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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 525 · 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 51, 49, 41, 38 and 81? (a) 65 (b) 53 (c) 51 (d) 52
  2. 2.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 33 (b) 36 (c) 57 (d) 27
  3. 3.What is the average of 37, 35, 53, 24, 36 and 43? (a) 39 (b) 40 (c) 38 (d) 37
  4. 4.What is the average of all the whole numbers from 33 to 69? (a) 18 (b) 52 (c) 51 (d) 36
  5. 5.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 15 (b) 33 (c) 30 (d) 18
  6. 6.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 44 (c) 40 (d) 68
  7. 7.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 17 (b) 10 (c) 8 (d) 19
  8. 8.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 51? (a) 57 (b) 51 (c) 30 (d) 75
  9. 9.What is the average of 62, 89, 69, 65 and 95? (a) 76 (b) 95 (c) 77 (d) 75
  10. 10.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 55. Which number was taken away? (a) 20 (b) 21 (c) 50 (d) 105
  11. 11.What is the average of all the whole numbers from 39 to 51? (a) 12 (b) 6 (c) 46 (d) 45
  12. 12.What is the average of 47, 68, 57, 46, 55 and 51? (a) 56 (b) 55 (c) 53 (d) 54
  13. 13.What is the average of 55, 55, 79 and 83? (a) 68 (b) 69 (c) 70 (d) 67
  14. 14.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 86 (b) 18 (c) 17 (d) 41
  15. 15.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 35 (b) 71 (c) 29 (d) 28
  16. 16.What is the average of 27, 41, 33 and 35? (a) 36 (b) 35 (c) 33 (d) 34
  17. 17.What is the average of 67, 60, 66, 45 and 37? (a) 56 (b) 57 (c) 54 (d) 55
  18. 18.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 21 (b) 27 (c) 56 (d) 22
  19. 19.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 4 (b) 26 (c) 5 (d) 12
  20. 20.What is the average of 54, 66, 53, 54, 68 and 71? (a) 62 (b) 60 (c) 61 (d) 63
  21. 21.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 30? (a) 61 (b) 60 (c) 30 (d) 36
  22. 22.What is the average of 37, 26, 20 and 17? (a) 26 (b) 24 (c) 27 (d) 25
  23. 23.What is the average of all the whole numbers from 8 to 14? (a) 3 (b) 11 (c) 12 (d) 6
  24. 24.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 42 (b) 98 (c) 43 (d) 48
  25. 25.What is the average of all the whole numbers from 21 to 53? (a) 38 (b) 16 (c) 37 (d) 32
  26. 26.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 77 (b) 28 (c) 63 (d) 56
  27. 27.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 17 (b) 15 (c) 29 (d) 31
  28. 28.What is the average of all the whole numbers from 45 to 69? (a) 24 (b) 12 (c) 58 (d) 57
  29. 29.What is the average of 52, 65, 56 and 83? (a) 63 (b) 64 (c) 65 (d) 66
  30. 30.What is the average of 25, 50, 23, 49 and 28? (a) 36 (b) 34 (c) 37 (d) 35
  31. 31.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 30 (b) 19 (c) 64 (d) 18
  32. 32.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 37 (b) 8 (c) 60 (d) 31
  33. 33.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 35 (b) 41 (c) 34 (d) 83
  34. 34.What is the average of 24, 48, 33, 46, 53 and 30? (a) 38 (b) 41 (c) 39 (d) 40
  35. 35.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 50? (a) 36 (b) 54 (c) 50 (d) 82
  36. 36.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 38? (a) 74 (b) 38 (c) 40 (d) 42
  37. 37.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 91 (b) 47 (c) 56 (d) 12
  38. 38.What is the average of all the whole numbers from 45 to 65? (a) 10 (b) 55 (c) 20 (d) 56
  39. 39.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 48? (a) 52 (b) 48 (c) 80 (d) 36
  40. 40.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 20 (b) 75 (c) 60 (d) 65

Answer key

  1. 52
  2. 57
  3. 38
  4. 51
  5. 30
  6. 68
  7. 17
  8. 75
  9. 76
  10. 20
  11. 45
  12. 54
  13. 68
  14. 17
  15. 28
  16. 34
  17. 55
  18. 21
  19. 4
  20. 61
  21. 60
  22. 25
  23. 11
  24. 42
  25. 37
  26. 77
  27. 29
  28. 57
  29. 64
  30. 35
  31. 18
  32. 37
  33. 34
  34. 39
  35. 82
  36. 74
  37. 56
  38. 55
  39. 80
  40. 75

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