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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 555 · 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 5x + 12 = 62, what is x? (a) 9 (b) 50 (c) 11 (d) 10
  2. 2.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 100 sq cm (b) 19 sq cm (c) 38 sq cm (d) 90 sq cm
  3. 3.Every pair follows the same rule: 3 : 18, 8 : 48, 9 : 54. What is 6 : ? (a) 36 (b) 35 (c) 21 (d) 37
  4. 4.Which is the greatest: 0.4, 0.332, 0.42, 0.087? (a) 0.4 (b) 0.332 (c) 0.42 (d) 0.087
  5. 5.If 3x + 7 = 43, what is x? (a) 11 (b) 36 (c) 12 (d) 13
  6. 6.If x/2 + 7 = 11, what is x? (a) 4 (b) 15 (c) 36 (d) 8
  7. 7.Which is the greatest: 0.4, 0.324, 0.45, 0.014? (a) 0.4 (b) 0.324 (c) 0.45 (d) 0.014
  8. 8.Every pair follows the same rule: 2 : 4, 6 : 36, 9 : 81. What is 5 : ? (a) 21 (b) 7 (c) 25 (d) 10
  9. 9.Which is the greatest: 0.8, 0.753, 0.81, 0.012? (a) 0.8 (b) 0.753 (c) 0.81 (d) 0.012
  10. 10.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 36 (c) 49 (d) 71
  11. 11.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 28 min (c) 56 min (d) 18 min
  12. 12.If 4x + 17 = 41, what is x? (a) 5 (b) 6 (c) 24 (d) 7
  13. 13.Every pair follows the same rule: 3 : 9, 5 : 25, 6 : 36. What is 9 : ? (a) 81 (b) 69 (c) 15 (d) 27
  14. 14.If 4x − 25 = 23, what is x? (a) 13 (b) 48 (c) 12 (d) 11
  15. 15.The simple interest on ₹3000 for 2 years is ₹240. What is the rate per year? (a) 8% (b) 3% (c) 4% (d) 5%
  16. 16.4/7 + 3/4 = ? (a) 7/11 (b) 9/7 (c) 19/14 (d) 37/28
  17. 17.Which is the smallest: 0.759, 0.84, 0.094, 0.8? (a) 0.759 (b) 0.84 (c) 0.094 (d) 0.8
  18. 18.8 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 8 days (b) 24 days (c) 16 days (d) 6 days
  19. 19.What is the simple interest on ₹4000 at 12% per year for 2 years? (a) ₹4960 (b) ₹480 (c) ₹1440 (d) ₹960
  20. 20.Every pair follows the same rule: 4 : 13, 5 : 22, 7 : 46. What is 6 : ? (a) 32 (b) 34 (c) 33 (d) 15
  21. 21.What is the units digit of 2^44? (a) 8 (b) 4 (c) 6 (d) 2
  22. 22.What is the value of the digit 2 in 71.249? (a) 0.002 (b) 0.02 (c) 2 (d) 0.2
  23. 23.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 33 (b) 15 (c) 45 (d) 63
  24. 24.If 12 October is a Friday, what day of the week is 28 October? (a) Tuesday (b) Monday (c) Sunday (d) Saturday
  25. 25.What is the average of 57, 34, 42, 40 and 42? (a) 43 (b) 45 (c) 42 (d) 44
  26. 26.Which fraction is greater: 3/4 or 9/10? (a) They are equal (b) 9/10 (c) 3/4
  27. 27.Every pair follows the same rule: 1 : 1, 3 : 27, 6 : 216. What is 5 : ? (a) 126 (b) 5 (c) 125 (d) 153
  28. 28.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 180 sq cm (b) 198 sq cm (c) 56 sq cm (d) 28 sq cm
  29. 29.Every pair follows the same rule: 2 : 1, 3 : 6, 8 : 61. What is 6 : ? (a) 32 (b) 39 (c) 33 (d) 34
  30. 30.What is the units digit of 4^24? (a) 4 (b) 5 (c) 7 (d) 6
  31. 31.What is the units digit of 8^46? (a) 8 (b) 6 (c) 2 (d) 4
  32. 32.8.15 + 1.4 = ? (a) 9.65 (b) 9.55 (c) 9.45 (d) 8.29
  33. 33.In how many years will ₹8500 earn ₹1275 simple interest at 3% per year? (a) 10 years (b) 6 years (c) 4 years (d) 5 years
  34. 34.Which is the smallest: 0.067, 0.2, 0.21, 0.186? (a) 0.067 (b) 0.2 (c) 0.21 (d) 0.186
  35. 35.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 20 sq cm (c) 21 sq cm (d) 10 sq cm
  36. 36.What is the value of the digit 5 in 51.734? (a) 0.5 (b) 5 (c) 0.05 (d) 50
  37. 37.5 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 25 days (c) 7 days (d) 4 days
  38. 38.Every pair follows the same rule: 6 : 11, 7 : 12, 9 : 14. What is 2 : ? (a) 6 (b) 7 (c) 9 (d) 8
  39. 39.What is the smallest number you must add to 731 to make it divisible by 12? (a) 11 (b) 1 (c) 2 (d) 3
  40. 40.The simple interest on ₹5500 for 3 years is ₹1980. What is the rate per year? (a) 13% (b) 12% (c) 36% (d) 11%

Answer key

  1. 10
  2. 90 sq cm
  3. 36
  4. 0.42
  5. 12
  6. 8
  7. 0.45
  8. 25
  9. 0.81
  10. 71
  11. 28 min
  12. 6
  13. 81
  14. 12
  15. 4%
  16. 37/28
  17. 0.094
  18. 24 days
  19. ₹960
  20. 33
  21. 6
  22. 0.2
  23. 45
  24. Sunday
  25. 43
  26. 9/10
  27. 125
  28. 180 sq cm
  29. 33
  30. 6
  31. 4
  32. 9.55
  33. 5 years
  34. 0.067
  35. 21 sq cm
  36. 50
  37. 25 days
  38. 7
  39. 1
  40. 12%

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