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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 360 · 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. 1.5/6 + 1/9 = ? (a) 8/9 (b) 1 (c) 17/18 (d) 2/5
  2. 2.₹7000 is invested at 6% per year simple interest. What is the amount after 5 years? (a) ₹9100 (b) ₹9520 (c) ₹7420 (d) ₹2100
  3. 3.Which fraction is greater: 1/3 or 1/4? (a) 1/3 (b) They are equal (c) 1/4
  4. 4.What is the simple interest on ₹4000 at 2% per year for 2 years? (a) ₹240 (b) ₹160 (c) ₹4160 (d) ₹80
  5. 5.Which is the smallest: 0.2, 0.21, 0.114, 0.025? (a) 0.2 (b) 0.21 (c) 0.114 (d) 0.025
  6. 6.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 40 (b) 55 (c) 30 (d) 65
  7. 7.The simple interest on ₹8000 for 2 years is ₹640. What is the rate per year? (a) 5% (b) 8% (c) 4% (d) 3%
  8. 8.₹7000 is invested at 5% per year simple interest. What is the amount after 4 years? (a) ₹7350 (b) ₹8750 (c) ₹1400 (d) ₹8400
  9. 9.If x/2 + 11 = 16, what is x? (a) 21 (b) 10 (c) 54 (d) 5
  10. 10.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 28 sq cm (d) 196 sq cm
  11. 11.2/5 + 1/4 = ? (a) 1/3 (b) 3/5 (c) 13/20 (d) 7/10
  12. 12.What is 2/5 of 55? (a) 33 (b) 22 (c) 23 (d) 11
  13. 13.If 7x + 8 = 71, what is x? (a) 8 (b) 10 (c) 63 (d) 9
  14. 14.What is the simple interest on ₹3000 at 4% per year for 2 years? (a) ₹120 (b) ₹3240 (c) ₹360 (d) ₹240
  15. 15.If 4x + 23 = 55, what is x? (a) 7 (b) 32 (c) 9 (d) 8
  16. 16.Every pair follows the same rule: 6 : 36, 7 : 49, 8 : 64. What is 3 : ? (a) 10 (b) 18 (c) 9 (d) 33
  17. 17.What is 3/4 of 32? (a) 25 (b) 32 (c) 24 (d) 8
  18. 18.Every pair follows the same rule: 2 : 4, 7 : 49, 9 : 81. What is 5 : ? (a) 10 (b) 25 (c) 17 (d) 7
  19. 19.6.55 + 7.9 = ? (a) 7.34 (b) 14.45 (c) 14.55 (d) 14.35
  20. 20.If 11 July is a Tuesday, what day of the week is 19 August? (a) Friday (b) Saturday (c) Sunday (d) Monday
  21. 21.₹3000 is invested at 6% per year simple interest. What is the amount after 5 years? (a) ₹3900 (b) ₹900 (c) ₹3180 (d) ₹4080
  22. 22.Which of these numbers is divisible by 9? (a) 2658 (b) 2655 (c) 2670 (d) 2651
  23. 23.If 3 mangoes cost ₹9, how much do 11 mangoes cost? (a) ₹17 (b) ₹33 (c) ₹36 (d) ₹99
  24. 24.A shopkeeper buys a toy for ₹880 and sells it for ₹1232. What is his profit percent? (a) 45% (b) 41% (c) 40% (d) 35%
  25. 25.Which of these numbers is divisible by 3? (a) 1435 (b) 1433 (c) 1434 (d) 1438
  26. 26.If 5x + 7 = 2x + 34, what is x? (a) 8 (b) 11 (c) 9 (d) 10
  27. 27.Every pair follows the same rule: 5 : 16, 6 : 20, 7 : 24. What is 9 : ? (a) 32 (b) 33 (c) 20 (d) 31
  28. 28.The simple interest on ₹3500 for 4 years is ₹700. What is the rate per year? (a) 6% (b) 5% (c) 20% (d) 4%
  29. 29.Every pair follows the same rule: 3 : 8, 4 : 10, 9 : 20. What is 5 : ? (a) 11 (b) 10 (c) 12 (d) 13
  30. 30.What is the value of the digit 8 in 47.813? (a) 0.008 (b) 8 (c) 0.08 (d) 0.8
  31. 31.1/2 + 1/3 = ? (a) 2/5 (b) 1 (c) 2/3 (d) 5/6
  32. 32.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 40 sq cm (c) 44 sq cm (d) 60 sq cm
  33. 33.If 1 July is a Friday, what day of the week is 13 July? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday
  34. 34.If 26 April is a Saturday, what day of the week is 1 May? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
  35. 35.What is the units digit of 3^31? (a) 9 (b) 1 (c) 7 (d) 3
  36. 36.Every pair follows the same rule: 4 : 16, 7 : 49, 8 : 64. What is 3 : ? (a) 15 (b) 12 (c) 10 (d) 9
  37. 37.Today is Wednesday. What day of the week will it be after 79 days? (a) Sunday (b) Thursday (c) Friday (d) Saturday
  38. 38.3/5 + 1/5 = ? (a) 3/5 (b) 4/5 (c) 1 (d) 2/5
  39. 39.Every pair follows the same rule: 2 : 1, 4 : 13, 5 : 22. What is 3 : ? (a) 7 (b) 5 (c) 4 (d) 6
  40. 40.Which fraction is greater: 1/3 or 8/9? (a) They are equal (b) 8/9 (c) 1/3

Answer key

  1. 17/18
  2. ₹9100
  3. 1/3
  4. ₹160
  5. 0.025
  6. 65
  7. 4%
  8. ₹8400
  9. 10
  10. 196 sq cm
  11. 13/20
  12. 22
  13. 9
  14. ₹240
  15. 8
  16. 9
  17. 24
  18. 25
  19. 14.45
  20. Saturday
  21. ₹3900
  22. 2655
  23. ₹33
  24. 40%
  25. 1434
  26. 9
  27. 32
  28. 5%
  29. 12
  30. 0.8
  31. 5/6
  32. 40 sq cm
  33. Wednesday
  34. Thursday
  35. 7
  36. 9
  37. Friday
  38. 4/5
  39. 6
  40. 8/9

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