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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 826 · 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.What is the average of 63, 77, 68, 61, 79 and 48? (a) 65 (b) 66 (c) 67 (d) 68
  2. 2.What is the average of 41, 17, 23, 36, 27 and 24? (a) 28 (b) 30 (c) 29 (d) 27
  3. 3.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 84 (b) 54 (c) 42 (d) 36
  4. 4.What is the average of 65, 53, 46, 37 and 54? (a) 51 (b) 52 (c) 53 (d) 50
  5. 5.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 61? (a) 91 (b) 36 (c) 61 (d) 67
  6. 6.What is the average of 24, 32, 46, 28 and 45? (a) 34 (b) 35 (c) 37 (d) 36
  7. 7.What is the average of 32, 15, 20 and 37? (a) 26 (b) 27 (c) 25 (d) 28
  8. 8.What is the average of all the whole numbers from 38 to 56? (a) 48 (b) 18 (c) 47 (d) 9
  9. 9.What is the average of all the whole numbers from 42 to 50? (a) 8 (b) 46 (c) 47 (d) 4
  10. 10.What is the average of 71, 59, 84, 72 and 84? (a) 75 (b) 73 (c) 74 (d) 76
  11. 11.What is the average of 36, 46, 27, 44 and 7? (a) 40 (b) 31 (c) 32 (d) 33
  12. 12.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 20 (b) 25 (c) 15 (d) 10
  13. 13.What is the average of 66, 57, 44 and 65? (a) 60 (b) 57 (c) 59 (d) 58
  14. 14.What is the average of 29, 17, 20 and 50? (a) 29 (b) 30 (c) 28 (d) 31
  15. 15.What is the average of 61, 60, 52, 53, 65 and 105? (a) 65 (b) 67 (c) 68 (d) 66
  16. 16.What is the average of all the whole numbers from 16 to 36? (a) 27 (b) 26 (c) 10 (d) 20
  17. 17.What is the average of 42, 62, 45, 53 and 83? (a) 57 (b) 59 (c) 56 (d) 58
  18. 18.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 19 (b) 40 (c) 8 (d) 7
  19. 19.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 87 (b) 39 (c) 43 (d) 38
  20. 20.What is the average of all the whole numbers from 55 to 95? (a) 76 (b) 20 (c) 75 (d) 40
  21. 21.What is the average of all the whole numbers from 56 to 86? (a) 15 (b) 72 (c) 30 (d) 71
  22. 22.A batter has an average of 58 runs in 6 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 49 (c) 107 (d) 72
  23. 23.What is the average of all the whole numbers from 10 to 32? (a) 11 (b) 21 (c) 20 (d) 22
  24. 24.What is the average of 42, 50, 57, 55 and 81? (a) 56 (b) 57 (c) 58 (d) 59
  25. 25.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 25 (b) 36 (c) 74 (d) 24
  26. 26.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 42? (a) 48 (b) 54 (c) 90 (d) 42
  27. 27.What is the average of all the whole numbers from 30 to 54? (a) 24 (b) 42 (c) 43 (d) 12
  28. 28.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 23 (b) 24 (c) 38 (d) 81
  29. 29.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 15 (b) 29 (c) 4 (d) 18
  30. 30.What is the average of 18, 16, 28, 20, 19 and 37? (a) 24 (b) 22 (c) 25 (d) 23
  31. 31.A batter has an average of 41 runs in 7 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 65 (c) 47 (d) 24
  32. 32.What is the average of all the whole numbers from 43 to 53? (a) 10 (b) 49 (c) 48 (d) 5
  33. 33.What is the average of 60, 71, 58 and 95? (a) 70 (b) 73 (c) 72 (d) 71
  34. 34.A batter has an average of 34 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 52 (c) 18 (d) 38
  35. 35.What is the average of 40, 38, 33, 33, 59 and 61? (a) 46 (b) 44 (c) 43 (d) 45
  36. 36.What is the average of all the whole numbers from 20 to 26? (a) 3 (b) 24 (c) 6 (d) 23
  37. 37.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 33? (a) 35 (b) 33 (c) 38 (d) 63
  38. 38.What is the average of 29, 19, 18, 26, 23 and 41? (a) 28 (b) 25 (c) 27 (d) 26
  39. 39.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 8 (b) 22 (c) 46 (d) 9
  40. 40.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 22 (b) 33 (c) 68 (d) 21

Answer key

  1. 66
  2. 28
  3. 84
  4. 51
  5. 91
  6. 35
  7. 26
  8. 47
  9. 46
  10. 74
  11. 32
  12. 25
  13. 58
  14. 29
  15. 66
  16. 26
  17. 57
  18. 7
  19. 38
  20. 75
  21. 71
  22. 107
  23. 21
  24. 57
  25. 24
  26. 90
  27. 42
  28. 23
  29. 18
  30. 23
  31. 65
  32. 48
  33. 71
  34. 52
  35. 44
  36. 23
  37. 63
  38. 26
  39. 8
  40. 21

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