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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 981 · 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.What is the average of all the whole numbers from 7 to 31? (a) 19 (b) 12 (c) 20 (d) 24
  2. 2.What is the average of all the whole numbers from 20 to 38? (a) 9 (b) 29 (c) 30 (d) 18
  3. 3.Which of these numbers is divisible by 8? (a) 6618 (b) 6615 (c) 6616 (d) 6627
  4. 4.What is the value of the digit 6 in 86.421? (a) 0.06 (b) 6 (c) 60 (d) 0.6
  5. 5.If 8x + 3 = x + 80, what is x? (a) 10 (b) 13 (c) 11 (d) 12
  6. 6.Which is the smallest: 0.265, 0.3, 0.091, 0.39? (a) 0.265 (b) 0.3 (c) 0.091 (d) 0.39
  7. 7.₹490 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹315 (b) ₹245 (c) ₹35 (d) ₹175
  8. 8.What is the value of the digit 6 in 31.786? (a) 0.6 (b) 0.06 (c) 6 (d) 0.006
  9. 9.5/8 + 2/4 = ? (a) 1 (b) 9/8 (c) 7/12 (d) 5/4
  10. 10.2/3 + 3/4 = ? (a) 4/3 (b) 3/2 (c) 5/7 (d) 17/12
  11. 11.Every pair follows the same rule: 2 : 1, 4 : 13, 8 : 61. What is 6 : ? (a) 37 (b) 34 (c) 33 (d) 32
  12. 12.Which fraction is greater: 1/6 or 2/3? (a) They are equal (b) 1/6 (c) 2/3
  13. 13.Every pair follows the same rule: 3 : 13, 6 : 40, 8 : 68. What is 2 : ? (a) 9 (b) 8 (c) 12 (d) 7
  14. 14.A shopkeeper buys a toy for ₹1000 and sells it for ₹1150. What is his profit percent? (a) 16% (b) 10% (c) 20% (d) 15%
  15. 15.1/2 + 1/6 = ? (a) 1/4 (b) 5/6 (c) 1/2 (d) 2/3
  16. 16.Every pair follows the same rule: 2 : 4, 7 : 49, 9 : 81. What is 8 : ? (a) 10 (b) 65 (c) 64 (d) 16
  17. 17.Every pair follows the same rule: 4 : 16, 5 : 25, 9 : 81. What is 2 : ? (a) 8 (b) 14 (c) 5 (d) 4
  18. 18.If 7 kites cost ₹98, how much do 8 kites cost? (a) ₹126 (b) ₹99 (c) ₹784 (d) ₹112
  19. 19.If 7 March is a Tuesday, what day of the week is 21 March? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
  20. 20.What is the average of all the whole numbers from 47 to 61? (a) 7 (b) 55 (c) 54 (d) 14
  21. 21.What is the average of all the whole numbers from 30 to 68? (a) 49 (b) 38 (c) 19 (d) 50
  22. 22.₹6000 is invested at 9% per year simple interest. What is the amount after 4 years? (a) ₹8700 (b) ₹8160 (c) ₹6540 (d) ₹2160
  23. 23.6/7 + 1/5 = ? (a) 7/12 (b) 37/35 (c) 38/35 (d) 36/35
  24. 24.If 7x + 18 = 3x + 34, what is x? (a) 13 (b) 5 (c) 6 (d) 4
  25. 25.What is the remainder when 901 is divided by 12? (a) 11 (b) 1 (c) 2 (d) 0
  26. 26.What is the simple interest on ₹3000 at 9% per year for 2 years? (a) ₹3540 (b) ₹810 (c) ₹270 (d) ₹540
  27. 27.In how many years will ₹3500 earn ₹980 simple interest at 7% per year? (a) 3 years (b) 4 years (c) 8 years (d) 5 years
  28. 28.Which fraction is greater: 5/7 or 4/5? (a) 5/7 (b) 4/5 (c) They are equal
  29. 29.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 45 cm (b) 54 cm (c) 27 cm (d) 162 cm
  30. 30.₹105 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹21 (b) ₹105 (c) ₹84 (d) ₹85
  31. 31.If x/5 + 15 = 25, what is x? (a) 110 (b) 200 (c) 10 (d) 50
  32. 32.What is the smallest number of sweets that can be shared equally among 6 children or among 9 children, with none left over? (a) 36 (b) 54 (c) 15 (d) 18
  33. 33.Every pair follows the same rule: 2 : 8, 3 : 27, 4 : 64. What is 5 : ? (a) 11 (b) 101 (c) 20 (d) 125
  34. 34.What is the average of 61, 89, 87, 64 and 69? (a) 75 (b) 76 (c) 73 (d) 74
  35. 35.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) 120 min (b) 60 min (c) 2 min (d) 22 min
  36. 36.Every pair follows the same rule: 2 : 1, 5 : 10, 7 : 16. What is 3 : ? (a) 6 (b) 3 (c) 4 (d) 5
  37. 37.Every pair follows the same rule: 4 : 21, 5 : 22, 8 : 25. What is 9 : ? (a) 25 (b) 27 (c) 28 (d) 26
  38. 38.What is 1/2 of 6? (a) 4 (b) 6 (c) 2 (d) 3
  39. 39.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 54 (c) 66 (d) 16
  40. 40.What is the smallest number of sweets that can be shared equally among 8 children or among 14 children, with none left over? (a) 56 (b) 22 (c) 57 (d) 112

Answer key

  1. 19
  2. 29
  3. 6616
  4. 6
  5. 11
  6. 0.091
  7. ₹315
  8. 0.006
  9. 9/8
  10. 17/12
  11. 33
  12. 2/3
  13. 8
  14. 15%
  15. 2/3
  16. 64
  17. 4
  18. ₹112
  19. Tuesday
  20. 54
  21. 49
  22. ₹8160
  23. 37/35
  24. 4
  25. 1
  26. ₹540
  27. 4 years
  28. 4/5
  29. 54 cm
  30. ₹84
  31. 50
  32. 18
  33. 125
  34. 74
  35. 60 min
  36. 4
  37. 26
  38. 3
  39. 66
  40. 56

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