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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 383 · 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.What is the average of all the whole numbers from 12 to 32? (a) 22 (b) 23 (c) 10 (d) 20
  2. 2.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 55 (c) 59 (d) 8
  3. 3.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 47 (b) 95 (c) 41 (d) 42
  4. 4.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 33 (b) 75 (c) 37 (d) 34
  5. 5.What is the average of 21, 19, 22, 43, 24 and 57? (a) 31 (b) 32 (c) 30 (d) 33
  6. 6.A batter has an average of 45 runs in 6 matches. How many runs are needed in the next match to raise the average to 47? (a) 14 (b) 47 (c) 49 (d) 59
  7. 7.What is the average of 43, 24, 19, 27 and 42? (a) 32 (b) 31 (c) 30 (d) 33
  8. 8.What is the average of 74, 68, 62, 74, 74 and 86? (a) 72 (b) 75 (c) 74 (d) 73
  9. 9.What is the average of 17, 29, 27, 37, 35 and 5? (a) 30 (b) 25 (c) 26 (d) 24
  10. 10.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 35 (b) 88 (c) 60 (d) 67
  11. 11.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 24 (b) 20 (c) 12 (d) 32
  12. 12.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 37 (c) 72 (d) 45
  13. 13.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 55 (b) 61 (c) 53 (d) 10
  14. 14.What is the average of all the whole numbers from 42 to 82? (a) 63 (b) 20 (c) 40 (d) 62
  15. 15.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 5 (b) 47 (c) 93 (d) 51
  16. 16.What is the average of 10, 33, 12, 25, 29 and 29? (a) 23 (b) 25 (c) 22 (d) 24
  17. 17.What is the average of 42, 37, 43, 48 and 30? (a) 40 (b) 41 (c) 50 (d) 39
  18. 18.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 35 (b) 19 (c) 12 (d) 42
  19. 19.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 5 (b) 52 (c) 95 (d) 48
  20. 20.What is the average of all the whole numbers from 51 to 61? (a) 10 (b) 56 (c) 57 (d) 5
  21. 21.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 40 (b) 37 (c) 69 (d) 72
  22. 22.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 28 (c) 58 (d) 44
  23. 23.What is the average of all the whole numbers from 22 to 36? (a) 14 (b) 7 (c) 29 (d) 30
  24. 24.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 57 (b) 70 (c) 24 (d) 37
  25. 25.A batter has an average of 45 runs in 8 matches. How many runs are needed in the next match to raise the average to 53? (a) 61 (b) 72 (c) 53 (d) 117
  26. 26.What is the average of 45, 27, 22, 37 and 54? (a) 36 (b) 38 (c) 37 (d) 39
  27. 27.What is the average of 57, 62, 63, 67 and 76? (a) 67 (b) 66 (c) 65 (d) 64
  28. 28.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 77 (b) 59 (c) 30 (d) 53
  29. 29.What is the average of 76, 49, 49 and 74? (a) 61 (b) 64 (c) 62 (d) 63
  30. 30.What is the average of 55, 57, 47, 59, 77 and 77? (a) 62 (b) 61 (c) 63 (d) 64
  31. 31.What is the average of 26, 27, 34, 35, 15 and 43? (a) 31 (b) 36 (c) 29 (d) 30
  32. 32.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 72 (b) 100 (c) 44 (d) 36
  33. 33.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 87 (b) 43 (c) 39 (d) 40
  34. 34.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 64 (b) 70 (c) 12 (d) 61
  35. 35.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 20 (b) 10 (c) 26 (d) 16
  36. 36.What is the average of 44, 52, 44, 49, 42 and 27? (a) 44 (b) 45 (c) 43 (d) 42
  37. 37.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 37 (b) 41 (c) 21 (d) 25
  38. 38.What is the average of 54, 37, 49, 65 and 50? (a) 52 (b) 53 (c) 51 (d) 50
  39. 39.What is the average of 75, 83, 85, 78 and 79? (a) 81 (b) 100 (c) 80 (d) 79
  40. 40.What is the average of 69, 61, 59, 60, 80 and 67? (a) 68 (b) 67 (c) 65 (d) 66

Answer key

  1. 22
  2. 59
  3. 41
  4. 33
  5. 31
  6. 59
  7. 31
  8. 73
  9. 25
  10. 88
  11. 32
  12. 72
  13. 61
  14. 62
  15. 51
  16. 23
  17. 40
  18. 42
  19. 52
  20. 56
  21. 72
  22. 58
  23. 29
  24. 57
  25. 117
  26. 37
  27. 65
  28. 77
  29. 62
  30. 62
  31. 30
  32. 100
  33. 39
  34. 70
  35. 26
  36. 43
  37. 41
  38. 51
  39. 80
  40. 66

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