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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 565 · 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 40 runs in 5 matches. How many runs are needed in the next match to raise the average to 43? (a) 46 (b) 18 (c) 58 (d) 43
  2. 2.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 32 (b) 8 (c) 39 (d) 63
  3. 3.What is the average of 72, 71, 79 and 98? (a) 82 (b) 79 (c) 81 (d) 80
  4. 4.What is the average of 52, 27, 39, 48 and 24? (a) 39 (b) 37 (c) 40 (d) 38
  5. 5.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 14 (b) 16 (c) 33 (d) 13
  6. 6.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 13 (b) 34 (c) 71 (d) 14
  7. 7.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 15 (b) 44 (c) 56 (d) 47
  8. 8.What is the average of 41, 24, 47, 44 and 34? (a) 40 (b) 37 (c) 39 (d) 38
  9. 9.What is the average of 43, 46, 32 and 27? (a) 39 (b) 38 (c) 37 (d) 36
  10. 10.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) 67 (b) 27 (c) 33 (d) 28
  11. 11.What is the average of all the whole numbers from 6 to 40? (a) 34 (b) 24 (c) 17 (d) 23
  12. 12.What is the average of 50, 49, 27, 33, 47 and 40? (a) 42 (b) 43 (c) 41 (d) 40
  13. 13.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 35 (b) 43 (c) 68 (d) 10
  14. 14.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 16 (c) 40 (d) 28
  15. 15.What is the average of all the whole numbers from 37 to 65? (a) 52 (b) 51 (c) 28 (d) 14
  16. 16.What is the average of all the whole numbers from 58 to 70? (a) 6 (b) 12 (c) 65 (d) 64
  17. 17.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 31? (a) 31 (b) 10 (c) 39 (d) 33
  18. 18.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 35 (b) 58 (c) 30 (d) 37
  19. 19.What is the average of all the whole numbers from 41 to 53? (a) 47 (b) 48 (c) 12 (d) 6
  20. 20.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 47? (a) 47 (b) 50 (c) 12 (d) 56
  21. 21.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 93 (b) 47 (c) 7 (d) 53
  22. 22.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 80 (b) 24 (c) 42 (d) 62
  23. 23.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 56 (b) 62 (c) 12 (d) 53
  24. 24.What is the average of all the whole numbers from 26 to 36? (a) 5 (b) 31 (c) 10 (d) 32
  25. 25.What is the average of 61, 44, 60, 69, 62 and 52? (a) 59 (b) 60 (c) 57 (d) 58
  26. 26.A batter has an average of 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 63 (b) 51 (c) 53 (d) 14
  27. 27.What is the average of 30, 19, 31 and 48? (a) 31 (b) 34 (c) 33 (d) 32
  28. 28.What is the average of all the whole numbers from 7 to 19? (a) 13 (b) 14 (c) 12 (d) 6
  29. 29.What is the average of all the whole numbers from 59 to 71? (a) 65 (b) 12 (c) 6 (d) 66
  30. 30.What is the average of all the whole numbers from 57 to 93? (a) 18 (b) 76 (c) 75 (d) 36
  31. 31.What is the average of 31, 54, 48, 30, 34 and 49? (a) 40 (b) 41 (c) 43 (d) 42
  32. 32.What is the average of 28, 29, 35 and 48? (a) 34 (b) 36 (c) 37 (d) 35
  33. 33.What is the average of all the whole numbers from 44 to 64? (a) 54 (b) 10 (c) 55 (d) 20
  34. 34.What is the average of 63, 75, 89, 74 and 89? (a) 78 (b) 79 (c) 80 (d) 77
  35. 35.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 58? (a) 74 (b) 60 (c) 18 (d) 58
  36. 36.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 8 (b) 80 (c) 41 (d) 47
  37. 37.What is the average of 68, 82, 66, 85, 84 and 41? (a) 71 (b) 72 (c) 70 (d) 73
  38. 38.What is the average of 30, 33, 18, 14, 30 and 49? (a) 31 (b) 28 (c) 29 (d) 30
  39. 39.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 32 (b) 46 (c) 97 (d) 31
  40. 40.What is the average of 14, 10, 35, 25, 26 and 34? (a) 25 (b) 24 (c) 23 (d) 26

Answer key

  1. 58
  2. 39
  3. 80
  4. 38
  5. 13
  6. 13
  7. 56
  8. 38
  9. 37
  10. 27
  11. 23
  12. 41
  13. 43
  14. 40
  15. 51
  16. 64
  17. 39
  18. 58
  19. 47
  20. 56
  21. 53
  22. 62
  23. 62
  24. 31
  25. 58
  26. 63
  27. 32
  28. 13
  29. 65
  30. 75
  31. 41
  32. 35
  33. 54
  34. 78
  35. 74
  36. 47
  37. 71
  38. 29
  39. 31
  40. 24

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