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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 427 · 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: 2 : 4, 3 : 9, 6 : 36. What is 5 : ? (a) 7 (b) 27 (c) 25 (d) 10
  2. 2.What is the simple interest on ₹1000 at 4% per year for 4 years? (a) ₹200 (b) ₹160 (c) ₹1160 (d) ₹40
  3. 3.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 40 (b) 32 (c) 80 (d) 56
  4. 4.If 5 August is a Wednesday, what day of the week is 19 August? (a) Wednesday (b) Friday (c) Tuesday (d) Thursday
  5. 5.What is the smallest number of sweets that can be shared equally among 15 children or among 25 children, with none left over? (a) 75 (b) 375 (c) 150 (d) 40
  6. 6.Which fraction is greater: 8/11 or 1/6? (a) 1/6 (b) They are equal (c) 8/11
  7. 7.If 15 August is a Thursday, what day of the week is 29 August? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
  8. 8.A teacher has 10 pencils and 12 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 1 (c) 60 (d) 2
  9. 9.4.74 + 4.3 = ? (a) 5.17 (b) 9.04 (c) 9.14 (d) 8.94
  10. 10.If x/3 + 6 = 16, what is x? (a) 66 (b) 42 (c) 30 (d) 10
  11. 11.Which is the greatest: 0.675, 0.73, 0.081, 0.7? (a) 0.675 (b) 0.73 (c) 0.081 (d) 0.7
  12. 12.Every pair follows the same rule: 2 : 14, 5 : 17, 6 : 18. What is 9 : ? (a) 21 (b) 63 (c) 22 (d) 20
  13. 13.If 9x + 14 = 2x + 70, what is x? (a) 8 (b) 10 (c) 12 (d) 9
  14. 14.What is the simple interest on ₹3500 at 4% per year for 2 years? (a) ₹280 (b) ₹420 (c) ₹3780 (d) ₹140
  15. 15.Which fraction is greater: 1/4 or 3/5? (a) 3/5 (b) 1/4 (c) They are equal
  16. 16.If 4x + 8 = 36, what is x? (a) 28 (b) 7 (c) 11 (d) 8
  17. 17.What is the value of the digit 2 in 17.852? (a) 0.2 (b) 2 (c) 0.02 (d) 0.002
  18. 18.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 55 (c) 63 (d) 16
  19. 19.Today is Friday. What day of the week will it be after 50 days? (a) Saturday (b) Monday (c) Friday (d) Sunday
  20. 20.Which is the greatest: 0.82, 0.722, 0.8, 0.096? (a) 0.82 (b) 0.722 (c) 0.8 (d) 0.096
  21. 21.If 11 October is a Saturday, what day of the week is 15 November? (a) Friday (b) Sunday (c) Saturday (d) Monday
  22. 22.The simple interest on ₹1500 for 2 years is ₹90. What is the rate per year? (a) 6% (b) 2% (c) 4% (d) 3%
  23. 23.6 workers can build a wall in 8 days. How many days will 3 workers take, working at the same speed? (a) 11 days (b) 4 days (c) 5 days (d) 16 days
  24. 24.What is 40% of 620? (a) 2480 (b) 496 (c) 372 (d) 248
  25. 25.Which is the greatest: 0.628, 0.76, 0.064, 0.7? (a) 0.628 (b) 0.76 (c) 0.064 (d) 0.7
  26. 26.What is the value of the digit 2 in 62.897? (a) 0.2 (b) 0.02 (c) 2 (d) 20
  27. 27.If 9 January is a Wednesday, what day of the week is 22 January? (a) Tuesday (b) Wednesday (c) Thursday (d) Monday
  28. 28.What is the units digit of 2^56? (a) 2 (b) 4 (c) 6 (d) 8
  29. 29.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 8 cm (c) 3 cm (d) 4 cm
  30. 30.What is the simple interest on ₹2000 at 6% per year for 3 years? (a) ₹480 (b) ₹2360 (c) ₹120 (d) ₹360
  31. 31.8.41 + 3.1 = ? (a) 11.61 (b) 11.51 (c) 8.72 (d) 11.41
  32. 32.What is the smallest number of sweets that can be shared equally among 6 children or among 15 children, with none left over? (a) 60 (b) 21 (c) 30 (d) 90
  33. 33.Every pair follows the same rule: 2 : 8, 5 : 125, 6 : 216. What is 4 : ? (a) 16 (b) 34 (c) 64 (d) 10
  34. 34.Which of these numbers is divisible by 4? (a) 2150 (b) 2143 (c) 2144 (d) 2147
  35. 35.₹55 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹22 (b) ₹11 (c) ₹33 (d) ₹44
  36. 36.If 2 March is a Wednesday, what day of the week is 17 March? (a) Thursday (b) Friday (c) Saturday (d) Wednesday
  37. 37.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 33 sq cm (c) 13 sq cm (d) 26 sq cm
  38. 38.What is the units digit of 7^19? (a) 9 (b) 7 (c) 1 (d) 3
  39. 39.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 90 cm (b) 7 cm (c) 8 cm (d) 14 cm
  40. 40.If 7x − 7 = 56, what is x? (a) 7 (b) 10 (c) 63 (d) 9

Answer key

  1. 25
  2. ₹160
  3. 80
  4. Wednesday
  5. 75
  6. 8/11
  7. Thursday
  8. 2
  9. 9.04
  10. 30
  11. 0.73
  12. 21
  13. 8
  14. ₹280
  15. 3/5
  16. 7
  17. 0.002
  18. 63
  19. Saturday
  20. 0.82
  21. Saturday
  22. 3%
  23. 16 days
  24. 248
  25. 0.76
  26. 2
  27. Tuesday
  28. 6
  29. 3 cm
  30. ₹360
  31. 11.51
  32. 30
  33. 64
  34. 2144
  35. ₹33
  36. Thursday
  37. 22 sq cm
  38. 3
  39. 7 cm
  40. 9

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