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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 132 · 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.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 66? (a) 32 (b) 74 (c) 66 (d) 90
  2. 2.What is the average of 83, 63, 61 and 81? (a) 73 (b) 72 (c) 71 (d) 96
  3. 3.A batter has an average of 55 runs in 6 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 35 (c) 90 (d) 65
  4. 4.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 47 (b) 97 (c) 39 (d) 38
  5. 5.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 47 (b) 24 (c) 90 (d) 67
  6. 6.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 55 (b) 50 (c) 70 (d) 25
  7. 7.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 12 (b) 62 (c) 53 (d) 56
  8. 8.A batter has an average of 44 runs in 8 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 72 (c) 60 (d) 116
  9. 9.What is the average of 48, 52, 68, 55 and 82? (a) 62 (b) 61 (c) 60 (d) 63
  10. 10.What is the average of 36, 25, 34, 19, 13 and 11? (a) 24 (b) 23 (c) 25 (d) 22
  11. 11.What is the average of all the whole numbers from 9 to 33? (a) 22 (b) 12 (c) 24 (d) 21
  12. 12.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 24 (b) 13 (c) 25 (d) 14
  13. 13.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 28 (b) 21 (c) 20 (d) 58
  14. 14.What is the average of 70, 67, 49, 56 and 58? (a) 60 (b) 75 (c) 59 (d) 61
  15. 15.What is the average of all the whole numbers from 43 to 59? (a) 51 (b) 16 (c) 8 (d) 52
  16. 16.What is the average of 41, 46, 54, 59 and 65? (a) 53 (b) 54 (c) 52 (d) 55
  17. 17.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 27 (b) 22 (c) 55 (d) 21
  18. 18.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 24 (b) 32 (c) 14 (d) 42
  19. 19.What is the average of 28, 17, 20 and 63? (a) 33 (b) 32 (c) 34 (d) 31
  20. 20.What is the average of all the whole numbers from 58 to 96? (a) 19 (b) 77 (c) 38 (d) 78
  21. 21.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 25 (b) 22 (c) 51 (d) 23
  22. 22.What is the average of 33, 48, 50 and 41? (a) 44 (b) 43 (c) 42 (d) 45
  23. 23.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 20 (b) 65 (c) 50 (d) 95
  24. 24.A batter has an average of 59 runs in 4 matches. How many runs are needed in the next match to raise the average to 63? (a) 79 (b) 67 (c) 63 (d) 20
  25. 25.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 93 (b) 30 (c) 74 (d) 49
  26. 26.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 63 (b) 15 (c) 30 (d) 16
  27. 27.What is the average of 35, 31, 14, 24 and 36? (a) 29 (b) 27 (c) 35 (d) 28
  28. 28.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 36 (b) 26 (c) 50 (d) 12
  29. 29.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 23 (b) 37 (c) 44 (d) 16
  30. 30.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 40 (b) 41 (c) 77 (d) 76
  31. 31.What is the average of 80, 70, 77, 81 and 82? (a) 79 (b) 78 (c) 77 (d) 80
  32. 32.What is the average of 70, 47, 50 and 81? (a) 61 (b) 63 (c) 64 (d) 62
  33. 33.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 16 (b) 49 (c) 70 (d) 37
  34. 34.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 11 (b) 23 (c) 20 (d) 14
  35. 35.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 15 (b) 29 (c) 26 (d) 38
  36. 36.What is the average of all the whole numbers from 11 to 47? (a) 30 (b) 36 (c) 18 (d) 29
  37. 37.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) 117 (b) 72 (c) 53 (d) 61
  38. 38.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 24 (b) 33 (c) 8 (d) 17
  39. 39.What is the average of all the whole numbers from 52 to 74? (a) 63 (b) 22 (c) 64 (d) 11
  40. 40.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 16 (b) 30 (c) 34 (d) 42

Answer key

  1. 90
  2. 72
  3. 90
  4. 38
  5. 67
  6. 70
  7. 62
  8. 116
  9. 61
  10. 23
  11. 21
  12. 25
  13. 20
  14. 60
  15. 51
  16. 53
  17. 21
  18. 42
  19. 32
  20. 77
  21. 22
  22. 43
  23. 65
  24. 79
  25. 74
  26. 15
  27. 28
  28. 36
  29. 37
  30. 76
  31. 78
  32. 62
  33. 49
  34. 23
  35. 38
  36. 29
  37. 117
  38. 24
  39. 63
  40. 42

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