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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 866 · 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 is the greatest: 0.39, 0.045, 0.3, 0.221? (a) 0.39 (b) 0.045 (c) 0.3 (d) 0.221
  2. 2.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 35? (a) 48 (b) 41 (c) 77 (d) 35
  3. 3.What is the smallest number of sweets that can be shared equally among 8 children or among 14 children, with none left over? (a) 57 (b) 112 (c) 56 (d) 22
  4. 4.Every pair follows the same rule: 3 : 7, 6 : 19, 9 : 31. What is 5 : ? (a) 14 (b) 16 (c) 15 (d) 9
  5. 5.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 12 cm (c) 6 cm (d) 3 cm
  6. 6.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 15 sq cm (c) 30 sq cm (d) 60 sq cm
  7. 7.What is 1/3 of 30? (a) 20 (b) 11 (c) 10 (d) 9
  8. 8.Today is Monday. What day of the week will it be after 77 days? (a) Monday (b) Sunday (c) Tuesday (d) Wednesday
  9. 9.If 5x − 11 = 29, what is x? (a) 9 (b) 40 (c) 7 (d) 8
  10. 10.If 5x + 13 = 63, what is x? (a) 9 (b) 10 (c) 11 (d) 50
  11. 11.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 28 sq cm (d) 49 sq cm
  12. 12.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 84 (b) 35 (c) 41 (d) 36
  13. 13.What is the average of 57, 39, 34, 38, 46 and 50? (a) 45 (b) 43 (c) 46 (d) 44
  14. 14.A shopkeeper buys a toy for ₹780 and sells it for ₹897. What is his profit percent? (a) 20% (b) 16% (c) 15% (d) 10%
  15. 15.5.46 + 3.1 = ? (a) 8.66 (b) 8.56 (c) 8.46 (d) 5.77
  16. 16.What is the average of 87, 90, 90 and 37? (a) 77 (b) 78 (c) 75 (d) 76
  17. 17.Which of these numbers is divisible by 9? (a) 3917 (b) 3908 (c) 3906 (d) 3899
  18. 18.Which is the smallest: 0.082, 0.81, 0.8, 0.797? (a) 0.082 (b) 0.81 (c) 0.8 (d) 0.797
  19. 19.Every pair follows the same rule: 4 : 19, 6 : 39, 9 : 84. What is 3 : ? (a) 11 (b) 18 (c) 12 (d) 13
  20. 20.Which fraction is greater: 6/7 or 1/3? (a) They are equal (b) 1/3 (c) 6/7
  21. 21.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 36 cm (c) 32 cm (d) 18 cm
  22. 22.If 2x + 29 = 57, what is x? (a) 43 (b) 14 (c) 15 (d) 28
  23. 23.Which fraction is greater: 2/7 or 11/12? (a) They are equal (b) 2/7 (c) 11/12
  24. 24.5.06 + 9.1 = ? (a) 14.16 (b) 14.06 (c) 14.26 (d) 5.97
  25. 25.₹238 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹204 (b) ₹119 (c) ₹34 (d) ₹238
  26. 26.₹21 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹7 (b) ₹21 (c) ₹15 (d) ₹14
  27. 27.What is 1/3 of 9? (a) 6 (b) 4 (c) 2 (d) 3
  28. 28.3.16 + 6.4 = ? (a) 3.8 (b) 9.56 (c) 9.46 (d) 9.66
  29. 29.6 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 12 days (c) 24 days (d) 25 days
  30. 30.Every pair follows the same rule: 4 : 36, 5 : 45, 9 : 81. What is 2 : ? (a) 18 (b) 34 (c) 19 (d) 17
  31. 31.Two ribbons are 10 cm and 35 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 25 cm (c) 1 cm (d) 5 cm
  32. 32.4.11 + 5.1 = ? (a) 4.62 (b) 9.21 (c) 9.31 (d) 9.11
  33. 33.If 3 March is a Monday, what day of the week is 14 March? (a) Friday (b) Saturday (c) Sunday (d) Thursday
  34. 34.A shopkeeper buys a toy for ₹960 and sells it for ₹672. What is his loss percent? (a) 35% (b) 30% (c) 31% (d) 25%
  35. 35.What is the remainder when 316 is divided by 5? (a) 1 (b) 4 (c) 2 (d) 0
  36. 36.Which fraction is greater: 10/11 or 1/5? (a) 1/5 (b) They are equal (c) 10/11
  37. 37.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
  38. 38.2.23 + 4.8 = ? (a) 2.71 (b) 7.13 (c) 6.93 (d) 7.03
  39. 39.4 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 8 days (d) 12 days
  40. 40.If 2x − 5 = 19, what is x? (a) 7 (b) 12 (c) 24 (d) 13

Answer key

  1. 0.39
  2. 77
  3. 56
  4. 15
  5. 3 cm
  6. 50 sq cm
  7. 10
  8. Monday
  9. 8
  10. 10
  11. 49 sq cm
  12. 35
  13. 44
  14. 15%
  15. 8.56
  16. 76
  17. 3906
  18. 0.082
  19. 12
  20. 6/7
  21. 36 cm
  22. 14
  23. 11/12
  24. 14.16
  25. ₹204
  26. ₹14
  27. 3
  28. 9.56
  29. 24 days
  30. 18
  31. 5 cm
  32. 9.21
  33. Friday
  34. 30%
  35. 1
  36. 10/11
  37. 36 sq cm
  38. 7.03
  39. 12 days
  40. 12

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