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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 214 · 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.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 21 (b) 28 (c) 57 (d) 22
  2. 2.What is the average of all the whole numbers from 25 to 35? (a) 30 (b) 31 (c) 5 (d) 10
  3. 3.What is the average of 28, 25, 20, 39 and 23? (a) 28 (b) 29 (c) 26 (d) 27
  4. 4.What is the average of all the whole numbers from 45 to 61? (a) 16 (b) 8 (c) 54 (d) 53
  5. 5.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 48? (a) 63 (b) 55 (c) 48 (d) 104
  6. 6.A batter has an average of 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 30 (c) 77 (d) 53
  7. 7.What is the average of 59, 66, 46, 55 and 79? (a) 61 (b) 62 (c) 60 (d) 63
  8. 8.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 47 (b) 18 (c) 32 (d) 61
  9. 9.What is the average of 51, 44, 50, 48 and 92? (a) 58 (b) 57 (c) 56 (d) 59
  10. 10.What is the average of 43, 36, 27, 36, 18 and 26? (a) 32 (b) 31 (c) 30 (d) 33
  11. 11.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 48 (b) 28 (c) 44 (d) 24
  12. 12.What is the average of 80, 85, 60, 64, 83 and 66? (a) 74 (b) 75 (c) 72 (d) 73
  13. 13.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 125 (b) 69 (c) 70 (d) 62
  14. 14.What is the average of 23, 15, 21, 22, 35 and 28? (a) 23 (b) 25 (c) 24 (d) 26
  15. 15.What is the average of all the whole numbers from 47 to 83? (a) 66 (b) 18 (c) 36 (d) 65
  16. 16.What is the average of 7, 22, 23, 9, 11 and 48? (a) 24 (b) 21 (c) 19 (d) 20
  17. 17.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 77 (b) 4 (c) 42 (d) 39
  18. 18.What is the average of all the whole numbers from 43 to 59? (a) 8 (b) 16 (c) 51 (d) 52
  19. 19.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 51? (a) 20 (b) 69 (c) 51 (d) 53
  20. 20.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 54 (b) 30 (c) 36 (d) 78
  21. 21.What is the average of all the whole numbers from 40 to 74? (a) 34 (b) 57 (c) 58 (d) 17
  22. 22.What is the average of 51, 76, 77, 57, 62 and 73? (a) 67 (b) 65 (c) 66 (d) 68
  23. 23.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 46 (b) 16 (c) 38 (d) 34
  24. 24.What is the average of all the whole numbers from 11 to 37? (a) 26 (b) 24 (c) 25 (d) 13
  25. 25.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 8 (b) 24 (c) 33 (d) 17
  26. 26.What is the average of all the whole numbers from 18 to 46? (a) 14 (b) 33 (c) 28 (d) 32
  27. 27.What is the average of 41, 52, 24, 52, 46 and 13? (a) 39 (b) 38 (c) 37 (d) 40
  28. 28.A batter has an average of 51 runs in 5 matches. How many runs are needed in the next match to raise the average to 53? (a) 55 (b) 63 (c) 12 (d) 53
  29. 29.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 24? (a) 16 (b) 24 (c) 28 (d) 36
  30. 30.What is the average of all the whole numbers from 53 to 85? (a) 16 (b) 32 (c) 70 (d) 69
  31. 31.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) 40 (c) 80 (d) 81
  32. 32.What is the average of 57, 42, 70, 50, 59 and 64? (a) 58 (b) 56 (c) 59 (d) 57
  33. 33.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 25 (b) 93 (c) 69 (d) 49
  34. 34.What is the average of 44, 49, 50, 39 and 23? (a) 41 (b) 40 (c) 42 (d) 43
  35. 35.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 23 (b) 53 (c) 41 (d) 35
  36. 36.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 14 (b) 39 (c) 30 (d) 23
  37. 37.What is the average of 60, 39, 62, 37 and 62? (a) 65 (b) 53 (c) 52 (d) 51
  38. 38.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 65 (b) 53 (c) 57 (d) 16
  39. 39.What is the average of all the whole numbers from 18 to 52? (a) 35 (b) 36 (c) 17 (d) 34
  40. 40.What is the average of 47, 52, 62 and 75? (a) 58 (b) 59 (c) 60 (d) 61

Answer key

  1. 21
  2. 30
  3. 27
  4. 53
  5. 104
  6. 77
  7. 61
  8. 47
  9. 57
  10. 31
  11. 48
  12. 73
  13. 125
  14. 24
  15. 65
  16. 20
  17. 42
  18. 51
  19. 69
  20. 78
  21. 57
  22. 66
  23. 46
  24. 24
  25. 24
  26. 32
  27. 38
  28. 63
  29. 36
  30. 69
  31. 80
  32. 57
  33. 69
  34. 41
  35. 53
  36. 39
  37. 52
  38. 65
  39. 35
  40. 59

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