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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 307 · 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. 1.5.55 + 3.9 = ? (a) 9.35 (b) 5.94 (c) 9.45 (d) 9.55
  2. 2.The simple interest on ₹7500 for 2 years is ₹1650. What is the rate per year? (a) 12% (b) 10% (c) 22% (d) 11%
  3. 3.What is the value of the digit 7 in 21.978? (a) 0.7 (b) 7 (c) 0.007 (d) 0.07
  4. 4.A shopkeeper buys a toy for ₹480 and sells it for ₹408. What is his loss percent? (a) 10% (b) 15% (c) 20% (d) 72%
  5. 5.₹1000 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹1050 (b) ₹1200 (c) ₹150 (d) ₹1150
  6. 6.What is 5% of 720? (a) 360 (b) 72 (c) 36 (d) 684
  7. 7.9.88 + 4.9 = ? (a) 10.37 (b) 14.78 (c) 14.68 (d) 14.88
  8. 8.If 3 notebooks cost ₹63, how much do 10 notebooks cost? (a) ₹70 (b) ₹630 (c) ₹210 (d) ₹231
  9. 9.Which of these numbers is divisible by 4? (a) 3583 (b) 3589 (c) 3585 (d) 3584
  10. 10.Two bells ring every 15 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 40 min (c) 75 min (d) 375 min
  11. 11.The simple interest on ₹8500 for 5 years is ₹5100. What is the rate per year? (a) 11% (b) 13% (c) 60% (d) 12%
  12. 12.In how many years will ₹6000 earn ₹720 simple interest at 3% per year? (a) 4 years (b) 3 years (c) 8 years (d) 5 years
  13. 13.What is the value of the digit 2 in 74.825? (a) 2 (b) 0.002 (c) 0.02 (d) 0.2
  14. 14.4.43 + 3.4 = ? (a) 4.77 (b) 7.93 (c) 7.73 (d) 7.83
  15. 15.What is the value of the digit 7 in 75.861? (a) 0.7 (b) 0.07 (c) 70 (d) 7
  16. 16.Two ribbons are 12 cm and 16 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 2 cm (c) 4 cm (d) 48 cm
  17. 17.If x/5 + 13 = 15, what is x? (a) 140 (b) 2 (c) 10 (d) 62
  18. 18.What is the smallest number of sweets that can be shared equally among 4 children or among 14 children, with none left over? (a) 28 (b) 29 (c) 18 (d) 56
  19. 19.Which fraction is greater: 1/5 or 4/11? (a) 4/11 (b) They are equal (c) 1/5
  20. 20.If 8x + 6 = 6x + 8, what is x? (a) 1 (b) 7 (c) 2 (d) 3
  21. 21.Which is the greatest: 0.064, 0.87, 0.8, 0.767? (a) 0.064 (b) 0.87 (c) 0.8 (d) 0.767
  22. 22.Which is the smallest: 0.7, 0.026, 0.625, 0.78? (a) 0.7 (b) 0.026 (c) 0.625 (d) 0.78
  23. 23.4 workers can build a wall in 9 days. How many days will 12 workers take, working at the same speed? (a) 27 days (b) 1 day (c) 17 days (d) 3 days
  24. 24.5/7 + 2/4 = ? (a) 5/4 (b) 7/11 (c) 17/14 (d) 33/28
  25. 25.What is the average of all the whole numbers from 31 to 69? (a) 50 (b) 38 (c) 19 (d) 51
  26. 26.What is the units digit of 2^59? (a) 2 (b) 6 (c) 4 (d) 8
  27. 27.If 3x + 9 = 42, what is x? (a) 12 (b) 11 (c) 17 (d) 33
  28. 28.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
  29. 29.What is the remainder when 276 is divided by 11? (a) 2 (b) 0 (c) 10 (d) 1
  30. 30.Which is the greatest: 0.72, 0.7, 0.095, 0.674? (a) 0.72 (b) 0.7 (c) 0.095 (d) 0.674
  31. 31.Which of these numbers is divisible by 4? (a) 391 (b) 395 (c) 392 (d) 399
  32. 32.If x/6 + 3 = 9, what is x? (a) 72 (b) 36 (c) 51 (d) 6
  33. 33.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 54 (b) 18 (c) 39 (d) 42
  34. 34.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 27 (c) 21 (d) 42
  35. 35.The simple interest on ₹6500 for 3 years is ₹390. What is the rate per year? (a) 6% (b) 1% (c) 3% (d) 2%
  36. 36.If x/4 + 14 = 25, what is x? (a) 11 (b) 44 (c) 86 (d) 156
  37. 37.9.44 + 9.3 = ? (a) 18.84 (b) 18.64 (c) 10.37 (d) 18.74
  38. 38.₹4000 is invested at 7% per year simple interest. What is the amount after 4 years? (a) ₹4280 (b) ₹1120 (c) ₹5400 (d) ₹5120
  39. 39.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) 18 min (d) 2 min
  40. 40.9.83 + 3.1 = ? (a) 12.83 (b) 12.93 (c) 13.03 (d) 10.14

Answer key

  1. 9.45
  2. 11%
  3. 0.07
  4. 15%
  5. ₹1150
  6. 36
  7. 14.78
  8. ₹210
  9. 3584
  10. 75 min
  11. 12%
  12. 4 years
  13. 0.02
  14. 7.83
  15. 70
  16. 4 cm
  17. 10
  18. 28
  19. 4/11
  20. 1
  21. 0.87
  22. 0.026
  23. 3 days
  24. 17/14
  25. 50
  26. 8
  27. 11
  28. 25 sq cm
  29. 1
  30. 0.72
  31. 392
  32. 36
  33. 54
  34. 42
  35. 2%
  36. 44
  37. 18.74
  38. ₹5120
  39. 28 min
  40. 12.93

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