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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 889 · 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 1/5 of 55? (a) 12 (b) 11 (c) 22 (d) 44
  2. 2.Which fraction is greater: 3/11 or 5/12? (a) 3/11 (b) They are equal (c) 5/12
  3. 3.The simple interest on ₹3000 for 2 years is ₹600. What is the rate per year? (a) 10% (b) 9% (c) 20% (d) 11%
  4. 4.If 2 mangoes cost ₹30, how much do 3 mangoes cost? (a) ₹60 (b) ₹45 (c) ₹31 (d) ₹90
  5. 5.7.98 + 3.9 = ? (a) 11.98 (b) 11.88 (c) 11.78 (d) 8.37
  6. 6.What is the units digit of 2^22? (a) 2 (b) 8 (c) 4 (d) 6
  7. 7.What is the value of the digit 1 in 69.175? (a) 1 (b) 0.01 (c) 0.001 (d) 0.1
  8. 8.If 5x + 5 = 60, what is x? (a) 55 (b) 11 (c) 12 (d) 13
  9. 9.In how many years will ₹8000 earn ₹1120 simple interest at 7% per year? (a) 2 years (b) 1 year (c) 3 years (d) 4 years
  10. 10.In how many years will ₹8500 earn ₹1360 simple interest at 4% per year? (a) 8 years (b) 5 years (c) 4 years (d) 3 years
  11. 11.What is 40% of 720? (a) 432 (b) 2880 (c) 576 (d) 288
  12. 12.A teacher has 18 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 45 (b) 3 (c) 9 (d) 18
  13. 13.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 4 cm (c) 3 cm (d) 2 cm
  14. 14.What is the average of all the whole numbers from 52 to 72? (a) 20 (b) 63 (c) 62 (d) 10
  15. 15.If 8 kites cost ₹128, how much do 3 kites cost? (a) ₹64 (b) ₹384 (c) ₹48 (d) ₹123
  16. 16.Every pair follows the same rule: 2 : 13, 5 : 16, 7 : 18. What is 6 : ? (a) 16 (b) 17 (c) 19 (d) 18
  17. 17.Every pair follows the same rule: 4 : 15, 8 : 31, 9 : 35. What is 2 : ? (a) 7 (b) 13 (c) 8 (d) 6
  18. 18.2/3 + 4/6 = ? (a) 7/6 (b) 3/2 (c) 4/3 (d) 2/3
  19. 19.Which fraction is greater: 5/7 or 1/4? (a) 5/7 (b) They are equal (c) 1/4
  20. 20.Every pair follows the same rule: 3 : 18, 5 : 28, 9 : 48. What is 6 : ? (a) 21 (b) 36 (c) 34 (d) 33
  21. 21.A shopkeeper buys a toy for ₹820 and sells it for ₹1148. What is his profit percent? (a) 35% (b) 45% (c) 40% (d) 41%
  22. 22.A batter has an average of 60 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 18 (b) 62 (c) 64 (d) 78
  23. 23.Every pair follows the same rule: 3 : 7, 5 : 23, 6 : 34. What is 9 : ? (a) 79 (b) 13 (c) 67 (d) 80
  24. 24.Which of these numbers is divisible by 6? (a) 4516 (b) 4504 (c) 4506 (d) 4511
  25. 25.Today is Saturday. What day of the week will it be after 87 days? (a) Thursday (b) Wednesday (c) Monday (d) Tuesday
  26. 26.Which of these numbers is divisible by 8? (a) 1985 (b) 2005 (c) 1992 (d) 1997
  27. 27.8.09 + 4.1 = ? (a) 8.5 (b) 12.29 (c) 12.09 (d) 12.19
  28. 28.What is the value of the digit 3 in 58.736? (a) 0.03 (b) 0.3 (c) 0.003 (d) 3
  29. 29.Which is the smallest: 0.042, 0.22, 0.192, 0.2? (a) 0.042 (b) 0.22 (c) 0.192 (d) 0.2
  30. 30.What is the value of the digit 6 in 67.594? (a) 0.06 (b) 0.6 (c) 6 (d) 60
  31. 31.Which is the greatest: 0.062, 0.61, 0.6, 0.582? (a) 0.062 (b) 0.61 (c) 0.6 (d) 0.582
  32. 32.The simple interest on ₹3000 for 4 years is ₹720. What is the rate per year? (a) 7% (b) 5% (c) 6% (d) 24%
  33. 33.What is the simple interest on ₹1000 at 12% per year for 2 years? (a) ₹1240 (b) ₹120 (c) ₹240 (d) ₹360
  34. 34.₹5000 is invested at 7% per year simple interest. What is the amount after 4 years? (a) ₹5350 (b) ₹1400 (c) ₹6400 (d) ₹6750
  35. 35.5 workers can build a wall in 6 days. How many days will 10 workers take, working at the same speed? (a) 12 days (b) 11 days (c) 3 days (d) 1 day
  36. 36.If 13 October is a Wednesday, what day of the week is 27 October? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
  37. 37.8.13 + 5.9 = ? (a) 13.93 (b) 14.13 (c) 8.72 (d) 14.03
  38. 38.What is the smallest number of sweets that can be shared equally among 6 children or among 10 children, with none left over? (a) 16 (b) 30 (c) 60 (d) 31
  39. 39.Today is Wednesday. What day of the week will it be after 84 days? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
  40. 40.Which is the smallest: 0.2, 0.063, 0.166, 0.26? (a) 0.2 (b) 0.063 (c) 0.166 (d) 0.26

Answer key

  1. 11
  2. 5/12
  3. 10%
  4. ₹45
  5. 11.88
  6. 4
  7. 0.1
  8. 11
  9. 2 years
  10. 4 years
  11. 288
  12. 9
  13. 2 cm
  14. 62
  15. ₹48
  16. 17
  17. 7
  18. 4/3
  19. 5/7
  20. 33
  21. 40%
  22. 78
  23. 79
  24. 4506
  25. Tuesday
  26. 1992
  27. 12.19
  28. 0.03
  29. 0.042
  30. 60
  31. 0.61
  32. 6%
  33. ₹240
  34. ₹6400
  35. 3 days
  36. Wednesday
  37. 14.03
  38. 30
  39. Wednesday
  40. 0.063

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