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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 932 · 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.Today is Wednesday. What day of the week will it be after 44 days? (a) Sunday (b) Thursday (c) Saturday (d) Friday
  2. 2.If x/2 + 7 = 15, what is x? (a) 44 (b) 8 (c) 23 (d) 16
  3. 3.If 9x + 10 = 2x + 59, what is x? (a) 6 (b) 9 (c) 8 (d) 7
  4. 4.What is the smallest number you must add to 300 to make it divisible by 7? (a) 1 (b) 3 (c) 2 (d) 6
  5. 5.What is the average of all the whole numbers from 48 to 76? (a) 63 (b) 62 (c) 28 (d) 14
  6. 6.What is the smallest number of sweets that can be shared equally among 20 children or among 25 children, with none left over? (a) 45 (b) 500 (c) 200 (d) 100
  7. 7.Which of these numbers is divisible by 4? (a) 2947 (b) 2941 (c) 2950 (d) 2944
  8. 8.Every pair follows the same rule: 3 : 18, 5 : 30, 8 : 48. What is 4 : ? (a) 19 (b) 23 (c) 25 (d) 24
  9. 9.What is 1/3 of 12? (a) 5 (b) 3 (c) 8 (d) 4
  10. 10.What is 2/3 of 36? (a) 25 (b) 36 (c) 12 (d) 24
  11. 11.Today is Wednesday. What day of the week will it be after 29 days? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
  12. 12.Two bells ring every 10 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 35 min (b) 5 min (c) 50 min (d) 250 min
  13. 13.Two ribbons are 18 cm and 30 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 18 cm (c) 6 cm (d) 3 cm
  14. 14.Two bells ring every 12 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 336 min (b) 4 min (c) 40 min (d) 84 min
  15. 15.₹6000 is invested at 8% per year simple interest. What is the amount after 4 years? (a) ₹7920 (b) ₹8400 (c) ₹6480 (d) ₹1920
  16. 16.What is 10% of 440? (a) 396 (b) 88 (c) 440 (d) 44
  17. 17.If 3x + 17 = x + 23, what is x? (a) 4 (b) 5 (c) 20 (d) 3
  18. 18.Every pair follows the same rule: 2 : 14, 3 : 15, 8 : 20. What is 4 : ? (a) 28 (b) 15 (c) 17 (d) 16
  19. 19.Which is the smallest: 0.44, 0.065, 0.383, 0.4? (a) 0.44 (b) 0.065 (c) 0.383 (d) 0.4
  20. 20.1/3 + 2/8 = ? (a) 13/24 (b) 7/12 (c) 5/8 (d) 3/11
  21. 21.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 28 (b) 64 (c) 57 (d) 78
  22. 22.If 9 pens cost ₹171, how much do 2 pens cost? (a) ₹164 (b) ₹342 (c) ₹57 (d) ₹38
  23. 23.Which fraction is greater: 3/5 or 4/7? (a) 4/7 (b) 3/5 (c) They are equal
  24. 24.What is the smallest number you must add to 95 to make it divisible by 9? (a) 5 (b) 3 (c) 6 (d) 4
  25. 25.Which of these numbers is divisible by 4? (a) 3000 (b) 3007 (c) 2999 (d) 3003
  26. 26.Which fraction is greater: 4/5 or 2/7? (a) 4/5 (b) 2/7 (c) They are equal
  27. 27.Every pair follows the same rule: 1 : 1, 2 : 8, 6 : 216. What is 5 : ? (a) 126 (b) 5 (c) 164 (d) 125
  28. 28.₹1000 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹120 (b) ₹1120 (c) ₹1040 (d) ₹1160
  29. 29.If 6x + 6 = 2x + 14, what is x? (a) 5 (b) 3 (c) 2 (d) 1
  30. 30.4.58 + 3.1 = ? (a) 7.78 (b) 7.58 (c) 4.89 (d) 7.68
  31. 31.In how many years will ₹7500 earn ₹3750 simple interest at 10% per year? (a) 4 years (b) 5 years (c) 10 years (d) 6 years
  32. 32.What is the average of 21, 10, 38 and 23? (a) 23 (b) 22 (c) 24 (d) 25
  33. 33.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 6 : ? (a) 217 (b) 6 (c) 216 (d) 174
  34. 34.If 2x + 14 = 42, what is x? (a) 28 (b) 14 (c) 13 (d) 15
  35. 35.What is the average of all the whole numbers from 25 to 61? (a) 18 (b) 36 (c) 44 (d) 43
  36. 36.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 11 days (b) 4 days (c) 3 days (d) 2 days
  37. 37.What is the value of the digit 4 in 31.462? (a) 0.004 (b) 0.4 (c) 4 (d) 0.04
  38. 38.If 8 notebooks cost ₹160, how much do 12 notebooks cost? (a) ₹164 (b) ₹260 (c) ₹1920 (d) ₹240
  39. 39.4.97 + 2.5 = ? (a) 7.47 (b) 7.57 (c) 7.37 (d) 5.22
  40. 40.If 16 January is a Tuesday, what day of the week is 16 February? (a) Thursday (b) Sunday (c) Saturday (d) Friday

Answer key

  1. Friday
  2. 16
  3. 7
  4. 1
  5. 62
  6. 100
  7. 2944
  8. 24
  9. 4
  10. 24
  11. Thursday
  12. 50 min
  13. 6 cm
  14. 84 min
  15. ₹7920
  16. 44
  17. 3
  18. 16
  19. 0.065
  20. 7/12
  21. 78
  22. ₹38
  23. 3/5
  24. 4
  25. 3000
  26. 4/5
  27. 125
  28. ₹1120
  29. 2
  30. 7.68
  31. 5 years
  32. 23
  33. 216
  34. 14
  35. 43
  36. 3 days
  37. 0.4
  38. ₹240
  39. 7.47
  40. Friday

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