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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 522 · 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 ribbons are 63 cm and 81 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 18 cm (c) 63 cm (d) 9 cm
  2. 2.What is the units digit of 4^33? (a) 4 (b) 6 (c) 3 (d) 5
  3. 3.If x/4 + 5 = 8, what is x? (a) 12 (b) 27 (c) 52 (d) 3
  4. 4.What is 1/3 of 21? (a) 7 (b) 14 (c) 8 (d) 6
  5. 5.7.26 + 2.2 = ? (a) 9.46 (b) 9.36 (c) 7.48 (d) 9.56
  6. 6.What is 1/3 of 18? (a) 12 (b) 6 (c) 7 (d) 5
  7. 7.If 10 November is a Wednesday, what day of the week is 9 December? (a) Thursday (b) Wednesday (c) Friday (d) Saturday
  8. 8.What is 15% of 120? (a) 180 (b) 36 (c) 102 (d) 18
  9. 9.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 15 (b) 93 (c) 60 (d) 48
  10. 10.What is the smallest number of sweets that can be shared equally among 4 children or among 10 children, with none left over? (a) 40 (b) 14 (c) 21 (d) 20
  11. 11.If 9x + 19 = 3x + 61, what is x? (a) 6 (b) 9 (c) 8 (d) 7
  12. 12.What is the average of 62, 53, 38 and 43? (a) 50 (b) 48 (c) 49 (d) 51
  13. 13.What is the average of all the whole numbers from 52 to 84? (a) 32 (b) 69 (c) 16 (d) 68
  14. 14.If x/3 + 4 = 15, what is x? (a) 57 (b) 11 (c) 33 (d) 41
  15. 15.Which of these numbers is divisible by 9? (a) 6516 (b) 6519 (c) 6515 (d) 6532
  16. 16.What is the value of the digit 3 in 34.259? (a) 0.03 (b) 0.3 (c) 3 (d) 30
  17. 17.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 32 sq cm (d) 40 sq cm
  18. 18.₹203 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹87 (b) ₹116 (c) ₹29 (d) ₹145
  19. 19.Every pair follows the same rule: 2 : 21, 3 : 22, 6 : 25. What is 7 : ? (a) 25 (b) 27 (c) 26 (d) 28
  20. 20.A bag marked ₹860 is sold at a 25% discount. What is its selling price? (a) ₹645 (b) ₹1075 (c) ₹835 (d) ₹215
  21. 21.Two bells ring every 18 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 756 min (b) 6 min (c) 60 min (d) 126 min
  22. 22.Which fraction is greater: 7/8 or 5/9? (a) They are equal (b) 7/8 (c) 5/9
  23. 23.Today is Saturday. What day of the week will it be after 97 days? (a) Friday (b) Thursday (c) Saturday (d) Sunday
  24. 24.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 160 sq cm (b) 52 sq cm (c) 26 sq cm (d) 176 sq cm
  25. 25.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm
  26. 26.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 20 (b) 62 (c) 60 (d) 78
  27. 27.Every pair follows the same rule: 3 : 9, 4 : 16, 7 : 49. What is 2 : ? (a) 6 (b) 4 (c) 8 (d) 5
  28. 28.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 12 (b) 25 (c) 29 (d) 16
  29. 29.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 117 cm
  30. 30.What is 5% of 140? (a) 70 (b) 14 (c) 7 (d) 133
  31. 31.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 28 (b) 9 (c) 8 (d) 61
  32. 32.₹1000 is invested at 5% per year simple interest. What is the amount after 4 years? (a) ₹1200 (b) ₹200 (c) ₹1250 (d) ₹1050
  33. 33.What is 1/4 of 36? (a) 10 (b) 18 (c) 9 (d) 27
  34. 34.Two ribbons are 21 cm and 56 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 7 cm (b) 35 cm (c) 21 cm (d) 1 cm
  35. 35.If 4x + 8 = 20, what is x? (a) 4 (b) 12 (c) 3 (d) 7
  36. 36.If 8 December is a Sunday, what day of the week is 23 December? (a) Sunday (b) Wednesday (c) Monday (d) Tuesday
  37. 37.What is the average of all the whole numbers from 49 to 83? (a) 66 (b) 17 (c) 67 (d) 34
  38. 38.If 5 January is a Saturday, what day of the week is 13 January? (a) Saturday (b) Tuesday (c) Monday (d) Sunday
  39. 39.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 160 cm (c) 11 cm (d) 22 cm
  40. 40.In how many years will ₹9500 earn ₹760 simple interest at 4% per year? (a) 1 year (b) 3 years (c) 4 years (d) 2 years

Answer key

  1. 9 cm
  2. 4
  3. 12
  4. 7
  5. 9.46
  6. 6
  7. Thursday
  8. 18
  9. 60
  10. 20
  11. 7
  12. 49
  13. 68
  14. 33
  15. 6516
  16. 30
  17. 32 sq cm
  18. ₹116
  19. 26
  20. ₹645
  21. 126 min
  22. 7/8
  23. Friday
  24. 160 sq cm
  25. 25 sq cm
  26. 78
  27. 4
  28. 25
  29. 10 cm
  30. 7
  31. 8
  32. ₹1200
  33. 9
  34. 7 cm
  35. 3
  36. Monday
  37. 66
  38. Sunday
  39. 11 cm
  40. 2 years

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