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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 873 · 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 64, 52, 71, 71 and 37? (a) 58 (b) 61 (c) 59 (d) 60
  2. 2.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 56 (c) 88 (d) 48
  3. 3.What is the average of 22, 21, 36 and 65? (a) 37 (b) 48 (c) 36 (d) 35
  4. 4.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 50 (b) 87 (c) 7 (d) 44
  5. 5.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 25? (a) 30 (b) 45 (c) 46 (d) 25
  6. 6.What is the average of 25, 34, 27, 34, 32 and 58? (a) 34 (b) 42 (c) 35 (d) 36
  7. 7.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 32 (b) 12 (c) 61 (d) 41
  8. 8.What is the average of 33, 35, 54, 31 and 42? (a) 41 (b) 38 (c) 40 (d) 39
  9. 9.A batter has an average of 34 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 28 (c) 42 (d) 62
  10. 10.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 58 (b) 36 (c) 28 (d) 34
  11. 11.What is the average of 37, 30, 40 and 57? (a) 41 (b) 43 (c) 40 (d) 42
  12. 12.What is the average of 61, 60, 59 and 56? (a) 60 (b) 61 (c) 58 (d) 59
  13. 13.What is the average of 26, 55, 48, 39, 45 and 33? (a) 40 (b) 41 (c) 42 (d) 43
  14. 14.What is the average of all the whole numbers from 12 to 32? (a) 20 (b) 23 (c) 22 (d) 10
  15. 15.What is the average of all the whole numbers from 47 to 53? (a) 6 (b) 51 (c) 3 (d) 50
  16. 16.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) 39 (b) 97 (c) 38 (d) 47
  17. 17.What is the average of 12, 24, 14 and 42? (a) 22 (b) 23 (c) 25 (d) 24
  18. 18.What is the average of 72, 88, 86 and 74? (a) 80 (b) 82 (c) 79 (d) 81
  19. 19.What is the average of all the whole numbers from 43 to 77? (a) 17 (b) 61 (c) 34 (d) 60
  20. 20.A batter has an average of 38 runs in 8 matches. How many runs are needed in the next match to raise the average to 45? (a) 101 (b) 63 (c) 45 (d) 52
  21. 21.What is the average of all the whole numbers from 55 to 65? (a) 10 (b) 5 (c) 61 (d) 60
  22. 22.What is the average of 61, 50, 63, 53, 53 and 98? (a) 62 (b) 64 (c) 63 (d) 65
  23. 23.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) 48 (b) 36 (c) 52 (d) 80
  24. 24.What is the average of all the whole numbers from 17 to 29? (a) 6 (b) 23 (c) 12 (d) 24
  25. 25.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 45 (c) 18 (d) 31
  26. 26.What is the average of 39, 13, 35, 16 and 17? (a) 30 (b) 24 (c) 25 (d) 23
  27. 27.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 50 (b) 8 (c) 44 (d) 46
  28. 28.What is the average of 60, 62, 56 and 38? (a) 55 (b) 54 (c) 72 (d) 53
  29. 29.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) 13 (b) 14 (c) 24 (d) 25
  30. 30.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 15 (b) 35 (c) 19 (d) 31
  31. 31.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 32 (b) 30 (c) 54 (d) 26
  32. 32.What is the average of all the whole numbers from 26 to 66? (a) 40 (b) 47 (c) 46 (d) 20
  33. 33.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 28 (b) 67 (c) 33 (d) 29
  34. 34.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 31? (a) 24 (b) 35 (c) 51 (d) 31
  35. 35.What is the average of 50, 49, 64, 55, 67 and 27? (a) 53 (b) 54 (c) 51 (d) 52
  36. 36.A batter has an average of 51 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 57 (c) 21 (d) 72
  37. 37.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 32 (b) 2 (c) 3 (d) 14
  38. 38.What is the average of all the whole numbers from 9 to 33? (a) 24 (b) 12 (c) 22 (d) 21
  39. 39.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 40 (b) 24 (c) 35 (d) 19
  40. 40.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 65? (a) 73 (b) 65 (c) 80 (d) 137

Answer key

  1. 59
  2. 88
  3. 36
  4. 50
  5. 45
  6. 35
  7. 41
  8. 39
  9. 62
  10. 58
  11. 41
  12. 59
  13. 41
  14. 22
  15. 50
  16. 38
  17. 23
  18. 80
  19. 60
  20. 101
  21. 60
  22. 63
  23. 80
  24. 23
  25. 45
  26. 24
  27. 50
  28. 54
  29. 25
  30. 31
  31. 54
  32. 46
  33. 28
  34. 51
  35. 52
  36. 72
  37. 2
  38. 21
  39. 40
  40. 137

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