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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 19 · 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 89, 74, 85 and 60? (a) 76 (b) 77 (c) 79 (d) 78
  2. 2.What is the average of 18, 43, 27 and 36? (a) 31 (b) 32 (c) 30 (d) 33
  3. 3.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 33 (b) 71 (c) 13 (d) 14
  4. 4.What is the average of 71, 69, 78, 76 and 76? (a) 75 (b) 76 (c) 74 (d) 73
  5. 5.A batter has an average of 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 53 (c) 20 (d) 43
  6. 6.A batter has an average of 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 61 (b) 57 (c) 77 (d) 24
  7. 7.What is the average of 41, 29, 40 and 58? (a) 56 (b) 43 (c) 42 (d) 41
  8. 8.What is the average of 33, 30, 28 and 45? (a) 36 (b) 34 (c) 33 (d) 35
  9. 9.A batter has an average of 52 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 16 (b) 54 (c) 56 (d) 68
  10. 10.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 71 (b) 35 (c) 30 (d) 29
  11. 11.What is the average of all the whole numbers from 7 to 45? (a) 19 (b) 27 (c) 38 (d) 26
  12. 12.What is the average of 73, 70, 80 and 61? (a) 70 (b) 72 (c) 73 (d) 71
  13. 13.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 44 (c) 36 (d) 16
  14. 14.What is the average of all the whole numbers from 49 to 57? (a) 4 (b) 54 (c) 8 (d) 53
  15. 15.What is the average of 71, 44, 71 and 50? (a) 59 (b) 58 (c) 61 (d) 60
  16. 16.What is the average of 27, 5, 28 and 20? (a) 20 (b) 21 (c) 19 (d) 22
  17. 17.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 40? (a) 43 (b) 40 (c) 30 (d) 67
  18. 18.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 10 (b) 49 (c) 41 (d) 80
  19. 19.What is the average of all the whole numbers from 51 to 87? (a) 18 (b) 69 (c) 36 (d) 70
  20. 20.What is the average of all the whole numbers from 52 to 74? (a) 22 (b) 64 (c) 11 (d) 63
  21. 21.What is the average of all the whole numbers from 35 to 55? (a) 20 (b) 10 (c) 46 (d) 45
  22. 22.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 70 (b) 33 (c) 13 (d) 14
  23. 23.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 70 (b) 35 (c) 65 (d) 40
  24. 24.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 72 (b) 56 (c) 48 (d) 112
  25. 25.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 24 (b) 33 (c) 54 (d) 63
  26. 26.What is the average of 53, 55, 50, 55 and 112? (a) 66 (b) 64 (c) 67 (d) 65
  27. 27.A batter has an average of 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 37 (b) 28 (c) 51 (d) 30
  28. 28.What is the average of 62, 85, 84 and 77? (a) 78 (b) 77 (c) 76 (d) 79
  29. 29.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 20 (b) 36 (c) 68 (d) 52
  30. 30.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 20 (b) 21 (c) 49 (d) 24
  31. 31.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 58? (a) 67 (b) 61 (c) 58 (d) 12
  32. 32.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 77 (b) 39 (c) 8 (d) 46
  33. 33.What is the average of 52, 45, 42, 45 and 91? (a) 55 (b) 54 (c) 56 (d) 57
  34. 34.What is the average of 39, 47, 29 and 37? (a) 37 (b) 40 (c) 39 (d) 38
  35. 35.What is the average of all the whole numbers from 19 to 59? (a) 39 (b) 38 (c) 40 (d) 20
  36. 36.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 12 (b) 29 (c) 27 (d) 37
  37. 37.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 56? (a) 68 (b) 15 (c) 56 (d) 59
  38. 38.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 27 (b) 16 (c) 41 (d) 52
  39. 39.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 8 (b) 66 (c) 34 (d) 40
  40. 40.What is the average of 57, 77, 74, 54, 83 and 69? (a) 71 (b) 68 (c) 69 (d) 70

Answer key

  1. 77
  2. 31
  3. 13
  4. 74
  5. 53
  6. 77
  7. 42
  8. 34
  9. 68
  10. 29
  11. 26
  12. 71
  13. 44
  14. 53
  15. 59
  16. 20
  17. 67
  18. 49
  19. 69
  20. 63
  21. 45
  22. 13
  23. 70
  24. 112
  25. 54
  26. 65
  27. 51
  28. 77
  29. 52
  30. 20
  31. 67
  32. 46
  33. 55
  34. 38
  35. 39
  36. 37
  37. 68
  38. 41
  39. 40
  40. 69

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