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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 849 · 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 the remainder when 82 is divided by 7? (a) 6 (b) 4 (c) 2 (d) 5
  2. 2.Every pair follows the same rule: 1 : 1, 4 : 64, 5 : 125. What is 2 : ? (a) 7 (b) 8 (c) 9 (d) 2
  3. 3.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 30 (b) 56 (c) 28 (d) 54
  4. 4.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 52 cm (b) 26 cm (c) 165 cm (d) 41 cm
  5. 5.Two ribbons are 45 cm and 54 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 270 cm (b) 3 cm (c) 45 cm (d) 9 cm
  6. 6.What is 5/7 of 56? (a) 16 (b) 8 (c) 48 (d) 40
  7. 7.A batter has an average of 49 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 65 (b) 97 (c) 48 (d) 57
  8. 8.What is the simple interest on ₹6500 at 5% per year for 4 years? (a) ₹1625 (b) ₹1300 (c) ₹7800 (d) ₹325
  9. 9.If 2 mangoes cost ₹14, how much do 5 mangoes cost? (a) ₹17 (b) ₹42 (c) ₹70 (d) ₹35
  10. 10.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 8 sq cm (c) 12 sq cm (d) 16 sq cm
  11. 11.What is the average of 16, 20, 21, 18 and 75? (a) 32 (b) 29 (c) 30 (d) 31
  12. 12.8.19 + 3.1 = ? (a) 11.39 (b) 11.29 (c) 11.19 (d) 8.5
  13. 13.6 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 1 day (b) 15 days (c) 9 days (d) 16 days
  14. 14.What is the average of 21, 19, 27 and 61? (a) 31 (b) 33 (c) 32 (d) 34
  15. 15.₹1000 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹60 (b) ₹1060 (c) ₹1020 (d) ₹1080
  16. 16.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 15 sq cm (c) 30 sq cm (d) 54 sq cm
  17. 17.Which of these numbers is divisible by 6? (a) 1189 (b) 1198 (c) 1188 (d) 1184
  18. 18.Today is Monday. What day of the week will it be after 77 days? (a) Sunday (b) Monday (c) Wednesday (d) Tuesday
  19. 19.What is the remainder when 668 is divided by 9? (a) 7 (b) 2 (c) 1 (d) 3
  20. 20.Which fraction is greater: 2/3 or 1/4? (a) 1/4 (b) They are equal (c) 2/3
  21. 21.1.35 + 5.2 = ? (a) 6.55 (b) 6.45 (c) 6.65 (d) 1.87
  22. 22.If 7x + 7 = 56, what is x? (a) 7 (b) 8 (c) 9 (d) 49
  23. 23.Which fraction is greater: 1/10 or 1/3? (a) 1/3 (b) 1/10 (c) They are equal
  24. 24.8.01 + 8.2 = ? (a) 16.31 (b) 16.21 (c) 16.11 (d) 8.83
  25. 25.What is the value of the digit 9 in 43.957? (a) 9 (b) 0.9 (c) 0.009 (d) 0.09
  26. 26.The simple interest on ₹2000 for 2 years is ₹200. What is the rate per year? (a) 10% (b) 5% (c) 4% (d) 6%
  27. 27.Today is Friday. What day of the week will it be after 92 days? (a) Friday (b) Saturday (c) Sunday (d) Monday
  28. 28.Every pair follows the same rule: 2 : 8, 4 : 20, 8 : 68. What is 3 : ? (a) 8 (b) 9 (c) 12 (d) 13
  29. 29.What is the average of all the whole numbers from 43 to 77? (a) 61 (b) 17 (c) 60 (d) 34
  30. 30.5/6 + 1/6 = ? (a) 1/2 (b) 7/6 (c) 5/6 (d) 1
  31. 31.A bag marked ₹1700 is sold at a 20% discount. What is its selling price? (a) ₹2040 (b) ₹1360 (c) ₹1680 (d) ₹340
  32. 32.4/6 + 6/9 = ? (a) 4/3 (b) 2/3 (c) 25/18 (d) 23/18
  33. 33.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 196 sq cm (d) 52 sq cm
  34. 34.What is the units digit of 8^53? (a) 2 (b) 6 (c) 4 (d) 8
  35. 35.What is the simple interest on ₹9500 at 2% per year for 3 years? (a) ₹10070 (b) ₹190 (c) ₹570 (d) ₹760
  36. 36.2/7 + 1/3 = ? (a) 2/3 (b) 4/7 (c) 13/21 (d) 3/10
  37. 37.Today is Monday. What day of the week will it be after 71 days? (a) Tuesday (b) Monday (c) Thursday (d) Wednesday
  38. 38.Today is Tuesday. What day of the week will it be after 30 days? (a) Wednesday (b) Saturday (c) Thursday (d) Friday
  39. 39.What is the average of all the whole numbers from 16 to 56? (a) 37 (b) 36 (c) 40 (d) 20
  40. 40.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 28 min (c) 2 min (d) 18 min

Answer key

  1. 5
  2. 8
  3. 54
  4. 52 cm
  5. 9 cm
  6. 40
  7. 97
  8. ₹1300
  9. ₹35
  10. 12 sq cm
  11. 30
  12. 11.29
  13. 15 days
  14. 32
  15. ₹1060
  16. 54 sq cm
  17. 1188
  18. Monday
  19. 2
  20. 2/3
  21. 6.55
  22. 7
  23. 1/3
  24. 16.21
  25. 0.9
  26. 5%
  27. Saturday
  28. 13
  29. 60
  30. 1
  31. ₹1360
  32. 4/3
  33. 169 sq cm
  34. 8
  35. ₹570
  36. 13/21
  37. Tuesday
  38. Thursday
  39. 36
  40. 28 min

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