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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 562 · 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 56, 56, 56, 53, 66 and 79? (a) 63 (b) 61 (c) 62 (d) 60
  2. 2.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 66? (a) 108 (b) 66 (c) 49 (d) 73
  3. 3.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 46 (b) 45 (c) 97 (d) 48
  4. 4.What is the average of 47, 33, 34, 35, 23 and 20? (a) 31 (b) 33 (c) 34 (d) 32
  5. 5.A batter has an average of 50 runs in 6 matches. How many runs are needed in the next match to raise the average to 57? (a) 99 (b) 64 (c) 57 (d) 49
  6. 6.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 64 (c) 34 (d) 42
  7. 7.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 45 (c) 32 (d) 67
  8. 8.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 25 (c) 70 (d) 85
  9. 9.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 32 (b) 35 (c) 62 (d) 59
  10. 10.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 11 (b) 23 (c) 50 (d) 12
  11. 11.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) 64 (b) 88 (c) 36 (d) 58
  12. 12.What is the average of 55, 55, 56, 54, 75 and 77? (a) 61 (b) 64 (c) 63 (d) 62
  13. 13.What is the average of 37, 48, 50, 45 and 40? (a) 55 (b) 43 (c) 45 (d) 44
  14. 14.What is the average of all the whole numbers from 17 to 31? (a) 14 (b) 7 (c) 24 (d) 25
  15. 15.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 28 (c) 72 (d) 58
  16. 16.What is the average of all the whole numbers from 23 to 41? (a) 33 (b) 9 (c) 32 (d) 18
  17. 17.What is the average of all the whole numbers from 34 to 46? (a) 41 (b) 6 (c) 40 (d) 12
  18. 18.What is the average of all the whole numbers from 44 to 74? (a) 15 (b) 30 (c) 59 (d) 60
  19. 19.What is the average of all the whole numbers from 27 to 37? (a) 10 (b) 33 (c) 5 (d) 32
  20. 20.What is the average of all the whole numbers from 40 to 50? (a) 46 (b) 45 (c) 5 (d) 10
  21. 21.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 53 (b) 20 (c) 19 (d) 26
  22. 22.What is the average of 41, 31, 18, 32 and 43? (a) 34 (b) 32 (c) 33 (d) 35
  23. 23.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 55? (a) 60 (b) 55 (c) 61 (d) 109
  24. 24.What is the average of 34, 35, 40 and 79? (a) 46 (b) 48 (c) 47 (d) 49
  25. 25.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 44? (a) 27 (b) 68 (c) 44 (d) 47
  26. 26.What is the average of all the whole numbers from 59 to 71? (a) 6 (b) 12 (c) 65 (d) 66
  27. 27.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 41 (b) 35 (c) 36 (d) 65
  28. 28.A batter has an average of 45 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 51 (c) 30 (d) 75
  29. 29.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 46 (c) 34 (d) 24
  30. 30.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 8 (c) 50 (d) 54
  31. 31.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 34 (b) 94 (c) 45 (d) 33
  32. 32.What is the average of 54, 61, 65, 55, 74 and 81? (a) 64 (b) 65 (c) 66 (d) 78
  33. 33.What is the average of 72, 85, 84 and 51? (a) 72 (b) 73 (c) 75 (d) 74
  34. 34.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 47 (b) 64 (c) 33 (d) 16
  35. 35.What is the average of all the whole numbers from 60 to 74? (a) 67 (b) 14 (c) 68 (d) 7
  36. 36.What is the average of 26, 35, 28 and 59? (a) 39 (b) 38 (c) 36 (d) 37
  37. 37.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 56 (c) 10 (d) 50
  38. 38.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 24 (b) 30 (c) 37 (d) 17
  39. 39.What is the average of 33, 49, 26 and 52? (a) 39 (b) 42 (c) 41 (d) 40
  40. 40.What is the average of all the whole numbers from 16 to 54? (a) 38 (b) 36 (c) 35 (d) 19

Answer key

  1. 61
  2. 108
  3. 45
  4. 32
  5. 99
  6. 64
  7. 67
  8. 85
  9. 62
  10. 11
  11. 88
  12. 62
  13. 44
  14. 24
  15. 72
  16. 32
  17. 40
  18. 59
  19. 32
  20. 45
  21. 19
  22. 33
  23. 109
  24. 47
  25. 68
  26. 65
  27. 65
  28. 75
  29. 46
  30. 54
  31. 33
  32. 65
  33. 73
  34. 47
  35. 67
  36. 37
  37. 56
  38. 37
  39. 40
  40. 35

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