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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 915 · 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 60% of 740? (a) 296 (b) 888 (c) 4440 (d) 444
  2. 2.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 19 cm (c) 24 cm (d) 35 cm
  3. 3.If 3x + 2 = 17, what is x? (a) 6 (b) 5 (c) 15 (d) 4
  4. 4.If 9x + 19 = 127, what is x? (a) 13 (b) 11 (c) 12 (d) 108
  5. 5.A bag marked ₹1460 is sold at a 30% discount. What is its selling price? (a) ₹1898 (b) ₹1430 (c) ₹438 (d) ₹1022
  6. 6.What is the average of all the whole numbers from 32 to 42? (a) 5 (b) 37 (c) 38 (d) 10
  7. 7.A shopkeeper buys a toy for ₹580 and sells it for ₹435. What is his loss percent? (a) 26% (b) 20% (c) 30% (d) 25%
  8. 8.What is the smallest number of sweets that can be shared equally among 18 children or among 24 children, with none left over? (a) 72 (b) 432 (c) 144 (d) 42
  9. 9.If 6x − 9 = 33, what is x? (a) 7 (b) 42 (c) 4 (d) 8
  10. 10.What is the average of 14, 33, 31, 23 and 24? (a) 25 (b) 26 (c) 27 (d) 24
  11. 11.If 26 October is a Tuesday, what day of the week is 6 November? (a) Sunday (b) Saturday (c) Friday (d) Monday
  12. 12.If 2 May is a Wednesday, what day of the week is 12 May? (a) Saturday (b) Friday (c) Monday (d) Sunday
  13. 13.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 60 cm (c) 38 cm (d) 19 cm
  14. 14.4.07 + 9.9 = ? (a) 13.87 (b) 5.06 (c) 14.07 (d) 13.97
  15. 15.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 220 cm (b) 62 cm (c) 31 cm (d) 51 cm
  16. 16.What is the average of 41, 33, 40, 24, 24 and 6? (a) 27 (b) 28 (c) 30 (d) 29
  17. 17.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 84 (b) 27 (c) 42 (d) 126
  18. 18.What is the average of all the whole numbers from 53 to 59? (a) 56 (b) 57 (c) 3 (d) 6
  19. 19.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 16 min (c) 2 min (d) 30 min
  20. 20.What is the value of the digit 8 in 85.637? (a) 8 (b) 0.8 (c) 80 (d) 0.08
  21. 21.4.78 + 1.7 = ? (a) 6.58 (b) 4.95 (c) 6.38 (d) 6.48
  22. 22.What is the average of all the whole numbers from 49 to 61? (a) 6 (b) 12 (c) 56 (d) 55
  23. 23.Two ribbons are 40 cm and 90 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 50 cm (c) 40 cm (d) 5 cm
  24. 24.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 20 min (c) 14 min (d) 40 min
  25. 25.The simple interest on ₹8500 for 3 years is ₹510. What is the rate per year? (a) 2% (b) 1% (c) 3% (d) 6%
  26. 26.What is the units digit of 9^52? (a) 0 (b) 1 (c) 9 (d) 2
  27. 27.A shopkeeper buys a toy for ₹700 and sells it for ₹770. What is his profit percent? (a) 70% (b) 15% (c) 5% (d) 10%
  28. 28.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 72 cm (c) 26 cm (d) 34 cm
  29. 29.Every pair follows the same rule: 6 : 36, 8 : 64, 9 : 81. What is 5 : ? (a) 13 (b) 30 (c) 35 (d) 25
  30. 30.If 10 July is a Tuesday, what day of the week is 18 July? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
  31. 31.If 14 October is a Thursday, what day of the week is 10 November? (a) Friday (b) Wednesday (c) Thursday (d) Tuesday
  32. 32.A teacher has 28 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 140 (b) 1 (c) 7 (d) 28
  33. 33.In how many years will ₹7000 earn ₹1260 simple interest at 6% per year? (a) 2 years (b) 6 years (c) 3 years (d) 4 years
  34. 34.Two ribbons are 15 cm and 40 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 25 cm (b) 15 cm (c) 1 cm (d) 5 cm
  35. 35.1.41 + 4.2 = ? (a) 5.51 (b) 5.61 (c) 5.71 (d) 1.83
  36. 36.Two ribbons are 8 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) 2 cm (b) 28 cm (c) 8 cm (d) 4 cm
  37. 37.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 80 (b) 56 (c) 62 (d) 30
  38. 38.6.68 + 8.6 = ? (a) 7.54 (b) 15.38 (c) 15.18 (d) 15.28
  39. 39.Which fraction is greater: 1/8 or 2/3? (a) They are equal (b) 1/8 (c) 2/3
  40. 40.If 26 July is a Saturday, what day of the week is 1 August? (a) Sunday (b) Friday (c) Thursday (d) Saturday

Answer key

  1. 444
  2. 24 cm
  3. 5
  4. 12
  5. ₹1022
  6. 37
  7. 25%
  8. 72
  9. 7
  10. 25
  11. Saturday
  12. Saturday
  13. 38 cm
  14. 13.97
  15. 62 cm
  16. 28
  17. 42
  18. 56
  19. 30 min
  20. 80
  21. 6.48
  22. 55
  23. 10 cm
  24. 20 min
  25. 2%
  26. 1
  27. 10%
  28. 34 cm
  29. 25
  30. Wednesday
  31. Wednesday
  32. 7
  33. 3 years
  34. 5 cm
  35. 5.61
  36. 4 cm
  37. 80
  38. 15.28
  39. 2/3
  40. Friday

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