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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 136 · 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.In how many years will ₹5500 earn ₹2475 simple interest at 9% per year? (a) 5 years (b) 4 years (c) 6 years (d) 10 years
  2. 2.In how many years will ₹7500 earn ₹3750 simple interest at 10% per year? (a) 5 years (b) 4 years (c) 10 years (d) 6 years
  3. 3.A batter has an average of 59 runs in 7 matches. How many runs are needed in the next match to raise the average to 65? (a) 48 (b) 65 (c) 107 (d) 71
  4. 4.₹451 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹41 (b) ₹328 (c) ₹369 (d) ₹123
  5. 5.What is the value of the digit 7 in 25.687? (a) 0.07 (b) 0.7 (c) 0.007 (d) 7
  6. 6.What is the units digit of 9^53? (a) 8 (b) 9 (c) 1 (d) 7
  7. 7.What is 20% of 780? (a) 624 (b) 1560 (c) 156 (d) 312
  8. 8.Which is the greatest: 0.749, 0.86, 0.021, 0.8? (a) 0.749 (b) 0.86 (c) 0.021 (d) 0.8
  9. 9.The simple interest on ₹4000 for 3 years is ₹960. What is the rate per year? (a) 24% (b) 7% (c) 9% (d) 8%
  10. 10.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 19 cm (d) 24 cm
  11. 11.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 8 days (b) 3 days (c) 6 days (d) 7 days
  12. 12.In how many years will ₹7500 earn ₹900 simple interest at 3% per year? (a) 3 years (b) 5 years (c) 4 years (d) 8 years
  13. 13.If 8x − 30 = 50, what is x? (a) 11 (b) 80 (c) 9 (d) 10
  14. 14.2.86 + 8.5 = ? (a) 3.71 (b) 11.26 (c) 11.46 (d) 11.36
  15. 15.4 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 12 days (b) 7 days (c) 28 days (d) 16 days
  16. 16.A shopkeeper buys a toy for ₹880 and sells it for ₹1100. What is his profit percent? (a) 30% (b) 25% (c) 20% (d) 26%
  17. 17.Today is Friday. What day of the week will it be after 22 days? (a) Friday (b) Monday (c) Sunday (d) Saturday
  18. 18.If 12 October is a Saturday, what day of the week is 27 October? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
  19. 19.A teacher has 15 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 25 (b) 15 (c) 1 (d) 5
  20. 20.What is the value of the digit 3 in 32.517? (a) 30 (b) 3 (c) 0.03 (d) 0.3
  21. 21.What is 5/9 of 36? (a) 24 (b) 4 (c) 16 (d) 20
  22. 22.Two ribbons are 8 cm and 12 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 24 cm (b) 4 cm (c) 2 cm (d) 8 cm
  23. 23.What is the simple interest on ₹1500 at 8% per year for 4 years? (a) ₹120 (b) ₹480 (c) ₹600 (d) ₹1980
  24. 24.What is the average of 45, 47, 25 and 15? (a) 34 (b) 32 (c) 44 (d) 33
  25. 25.A shopkeeper buys a toy for ₹540 and sells it for ₹756. What is his profit percent? (a) 41% (b) 45% (c) 40% (d) 35%
  26. 26.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 28 (b) 11 (c) 18 (d) 35
  27. 27.1.51 + 3.3 = ? (a) 4.91 (b) 4.71 (c) 4.81 (d) 1.84
  28. 28.Today is Thursday. What day of the week will it be after 98 days? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
  29. 29.If 7 kites cost ₹77, how much do 3 kites cost? (a) ₹33 (b) ₹73 (c) ₹44 (d) ₹231
  30. 30.What is the smallest number of sweets that can be shared equally among 6 children or among 10 children, with none left over? (a) 31 (b) 16 (c) 30 (d) 60
  31. 31.What is the units digit of 3^12? (a) 3 (b) 7 (c) 1 (d) 9
  32. 32.A batter has an average of 49 runs in 8 matches. How many runs are needed in the next match to raise the average to 53? (a) 85 (b) 57 (c) 53 (d) 36
  33. 33.Which is the greatest: 0.5, 0.52, 0.087, 0.454? (a) 0.5 (b) 0.52 (c) 0.087 (d) 0.454
  34. 34.Today is Monday. What day of the week will it be after 92 days? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
  35. 35.What is the remainder when 448 is divided by 9? (a) 6 (b) 8 (c) 7 (d) 2
  36. 36.Which is the smallest: 0.41, 0.025, 0.4, 0.334? (a) 0.41 (b) 0.025 (c) 0.4 (d) 0.334
  37. 37.If 12 August is a Wednesday, what day of the week is 25 August? (a) Tuesday (b) Wednesday (c) Monday (d) Thursday
  38. 38.If 9 notebooks cost ₹54, how much do 6 notebooks cost? (a) ₹324 (b) ₹42 (c) ₹51 (d) ₹36
  39. 39.8.49 + 9.3 = ? (a) 9.42 (b) 17.69 (c) 17.79 (d) 17.89
  40. 40.If x/4 + 11 = 20, what is x? (a) 9 (b) 124 (c) 69 (d) 36

Answer key

  1. 5 years
  2. 5 years
  3. 107
  4. ₹328
  5. 0.007
  6. 9
  7. 156
  8. 0.86
  9. 8%
  10. 22 cm
  11. 7 days
  12. 4 years
  13. 10
  14. 11.36
  15. 28 days
  16. 25%
  17. Saturday
  18. Sunday
  19. 5
  20. 30
  21. 20
  22. 4 cm
  23. ₹480
  24. 33
  25. 40%
  26. 35
  27. 4.81
  28. Thursday
  29. ₹33
  30. 30
  31. 1
  32. 85
  33. 0.52
  34. Tuesday
  35. 7
  36. 0.025
  37. Tuesday
  38. ₹36
  39. 17.79
  40. 36

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