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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 540 · 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 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 52? (a) 56 (b) 76 (c) 28 (d) 52
  2. 2.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 43 (b) 85 (c) 50 (d) 8
  3. 3.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 67 (b) 59 (c) 83 (d) 32
  4. 4.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 15 (b) 30 (c) 33 (d) 42
  5. 5.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 28 (b) 15 (c) 29 (d) 16
  6. 6.What is the average of 92, 62, 78, 62 and 91? (a) 78 (b) 76 (c) 77 (d) 79
  7. 7.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 25? (a) 28 (b) 25 (c) 18 (d) 40
  8. 8.What is the average of all the whole numbers from 53 to 87? (a) 17 (b) 34 (c) 70 (d) 71
  9. 9.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 32 (b) 48 (c) 76 (d) 92
  10. 10.What is the average of 40, 25, 33 and 30? (a) 33 (b) 31 (c) 32 (d) 34
  11. 11.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 25 (b) 67 (c) 52 (d) 47
  12. 12.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 81 (b) 45 (c) 5 (d) 41
  13. 13.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 61? (a) 61 (b) 14 (c) 73 (d) 63
  14. 14.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 66 (b) 20 (c) 51 (d) 35
  15. 15.What is the average of all the whole numbers from 30 to 50? (a) 41 (b) 10 (c) 40 (d) 20
  16. 16.What is the average of 42, 37, 32, 33, 44 and 76? (a) 43 (b) 45 (c) 46 (d) 44
  17. 17.What is the average of all the whole numbers from 25 to 53? (a) 40 (b) 28 (c) 39 (d) 14
  18. 18.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 63 (c) 20 (d) 53
  19. 19.What is the average of 37, 37, 58, 49 and 44? (a) 47 (b) 45 (c) 44 (d) 46
  20. 20.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) 28 (d) 58
  21. 21.What is the average of all the whole numbers from 24 to 50? (a) 38 (b) 13 (c) 26 (d) 37
  22. 22.What is the average of 70, 73, 79 and 50? (a) 70 (b) 69 (c) 68 (d) 67
  23. 23.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 24 (b) 16 (c) 30 (d) 10
  24. 24.What is the average of all the whole numbers from 50 to 88? (a) 38 (b) 69 (c) 19 (d) 70
  25. 25.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 49 (b) 40 (c) 12 (d) 43
  26. 26.What is the average of 17, 30, 30, 15 and 48? (a) 29 (b) 27 (c) 35 (d) 28
  27. 27.What is the average of all the whole numbers from 29 to 57? (a) 28 (b) 14 (c) 44 (d) 43
  28. 28.What is the average of 31, 32, 36, 33 and 3? (a) 26 (b) 28 (c) 29 (d) 27
  29. 29.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 26? (a) 26 (b) 28 (c) 18 (d) 42
  30. 30.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 62 (b) 16 (c) 17 (d) 30
  31. 31.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 27 (b) 43 (c) 50 (d) 20
  32. 32.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 63 (b) 48 (c) 91 (d) 20
  33. 33.What is the average of 20, 16, 10 and 46? (a) 23 (b) 24 (c) 25 (d) 22
  34. 34.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 80 (b) 38 (c) 15 (d) 14
  35. 35.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 23? (a) 37 (b) 23 (c) 25 (d) 16
  36. 36.What is the average of all the whole numbers from 48 to 68? (a) 59 (b) 58 (c) 20 (d) 10
  37. 37.What is the average of 21, 29, 42, 32 and 41? (a) 35 (b) 32 (c) 34 (d) 33
  38. 38.What is the average of all the whole numbers from 7 to 43? (a) 36 (b) 25 (c) 18 (d) 26
  39. 39.What is the average of 31, 39, 17 and 37? (a) 32 (b) 30 (c) 31 (d) 33
  40. 40.What is the average of 70, 48, 48 and 86? (a) 84 (b) 62 (c) 64 (d) 63

Answer key

  1. 76
  2. 50
  3. 83
  4. 42
  5. 29
  6. 77
  7. 40
  8. 70
  9. 76
  10. 32
  11. 67
  12. 45
  13. 73
  14. 51
  15. 40
  16. 44
  17. 39
  18. 63
  19. 45
  20. 55
  21. 37
  22. 68
  23. 24
  24. 69
  25. 49
  26. 28
  27. 43
  28. 27
  29. 42
  30. 16
  31. 43
  32. 63
  33. 23
  34. 14
  35. 37
  36. 58
  37. 33
  38. 25
  39. 31
  40. 63

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