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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 883 · 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.Today is Thursday. What day of the week will it be after 15 days? (a) Sunday (b) Thursday (c) Friday (d) Saturday
  2. 2.What is the value of the digit 3 in 61.273? (a) 0.03 (b) 0.003 (c) 3 (d) 0.3
  3. 3.A shopkeeper buys a toy for ₹940 and sells it for ₹1128. What is his profit percent? (a) 21% (b) 15% (c) 20% (d) 25%
  4. 4.What is the value of the digit 4 in 48.612? (a) 0.04 (b) 0.4 (c) 4 (d) 40
  5. 5.If 24 September is a Thursday, what day of the week is 15 October? (a) Saturday (b) Thursday (c) Wednesday (d) Friday
  6. 6.Which fraction is greater: 1/3 or 3/10? (a) 3/10 (b) They are equal (c) 1/3
  7. 7.Which fraction is greater: 3/7 or 7/11? (a) They are equal (b) 7/11 (c) 3/7
  8. 8.6 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 33 days (b) 15 days (c) 34 days (d) 7 days
  9. 9.The simple interest on ₹3000 for 3 years is ₹270. What is the rate per year? (a) 4% (b) 3% (c) 2% (d) 9%
  10. 10.1/4 + 1/2 = ? (a) 1 (b) 3/4 (c) 1/2 (d) 1/3
  11. 11.Every pair follows the same rule: 4 : 14, 8 : 30, 9 : 34. What is 6 : ? (a) 21 (b) 23 (c) 16 (d) 22
  12. 12.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 68? (a) 76 (b) 40 (c) 68 (d) 100
  13. 13.8.36 + 5.5 = ? (a) 8.91 (b) 13.86 (c) 13.96 (d) 13.76
  14. 14.What is the average of 37, 22, 27, 27, 35 and 38? (a) 32 (b) 33 (c) 30 (d) 31
  15. 15.₹336 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹126 (b) ₹168 (c) ₹210 (d) ₹42
  16. 16.Which fraction is greater: 1/12 or 4/11? (a) 4/11 (b) They are equal (c) 1/12
  17. 17.If 3x + 14 = x + 24, what is x? (a) 19 (b) 5 (c) 6 (d) 7
  18. 18.Which fraction is greater: 3/5 or 3/4? (a) 3/4 (b) They are equal (c) 3/5
  19. 19.What is the remainder when 222 is divided by 10? (a) 3 (b) 2 (c) 8 (d) 1
  20. 20.What is 6/7 of 14? (a) 12 (b) 13 (c) 14 (d) 2
  21. 21.What is 1/7 of 70? (a) 60 (b) 20 (c) 10 (d) 11
  22. 22.If 9 October is a Friday, what day of the week is 18 October? (a) Saturday (b) Sunday (c) Tuesday (d) Monday
  23. 23.If x/2 + 5 = 11, what is x? (a) 17 (b) 32 (c) 6 (d) 12
  24. 24.If 4 mangoes cost ₹96, how much do 10 mangoes cost? (a) ₹264 (b) ₹240 (c) ₹960 (d) ₹102
  25. 25.Today is Friday. What day of the week will it be after 23 days? (a) Monday (b) Sunday (c) Tuesday (d) Saturday
  26. 26.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 52 (b) 45 (c) 56 (d) 94
  27. 27.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 25 cm (b) 156 cm (c) 38 cm (d) 50 cm
  28. 28.Two bells ring every 24 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 720 min (b) 6 min (c) 120 min (d) 54 min
  29. 29.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 18 cm (c) 19 cm (d) 15 cm
  30. 30.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 120 cm
  31. 31.What is the units digit of 8^37? (a) 2 (b) 8 (c) 6 (d) 4
  32. 32.1.74 + 8.8 = ? (a) 10.54 (b) 2.62 (c) 10.64 (d) 10.44
  33. 33.Every pair follows the same rule: 3 : 24, 4 : 32, 8 : 64. What is 9 : ? (a) 71 (b) 30 (c) 73 (d) 72
  34. 34.What is 10% of 120? (a) 24 (b) 120 (c) 108 (d) 12
  35. 35.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 26 sq cm (c) 13 sq cm (d) 40 sq cm
  36. 36.4 workers can build a wall in 9 days. How many days will 6 workers take, working at the same speed? (a) 6 days (b) 5 days (c) 11 days (d) 7 days
  37. 37.Which fraction is greater: 1/9 or 3/10? (a) 3/10 (b) 1/9 (c) They are equal
  38. 38.In how many years will ₹6500 earn ₹3575 simple interest at 11% per year? (a) 5 years (b) 10 years (c) 4 years (d) 6 years
  39. 39.What is the average of all the whole numbers from 43 to 81? (a) 19 (b) 38 (c) 62 (d) 63
  40. 40.A shopkeeper buys a toy for ₹440 and sells it for ₹660. What is his profit percent? (a) 45% (b) 51% (c) 55% (d) 50%

Answer key

  1. Friday
  2. 0.003
  3. 20%
  4. 40
  5. Thursday
  6. 1/3
  7. 7/11
  8. 33 days
  9. 3%
  10. 3/4
  11. 22
  12. 100
  13. 13.86
  14. 31
  15. ₹210
  16. 4/11
  17. 5
  18. 3/4
  19. 2
  20. 12
  21. 10
  22. Sunday
  23. 12
  24. ₹240
  25. Sunday
  26. 94
  27. 50 cm
  28. 120 min
  29. 18 cm
  30. 7 cm
  31. 8
  32. 10.54
  33. 72
  34. 12
  35. 40 sq cm
  36. 6 days
  37. 3/10
  38. 5 years
  39. 62
  40. 50%

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