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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 217 · 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.₹2500 is invested at 7% per year simple interest. What is the amount after 3 years? (a) ₹525 (b) ₹3025 (c) ₹2675 (d) ₹3200
  2. 2.What is 1/2 of 6? (a) 2 (b) 3 (c) 6 (d) 4
  3. 3.If 6x + 20 = 110, what is x? (a) 16 (b) 14 (c) 15 (d) 90
  4. 4.Which fraction is greater: 1/10 or 2/3? (a) 1/10 (b) They are equal (c) 2/3
  5. 5.2/4 + 1/2 = ? (a) 3/4 (b) 5/4 (c) 1 (d) 1/2
  6. 6.Every pair follows the same rule: 2 : 10, 5 : 25, 9 : 45. What is 7 : ? (a) 15 (b) 36 (c) 35 (d) 34
  7. 7.If 3x − 12 = 15, what is x? (a) 10 (b) 9 (c) 27 (d) 1
  8. 8.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 27 (b) 72 (c) 35 (d) 28
  9. 9.What is the units digit of 2^36? (a) 2 (b) 6 (c) 8 (d) 4
  10. 10.Which is the smallest: 0.729, 0.85, 0.017, 0.8? (a) 0.729 (b) 0.85 (c) 0.017 (d) 0.8
  11. 11.6/7 + 1/5 = ? (a) 7/12 (b) 36/35 (c) 38/35 (d) 37/35
  12. 12.A shopkeeper buys a toy for ₹1000 and sells it for ₹1500. What is his profit percent? (a) 45% (b) 55% (c) 51% (d) 50%
  13. 13.5/8 + 1/4 = ? (a) 1 (b) 3/4 (c) 1/2 (d) 7/8
  14. 14.Which of these numbers is divisible by 8? (a) 4644 (b) 4632 (c) 4625 (d) 4635
  15. 15.If 4 notebooks cost ₹12, how much do 9 notebooks cost? (a) ₹108 (b) ₹17 (c) ₹30 (d) ₹27
  16. 16.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 80 sq cm (c) 64 sq cm (d) 20 sq cm
  17. 17.1/2 + 1/2 = ? (a) 1 (b) 2 (c) 3/2 (d) 1/2
  18. 18.What is the smallest number you must add to 550 to make it divisible by 12? (a) 3 (b) 10 (c) 2 (d) 1
  19. 19.What is the average of 53, 61, 56 and 50? (a) 55 (b) 54 (c) 57 (d) 56
  20. 20.What is 40% of 660? (a) 264 (b) 396 (c) 2640 (d) 528
  21. 21.If 8 May is a Wednesday, what day of the week is 18 May? (a) Saturday (b) Friday (c) Sunday (d) Monday
  22. 22.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 77 (c) 45 (d) 40
  23. 23.What is the value of the digit 4 in 46.872? (a) 0.4 (b) 4 (c) 0.04 (d) 40
  24. 24.Which is the smallest: 0.446, 0.048, 0.5, 0.52? (a) 0.446 (b) 0.048 (c) 0.5 (d) 0.52
  25. 25.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 20 (b) 32 (c) 34 (d) 18
  26. 26.A shopkeeper buys a toy for ₹920 and sells it for ₹828. What is his loss percent? (a) 92% (b) 10% (c) 15% (d) 5%
  27. 27.₹1500 is invested at 8% per year simple interest. What is the amount after 3 years? (a) ₹360 (b) ₹1860 (c) ₹1620 (d) ₹1980
  28. 28.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 42 cm (c) 54 cm (d) 21 cm
  29. 29.₹2000 is invested at 7% per year simple interest. What is the amount after 3 years? (a) ₹2140 (b) ₹2560 (c) ₹2420 (d) ₹420
  30. 30.What is the remainder when 89 is divided by 3? (a) 1 (b) 0 (c) 2
  31. 31.If 6x − 5 = 7, what is x? (a) 2 (b) 12 (c) 3 (d) 1
  32. 32.Which fraction is greater: 1/3 or 1/4? (a) 1/3 (b) They are equal (c) 1/4
  33. 33.A batter has an average of 49 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 63 (c) 42 (d) 91
  34. 34.If 3 March is a Friday, what day of the week is 15 March? (a) Tuesday (b) Friday (c) Thursday (d) Wednesday
  35. 35.If 4 March is a Friday, what day of the week is 13 March? (a) Sunday (b) Monday (c) Tuesday (d) Saturday
  36. 36.A teacher has 14 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 49 (b) 1 (c) 14 (d) 7
  37. 37.If 14 March is a Tuesday, what day of the week is 23 March? (a) Thursday (b) Saturday (c) Wednesday (d) Friday
  38. 38.Today is Wednesday. What day of the week will it be after 61 days? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
  39. 39.What is the remainder when 233 is divided by 6? (a) 1 (b) 4 (c) 5 (d) 3
  40. 40.If 14 October is a Friday, what day of the week is 28 October? (a) Thursday (b) Sunday (c) Saturday (d) Friday

Answer key

  1. ₹3025
  2. 3
  3. 15
  4. 2/3
  5. 1
  6. 35
  7. 9
  8. 27
  9. 6
  10. 0.017
  11. 37/35
  12. 50%
  13. 7/8
  14. 4632
  15. ₹27
  16. 64 sq cm
  17. 1
  18. 2
  19. 55
  20. 264
  21. Saturday
  22. 77
  23. 40
  24. 0.048
  25. 34
  26. 10%
  27. ₹1860
  28. 42 cm
  29. ₹2420
  30. 2
  31. 2
  32. 1/3
  33. 91
  34. Wednesday
  35. Sunday
  36. 7
  37. Thursday
  38. Monday
  39. 5
  40. Friday

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