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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 207 · 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. 1.3.42 + 3.4 = ? (a) 6.82 (b) 3.76 (c) 6.72 (d) 6.92
  2. 2.What is the average of 42, 20, 47, 32 and 34? (a) 36 (b) 37 (c) 35 (d) 34
  3. 3.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 35 min (b) 300 min (c) 5 min (d) 60 min
  4. 4.If 27 September is a Friday, what day of the week is 19 October? (a) Monday (b) Saturday (c) Friday (d) Sunday
  5. 5.What is the average of all the whole numbers from 11 to 21? (a) 5 (b) 16 (c) 10 (d) 17
  6. 6.Every pair follows the same rule: 2 : 2, 3 : 7, 9 : 79. What is 6 : ? (a) 34 (b) 35 (c) 6 (d) 43
  7. 7.In how many years will ₹8500 earn ₹1190 simple interest at 7% per year? (a) 2 years (b) 3 years (c) 1 year (d) 4 years
  8. 8.What is the smallest number you must add to 86 to make it divisible by 3? (a) 2 (b) 1
  9. 9.Every pair follows the same rule: 2 : 3, 5 : 15, 6 : 19. What is 3 : ? (a) 6 (b) 8 (c) 4 (d) 7
  10. 10.What is the average of all the whole numbers from 12 to 20? (a) 4 (b) 17 (c) 8 (d) 16
  11. 11.1.89 + 6.6 = ? (a) 8.49 (b) 8.39 (c) 2.55 (d) 8.59
  12. 12.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 18 cm (c) 11 cm (d) 22 cm
  13. 13.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 21 min (b) 36 min (c) 108 min (d) 3 min
  14. 14.₹1500 is invested at 5% per year simple interest. What is the amount after 5 years? (a) ₹1575 (b) ₹1875 (c) ₹1950 (d) ₹375
  15. 15.9.13 + 3.2 = ? (a) 9.45 (b) 12.33 (c) 12.43 (d) 12.23
  16. 16.A bag marked ₹680 is sold at a 15% discount. What is its selling price? (a) ₹102 (b) ₹665 (c) ₹578 (d) ₹782
  17. 17.Today is Tuesday. What day of the week will it be after 27 days? (a) Sunday (b) Monday (c) Wednesday (d) Tuesday
  18. 18.A bag marked ₹1260 is sold at a 15% discount. What is its selling price? (a) ₹1071 (b) ₹189 (c) ₹1449 (d) ₹1245
  19. 19.If 8 March is a Monday, what day of the week is 23 March? (a) Tuesday (b) Thursday (c) Monday (d) Wednesday
  20. 20.If 26 March is a Tuesday, what day of the week is 1 April? (a) Wednesday (b) Monday (c) Sunday (d) Tuesday
  21. 21.Two ribbons are 35 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 28 cm (b) 35 cm (c) 7 cm (d) 1 cm
  22. 22.What is the value of the digit 8 in 73.849? (a) 8 (b) 0.8 (c) 0.008 (d) 0.08
  23. 23.₹1500 is invested at 8% per year simple interest. What is the amount after 4 years? (a) ₹2100 (b) ₹480 (c) ₹1620 (d) ₹1980
  24. 24.If 15 January is a Friday, what day of the week is 29 January? (a) Sunday (b) Friday (c) Thursday (d) Saturday
  25. 25.4 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 12 days (b) 4 days (c) 16 days (d) 5 days
  26. 26.₹451 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹287 (b) ₹164 (c) ₹328 (d) ₹41
  27. 27.Today is Monday. What day of the week will it be after 48 days? (a) Saturday (b) Monday (c) Tuesday (d) Sunday
  28. 28.9.38 + 9.7 = ? (a) 18.98 (b) 19.18 (c) 19.08 (d) 10.35
  29. 29.Today is Saturday. What day of the week will it be after 58 days? (a) Sunday (b) Monday (c) Tuesday (d) Wednesday
  30. 30.If 5x + 18 = 4x + 20, what is x? (a) 4 (b) 2 (c) 3 (d) 38
  31. 31.If 4x + 5 = x + 14, what is x? (a) 4 (b) 2 (c) 5 (d) 3
  32. 32.Every pair follows the same rule: 4 : 24, 6 : 36, 7 : 42. What is 5 : ? (a) 25 (b) 31 (c) 30 (d) 29
  33. 33.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 40 cm (c) 20 cm (d) 84 cm
  34. 34.If 6x − 21 = 21, what is x? (a) 42 (b) 7 (c) 6 (d) 8
  35. 35.What is the average of 44, 29, 49, 34, 47 and 19? (a) 39 (b) 38 (c) 37 (d) 36
  36. 36.What is the smallest number you must add to 469 to make it divisible by 9? (a) 7 (b) 8 (c) 1 (d) 6
  37. 37.6.41 + 2.8 = ? (a) 9.21 (b) 9.31 (c) 9.11 (d) 6.69
  38. 38.Which fraction is greater: 2/3 or 3/4? (a) They are equal (b) 2/3 (c) 3/4
  39. 39.₹4500 is invested at 12% per year simple interest. What is the amount after 4 years? (a) ₹7200 (b) ₹5040 (c) ₹2160 (d) ₹6660
  40. 40.What is the average of 68, 71, 70, 68 and 108? (a) 76 (b) 78 (c) 79 (d) 77

Answer key

  1. 6.82
  2. 35
  3. 60 min
  4. Saturday
  5. 16
  6. 34
  7. 2 years
  8. 1
  9. 7
  10. 16
  11. 8.49
  12. 22 cm
  13. 36 min
  14. ₹1875
  15. 12.33
  16. ₹578
  17. Monday
  18. ₹1071
  19. Tuesday
  20. Monday
  21. 7 cm
  22. 0.8
  23. ₹1980
  24. Friday
  25. 4 days
  26. ₹287
  27. Sunday
  28. 19.08
  29. Monday
  30. 2
  31. 3
  32. 30
  33. 40 cm
  34. 7
  35. 37
  36. 8
  37. 9.21
  38. 3/4
  39. ₹6660
  40. 77

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