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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 108 · 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.If 4x + 4 = 3x + 12, what is x? (a) 10 (b) 16 (c) 8 (d) 9
  2. 2.Today is Monday. What day of the week will it be after 61 days? (a) Monday (b) Saturday (c) Sunday (d) Friday
  3. 3.What is 2/7 of 77? (a) 33 (b) 22 (c) 11 (d) 55
  4. 4.A bag marked ₹660 is sold at a 10% discount. What is its selling price? (a) ₹726 (b) ₹594 (c) ₹66 (d) ₹650
  5. 5.Which fraction is greater: 2/9 or 4/5? (a) They are equal (b) 4/5 (c) 2/9
  6. 6.If 8x + 13 = 4x + 33, what is x? (a) 5 (b) 6 (c) 7 (d) 4
  7. 7.Every pair follows the same rule: 2 : 12, 3 : 17, 6 : 44. What is 5 : ? (a) 30 (b) 35 (c) 15 (d) 33
  8. 8.Every pair follows the same rule: 2 : 3, 4 : 11, 6 : 19. What is 7 : ? (a) 8 (b) 23 (c) 24 (d) 22
  9. 9.₹216 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹108 (b) ₹24 (c) ₹216 (d) ₹192
  10. 10.In how many years will ₹8000 earn ₹2800 simple interest at 7% per year? (a) 6 years (b) 4 years (c) 10 years (d) 5 years
  11. 11.Every pair follows the same rule: 4 : 16, 5 : 25, 6 : 36. What is 3 : ? (a) 15 (b) 12 (c) 3 (d) 9
  12. 12.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 4 days (b) 2 days (c) 7 days (d) 3 days
  13. 13.What is the simple interest on ₹9500 at 8% per year for 2 years? (a) ₹760 (b) ₹1520 (c) ₹11020 (d) ₹2280
  14. 14.What is the simple interest on ₹5500 at 11% per year for 4 years? (a) ₹7920 (b) ₹3025 (c) ₹2420 (d) ₹605
  15. 15.What is the value of the digit 3 in 98.273? (a) 0.03 (b) 0.3 (c) 0.003 (d) 3
  16. 16.If 9 March is a Sunday, what day of the week is 22 March? (a) Monday (b) Sunday (c) Friday (d) Saturday
  17. 17.2/4 + 2/5 = ? (a) 9/10 (b) 4/9 (c) 19/20 (d) 17/20
  18. 18.1/4 + 5/6 = ? (a) 7/6 (b) 13/12 (c) 3/5 (d) 1
  19. 19.Which fraction is greater: 3/10 or 2/3? (a) They are equal (b) 2/3 (c) 3/10
  20. 20.Which is the smallest: 0.531, 0.099, 0.6, 0.67? (a) 0.531 (b) 0.099 (c) 0.6 (d) 0.67
  21. 21.The simple interest on ₹9500 for 4 years is ₹3800. What is the rate per year? (a) 40% (b) 10% (c) 9% (d) 11%
  22. 22.Two bells ring every 24 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 54 min (b) 720 min (c) 6 min (d) 120 min
  23. 23.If x/6 + 15 = 20, what is x? (a) 5 (b) 210 (c) 30 (d) 105
  24. 24.Two ribbons are 70 cm and 80 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 560 cm (b) 10 cm (c) 5 cm (d) 70 cm
  25. 25.If x/3 + 6 = 17, what is x? (a) 11 (b) 69 (c) 33 (d) 45
  26. 26.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 25 (b) 14 (c) 52 (d) 13
  27. 27.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 56? (a) 106 (b) 63 (c) 105 (d) 56
  28. 28.7.17 + 2.7 = ? (a) 9.97 (b) 9.77 (c) 7.44 (d) 9.87
  29. 29.A teacher has 28 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 4 (c) 8 (d) 28
  30. 30.If 9x + 19 = 64, what is x? (a) 4 (b) 45 (c) 6 (d) 5
  31. 31.Two bells ring every 18 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 432 min (b) 42 min (c) 6 min (d) 72 min
  32. 32.If x/4 + 3 = 14, what is x? (a) 44 (b) 11 (c) 68 (d) 53
  33. 33.Two ribbons are 24 cm and 64 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 24 cm (b) 40 cm (c) 4 cm (d) 8 cm
  34. 34.If 8x − 91 = 29, what is x? (a) 15 (b) 120 (c) 14 (d) 16
  35. 35.5 workers can build a wall in 4 days. How many days will 10 workers take, working at the same speed? (a) 8 days (b) 2 days (c) 3 days (d) 9 days
  36. 36.What is 5/8 of 56? (a) 35 (b) 21 (c) 42 (d) 7
  37. 37.If x/4 + 11 = 20, what is x? (a) 36 (b) 124 (c) 69 (d) 9
  38. 38.Which is the greatest: 0.039, 0.4, 0.49, 0.319? (a) 0.039 (b) 0.4 (c) 0.49 (d) 0.319
  39. 39.What is the average of 68, 65, 92 and 95? (a) 80 (b) 79 (c) 81 (d) 82
  40. 40.The simple interest on ₹6500 for 2 years is ₹1560. What is the rate per year? (a) 24% (b) 13% (c) 12% (d) 11%

Answer key

  1. 8
  2. Saturday
  3. 22
  4. ₹594
  5. 4/5
  6. 5
  7. 33
  8. 23
  9. ₹192
  10. 5 years
  11. 9
  12. 3 days
  13. ₹1520
  14. ₹2420
  15. 0.003
  16. Saturday
  17. 9/10
  18. 13/12
  19. 2/3
  20. 0.099
  21. 10%
  22. 120 min
  23. 30
  24. 10 cm
  25. 33
  26. 13
  27. 105
  28. 9.87
  29. 4
  30. 5
  31. 72 min
  32. 44
  33. 8 cm
  34. 15
  35. 2 days
  36. 35
  37. 36
  38. 0.49
  39. 80
  40. 12%

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