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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 457 · 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.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 32 sq cm (d) 40 sq cm
  2. 2.A teacher has 22 pencils and 55 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 22 (c) 33 (d) 11
  3. 3.₹144 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹12 (b) ₹84 (c) ₹60 (d) ₹72
  4. 4.What is the units digit of 9^24? (a) 1 (b) 2 (c) 9 (d) 0
  5. 5.What is the value of the digit 6 in 25.964? (a) 0.6 (b) 0.006 (c) 6 (d) 0.06
  6. 6.Which fraction is greater: 1/3 or 5/6? (a) 1/3 (b) 5/6 (c) They are equal
  7. 7.What is the units digit of 8^60? (a) 2 (b) 4 (c) 6 (d) 8
  8. 8.What is the average of 57, 48, 54, 55 and 86? (a) 60 (b) 59 (c) 61 (d) 75
  9. 9.The simple interest on ₹8000 for 3 years is ₹2880. What is the rate per year? (a) 13% (b) 11% (c) 12% (d) 36%
  10. 10.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 91 cm (b) 40 cm (c) 33 cm (d) 20 cm
  11. 11.What is 1/3 of 21? (a) 7 (b) 8 (c) 6 (d) 14
  12. 12.What is the value of the digit 9 in 79.532? (a) 0.9 (b) 90 (c) 9 (d) 0.09
  13. 13.What is the units digit of 4^31? (a) 6 (b) 4 (c) 5 (d) 3
  14. 14.The simple interest on ₹1500 for 5 years is ₹525. What is the rate per year? (a) 6% (b) 35% (c) 7% (d) 8%
  15. 15.A bag marked ₹1120 is sold at a 30% discount. What is its selling price? (a) ₹1456 (b) ₹784 (c) ₹336 (d) ₹1090
  16. 16.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 90 sq cm (c) 100 sq cm (d) 38 sq cm
  17. 17.Every pair follows the same rule: 2 : 1, 5 : 22, 6 : 33. What is 9 : ? (a) 77 (b) 79 (c) 66 (d) 78
  18. 18.What is the smallest number of sweets that can be shared equally among 12 children or among 15 children, with none left over? (a) 120 (b) 27 (c) 180 (d) 60
  19. 19.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) 108 min (b) 21 min (c) 36 min (d) 3 min
  20. 20.Which fraction is greater: 1/6 or 4/5? (a) They are equal (b) 4/5 (c) 1/6
  21. 21.8.83 + 5.2 = ? (a) 9.35 (b) 14.13 (c) 13.93 (d) 14.03
  22. 22.In how many years will ₹6500 earn ₹3250 simple interest at 10% per year? (a) 4 years (b) 5 years (c) 6 years (d) 10 years
  23. 23.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 45 min (c) 135 min (d) 3 min
  24. 24.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 2 days (b) 4 days (c) 19 days (d) 3 days
  25. 25.What is 10% of 580? (a) 522 (b) 58 (c) 116 (d) 580
  26. 26.A teacher has 36 pencils and 96 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 60 (c) 36 (d) 6
  27. 27.Today is Sunday. What day of the week will it be after 19 days? (a) Friday (b) Thursday (c) Sunday (d) Saturday
  28. 28.If 12 January is a Tuesday, what day of the week is 24 January? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
  29. 29.The simple interest on ₹8000 for 2 years is ₹1120. What is the rate per year? (a) 8% (b) 6% (c) 7% (d) 14%
  30. 30.Every pair follows the same rule: 2 : 6, 4 : 12, 9 : 27. What is 8 : ? (a) 25 (b) 24 (c) 23 (d) 12
  31. 31.1/8 + 1/4 = ? (a) 1/2 (b) 1/6 (c) 1/4 (d) 3/8
  32. 32.Every pair follows the same rule: 2 : 11, 3 : 16, 4 : 21. What is 8 : ? (a) 40 (b) 41 (c) 17 (d) 42
  33. 33.A teacher has 28 pencils and 49 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 28 (b) 1 (c) 7 (d) 21
  34. 34.Two ribbons are 12 cm and 16 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) 4 cm (c) 12 cm (d) 48 cm
  35. 35.₹5000 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹5300 (b) ₹5100 (c) ₹200 (d) ₹5200
  36. 36.A shopkeeper buys a toy for ₹780 and sells it for ₹546. What is his loss percent? (a) 30% (b) 31% (c) 25% (d) 35%
  37. 37.Which of these numbers is divisible by 6? (a) 598 (b) 589 (c) 603 (d) 594
  38. 38.Every pair follows the same rule: 4 : 21, 8 : 41, 9 : 46. What is 3 : ? (a) 16 (b) 15 (c) 20 (d) 17
  39. 39.What is the average of 70, 61, 59 and 78? (a) 66 (b) 69 (c) 68 (d) 67
  40. 40.Which fraction is greater: 9/10 or 3/4? (a) 3/4 (b) 9/10 (c) They are equal

Answer key

  1. 32 sq cm
  2. 11
  3. ₹84
  4. 1
  5. 0.06
  6. 5/6
  7. 6
  8. 60
  9. 12%
  10. 40 cm
  11. 7
  12. 9
  13. 4
  14. 7%
  15. ₹784
  16. 90 sq cm
  17. 78
  18. 60
  19. 36 min
  20. 4/5
  21. 14.03
  22. 5 years
  23. 45 min
  24. 3 days
  25. 58
  26. 12
  27. Friday
  28. Sunday
  29. 7%
  30. 24
  31. 3/8
  32. 41
  33. 7
  34. 4 cm
  35. ₹5200
  36. 30%
  37. 594
  38. 16
  39. 67
  40. 9/10

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