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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 154 · 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 30% of 860? (a) 516 (b) 602 (c) 258 (d) 2580
  2. 2.What is the average of 71, 51, 46 and 56? (a) 58 (b) 55 (c) 57 (d) 56
  3. 3.What is the smallest number of sweets that can be shared equally among 18 children or among 21 children, with none left over? (a) 378 (b) 126 (c) 252 (d) 39
  4. 4.If 6x − 41 = 7, what is x? (a) 48 (b) 7 (c) 9 (d) 8
  5. 5.Which is the greatest: 0.074, 0.5, 0.411, 0.52? (a) 0.074 (b) 0.5 (c) 0.411 (d) 0.52
  6. 6.Every pair follows the same rule: 2 : 10, 5 : 31, 8 : 70. What is 4 : ? (a) 18 (b) 20 (c) 22 (d) 12
  7. 7.What is 40% of 80? (a) 320 (b) 32 (c) 48 (d) 64
  8. 8.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 30 sq cm (d) 60 sq cm
  9. 9.Which fraction is greater: 2/3 or 6/11? (a) 2/3 (b) They are equal (c) 6/11
  10. 10.If 4x + 30 = 54, what is x? (a) 21 (b) 24 (c) 7 (d) 6
  11. 11.Every pair follows the same rule: 2 : 15, 4 : 21, 7 : 30. What is 5 : ? (a) 25 (b) 24 (c) 18 (d) 23
  12. 12.2/3 + 3/4 = ? (a) 17/12 (b) 5/7 (c) 4/3 (d) 3/2
  13. 13.If 10 June is a Thursday, what day of the week is 17 July? (a) Monday (b) Friday (c) Saturday (d) Sunday
  14. 14.If 16 January is a Saturday, what day of the week is 13 February? (a) Sunday (b) Monday (c) Friday (d) Saturday
  15. 15.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 40 (b) 80 (c) 32 (d) 104
  16. 16.What is the remainder when 318 is divided by 8? (a) 5 (b) 7 (c) 6 (d) 2
  17. 17.If 28 April is a Tuesday, what day of the week is 2 May? (a) Monday (b) Sunday (c) Saturday (d) Friday
  18. 18.If 4 pens cost ₹100, how much do 10 pens cost? (a) ₹275 (b) ₹106 (c) ₹1000 (d) ₹250
  19. 19.Which fraction is greater: 4/9 or 1/6? (a) 4/9 (b) They are equal (c) 1/6
  20. 20.If 3x + 6 = x + 26, what is x? (a) 5 (b) 16 (c) 10 (d) 11
  21. 21.If 8x − 73 = 47, what is x? (a) 14 (b) 120 (c) 15 (d) 16
  22. 22.What is 25% of 80? (a) 200 (b) 40 (c) 60 (d) 20
  23. 23.What is the average of 44, 45, 40, 62 and 84? (a) 57 (b) 54 (c) 55 (d) 56
  24. 24.What is the remainder when 234 is divided by 8? (a) 2 (b) 1 (c) 3 (d) 6
  25. 25.What is the value of the digit 9 in 29.548? (a) 90 (b) 9 (c) 0.9 (d) 0.09
  26. 26.If x/2 + 2 = 5, what is x? (a) 6 (b) 3 (c) 8 (d) 14
  27. 27.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 18 cm (b) 31 cm (c) 36 cm (d) 65 cm
  28. 28.1/4 + 1/2 = ? (a) 3/4 (b) 1/2 (c) 1 (d) 1/3
  29. 29.₹516 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹215 (b) ₹43 (c) ₹258 (d) ₹301
  30. 30.Every pair follows the same rule: 1 : 1, 3 : 27, 6 : 216. What is 5 : ? (a) 125 (b) 153 (c) 126 (d) 5
  31. 31.Which fraction is greater: 1/6 or 9/11? (a) They are equal (b) 9/11 (c) 1/6
  32. 32.If x/2 + 7 = 11, what is x? (a) 36 (b) 15 (c) 8 (d) 4
  33. 33.Which fraction is greater: 6/7 or 3/5? (a) They are equal (b) 3/5 (c) 6/7
  34. 34.If 20 March is a Saturday, what day of the week is 9 April? (a) Sunday (b) Friday (c) Saturday (d) Thursday
  35. 35.What is the remainder when 191 is divided by 7? (a) 5 (b) 1 (c) 3 (d) 2
  36. 36.Today is Tuesday. What day of the week will it be after 55 days? (a) Sunday (b) Tuesday (c) Monday (d) Wednesday
  37. 37.Two ribbons are 12 cm and 15 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) 60 cm (c) 1 cm (d) 12 cm
  38. 38.If 5x + 7 = 27, what is x? (a) 5 (b) 4 (c) 3 (d) 20
  39. 39.If 4x + 14 = x + 50, what is x? (a) 11 (b) 13 (c) 12 (d) 14
  40. 40.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 32 sq cm (d) 81 sq cm

Answer key

  1. 258
  2. 56
  3. 126
  4. 8
  5. 0.52
  6. 22
  7. 32
  8. 225 sq cm
  9. 2/3
  10. 6
  11. 24
  12. 17/12
  13. Saturday
  14. Saturday
  15. 104
  16. 6
  17. Saturday
  18. ₹250
  19. 4/9
  20. 10
  21. 15
  22. 20
  23. 55
  24. 2
  25. 9
  26. 6
  27. 36 cm
  28. 3/4
  29. ₹301
  30. 125
  31. 9/11
  32. 8
  33. 6/7
  34. Friday
  35. 2
  36. Monday
  37. 3 cm
  38. 4
  39. 12
  40. 64 sq cm

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