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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 531 · 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.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 168 min (b) 84 min (c) 2 min (d) 26 min
  2. 2.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 10 (b) 24 (c) 32 (d) 46
  3. 3.A teacher has 72 pencils and 84 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 72 (b) 504 (c) 12 (d) 6
  4. 4.If 9x − 3 = 24, what is x? (a) 4 (b) 3 (c) 2 (d) 27
  5. 5.If 3x + 27 = 60, what is x? (a) 33 (b) 29 (c) 12 (d) 11
  6. 6.The simple interest on ₹2500 for 4 years is ₹1000. What is the rate per year? (a) 11% (b) 10% (c) 40% (d) 9%
  7. 7.The simple interest on ₹8500 for 5 years is ₹2550. What is the rate per year? (a) 7% (b) 6% (c) 5% (d) 30%
  8. 8.If 7x + 5 = 3x + 17, what is x? (a) 5 (b) 2 (c) 3 (d) 4
  9. 9.₹9000 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹10440 (b) ₹10080 (c) ₹1080 (d) ₹9360
  10. 10.If 9x + 29 = 92, what is x? (a) 63 (b) 7 (c) 8 (d) 6
  11. 11.Every pair follows the same rule: 2 : 10, 3 : 15, 9 : 45. What is 8 : ? (a) 16 (b) 40 (c) 41 (d) 39
  12. 12.Every pair follows the same rule: 2 : 2, 4 : 10, 5 : 14. What is 3 : ? (a) 6 (b) 5 (c) 7 (d) 3
  13. 13.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 22 min (b) 60 min (c) 2 min (d) 120 min
  14. 14.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 25 (b) 30 (c) 150 (d) 60
  15. 15.Every pair follows the same rule: 2 : 16, 4 : 18, 6 : 20. What is 3 : ? (a) 16 (b) 18 (c) 17 (d) 24
  16. 16.If 3x + 16 = 31, what is x? (a) 5 (b) 6 (c) 15 (d) 4
  17. 17.What is 30% of 720? (a) 2160 (b) 504 (c) 432 (d) 216
  18. 18.Which of these numbers is divisible by 9? (a) 456 (b) 459 (c) 463 (d) 472
  19. 19.In how many years will ₹3000 earn ₹900 simple interest at 10% per year? (a) 6 years (b) 2 years (c) 3 years (d) 4 years
  20. 20.Today is Tuesday. What day of the week will it be after 57 days? (a) Tuesday (b) Friday (c) Thursday (d) Wednesday
  21. 21.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 63 cm (c) 25 cm (d) 32 cm
  22. 22.A teacher has 50 pencils and 80 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 30 (c) 50 (d) 5
  23. 23.A shopkeeper buys a toy for ₹480 and sells it for ₹576. What is his profit percent? (a) 15% (b) 25% (c) 96% (d) 20%
  24. 24.If 7x + 25 = 109, what is x? (a) 11 (b) 13 (c) 12 (d) 84
  25. 25.What is 60% of 500? (a) 600 (b) 300 (c) 3000 (d) 200
  26. 26.A shopkeeper buys a toy for ₹760 and sells it for ₹950. What is his profit percent? (a) 26% (b) 20% (c) 30% (d) 25%
  27. 27.Every pair follows the same rule: 1 : 1, 4 : 64, 5 : 125. What is 2 : ? (a) 2 (b) 7 (c) 8 (d) 9
  28. 28.What is the average of 60, 60, 49 and 39? (a) 53 (b) 51 (c) 54 (d) 52
  29. 29.What is the units digit of 4^60? (a) 5 (b) 4 (c) 6 (d) 7
  30. 30.What is 1/9 of 63? (a) 7 (b) 56 (c) 8 (d) 14
  31. 31.A shopkeeper buys a toy for ₹160 and sells it for ₹176. What is his profit percent? (a) 16% (b) 10% (c) 5% (d) 15%
  32. 32.Which is the smallest: 0.021, 0.81, 0.8, 0.773? (a) 0.021 (b) 0.81 (c) 0.8 (d) 0.773
  33. 33.Every pair follows the same rule: 4 : 22, 6 : 42, 7 : 55. What is 2 : ? (a) 10 (b) 20 (c) 9 (d) 11
  34. 34.What is the average of all the whole numbers from 22 to 36? (a) 30 (b) 29 (c) 14 (d) 7
  35. 35.Which of these numbers is divisible by 6? (a) 1757 (b) 1747 (c) 1742 (d) 1746
  36. 36.If 4x + 3 = 31, what is x? (a) 6 (b) 8 (c) 7 (d) 28
  37. 37.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 45 sq cm (b) 17 sq cm (c) 30 sq cm (d) 34 sq cm
  38. 38.If 4 March is a Monday, what day of the week is 15 March? (a) Thursday (b) Sunday (c) Friday (d) Saturday
  39. 39.Two ribbons are 54 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 54 cm (b) 3 cm (c) 378 cm (d) 9 cm
  40. 40.What is the simple interest on ₹7000 at 11% per year for 2 years? (a) ₹2310 (b) ₹8540 (c) ₹770 (d) ₹1540

Answer key

  1. 84 min
  2. 32
  3. 12
  4. 3
  5. 11
  6. 10%
  7. 6%
  8. 3
  9. ₹10080
  10. 7
  11. 40
  12. 6
  13. 60 min
  14. 30
  15. 17
  16. 5
  17. 216
  18. 459
  19. 3 years
  20. Wednesday
  21. 32 cm
  22. 10
  23. 20%
  24. 12
  25. 300
  26. 25%
  27. 8
  28. 52
  29. 6
  30. 7
  31. 10%
  32. 0.021
  33. 10
  34. 29
  35. 1746
  36. 7
  37. 30 sq cm
  38. Friday
  39. 9 cm
  40. ₹1540

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