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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 285 · 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.₹2000 is invested at 10% per year simple interest. What is the amount after 4 years? (a) ₹3000 (b) ₹2200 (c) ₹2800 (d) ₹800
  2. 2.Which fraction is greater: 2/5 or 7/11? (a) They are equal (b) 7/11 (c) 2/5
  3. 3.If 5x + 4 = 54, what is x? (a) 9 (b) 50 (c) 11 (d) 10
  4. 4.₹8000 is invested at 5% per year simple interest. What is the amount after 5 years? (a) ₹10000 (b) ₹10400 (c) ₹8400 (d) ₹2000
  5. 5.If 7 January is a Tuesday, what day of the week is 20 January? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
  6. 6.Which fraction is greater: 1/7 or 4/5? (a) 1/7 (b) They are equal (c) 4/5
  7. 7.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) 250 min (b) 5 min (c) 50 min (d) 35 min
  8. 8.What is the smallest number you must add to 259 to make it divisible by 5? (a) 2 (b) 1 (c) 4 (d) 3
  9. 9.Every pair follows the same rule: 2 : 4, 4 : 16, 8 : 64. What is 6 : ? (a) 8 (b) 36 (c) 40 (d) 12
  10. 10.If 4 August is a Tuesday, what day of the week is 18 August? (a) Wednesday (b) Tuesday (c) Monday (d) Thursday
  11. 11.A teacher has 21 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 7 (b) 1 (c) 35 (d) 21
  12. 12.If 2x + 1 = 29, what is x? (a) 28 (b) 15 (c) 14 (d) 13
  13. 13.A shopkeeper buys a toy for ₹760 and sells it for ₹722. What is his loss percent? (a) 38% (b) 5% (c) 6% (d) 10%
  14. 14.Two ribbons are 12 cm and 20 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 12 cm (c) 8 cm (d) 4 cm
  15. 15.Two ribbons are 24 cm and 36 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 72 cm (b) 6 cm (c) 24 cm (d) 12 cm
  16. 16.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm
  17. 17.What is the smallest number you must add to 550 to make it divisible by 8? (a) 3 (b) 1 (c) 6 (d) 2
  18. 18.If 15 August is a Friday, what day of the week is 18 September? (a) Wednesday (b) Saturday (c) Thursday (d) Friday
  19. 19.Which is the smallest: 0.095, 0.534, 0.6, 0.62? (a) 0.095 (b) 0.534 (c) 0.6 (d) 0.62
  20. 20.If 3x + 14 = 47, what is x? (a) 12 (b) 10 (c) 11 (d) 33
  21. 21.Two bells ring every 12 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 42 min (b) 360 min (c) 6 min (d) 60 min
  22. 22.In how many years will ₹9000 earn ₹5400 simple interest at 12% per year? (a) 10 years (b) 5 years (c) 6 years (d) 4 years
  23. 23.If 31 October is a Thursday, what day of the week is 18 November? (a) Sunday (b) Wednesday (c) Tuesday (d) Monday
  24. 24.What is the smallest number you must add to 712 to make it divisible by 9? (a) 7 (b) 8 (c) 6 (d) 1
  25. 25.A teacher has 24 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 6 (c) 12 (d) 72
  26. 26.Two ribbons are 15 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 9 cm (c) 3 cm (d) 15 cm
  27. 27.What is the remainder when 419 is divided by 9? (a) 7 (b) 4 (c) 5 (d) 6
  28. 28.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 70 sq cm (d) 60 sq cm
  29. 29.Which is the greatest: 0.766, 0.85, 0.8, 0.099? (a) 0.766 (b) 0.85 (c) 0.8 (d) 0.099
  30. 30.5.17 + 3.7 = ? (a) 8.77 (b) 8.87 (c) 5.54 (d) 8.97
  31. 31.Which fraction is greater: 3/11 or 7/9? (a) 3/11 (b) 7/9 (c) They are equal
  32. 32.Which is the greatest: 0.8, 0.89, 0.018, 0.775? (a) 0.8 (b) 0.89 (c) 0.018 (d) 0.775
  33. 33.If 11 October is a Wednesday, what day of the week is 23 October? (a) Monday (b) Sunday (c) Tuesday (d) Wednesday
  34. 34.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 60 sq cm (b) 40 sq cm (c) 22 sq cm (d) 44 sq cm
  35. 35.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 126 cm
  36. 36.What is the value of the digit 1 in 31.278? (a) 0.01 (b) 10 (c) 0.1 (d) 1
  37. 37.What is the smallest number you must add to 514 to make it divisible by 8? (a) 2 (b) 6 (c) 5 (d) 7
  38. 38.If 26 November is a Sunday, what day of the week is 14 December? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
  39. 39.What is the value of the digit 4 in 72.436? (a) 0.04 (b) 0.4 (c) 4 (d) 0.004
  40. 40.Every pair follows the same rule: 2 : 16, 4 : 32, 6 : 48. What is 9 : ? (a) 73 (b) 23 (c) 71 (d) 72

Answer key

  1. ₹2800
  2. 7/11
  3. 10
  4. ₹10000
  5. Monday
  6. 4/5
  7. 50 min
  8. 1
  9. 36
  10. Tuesday
  11. 7
  12. 14
  13. 5%
  14. 4 cm
  15. 12 cm
  16. 169 sq cm
  17. 2
  18. Thursday
  19. 0.095
  20. 11
  21. 60 min
  22. 5 years
  23. Monday
  24. 8
  25. 12
  26. 3 cm
  27. 5
  28. 60 sq cm
  29. 0.85
  30. 8.87
  31. 7/9
  32. 0.89
  33. Monday
  34. 40 sq cm
  35. 8 cm
  36. 1
  37. 6
  38. Thursday
  39. 0.4
  40. 72

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