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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 927 · 40 questions
TalentJR

How to solve it (Think in totals): Average = total ÷ how many; so total = average × how many. A number taken away = old total − new total. Evenly spaced numbers (like 10 to 20): average = (first + last) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 79 (b) 23 (c) 37 (d) 22
  2. 2.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 37 (b) 49 (c) 31 (d) 24
  3. 3.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 5 (b) 85 (c) 43 (d) 47
  4. 4.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 21 (b) 38 (c) 32 (d) 49
  5. 5.What is the average of 39, 44, 43, 46, 53 and 15? (a) 41 (b) 48 (c) 39 (d) 40
  6. 6.What is the average of all the whole numbers from 49 to 81? (a) 16 (b) 66 (c) 32 (d) 65
  7. 7.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 10 (b) 49 (c) 57 (d) 96
  8. 8.What is the average of 28, 42, 53 and 29? (a) 37 (b) 39 (c) 38 (d) 40
  9. 9.What is the average of all the whole numbers from 11 to 19? (a) 4 (b) 15 (c) 8 (d) 16
  10. 10.What is the average of 62, 91, 73 and 78? (a) 77 (b) 75 (c) 76 (d) 78
  11. 11.What is the average of all the whole numbers from 42 to 74? (a) 16 (b) 32 (c) 58 (d) 59
  12. 12.What is the average of all the whole numbers from 16 to 28? (a) 22 (b) 23 (c) 6 (d) 12
  13. 13.What is the average of all the whole numbers from 54 to 78? (a) 67 (b) 66 (c) 12 (d) 24
  14. 14.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 34 (b) 75 (c) 37 (d) 35
  15. 15.What is the average of all the whole numbers from 12 to 42? (a) 15 (b) 28 (c) 30 (d) 27
  16. 16.What is the average of 19, 17, 39, 32 and 33? (a) 28 (b) 35 (c) 29 (d) 27
  17. 17.What is the average of all the whole numbers from 41 to 71? (a) 57 (b) 30 (c) 15 (d) 56
  18. 18.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 32 (c) 24 (d) 48
  19. 19.What is the average of 51, 25, 28, 44, 43 and 49? (a) 48 (b) 41 (c) 39 (d) 40
  20. 20.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 75 (b) 35 (c) 40 (d) 70
  21. 21.What is the average of 9, 19, 31 and 37? (a) 25 (b) 23 (c) 32 (d) 24
  22. 22.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 66 (b) 50 (c) 54 (d) 20
  23. 23.What is the average of all the whole numbers from 47 to 79? (a) 64 (b) 63 (c) 32 (d) 16
  24. 24.What is the average of all the whole numbers from 20 to 28? (a) 25 (b) 4 (c) 8 (d) 24
  25. 25.A batter has an average of 38 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 44 (c) 65 (d) 27
  26. 26.What is the average of 42, 40, 50, 53 and 85? (a) 53 (b) 56 (c) 55 (d) 54
  27. 27.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 31 (b) 61 (c) 26 (d) 40
  28. 28.A batter has an average of 40 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 70 (b) 47 (c) 110 (d) 54
  29. 29.What is the average of 52, 63, 61 and 56? (a) 59 (b) 58 (c) 57 (d) 60
  30. 30.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 31 (b) 37 (c) 28 (d) 12
  31. 31.What is the average of 13, 27, 23, 23, 27 and 43? (a) 28 (b) 26 (c) 27 (d) 25
  32. 32.What is the average of 14, 35, 39, 14 and 38? (a) 28 (b) 35 (c) 27 (d) 29
  33. 33.What is the average of 77, 63, 50, 58, 65 and 65? (a) 62 (b) 64 (c) 65 (d) 63
  34. 34.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 12 (b) 50 (c) 97 (d) 59
  35. 35.What is the average of 22, 21, 24 and 65? (a) 44 (b) 34 (c) 33 (d) 32
  36. 36.What is the average of all the whole numbers from 10 to 20? (a) 10 (b) 16 (c) 5 (d) 15
  37. 37.What is the average of all the whole numbers from 34 to 64? (a) 30 (b) 15 (c) 50 (d) 49
  38. 38.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 16 (b) 31 (c) 43 (d) 29
  39. 39.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 50 (b) 102 (c) 42 (d) 43
  40. 40.What is the average of 38, 40, 52, 52, 33 and 19? (a) 38 (b) 41 (c) 39 (d) 40

Answer key

  1. 22
  2. 49
  3. 47
  4. 49
  5. 40
  6. 65
  7. 57
  8. 38
  9. 15
  10. 76
  11. 58
  12. 22
  13. 66
  14. 34
  15. 27
  16. 28
  17. 56
  18. 48
  19. 40
  20. 70
  21. 24
  22. 66
  23. 63
  24. 24
  25. 65
  26. 54
  27. 61
  28. 110
  29. 58
  30. 37
  31. 26
  32. 28
  33. 63
  34. 59
  35. 33
  36. 15
  37. 49
  38. 43
  39. 42
  40. 39

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