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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 16 · 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 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 48 (b) 81 (c) 40 (d) 80
  2. 2.What is the average of 57, 48, 58 and 77? (a) 60 (b) 61 (c) 59 (d) 80
  3. 3.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 33 (b) 21 (c) 15 (d) 39
  4. 4.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 75 (b) 39 (c) 21 (d) 57
  5. 5.What is the average of all the whole numbers from 24 to 36? (a) 30 (b) 31 (c) 12 (d) 6
  6. 6.What is the average of 47, 54, 41 and 38? (a) 60 (b) 45 (c) 46 (d) 44
  7. 7.What is the average of all the whole numbers from 5 to 19? (a) 14 (b) 12 (c) 13 (d) 7
  8. 8.What is the average of 35, 45, 47 and 57? (a) 48 (b) 45 (c) 47 (d) 46
  9. 9.What is the average of all the whole numbers from 43 to 67? (a) 56 (b) 24 (c) 12 (d) 55
  10. 10.What is the average of all the whole numbers from 54 to 82? (a) 68 (b) 14 (c) 69 (d) 28
  11. 11.What is the average of 73, 73, 69 and 93? (a) 77 (b) 78 (c) 79 (d) 76
  12. 12.What is the average of all the whole numbers from 8 to 38? (a) 24 (b) 15 (c) 23 (d) 30
  13. 13.A batter has an average of 55 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 69 (c) 118 (d) 63
  14. 14.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 20 (b) 61 (c) 65 (d) 77
  15. 15.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 6 (b) 43 (c) 85 (d) 48
  16. 16.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 40? (a) 40 (b) 46 (c) 42 (d) 76
  17. 17.A batter has an average of 37 runs in 8 matches. How many runs are needed in the next match to raise the average to 40? (a) 27 (b) 43 (c) 64 (d) 40
  18. 18.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 40 (b) 36 (c) 71 (d) 41
  19. 19.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 67 (b) 33 (c) 30 (d) 29
  20. 20.What is the average of all the whole numbers from 38 to 50? (a) 45 (b) 6 (c) 44 (d) 12
  21. 21.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 115 (b) 59 (c) 66 (d) 63
  22. 22.What is the average of 58, 69, 77, 71, 55 and 42? (a) 63 (b) 61 (c) 64 (d) 62
  23. 23.What is the average of 63, 55, 58 and 76? (a) 84 (b) 62 (c) 63 (d) 64
  24. 24.What is the average of 23, 23, 46, 47 and 31? (a) 35 (b) 36 (c) 33 (d) 34
  25. 25.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 44 (b) 42 (c) 41 (d) 89
  26. 26.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 58 (b) 46 (c) 88 (d) 16
  27. 27.What is the average of all the whole numbers from 12 to 42? (a) 28 (b) 27 (c) 15 (d) 30
  28. 28.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 31? (a) 34 (b) 21 (c) 31 (d) 49
  29. 29.What is the average of all the whole numbers from 20 to 32? (a) 12 (b) 6 (c) 27 (d) 26
  30. 30.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 8 (b) 19 (c) 12 (d) 23
  31. 31.What is the average of 17, 18, 26, 13, 32 and 50? (a) 27 (b) 28 (c) 25 (d) 26
  32. 32.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 55 (b) 31 (c) 58 (d) 28
  33. 33.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 8 (b) 50 (c) 98 (d) 56
  34. 34.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) 42 (b) 7 (c) 8 (d) 19
  35. 35.What is the average of 74, 60, 55, 59 and 47? (a) 60 (b) 61 (c) 59 (d) 58
  36. 36.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 15 (b) 62 (c) 50 (d) 97
  37. 37.What is the average of 47, 42, 34 and 69? (a) 64 (b) 49 (c) 47 (d) 48
  38. 38.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 51? (a) 53 (b) 16 (c) 51 (d) 65
  39. 39.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 31 (b) 88 (c) 30 (d) 42
  40. 40.What is the average of 58, 41, 68, 49 and 59? (a) 56 (b) 54 (c) 57 (d) 55

Answer key

  1. 80
  2. 60
  3. 33
  4. 57
  5. 30
  6. 45
  7. 12
  8. 46
  9. 55
  10. 68
  11. 77
  12. 23
  13. 118
  14. 77
  15. 48
  16. 76
  17. 64
  18. 71
  19. 29
  20. 44
  21. 115
  22. 62
  23. 63
  24. 34
  25. 41
  26. 58
  27. 27
  28. 49
  29. 26
  30. 19
  31. 26
  32. 55
  33. 56
  34. 7
  35. 59
  36. 62
  37. 48
  38. 65
  39. 30
  40. 55

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