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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 715 · 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 3/7 of 14? (a) 2 (b) 6 (c) 8 (d) 7
  2. 2.What is 25% of 660? (a) 330 (b) 1650 (c) 165 (d) 495
  3. 3.If 2 mangoes cost ₹20, how much do 10 mangoes cost? (a) ₹110 (b) ₹200 (c) ₹100 (d) ₹28
  4. 4.₹112 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹56 (b) ₹96 (c) ₹112 (d) ₹16
  5. 5.2.06 + 1.6 = ? (a) 2.22 (b) 3.76 (c) 3.56 (d) 3.66
  6. 6.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 500 min (b) 5 min (c) 45 min (d) 100 min
  7. 7.What is the smallest number you must add to 112 to make it divisible by 5? (a) 4 (b) 2 (c) 3 (d) 1
  8. 8.If 2 mangoes cost ₹46, how much do 3 mangoes cost? (a) ₹47 (b) ₹69 (c) ₹92 (d) ₹138
  9. 9.If 1 March is a Saturday, what day of the week is 14 March? (a) Sunday (b) Thursday (c) Saturday (d) Friday
  10. 10.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 85 cm (b) 12 cm (c) 6 cm (d) 7 cm
  11. 11.Which is the smallest: 0.157, 0.077, 0.22, 0.2? (a) 0.157 (b) 0.077 (c) 0.22 (d) 0.2
  12. 12.₹279 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹279 (b) ₹31 (c) ₹248 (d) ₹249
  13. 13.What is the average of 64, 52, 60, 38 and 31? (a) 48 (b) 49 (c) 51 (d) 50
  14. 14.If 7x + 16 = 100, what is x? (a) 12 (b) 13 (c) 11 (d) 84
  15. 15.Which fraction is greater: 3/4 or 2/11? (a) 2/11 (b) They are equal (c) 3/4
  16. 16.What is the value of the digit 2 in 54.732? (a) 0.02 (b) 0.002 (c) 0.2 (d) 2
  17. 17.Today is Monday. What day of the week will it be after 61 days? (a) Saturday (b) Sunday (c) Monday (d) Friday
  18. 18.What is the average of all the whole numbers from 10 to 28? (a) 20 (b) 19 (c) 18 (d) 9
  19. 19.Every pair follows the same rule: 3 : 14, 4 : 21, 8 : 69. What is 5 : ? (a) 33 (b) 30 (c) 16 (d) 31
  20. 20.If 14 January is a Wednesday, what day of the week is 27 January? (a) Thursday (b) Monday (c) Wednesday (d) Tuesday
  21. 21.If 5x + 5 = x + 53, what is x? (a) 13 (b) 12 (c) 14 (d) 8
  22. 22.8 workers can build a wall in 14 days. How many days will 4 workers take, working at the same speed? (a) 18 days (b) 10 days (c) 7 days (d) 28 days
  23. 23.If 2 January is a Tuesday, what day of the week is 10 January? (a) Tuesday (b) Friday (c) Thursday (d) Wednesday
  24. 24.Which fraction is greater: 1/7 or 5/6? (a) They are equal (b) 5/6 (c) 1/7
  25. 25.Today is Friday. What day of the week will it be after 11 days? (a) Thursday (b) Wednesday (c) Tuesday (d) Monday
  26. 26.2.77 + 5.7 = ? (a) 8.47 (b) 8.37 (c) 8.57 (d) 3.34
  27. 27.Which of these numbers is divisible by 4? (a) 903 (b) 898 (c) 896 (d) 893
  28. 28.If 5x + 13 = 3x + 25, what is x? (a) 19 (b) 6 (c) 8 (d) 7
  29. 29.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 53? (a) 32 (b) 53 (c) 57 (d) 81
  30. 30.Every pair follows the same rule: 3 : 13, 5 : 29, 9 : 85. What is 2 : ? (a) 8 (b) 12 (c) 9 (d) 7
  31. 31.Every pair follows the same rule: 2 : 21, 3 : 22, 5 : 24. What is 7 : ? (a) 28 (b) 27 (c) 25 (d) 26
  32. 32.What is the smallest number you must add to 357 to make it divisible by 9? (a) 6 (b) 3 (c) 4 (d) 2
  33. 33.If 5 notebooks cost ₹120, how much do 6 notebooks cost? (a) ₹121 (b) ₹144 (c) ₹720 (d) ₹168
  34. 34.3.32 + 1.5 = ? (a) 3.47 (b) 4.92 (c) 4.82 (d) 4.72
  35. 35.Which is the greatest: 0.068, 0.24, 0.2, 0.172? (a) 0.068 (b) 0.24 (c) 0.2 (d) 0.172
  36. 36.Which is the smallest: 0.8, 0.85, 0.784, 0.055? (a) 0.8 (b) 0.85 (c) 0.784 (d) 0.055
  37. 37.Which fraction is greater: 2/5 or 2/3? (a) 2/3 (b) 2/5 (c) They are equal
  38. 38.What is the average of 49, 32, 43, 47 and 54? (a) 46 (b) 47 (c) 44 (d) 45
  39. 39.What is the average of 52, 49, 57 and 94? (a) 62 (b) 63 (c) 64 (d) 84
  40. 40.If 8 kites cost ₹192, how much do 12 kites cost? (a) ₹288 (b) ₹312 (c) ₹196 (d) ₹2304

Answer key

  1. 6
  2. 165
  3. ₹100
  4. ₹96
  5. 3.66
  6. 100 min
  7. 3
  8. ₹69
  9. Friday
  10. 6 cm
  11. 0.077
  12. ₹248
  13. 49
  14. 12
  15. 3/4
  16. 0.002
  17. Saturday
  18. 19
  19. 30
  20. Tuesday
  21. 12
  22. 28 days
  23. Wednesday
  24. 5/6
  25. Tuesday
  26. 8.47
  27. 896
  28. 6
  29. 81
  30. 8
  31. 26
  32. 3
  33. ₹144
  34. 4.82
  35. 0.24
  36. 0.055
  37. 2/3
  38. 45
  39. 63
  40. ₹288

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