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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 67 · 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.What is the simple interest on ₹4000 at 8% per year for 3 years? (a) ₹4960 (b) ₹960 (c) ₹1280 (d) ₹320
  2. 2.Which of these numbers is divisible by 11? (a) 8844 (b) 8843 (c) 8861 (d) 8851
  3. 3.₹5500 is invested at 3% per year simple interest. What is the amount after 5 years? (a) ₹6325 (b) ₹5665 (c) ₹825 (d) ₹6490
  4. 4.Which fraction is greater: 1/3 or 3/10? (a) They are equal (b) 3/10 (c) 1/3
  5. 5.Every pair follows the same rule: 3 : 18, 6 : 21, 8 : 23. What is 9 : ? (a) 54 (b) 25 (c) 23 (d) 24
  6. 6.Every pair follows the same rule: 2 : 6, 6 : 18, 7 : 21. What is 9 : ? (a) 27 (b) 13 (c) 26 (d) 28
  7. 7.Today is Wednesday. What day of the week will it be after 89 days? (a) Tuesday (b) Wednesday (c) Sunday (d) Monday
  8. 8.What is the remainder when 334 is divided by 5? (a) 4 (b) 2 (c) 3 (d) 1
  9. 9.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 29? (a) 29 (b) 49 (c) 34 (d) 25
  10. 10.What is the units digit of 4^17? (a) 5 (b) 6 (c) 3 (d) 4
  11. 11.₹3500 is invested at 8% per year simple interest. What is the amount after 5 years? (a) ₹5180 (b) ₹4900 (c) ₹3780 (d) ₹1400
  12. 12.Every pair follows the same rule: 4 : 22, 5 : 27, 8 : 42. What is 3 : ? (a) 21 (b) 16 (c) 17 (d) 18
  13. 13.Which fraction is greater: 4/7 or 8/9? (a) 4/7 (b) 8/9 (c) They are equal
  14. 14.Today is Monday. What day of the week will it be after 52 days? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
  15. 15.1/8 + 1/2 = ? (a) 1/5 (b) 1/2 (c) 3/4 (d) 5/8
  16. 16.If x/2 + 7 = 9, what is x? (a) 11 (b) 2 (c) 4 (d) 32
  17. 17.₹423 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹282 (b) ₹47 (c) ₹188 (d) ₹235
  18. 18.In how many years will ₹1000 earn ₹400 simple interest at 8% per year? (a) 10 years (b) 5 years (c) 6 years (d) 4 years
  19. 19.What is the value of the digit 7 in 21.376? (a) 0.7 (b) 0.007 (c) 7 (d) 0.07
  20. 20.Which of these numbers is divisible by 8? (a) 2552 (b) 2548 (c) 2561 (d) 2553
  21. 21.A shopkeeper buys a toy for ₹1000 and sells it for ₹1250. What is his profit percent? (a) 30% (b) 26% (c) 20% (d) 25%
  22. 22.If 5x − 7 = 53, what is x? (a) 60 (b) 12 (c) 11 (d) 13
  23. 23.Which fraction is greater: 6/7 or 3/4? (a) 3/4 (b) They are equal (c) 6/7
  24. 24.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 21 cm (c) 42 cm (d) 54 cm
  25. 25.5/8 + 1/4 = ? (a) 1 (b) 7/8 (c) 1/2 (d) 3/4
  26. 26.If 8 January is a Wednesday, what day of the week is 24 January? (a) Saturday (b) Thursday (c) Sunday (d) Friday
  27. 27.Every pair follows the same rule: 4 : 12, 7 : 21, 9 : 27. What is 2 : ? (a) 5 (b) 10 (c) 7 (d) 6
  28. 28.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 12 (b) 67 (c) 11 (d) 32
  29. 29.What is the average of 60, 73, 66 and 89? (a) 73 (b) 72 (c) 71 (d) 96
  30. 30.A shopkeeper buys a toy for ₹660 and sells it for ₹693. What is his profit percent? (a) 33% (b) 10% (c) 5% (d) 6%
  31. 31.Every pair follows the same rule: 2 : 4, 3 : 8, 5 : 16. What is 9 : ? (a) 18 (b) 32 (c) 11 (d) 33
  32. 32.Which of these numbers is divisible by 4? (a) 3303 (b) 3294 (c) 3296 (d) 3297
  33. 33.What is 1/5 of 15? (a) 6 (b) 3 (c) 4 (d) 12
  34. 34.If 9x + 18 = 108, what is x? (a) 14 (b) 11 (c) 10 (d) 90
  35. 35.What is 5/8 of 80? (a) 60 (b) 50 (c) 30 (d) 10
  36. 36.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 17 cm (b) 30 cm (c) 32 cm (d) 34 cm
  37. 37.A shopkeeper buys a toy for ₹680 and sells it for ₹1020. What is his profit percent? (a) 55% (b) 45% (c) 51% (d) 50%
  38. 38.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
  39. 39.5/6 + 4/9 = ? (a) 23/18 (b) 4/3 (c) 11/9 (d) 3/5
  40. 40.Every pair follows the same rule: 2 : 4, 3 : 9, 4 : 16. What is 5 : ? (a) 10 (b) 7 (c) 25 (d) 23

Answer key

  1. ₹960
  2. 8844
  3. ₹6325
  4. 1/3
  5. 24
  6. 27
  7. Monday
  8. 4
  9. 49
  10. 4
  11. ₹4900
  12. 17
  13. 8/9
  14. Thursday
  15. 5/8
  16. 4
  17. ₹235
  18. 5 years
  19. 0.07
  20. 2552
  21. 25%
  22. 12
  23. 6/7
  24. 42 cm
  25. 7/8
  26. Friday
  27. 6
  28. 11
  29. 72
  30. 5%
  31. 32
  32. 3296
  33. 3
  34. 10
  35. 50
  36. 34 cm
  37. 50%
  38. 36 sq cm
  39. 23/18
  40. 25

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