 1 : 1, 2 : 8, 3 : 27. What is 4 : ? (a) 65 (b) 64 (c) 4 (d) 46
  6. 6.Which is the smallest: 0.748, 0.071, 0.8, 0.87? (a) 0.748 (b) 0.071 (c) 0.8 (d) 0.87
  7. 7.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 120 min (c) 60 min (d) 22 min
  8. 8.What is the average of 29, 30, 30, 58, 36 and 81? (a) 46 (b) 43 (c) 44 (d) 45
  9. 9.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 93 (b) 5 (c) 51 (d) 47
  10. 10.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 20 cm (d) 18 cm
  11. 11.Every pair follows the same rule: 2 : 2, 6 : 34, 9 : 79. What is 8 : ? (a) 8 (b) 62 (c) 63 (d) 64
  12. 12.What is the simple interest on ₹9000 at 7% per year for 2 years? (a) ₹1890 (b) ₹1260 (c) ₹630 (d) ₹10260
  13. 13.₹198 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹88 (b) ₹99 (c) ₹110 (d) ₹22
  14. 14.Every pair follows the same rule: 5 : 8, 6 : 10, 9 : 16. What is 2 : ? (a) 3 (b) 5 (c) 2 (d) 1
  15. 15.Every pair follows the same rule: 3 : 18, 8 : 43, 9 : 48. What is 6 : ? (a) 34 (b) 36 (c) 21 (d) 33
  16. 16.Which is the smallest: 0.4, 0.329, 0.017, 0.49? (a) 0.4 (b) 0.329 (c) 0.017 (d) 0.49
  17. 17.If 18 August is a Wednesday, what day of the week is 17 September? (a) Thursday (b) Friday (c) Sunday (d) Saturday
  18. 18.4.18 + 5.1 = ? (a) 9.18 (b) 4.69 (c) 9.38 (d) 9.28
  19. 19.If 4x + 25 = 53, what is x? (a) 8 (b) 28 (c) 7 (d) 6
  20. 20.If x/2 + 4 = 9, what is x? (a) 10 (b) 26 (c) 5 (d) 14
  21. 21.A shopkeeper buys a toy for ₹140 and sells it for ₹175. What is his profit percent? (a) 20% (b) 35% (c) 30% (d) 25%
  22. 22.What is the average of all the whole numbers from 41 to 49? (a) 46 (b) 45 (c) 4 (d) 8
  23. 23.What is the average of 11, 38, 35, 17, 20 and 17? (a) 25 (b) 23 (c) 24 (d) 22
  24. 24.A teacher has 50 pencils and 90 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 40 (c) 50 (d) 5
  25. 25.Two bells ring every 12 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 360 min (b) 60 min (c) 6 min (d) 42 min
  26. 26.If 8x + 17 = 2x + 41, what is x? (a) 3 (b) 5 (c) 6 (d) 4
  27. 27.Which is the greatest: 0.234, 0.086, 0.3, 0.33? (a) 0.234 (b) 0.086 (c) 0.3 (d) 0.33
  28. 28.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 57 (b) 12 (c) 47 (d) 92
  29. 29.3.43 + 1.2 = ? (a) 4.53 (b) 4.63 (c) 3.55 (d) 4.73
  30. 30.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 57 sq cm (b) 42 sq cm (c) 38 sq cm (d) 21 sq cm
  31. 31.Every pair follows the same rule: 4 : 32, 5 : 40, 6 : 48. What is 2 : ? (a) 30 (b) 16 (c) 15 (d) 17
  32. 32.2.43 + 4.8 = ? (a) 2.91 (b) 7.23 (c) 7.33 (d) 7.13
  33. 33.What is the smallest number you must add to 285 to make it divisible by 4? (a) 2 (b) 3 (c) 1
  34. 34.Today is Friday. What day of the week will it be after 86 days? (a) Sunday (b) Tuesday (c) Saturday (d) Monday
  35. 35.Which is the smallest: 0.66, 0.6, 0.521, 0.078? (a) 0.66 (b) 0.6 (c) 0.521 (d) 0.078
  36. 36.Every pair follows the same rule: 2 : 4, 4 : 16, 9 : 81. What is 3 : ? (a) 5 (b) 3 (c) 9 (d) 6
  37. 37.What is the value of the digit 3 in 87.463? (a) 3 (b) 0.03 (c) 0.3 (d) 0.003
  38. 38.Two bells ring every 15 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 105 min (b) 315 min (c) 36 min (d) 3 min
  39. 39.If 2x + 21 = 49, what is x? (a) 35 (b) 15 (c) 28 (d) 14
  40. 40.What is the value of the digit 4 in 51.984? (a) 0.004 (b) 0.4 (c) 0.04 (d) 4

Answer key

  1. 60 sq cm
  2. 6
  3. Sunday
  4. 10
  5. 64
  6. 0.071
  7. 60 min
  8. 44
  9. 51
  10. 22 cm
  11. 62
  12. ₹1260
  13. ₹110
  14. 2
  15. 33
  16. 0.017
  17. Friday
  18. 9.28
  19. 7
  20. 10
  21. 25%
  22. 45
  23. 23
  24. 10
  25. 60 min
  26. 4
  27. 0.33
  28. 57
  29. 4.63
  30. 38 sq cm
  31. 16
  32. 7.23
  33. 3
  34. Sunday
  35. 0.078
  36. 9
  37. 0.003
  38. 105 min
  39. 14
  40. 0.004

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