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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 146 · 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 all the whole numbers from 37 to 59? (a) 22 (b) 11 (c) 49 (d) 48
  2. 2.A batter has an average of 52 runs in 5 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 88 (c) 64 (d) 36
  3. 3.What is the average of 75, 76, 79, 69 and 66? (a) 73 (b) 75 (c) 72 (d) 74
  4. 4.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 25? (a) 40 (b) 29 (c) 61 (d) 25
  5. 5.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 75 (b) 63 (c) 20 (d) 59
  6. 6.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 72 (b) 50 (c) 32 (d) 27
  7. 7.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 14 (b) 28 (c) 30 (d) 40
  8. 8.What is the average of 11, 30, 19, 11, 30 and 31? (a) 21 (b) 24 (c) 22 (d) 23
  9. 9.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 35 (b) 63 (c) 4 (d) 32
  10. 10.What is the average of all the whole numbers from 33 to 65? (a) 32 (b) 50 (c) 16 (d) 49
  11. 11.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 79 (b) 41 (c) 12 (d) 50
  12. 12.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 33 (b) 28 (c) 27 (d) 67
  13. 13.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 65? (a) 28 (b) 72 (c) 65 (d) 86
  14. 14.What is the average of all the whole numbers from 36 to 68? (a) 32 (b) 53 (c) 52 (d) 16
  15. 15.A batter has an average of 27 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 35 (b) 37 (c) 62 (d) 32
  16. 16.A batter has an average of 59 runs in 8 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 113 (c) 71 (d) 54
  17. 17.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 12 (b) 48 (c) 57 (d) 51
  18. 18.What is the average of 73, 73, 80, 76, 78 and 82? (a) 77 (b) 76 (c) 79 (d) 78
  19. 19.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) 56 (b) 72 (c) 58 (d) 18
  20. 20.A batter has an average of 52 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 62 (b) 57 (c) 82 (d) 30
  21. 21.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 20 (b) 32 (c) 18 (d) 34
  22. 22.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 23 (b) 35 (c) 42 (d) 16
  23. 23.A batter has an average of 50 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 66 (b) 80 (c) 130 (d) 58
  24. 24.What is the average of all the whole numbers from 22 to 52? (a) 37 (b) 38 (c) 30 (d) 15
  25. 25.What is the average of all the whole numbers from 11 to 17? (a) 6 (b) 3 (c) 15 (d) 14
  26. 26.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 40 (b) 26 (c) 16 (d) 50
  27. 27.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 56 (b) 84 (c) 36 (d) 44
  28. 28.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 28? (a) 31 (b) 46 (c) 28 (d) 21
  29. 29.What is the average of all the whole numbers from 14 to 26? (a) 12 (b) 21 (c) 6 (d) 20
  30. 30.What is the average of 21, 23, 13 and 27? (a) 20 (b) 22 (c) 28 (d) 21
  31. 31.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 44 (b) 14 (c) 34 (d) 32
  32. 32.What is the average of 72, 60, 65, 79 and 64? (a) 68 (b) 69 (c) 85 (d) 67
  33. 33.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 20 (b) 9 (c) 8 (d) 42
  34. 34.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 60? (a) 40 (b) 60 (c) 64 (d) 96
  35. 35.What is the average of all the whole numbers from 10 to 22? (a) 6 (b) 16 (c) 17 (d) 12
  36. 36.What is the average of 32, 23, 14 and 31? (a) 27 (b) 26 (c) 25 (d) 24
  37. 37.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 54? (a) 94 (b) 62 (c) 48 (d) 54
  38. 38.What is the average of 55, 61, 52 and 76? (a) 61 (b) 60 (c) 62 (d) 63
  39. 39.What is the average of 75, 72, 85, 81, 73 and 70? (a) 76 (b) 75 (c) 78 (d) 77
  40. 40.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 10 (b) 20 (c) 16 (d) 26

Answer key

  1. 48
  2. 88
  3. 73
  4. 61
  5. 75
  6. 72
  7. 40
  8. 22
  9. 35
  10. 49
  11. 50
  12. 27
  13. 86
  14. 52
  15. 62
  16. 113
  17. 57
  18. 77
  19. 72
  20. 82
  21. 34
  22. 35
  23. 130
  24. 37
  25. 14
  26. 40
  27. 84
  28. 46
  29. 20
  30. 21
  31. 44
  32. 68
  33. 8
  34. 96
  35. 16
  36. 25
  37. 94
  38. 61
  39. 76
  40. 26

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