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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 467 · 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.Every pair follows the same rule: 5 : 22, 7 : 46, 8 : 61. What is 3 : ? (a) 7 (b) 5 (c) 20 (d) 6
  2. 2.What is the smallest number you must add to 321 to make it divisible by 4? (a) 1 (b) 2 (c) 3
  3. 3.1.09 + 1.9 = ? (a) 2.99 (b) 2.89 (c) 3.09 (d) 1.28
  4. 4.If 1 August is a Sunday, what day of the week is 15 August? (a) Monday (b) Tuesday (c) Sunday (d) Saturday
  5. 5.Every pair follows the same rule: 1 : 1, 2 : 8, 6 : 216. What is 5 : ? (a) 5 (b) 125 (c) 164 (d) 126
  6. 6.2/8 + 1/3 = ? (a) 3/11 (b) 5/8 (c) 13/24 (d) 7/12
  7. 7.If 5x − 3 = 17, what is x? (a) 20 (b) 5 (c) 3 (d) 4
  8. 8.A batter has an average of 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 63 (c) 80 (d) 127
  9. 9.A shopkeeper buys a toy for ₹740 and sells it for ₹814. What is his profit percent? (a) 15% (b) 10% (c) 5% (d) 74%
  10. 10.What is the remainder when 299 is divided by 10? (a) 7 (b) 1 (c) 8 (d) 9
  11. 11.Two bells ring every 12 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 180 min (c) 27 min (d) 60 min
  12. 12.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 20 cm (d) 42 cm
  13. 13.A shopkeeper buys a toy for ₹400 and sells it for ₹500. What is his profit percent? (a) 30% (b) 25% (c) 20% (d) 26%
  14. 14.₹6000 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹7200 (b) ₹6240 (c) ₹1200 (d) ₹7440
  15. 15.Every pair follows the same rule: 6 : 36, 7 : 49, 8 : 64. What is 5 : ? (a) 35 (b) 30 (c) 19 (d) 25
  16. 16.Today is Tuesday. What day of the week will it be after 93 days? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
  17. 17.₹319 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹203 (b) ₹145 (c) ₹174 (d) ₹29
  18. 18.What is the value of the digit 7 in 57.132? (a) 70 (b) 0.7 (c) 7 (d) 0.07
  19. 19.What is the average of all the whole numbers from 36 to 60? (a) 12 (b) 24 (c) 48 (d) 49
  20. 20.₹55 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹10 (b) ₹50 (c) ₹45 (d) ₹5
  21. 21.A shopkeeper buys a toy for ₹200 and sells it for ₹190. What is his loss percent? (a) 6% (b) 10% (c) 4% (d) 5%
  22. 22.A shopkeeper buys a toy for ₹680 and sells it for ₹952. What is his profit percent? (a) 41% (b) 35% (c) 40% (d) 45%
  23. 23.Every pair follows the same rule: 3 : 19, 4 : 20, 6 : 22. What is 2 : ? (a) 18 (b) 20 (c) 19 (d) 17
  24. 24.What is the remainder when 577 is divided by 10? (a) 3 (b) 6 (c) 8 (d) 7
  25. 25.If x/6 + 2 = 7, what is x? (a) 5 (b) 30 (c) 54 (d) 40
  26. 26.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 30 min (b) 2 min (c) 16 min (d) 60 min
  27. 27.If 12 December is a Sunday, what day of the week is 27 December? (a) Wednesday (b) Sunday (c) Monday (d) Tuesday
  28. 28.Every pair follows the same rule: 2 : 8, 3 : 12, 5 : 20. What is 9 : ? (a) 15 (b) 35 (c) 36 (d) 37
  29. 29.If 3x + 6 = 36, what is x? (a) 14 (b) 10 (c) 30 (d) 11
  30. 30.A teacher has 35 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 21 (b) 35 (c) 1 (d) 7
  31. 31.₹198 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹99 (b) ₹18 (c) ₹108 (d) ₹90
  32. 32.1/2 + 1/9 = ? (a) 2/3 (b) 11/18 (c) 5/9 (d) 2/11
  33. 33.Which of these numbers is divisible by 8? (a) 1390 (b) 1399 (c) 1405 (d) 1392
  34. 34.In how many years will ₹3500 earn ₹525 simple interest at 3% per year? (a) 5 years (b) 10 years (c) 6 years (d) 4 years
  35. 35.If x/4 + 9 = 21, what is x? (a) 75 (b) 48 (c) 12 (d) 120
  36. 36.Two bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 140 min (b) 70 min (c) 24 min (d) 2 min
  37. 37.What is the smallest number you must add to 483 to make it divisible by 6? (a) 3 (b) 5 (c) 2 (d) 4
  38. 38.The simple interest on ₹2500 for 3 years is ₹900. What is the rate per year? (a) 36% (b) 13% (c) 11% (d) 12%
  39. 39.What is 3/8 of 80? (a) 10 (b) 40 (c) 50 (d) 30
  40. 40.What is the simple interest on ₹2500 at 7% per year for 2 years? (a) ₹525 (b) ₹175 (c) ₹2850 (d) ₹350

Answer key

  1. 6
  2. 3
  3. 2.99
  4. Sunday
  5. 125
  6. 7/12
  7. 4
  8. 127
  9. 10%
  10. 9
  11. 60 min
  12. 26 cm
  13. 25%
  14. ₹7200
  15. 25
  16. Thursday
  17. ₹174
  18. 7
  19. 48
  20. ₹45
  21. 5%
  22. 40%
  23. 18
  24. 7
  25. 30
  26. 30 min
  27. Monday
  28. 36
  29. 10
  30. 7
  31. ₹108
  32. 11/18
  33. 1392
  34. 5 years
  35. 48
  36. 70 min
  37. 3
  38. 12%
  39. 30
  40. ₹350

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