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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 317 · 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: 1 : 1, 2 : 8, 5 : 125. What is 4 : ? (a) 86 (b) 65 (c) 64 (d) 4
  2. 2.If 7x − 11 = 45, what is x? (a) 8 (b) 56 (c) 9 (d) 7
  3. 3.What is the average of all the whole numbers from 31 to 45? (a) 38 (b) 14 (c) 39 (d) 7
  4. 4.Which is the greatest: 0.173, 0.2, 0.041, 0.25? (a) 0.173 (b) 0.2 (c) 0.041 (d) 0.25
  5. 5.A teacher has 6 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 21 (c) 3 (d) 6
  6. 6.Every pair follows the same rule: 3 : 27, 4 : 36, 5 : 45. What is 8 : ? (a) 73 (b) 72 (c) 71 (d) 32
  7. 7.1.61 + 9.4 = ? (a) 2.55 (b) 11.01 (c) 11.11 (d) 10.91
  8. 8.A bag marked ₹1080 is sold at a 15% discount. What is its selling price? (a) ₹1242 (b) ₹1065 (c) ₹162 (d) ₹918
  9. 9.Every pair follows the same rule: 5 : 35, 6 : 42, 9 : 63. What is 2 : ? (a) 13 (b) 15 (c) 14 (d) 32
  10. 10.Two ribbons are 88 cm and 99 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 88 cm (b) 1 cm (c) 792 cm (d) 11 cm
  11. 11.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 28 (b) 58 (c) 22 (d) 23
  12. 12.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 18 sq cm (d) 36 sq cm
  13. 13.Two bells ring every 20 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 140 min (c) 700 min (d) 55 min
  14. 14.If x/4 + 3 = 7, what is x? (a) 4 (b) 25 (c) 40 (d) 16
  15. 15.Every pair follows the same rule: 3 : 24, 7 : 56, 8 : 64. What is 2 : ? (a) 23 (b) 17 (c) 15 (d) 16
  16. 16.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 27 days (b) 3 days (c) 15 days (d) 4 days
  17. 17.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 20 (c) 44 (d) 32
  18. 18.If 5 July is a Monday, what day of the week is 15 July? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
  19. 19.Which of these numbers is divisible by 3? (a) 1056 (b) 1055 (c) 1061 (d) 1057
  20. 20.What is the average of 40, 17, 13 and 30? (a) 25 (b) 27 (c) 24 (d) 26
  21. 21.Two ribbons are 6 cm and 27 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 21 cm (c) 6 cm (d) 1 cm
  22. 22.The simple interest on ₹6500 for 4 years is ₹1300. What is the rate per year? (a) 5% (b) 20% (c) 4% (d) 6%
  23. 23.Every pair follows the same rule: 2 : 8, 8 : 32, 9 : 36. What is 3 : ? (a) 12 (b) 11 (c) 13 (d) 9
  24. 24.₹3500 is invested at 3% per year simple interest. What is the amount after 2 years? (a) ₹3815 (b) ₹210 (c) ₹3605 (d) ₹3710
  25. 25.A shopkeeper buys a toy for ₹760 and sells it for ₹798. What is his profit percent? (a) 6% (b) 38% (c) 10% (d) 5%
  26. 26.Every pair follows the same rule: 5 : 23, 7 : 25, 8 : 26. What is 3 : ? (a) 21 (b) 23 (c) 22 (d) 20
  27. 27.Today is Sunday. What day of the week will it be after 26 days? (a) Friday (b) Sunday (c) Thursday (d) Saturday
  28. 28.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 70 min (b) 350 min (c) 5 min (d) 45 min
  29. 29.2.79 + 3.9 = ? (a) 6.59 (b) 6.79 (c) 6.69 (d) 3.18
  30. 30.Two ribbons are 32 cm and 56 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 32 cm (b) 8 cm (c) 4 cm (d) 24 cm
  31. 31.What is 4/5 of 25? (a) 25 (b) 5 (c) 20 (d) 21
  32. 32.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 150 min (c) 25 min (d) 30 min
  33. 33.Every pair follows the same rule: 4 : 5, 5 : 7, 9 : 15. What is 6 : ? (a) 10 (b) 8 (c) 9 (d) 7
  34. 34.What is 10% of 420? (a) 84 (b) 378 (c) 42 (d) 420
  35. 35.Every pair follows the same rule: 5 : 25, 7 : 49, 8 : 64. What is 3 : ? (a) 15 (b) 9 (c) 10 (d) 23
  36. 36.A bag marked ₹440 is sold at a 10% discount. What is its selling price? (a) ₹484 (b) ₹430 (c) ₹396 (d) ₹44
  37. 37.Which of these numbers is divisible by 4? (a) 2149 (b) 2144 (c) 2146 (d) 2142
  38. 38.A batter has an average of 42 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 12 (c) 54 (d) 46
  39. 39.What is the value of the digit 9 in 96.512? (a) 9 (b) 0.9 (c) 0.09 (d) 90
  40. 40.9.92 + 7.4 = ? (a) 17.32 (b) 17.22 (c) 17.42 (d) 10.66

Answer key

  1. 64
  2. 8
  3. 38
  4. 0.25
  5. 3
  6. 72
  7. 11.01
  8. ₹918
  9. 14
  10. 11 cm
  11. 22
  12. 81 sq cm
  13. 140 min
  14. 16
  15. 16
  16. 3 days
  17. 44
  18. Thursday
  19. 1056
  20. 25
  21. 3 cm
  22. 5%
  23. 12
  24. ₹3710
  25. 5%
  26. 21
  27. Friday
  28. 70 min
  29. 6.69
  30. 8 cm
  31. 20
  32. 30 min
  33. 9
  34. 42
  35. 9
  36. ₹396
  37. 2144
  38. 54
  39. 90
  40. 17.32

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