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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 408 · 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.Which of these numbers is divisible by 6? (a) 5192 (b) 5197 (c) 5185 (d) 5190
  2. 2.If 15 October is a Monday, what day of the week is 6 November? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
  3. 3.Every pair follows the same rule: 3 : 7, 4 : 14, 7 : 47. What is 2 : ? (a) 3 (b) 2 (c) 6 (d) 1
  4. 4.What is the units digit of 2^60? (a) 4 (b) 8 (c) 6 (d) 2
  5. 5.What is the smallest number of sweets that can be shared equally among 15 children or among 18 children, with none left over? (a) 33 (b) 180 (c) 90 (d) 270
  6. 6.If 9x − 17 = 1, what is x? (a) 3 (b) 1 (c) 2 (d) 18
  7. 7.What is the value of the digit 2 in 52.497? (a) 0.02 (b) 0.2 (c) 20 (d) 2
  8. 8.2/5 + 3/4 = ? (a) 23/20 (b) 5/9 (c) 11/10 (d) 6/5
  9. 9.1/3 + 2/3 = ? (a) 2/3 (b) 4/3 (c) 1 (d) 1/2
  10. 10.Which fraction is greater: 10/11 or 2/7? (a) 2/7 (b) They are equal (c) 10/11
  11. 11.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 31? (a) 49 (b) 73 (c) 31 (d) 38
  12. 12.What is the average of 62, 79, 75, 73 and 81? (a) 76 (b) 74 (c) 73 (d) 75
  13. 13.What is 10% of 480? (a) 96 (b) 48 (c) 432 (d) 480
  14. 14.What is the smallest number you must add to 628 to make it divisible by 10? (a) 3 (b) 8 (c) 1 (d) 2
  15. 15.A batter has an average of 34 runs in 9 matches. How many runs are needed in the next match to raise the average to 40? (a) 60 (b) 94 (c) 40 (d) 46
  16. 16.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 160 cm (c) 48 cm (d) 56 cm
  17. 17.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 220 cm (b) 31 cm (c) 51 cm (d) 62 cm
  18. 18.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 18 cm (c) 16 cm (d) 20 cm
  19. 19.8.19 + 3.1 = ? (a) 11.19 (b) 11.29 (c) 11.39 (d) 8.5
  20. 20.Which is the smallest: 0.531, 0.6, 0.67, 0.018? (a) 0.531 (b) 0.6 (c) 0.67 (d) 0.018
  21. 21.Which of these numbers is divisible by 6? (a) 3006 (b) 3005 (c) 3015 (d) 3011
  22. 22.What is the units digit of 9^23? (a) 8 (b) 9 (c) 1 (d) 7
  23. 23.If 6x + 1 = 5x + 5, what is x? (a) 3 (b) 4 (c) 6 (d) 5
  24. 24.If 11 July is a Wednesday, what day of the week is 19 July? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
  25. 25.Which fraction is greater: 2/3 or 2/7? (a) They are equal (b) 2/3 (c) 2/7
  26. 26.₹598 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹46 (b) ₹230 (c) ₹368 (d) ₹299
  27. 27.₹450 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹350 (b) ₹225 (c) ₹50 (d) ₹100
  28. 28.1/2 + 2/3 = ? (a) 7/6 (b) 4/3 (c) 3/5 (d) 1
  29. 29.In how many years will ₹1000 earn ₹300 simple interest at 10% per year? (a) 4 years (b) 2 years (c) 6 years (d) 3 years
  30. 30.What is the average of 90, 83, 67, 77, 82 and 81? (a) 80 (b) 79 (c) 81 (d) 96
  31. 31.Which is the greatest: 0.28, 0.2, 0.086, 0.165? (a) 0.28 (b) 0.2 (c) 0.086 (d) 0.165
  32. 32.Two ribbons are 84 cm and 96 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 672 cm (b) 84 cm (c) 12 cm (d) 6 cm
  33. 33.What is 1/6 of 30? (a) 25 (b) 10 (c) 6 (d) 5
  34. 34.A shopkeeper buys a toy for ₹740 and sells it for ₹1110. What is his profit percent? (a) 45% (b) 55% (c) 51% (d) 50%
  35. 35.If 6x + 3 = x + 28, what is x? (a) 4 (b) 5 (c) 7 (d) 6
  36. 36.Which of these numbers is divisible by 3? (a) 564 (b) 563 (c) 566 (d) 569
  37. 37.What is the average of 54, 28, 48, 32, 36 and 54? (a) 41 (b) 44 (c) 43 (d) 42
  38. 38.Which fraction is greater: 1/10 or 2/9? (a) 1/10 (b) 2/9 (c) They are equal
  39. 39.4.17 + 9.4 = ? (a) 13.47 (b) 5.11 (c) 13.67 (d) 13.57
  40. 40.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 15 sq cm (c) 54 sq cm (d) 30 sq cm

Answer key

  1. 5190
  2. Tuesday
  3. 2
  4. 6
  5. 90
  6. 2
  7. 2
  8. 23/20
  9. 1
  10. 10/11
  11. 73
  12. 74
  13. 48
  14. 2
  15. 94
  16. 56 cm
  17. 62 cm
  18. 20 cm
  19. 11.29
  20. 0.018
  21. 3006
  22. 9
  23. 4
  24. Thursday
  25. 2/3
  26. ₹368
  27. ₹350
  28. 7/6
  29. 3 years
  30. 80
  31. 0.28
  32. 12 cm
  33. 5
  34. 50%
  35. 5
  36. 564
  37. 42
  38. 2/9
  39. 13.57
  40. 54 sq cm

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