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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 554 · 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 74, 65, 90 and 79? (a) 78 (b) 76 (c) 79 (d) 77
  2. 2.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 48 (b) 26 (c) 68 (d) 32
  3. 3.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 39 (b) 20 (c) 54 (d) 73
  4. 4.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 12 (b) 10 (c) 25 (d) 9
  5. 5.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 59 (b) 30 (c) 32 (d) 35
  6. 6.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 76 (b) 52 (c) 40 (d) 16
  7. 7.What is the average of 47, 45, 36 and 40? (a) 41 (b) 56 (c) 43 (d) 42
  8. 8.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 90 (b) 39 (c) 44 (d) 38
  9. 9.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 63 (b) 12 (c) 60 (d) 69
  10. 10.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 20 (b) 35 (c) 18 (d) 37
  11. 11.What is the average of all the whole numbers from 54 to 70? (a) 16 (b) 63 (c) 62 (d) 8
  12. 12.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 61 (c) 60 (d) 35
  13. 13.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 97 (b) 52 (c) 49 (d) 4
  14. 14.What is the average of 59, 69, 65 and 91? (a) 72 (b) 70 (c) 71 (d) 73
  15. 15.What is the average of 34, 57, 47 and 34? (a) 43 (b) 44 (c) 45 (d) 42
  16. 16.What is the average of 68, 45, 48 and 55? (a) 53 (b) 72 (c) 55 (d) 54
  17. 17.What is the average of all the whole numbers from 17 to 55? (a) 19 (b) 37 (c) 38 (d) 36
  18. 18.What is the average of 54, 52, 52 and 10? (a) 41 (b) 43 (c) 42 (d) 56
  19. 19.What is the average of 53, 60, 51, 58 and 73? (a) 60 (b) 61 (c) 59 (d) 58
  20. 20.What is the average of all the whole numbers from 13 to 21? (a) 18 (b) 8 (c) 17 (d) 4
  21. 21.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 32? (a) 36 (b) 38 (c) 62 (d) 32
  22. 22.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 46 (b) 47 (c) 25 (d) 24
  23. 23.What is the average of all the whole numbers from 49 to 69? (a) 60 (b) 20 (c) 10 (d) 59
  24. 24.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 50 (b) 62 (c) 96 (d) 16
  25. 25.What is the average of 47, 39, 48, 58, 42 and 54? (a) 50 (b) 49 (c) 47 (d) 48
  26. 26.What is the average of all the whole numbers from 39 to 77? (a) 59 (b) 19 (c) 38 (d) 58
  27. 27.What is the average of 55, 52, 50 and 39? (a) 51 (b) 49 (c) 48 (d) 50
  28. 28.What is the average of all the whole numbers from 5 to 17? (a) 6 (b) 12 (c) 10 (d) 11
  29. 29.A batter has an average of 40 runs in 9 matches. How many runs are needed in the next match to raise the average to 42? (a) 60 (b) 20 (c) 42 (d) 44
  30. 30.A batter has an average of 46 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 35 (b) 56 (c) 51 (d) 81
  31. 31.What is the average of 37, 47, 50, 63, 65 and 50? (a) 54 (b) 53 (c) 51 (d) 52
  32. 32.What is the average of all the whole numbers from 34 to 54? (a) 44 (b) 45 (c) 10 (d) 20
  33. 33.What is the average of all the whole numbers from 23 to 61? (a) 19 (b) 42 (c) 38 (d) 43
  34. 34.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 57? (a) 20 (b) 59 (c) 75 (d) 57
  35. 35.What is the average of 51, 22, 41 and 34? (a) 36 (b) 38 (c) 39 (d) 37
  36. 36.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 80 (c) 107 (d) 43
  37. 37.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 46 (b) 25 (c) 32 (d) 53
  38. 38.What is the average of 59, 57, 69 and 79? (a) 65 (b) 66 (c) 67 (d) 88
  39. 39.What is the average of 61, 38, 62, 46 and 58? (a) 52 (b) 53 (c) 55 (d) 54
  40. 40.A batter has an average of 59 runs in 6 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 87 (c) 67 (d) 28

Answer key

  1. 77
  2. 68
  3. 54
  4. 9
  5. 59
  6. 52
  7. 42
  8. 38
  9. 69
  10. 35
  11. 62
  12. 60
  13. 52
  14. 71
  15. 43
  16. 54
  17. 36
  18. 42
  19. 59
  20. 17
  21. 62
  22. 46
  23. 59
  24. 62
  25. 48
  26. 58
  27. 49
  28. 11
  29. 60
  30. 81
  31. 52
  32. 44
  33. 42
  34. 75
  35. 37
  36. 107
  37. 53
  38. 66
  39. 53
  40. 87

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