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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 7 · 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.A batter has an average of 60 runs in 7 matches. How many runs are needed in the next match to raise the average to 64? (a) 92 (b) 64 (c) 68 (d) 32
  2. 2.What is the average of all the whole numbers from 40 to 78? (a) 60 (b) 38 (c) 59 (d) 19
  3. 3.What is the average of all the whole numbers from 56 to 82? (a) 26 (b) 13 (c) 69 (d) 70
  4. 4.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) 44 (b) 47 (c) 68 (d) 27
  5. 5.What is the average of 50, 69, 61, 44 and 46? (a) 56 (b) 54 (c) 55 (d) 53
  6. 6.What is the average of 71, 72, 48 and 57? (a) 64 (b) 62 (c) 61 (d) 63
  7. 7.What is the average of 27, 26, 25, 45, 22 and 71? (a) 38 (b) 37 (c) 36 (d) 35
  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 66? (a) 72 (b) 90 (c) 66 (d) 30
  9. 9.What is the average of 37, 43, 46 and 66? (a) 64 (b) 49 (c) 48 (d) 47
  10. 10.What is the average of 77, 86, 62, 86, 76 and 69? (a) 76 (b) 77 (c) 78 (d) 75
  11. 11.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 52 (c) 10 (d) 58
  12. 12.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 26 (b) 28 (c) 57 (d) 25
  13. 13.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 15 (b) 35 (c) 32 (d) 44
  14. 14.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 58? (a) 82 (b) 58 (c) 28 (d) 62
  15. 15.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 27 (b) 45 (c) 28 (d) 93
  16. 16.What is the average of all the whole numbers from 39 to 77? (a) 19 (b) 59 (c) 58 (d) 38
  17. 17.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 58? (a) 70 (b) 58 (c) 61 (d) 15
  18. 18.What is the average of all the whole numbers from 33 to 59? (a) 13 (b) 26 (c) 47 (d) 46
  19. 19.What is the average of 54, 61, 76, 66 and 53? (a) 63 (b) 62 (c) 64 (d) 61
  20. 20.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 19 (b) 42 (c) 7 (d) 8
  21. 21.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 24? (a) 28 (b) 24 (c) 60 (d) 40
  22. 22.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 22? (a) 38 (b) 18 (c) 22 (d) 24
  23. 23.What is the average of all the whole numbers from 24 to 48? (a) 36 (b) 12 (c) 37 (d) 24
  24. 24.What is the average of 28, 30, 28, 51 and 68? (a) 41 (b) 40 (c) 42 (d) 43
  25. 25.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 38 (b) 1 (c) 2 (d) 17
  26. 26.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 30 (b) 50 (c) 95 (d) 75
  27. 27.What is the average of 32, 33, 42 and 49? (a) 39 (b) 40 (c) 38 (d) 52
  28. 28.What is the average of 43, 60, 66, 39 and 47? (a) 52 (b) 53 (c) 51 (d) 50
  29. 29.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 44 (b) 93 (c) 9 (d) 10
  30. 30.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 33? (a) 33 (b) 39 (c) 69 (d) 42
  31. 31.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 40? (a) 45 (b) 76 (c) 40 (d) 75
  32. 32.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 65? (a) 72 (b) 73 (c) 65 (d) 129
  33. 33.What is the average of all the whole numbers from 44 to 50? (a) 3 (b) 6 (c) 47 (d) 48
  34. 34.What is the average of 46, 26, 25, 28, 41 and 38? (a) 34 (b) 33 (c) 36 (d) 35
  35. 35.What is the average of all the whole numbers from 47 to 65? (a) 9 (b) 18 (c) 57 (d) 56
  36. 36.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 49 (b) 24 (c) 65 (d) 45
  37. 37.What is the average of all the whole numbers from 44 to 64? (a) 10 (b) 20 (c) 54 (d) 55
  38. 38.What is the average of all the whole numbers from 33 to 49? (a) 16 (b) 8 (c) 41 (d) 42
  39. 39.What is the average of all the whole numbers from 11 to 49? (a) 31 (b) 38 (c) 19 (d) 30
  40. 40.What is the average of 31, 17, 11, 32 and 34? (a) 27 (b) 25 (c) 26 (d) 24

Answer key

  1. 92
  2. 59
  3. 69
  4. 68
  5. 54
  6. 62
  7. 36
  8. 90
  9. 48
  10. 76
  11. 58
  12. 25
  13. 44
  14. 82
  15. 27
  16. 58
  17. 70
  18. 46
  19. 62
  20. 7
  21. 60
  22. 38
  23. 36
  24. 41
  25. 1
  26. 75
  27. 39
  28. 51
  29. 9
  30. 69
  31. 75
  32. 129
  33. 47
  34. 34
  35. 56
  36. 65
  37. 54
  38. 41
  39. 30
  40. 25

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