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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 684 · 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 54, 35, 57, 34 and 40? (a) 45 (b) 55 (c) 43 (d) 44
  2. 2.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 22? (a) 30 (b) 10 (c) 24 (d) 22
  3. 3.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 61 (b) 18 (c) 59 (d) 75
  4. 4.What is the average of 26, 44, 19 and 39? (a) 31 (b) 32 (c) 34 (d) 33
  5. 5.What is the average of all the whole numbers from 27 to 37? (a) 32 (b) 10 (c) 5 (d) 33
  6. 6.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 84 (b) 41 (c) 30 (d) 29
  7. 7.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 94 (b) 48 (c) 58 (d) 12
  8. 8.What is the average of 42, 40, 34 and 40? (a) 38 (b) 39 (c) 40 (d) 52
  9. 9.What is the average of 59, 52, 62 and 95? (a) 69 (b) 67 (c) 68 (d) 66
  10. 10.What is the average of all the whole numbers from 10 to 16? (a) 3 (b) 14 (c) 6 (d) 13
  11. 11.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 44 (b) 21 (c) 20 (d) 92
  12. 12.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 42 (b) 88 (c) 22 (d) 23
  13. 13.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 72 (c) 128 (d) 70
  14. 14.What is the average of all the whole numbers from 23 to 45? (a) 11 (b) 34 (c) 22 (d) 35
  15. 15.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 7 (b) 49 (c) 97 (d) 55
  16. 16.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 49 (b) 34 (c) 25 (d) 29
  17. 17.What is the average of 43, 38, 55, 39, 54 and 77? (a) 53 (b) 50 (c) 51 (d) 52
  18. 18.What is the average of all the whole numbers from 53 to 65? (a) 6 (b) 59 (c) 60 (d) 12
  19. 19.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 21 (b) 15 (c) 43 (d) 16
  20. 20.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 56 (b) 6 (c) 7 (d) 26
  21. 21.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 6 (b) 45 (c) 20 (d) 5
  22. 22.What is the average of all the whole numbers from 52 to 62? (a) 58 (b) 57 (c) 10 (d) 5
  23. 23.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 22? (a) 24 (b) 20 (c) 22 (d) 40
  24. 24.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 63? (a) 32 (b) 87 (c) 71 (d) 63
  25. 25.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 30 (b) 20 (c) 45 (d) 35
  26. 26.What is the average of 37, 31, 58 and 58? (a) 47 (b) 45 (c) 48 (d) 46
  27. 27.What is the average of 21, 19, 39, 16 and 55? (a) 31 (b) 29 (c) 32 (d) 30
  28. 28.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 69 (b) 4 (c) 35 (d) 38
  29. 29.What is the average of all the whole numbers from 46 to 70? (a) 24 (b) 59 (c) 12 (d) 58
  30. 30.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 44? (a) 48 (b) 44 (c) 28 (d) 68
  31. 31.A batter has an average of 54 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 72 (b) 18 (c) 58 (d) 56
  32. 32.What is the average of all the whole numbers from 59 to 91? (a) 32 (b) 75 (c) 76 (d) 16
  33. 33.A batter has an average of 37 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 53 (c) 16 (d) 41
  34. 34.What is the average of 59, 65, 60 and 88? (a) 67 (b) 70 (c) 68 (d) 69
  35. 35.What is the average of 72, 64, 54 and 86? (a) 69 (b) 70 (c) 92 (d) 68
  36. 36.A batter has an average of 57 runs in 6 matches. How many runs are needed in the next match to raise the average to 64? (a) 106 (b) 71 (c) 49 (d) 64
  37. 37.A batter has an average of 47 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 55 (b) 75 (c) 28 (d) 51
  38. 38.What is the average of 86, 88, 90 and 52? (a) 80 (b) 81 (c) 79 (d) 78
  39. 39.What is the average of 34, 27, 37, 41, 27 and 80? (a) 40 (b) 41 (c) 43 (d) 42
  40. 40.What is the average of all the whole numbers from 22 to 62? (a) 43 (b) 40 (c) 20 (d) 42

Answer key

  1. 44
  2. 30
  3. 75
  4. 32
  5. 32
  6. 29
  7. 58
  8. 39
  9. 67
  10. 13
  11. 20
  12. 22
  13. 128
  14. 34
  15. 55
  16. 49
  17. 51
  18. 59
  19. 15
  20. 6
  21. 5
  22. 57
  23. 40
  24. 87
  25. 45
  26. 46
  27. 30
  28. 38
  29. 58
  30. 68
  31. 72
  32. 75
  33. 53
  34. 68
  35. 69
  36. 106
  37. 75
  38. 79
  39. 41
  40. 42

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