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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 719 · 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.Two bells ring every 15 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 525 min (b) 5 min (c) 105 min (d) 50 min
  2. 2.Every pair follows the same rule: 2 : 12, 4 : 24, 5 : 33. What is 9 : ? (a) 19 (b) 54 (c) 89 (d) 69
  3. 3.Today is Tuesday. What day of the week will it be after 64 days? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
  4. 4.If x/6 + 6 = 12, what is x? (a) 6 (b) 108 (c) 66 (d) 36
  5. 5.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  6. 6.What is the units digit of 7^19? (a) 3 (b) 9 (c) 7 (d) 1
  7. 7.Which of these numbers is divisible by 6? (a) 3476 (b) 3468 (c) 3472 (d) 3464
  8. 8.If 6 December is a Sunday, what day of the week is 18 December? (a) Sunday (b) Saturday (c) Friday (d) Thursday
  9. 9.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 26 min (b) 84 min (c) 2 min (d) 168 min
  10. 10.What is the units digit of 8^47? (a) 6 (b) 4 (c) 8 (d) 2
  11. 11.If 5x − 32 = 8, what is x? (a) 40 (b) 7 (c) 9 (d) 8
  12. 12.If 9 kites cost ₹63, how much do 7 kites cost? (a) ₹441 (b) ₹56 (c) ₹49 (d) ₹61
  13. 13.If 2x − 12 = 2, what is x? (a) 8 (b) 6 (c) 14 (d) 7
  14. 14.If 2x − 7 = 19, what is x? (a) 14 (b) 13 (c) 6 (d) 26
  15. 15.1/3 + 4/9 = ? (a) 5/12 (b) 2/3 (c) 8/9 (d) 7/9
  16. 16.Every pair follows the same rule: 2 : 15, 4 : 17, 6 : 19. What is 8 : ? (a) 23 (b) 21 (c) 20 (d) 22
  17. 17.What is the average of 48, 32, 39, 55, 53 and 25? (a) 44 (b) 41 (c) 42 (d) 43
  18. 18.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
  19. 19.If 20 July is a Sunday, what day of the week is 17 August? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
  20. 20.What is the simple interest on ₹9500 at 4% per year for 4 years? (a) ₹11020 (b) ₹380 (c) ₹1520 (d) ₹1900
  21. 21.What is 1/3 of 27? (a) 18 (b) 10 (c) 8 (d) 9
  22. 22.The simple interest on ₹1000 for 3 years is ₹90. What is the rate per year? (a) 2% (b) 9% (c) 4% (d) 3%
  23. 23.What is the smallest number of sweets that can be shared equally among 12 children or among 20 children, with none left over? (a) 240 (b) 60 (c) 120 (d) 32
  24. 24.A shopkeeper buys a toy for ₹700 and sells it for ₹805. What is his profit percent? (a) 15% (b) 20% (c) 16% (d) 10%
  25. 25.What is the remainder when 719 is divided by 10? (a) 7 (b) 1 (c) 8 (d) 9
  26. 26.Which is the smallest: 0.21, 0.2, 0.124, 0.011? (a) 0.21 (b) 0.2 (c) 0.124 (d) 0.011
  27. 27.What is the simple interest on ₹3000 at 3% per year for 5 years? (a) ₹450 (b) ₹90 (c) ₹540 (d) ₹3450
  28. 28.2.21 + 1.7 = ? (a) 3.91 (b) 4.01 (c) 3.81 (d) 2.38
  29. 29.If 9 July is a Saturday, what day of the week is 21 July? (a) Thursday (b) Friday (c) Wednesday (d) Saturday
  30. 30.Every pair follows the same rule: 3 : 14, 6 : 17, 8 : 19. What is 2 : ? (a) 13 (b) 15 (c) 12 (d) 14
  31. 31.Today is Tuesday. What day of the week will it be after 98 days? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
  32. 32.Every pair follows the same rule: 2 : 13, 3 : 18, 8 : 73. What is 5 : ? (a) 35 (b) 40 (c) 16 (d) 34
  33. 33.₹10000 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹10600 (b) ₹10200 (c) ₹600 (d) ₹10800
  34. 34.What is the average of all the whole numbers from 41 to 51? (a) 10 (b) 46 (c) 5 (d) 47
  35. 35.What is the smallest number you must add to 297 to make it divisible by 6? (a) 5 (b) 3 (c) 2 (d) 4
  36. 36.If 1 January is a Tuesday, what day of the week is 15 January? (a) Monday (b) Tuesday (c) Wednesday (d) Thursday
  37. 37.5.12 + 9.4 = ? (a) 6.06 (b) 14.62 (c) 14.52 (d) 14.42
  38. 38.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 22 cm (b) 35 cm (c) 117 cm (d) 44 cm
  39. 39.If x/5 + 9 = 20, what is x? (a) 91 (b) 11 (c) 55 (d) 145
  40. 40.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 16 sq cm (d) 20 sq cm

Answer key

  1. 105 min
  2. 89
  3. Wednesday
  4. 36
  5. 27 sq cm
  6. 3
  7. 3468
  8. Friday
  9. 84 min
  10. 2
  11. 8
  12. ₹49
  13. 7
  14. 13
  15. 7/9
  16. 21
  17. 42
  18. 100 sq cm
  19. Sunday
  20. ₹1520
  21. 9
  22. 3%
  23. 60
  24. 15%
  25. 9
  26. 0.011
  27. ₹450
  28. 3.91
  29. Thursday
  30. 13
  31. Tuesday
  32. 34
  33. ₹10600
  34. 46
  35. 3
  36. Tuesday
  37. 14.52
  38. 44 cm
  39. 55
  40. 16 sq cm

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