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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 531 · 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 67, 72, 57, 47, 72 and 51? (a) 63 (b) 62 (c) 61 (d) 60
  2. 2.What is the average of 40, 47, 52, 24, 39 and 32? (a) 40 (b) 38 (c) 41 (d) 39
  3. 3.What is the average of all the whole numbers from 16 to 40? (a) 28 (b) 24 (c) 12 (d) 29
  4. 4.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 38 (b) 5 (c) 42 (d) 75
  5. 5.What is the average of 86, 73, 65, 82, 65 and 91? (a) 78 (b) 76 (c) 79 (d) 77
  6. 6.What is the average of 58, 59, 45, 55 and 38? (a) 52 (b) 50 (c) 53 (d) 51
  7. 7.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) 40 (b) 42 (c) 38 (d) 74
  8. 8.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 58? (a) 66 (b) 58 (c) 98 (d) 48
  9. 9.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 53 (b) 25 (c) 11 (d) 10
  10. 10.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 32 (b) 82 (c) 71 (d) 43
  11. 11.A batter has an average of 56 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 66 (b) 61 (c) 50 (d) 106
  12. 12.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 25? (a) 16 (b) 25 (c) 39 (d) 27
  13. 13.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 47? (a) 27 (b) 50 (c) 71 (d) 47
  14. 14.What is the average of 76, 61, 64 and 83? (a) 72 (b) 70 (c) 73 (d) 71
  15. 15.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 43 (b) 20 (c) 12 (d) 11
  16. 16.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 54 (b) 25 (c) 5 (d) 6
  17. 17.What is the average of all the whole numbers from 57 to 81? (a) 69 (b) 12 (c) 24 (d) 70
  18. 18.A batter has an average of 60 runs in 6 matches. How many runs are needed in the next match to raise the average to 66? (a) 72 (b) 102 (c) 66 (d) 42
  19. 19.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 20 (c) 64 (d) 52
  20. 20.What is the average of 20, 36, 27 and 57? (a) 37 (b) 35 (c) 36 (d) 34
  21. 21.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 36? (a) 61 (b) 36 (c) 30 (d) 41
  22. 22.A batter has an average of 32 runs in 9 matches. How many runs are needed in the next match to raise the average to 37? (a) 50 (b) 37 (c) 42 (d) 82
  23. 23.What is the average of 13, 24, 34, 35 and 19? (a) 24 (b) 26 (c) 27 (d) 25
  24. 24.What is the average of 27, 47, 51, 44, 50 and 21? (a) 48 (b) 40 (c) 41 (d) 39
  25. 25.What is the average of 24, 44, 18, 28 and 36? (a) 32 (b) 30 (c) 29 (d) 31
  26. 26.What is the average of 60, 74, 63, 65, 75 and 71? (a) 70 (b) 69 (c) 67 (d) 68
  27. 27.What is the average of 59, 88, 66, 65, 61 and 99? (a) 73 (b) 75 (c) 72 (d) 74
  28. 28.What is the average of all the whole numbers from 48 to 78? (a) 15 (b) 64 (c) 63 (d) 30
  29. 29.What is the average of all the whole numbers from 11 to 39? (a) 14 (b) 25 (c) 28 (d) 26
  30. 30.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
  31. 31.What is the average of 43, 51, 50 and 52? (a) 51 (b) 50 (c) 48 (d) 49
  32. 32.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 30 (b) 58 (c) 36 (d) 8
  33. 33.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 59? (a) 30 (b) 65 (c) 83 (d) 59
  34. 34.What is the average of 37, 23, 22 and 34? (a) 30 (b) 29 (c) 31 (d) 28
  35. 35.What is the average of 27, 26, 29 and 82? (a) 42 (b) 40 (c) 41 (d) 43
  36. 36.A batter has an average of 51 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 61 (b) 50 (c) 101 (d) 56
  37. 37.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 18 (b) 24 (c) 31 (d) 11
  38. 38.A batter has an average of 33 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 47 (c) 68 (d) 35
  39. 39.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 70 (b) 42 (c) 35 (d) 98
  40. 40.What is the average of all the whole numbers from 25 to 31? (a) 6 (b) 3 (c) 29 (d) 28

Answer key

  1. 61
  2. 39
  3. 28
  4. 42
  5. 77
  6. 51
  7. 74
  8. 98
  9. 10
  10. 71
  11. 106
  12. 39
  13. 71
  14. 71
  15. 11
  16. 5
  17. 69
  18. 102
  19. 64
  20. 35
  21. 61
  22. 82
  23. 25
  24. 40
  25. 30
  26. 68
  27. 73
  28. 63
  29. 25
  30. 51
  31. 49
  32. 36
  33. 83
  34. 29
  35. 41
  36. 101
  37. 31
  38. 68
  39. 98
  40. 28

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