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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 200 · 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.Which fraction is greater: 7/10 or 2/9? (a) 7/10 (b) 2/9 (c) They are equal
  2. 2.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 35 (c) 18 (d) 47
  3. 3.8 workers can build a wall in 11 days. How many days will 4 workers take, working at the same speed? (a) 23 days (b) 15 days (c) 7 days (d) 22 days
  4. 4.If 3x + 14 = 2x + 22, what is x? (a) 8 (b) 36 (c) 10 (d) 9
  5. 5.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 2 days (b) 7 days (c) 3 days (d) 4 days
  6. 6.7.14 + 4.3 = ? (a) 11.54 (b) 7.57 (c) 11.44 (d) 11.34
  7. 7.6 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 12 days (b) 13 days (c) 3 days (d) 9 days
  8. 8.Every pair follows the same rule: 2 : 13, 7 : 33, 8 : 37. What is 3 : ? (a) 16 (b) 18 (c) 17 (d) 14
  9. 9.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 16 min (b) 30 min (c) 2 min (d) 60 min
  10. 10.If x/5 + 12 = 24, what is x? (a) 12 (b) 180 (c) 60 (d) 108
  11. 11.Every pair follows the same rule: 4 : 16, 6 : 22, 9 : 31. What is 8 : ? (a) 20 (b) 29 (c) 28 (d) 32
  12. 12.If 14 November is a Thursday, what day of the week is 2 December? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
  13. 13.If 7x + 17 = 66, what is x? (a) 8 (b) 7 (c) 49 (d) 6
  14. 14.What is the units digit of 7^30? (a) 7 (b) 9 (c) 3 (d) 1
  15. 15.What is the value of the digit 5 in 61.953? (a) 0.05 (b) 5 (c) 0.5 (d) 0.005
  16. 16.₹441 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹294 (b) ₹49 (c) ₹196 (d) ₹245
  17. 17.What is the simple interest on ₹2500 at 2% per year for 4 years? (a) ₹200 (b) ₹250 (c) ₹50 (d) ₹2700
  18. 18.5.39 + 7.9 = ? (a) 13.39 (b) 13.19 (c) 6.18 (d) 13.29
  19. 19.Which fraction is greater: 1/4 or 1/5? (a) They are equal (b) 1/5 (c) 1/4
  20. 20.If 3x − 3 = 3, what is x? (a) 3 (b) 6 (c) 1 (d) 2
  21. 21.1/5 + 1/2 = ? (a) 2/7 (b) 4/5 (c) 3/5 (d) 7/10
  22. 22.If 6x − 11 = 13, what is x? (a) 5 (b) 3 (c) 4 (d) 24
  23. 23.Which of these numbers is divisible by 4? (a) 2543 (b) 2545 (c) 2544 (d) 2549
  24. 24.Which is the greatest: 0.018, 0.6, 0.592, 0.64? (a) 0.018 (b) 0.6 (c) 0.592 (d) 0.64
  25. 25.Two bells ring every 8 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 80 min (b) 18 min (c) 2 min (d) 40 min
  26. 26.What is the smallest number of sweets that can be shared equally among 12 children or among 16 children, with none left over? (a) 96 (b) 48 (c) 192 (d) 28
  27. 27.What is the remainder when 209 is divided by 3? (a) 0 (b) 2 (c) 1
  28. 28.If 8x + 19 = 7x + 23, what is x? (a) 6 (b) 4 (c) 5 (d) 42
  29. 29.₹1000 is invested at 12% per year simple interest. What is the amount after 5 years? (a) ₹1600 (b) ₹1120 (c) ₹1720 (d) ₹600
  30. 30.If 2 January is a Wednesday, what day of the week is 13 January? (a) Monday (b) Tuesday (c) Sunday (d) Saturday
  31. 31.If x/4 + 7 = 9, what is x? (a) 29 (b) 2 (c) 64 (d) 8
  32. 32.1/3 + 2/3 = ? (a) 1/2 (b) 2/3 (c) 4/3 (d) 1
  33. 33.If 3x + 1 = 31, what is x? (a) 11 (b) 9 (c) 30 (d) 10
  34. 34.Two bells ring every 15 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 525 min (b) 5 min (c) 105 min (d) 50 min
  35. 35.Which fraction is greater: 3/5 or 4/9? (a) 3/5 (b) 4/9 (c) They are equal
  36. 36.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 6 : ? (a) 216 (b) 6 (c) 217 (d) 120
  37. 37.What is the remainder when 255 is divided by 10? (a) 6 (b) 7 (c) 4 (d) 5
  38. 38.Which of these numbers is divisible by 8? (a) 3587 (b) 3598 (c) 3592 (d) 3604
  39. 39.What is the average of all the whole numbers from 34 to 42? (a) 4 (b) 38 (c) 39 (d) 8
  40. 40.5.06 + 7.4 = ? (a) 5.8 (b) 12.56 (c) 12.46 (d) 12.36

Answer key

  1. 7/10
  2. 47
  3. 22 days
  4. 8
  5. 3 days
  6. 11.44
  7. 12 days
  8. 17
  9. 30 min
  10. 60
  11. 28
  12. Monday
  13. 7
  14. 9
  15. 0.05
  16. ₹245
  17. ₹200
  18. 13.29
  19. 1/4
  20. 2
  21. 7/10
  22. 4
  23. 2544
  24. 0.64
  25. 40 min
  26. 48
  27. 2
  28. 4
  29. ₹1600
  30. Sunday
  31. 8
  32. 1
  33. 10
  34. 105 min
  35. 3/5
  36. 216
  37. 5
  38. 3592
  39. 38
  40. 12.46

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