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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 859 · 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 38, 45, 36, 33 and 88? (a) 47 (b) 49 (c) 60 (d) 48
  2. 2.What is the average of all the whole numbers from 29 to 43? (a) 36 (b) 14 (c) 7 (d) 37
  3. 3.A batter has an average of 60 runs in 5 matches. How many runs are needed in the next match to raise the average to 68? (a) 76 (b) 108 (c) 48 (d) 68
  4. 4.What is the average of 79, 68, 94, 69 and 90? (a) 79 (b) 81 (c) 80 (d) 100
  5. 5.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 47 (b) 6 (c) 93 (d) 52
  6. 6.What is the average of all the whole numbers from 20 to 26? (a) 24 (b) 6 (c) 3 (d) 23
  7. 7.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 52 (b) 43 (c) 15 (d) 40
  8. 8.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 20 (b) 92 (c) 48 (d) 64
  9. 9.What is the average of all the whole numbers from 16 to 56? (a) 37 (b) 40 (c) 20 (d) 36
  10. 10.What is the average of 83, 61, 63, 59, 57 and 91? (a) 68 (b) 69 (c) 71 (d) 70
  11. 11.A batter has an average of 33 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 45 (b) 75 (c) 39 (d) 42
  12. 12.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 25 (c) 41 (d) 56
  13. 13.What is the average of 33, 33, 26, 38, 29 and 75? (a) 38 (b) 39 (c) 40 (d) 41
  14. 14.What is the average of 33, 42, 46 and 7? (a) 33 (b) 34 (c) 32 (d) 31
  15. 15.What is the average of all the whole numbers from 7 to 29? (a) 22 (b) 11 (c) 18 (d) 19
  16. 16.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 43 (c) 15 (d) 34
  17. 17.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 38 (c) 45 (d) 73
  18. 18.What is the average of 25, 35, 15 and 33? (a) 36 (b) 28 (c) 27 (d) 26
  19. 19.What is the average of all the whole numbers from 39 to 77? (a) 59 (b) 58 (c) 38 (d) 19
  20. 20.What is the average of 22, 27, 12, 29 and 15? (a) 21 (b) 20 (c) 23 (d) 22
  21. 21.What is the average of 60, 55, 74, 74 and 42? (a) 63 (b) 62 (c) 60 (d) 61
  22. 22.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 56? (a) 56 (b) 70 (c) 119 (d) 63
  23. 23.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 70 (b) 46 (c) 12 (d) 36
  24. 24.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 43 (b) 32 (c) 71 (d) 82
  25. 25.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 53? (a) 60 (b) 53 (c) 59 (d) 107
  26. 26.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 36 (b) 6 (c) 71 (d) 41
  27. 27.What is the average of all the whole numbers from 57 to 95? (a) 38 (b) 77 (c) 19 (d) 76
  28. 28.What is the average of all the whole numbers from 21 to 51? (a) 30 (b) 37 (c) 15 (d) 36
  29. 29.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 39 (b) 20 (c) 8 (d) 27
  30. 30.What is the average of 49, 47, 38 and 42? (a) 45 (b) 46 (c) 43 (d) 44
  31. 31.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 36 (b) 65 (c) 32 (d) 64
  32. 32.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 84 (b) 32 (c) 31 (d) 41
  33. 33.What is the average of 17, 34, 21 and 12? (a) 20 (b) 21 (c) 22 (d) 28
  34. 34.What is the average of all the whole numbers from 10 to 46? (a) 18 (b) 29 (c) 28 (d) 36
  35. 35.What is the average of all the whole numbers from 38 to 54? (a) 46 (b) 47 (c) 8 (d) 16
  36. 36.What is the average of 27, 48, 28, 23 and 44? (a) 36 (b) 35 (c) 34 (d) 33
  37. 37.What is the average of 85, 82, 67, 90 and 51? (a) 76 (b) 75 (c) 74 (d) 77
  38. 38.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 12 (b) 34 (c) 43 (d) 65
  39. 39.What is the average of 30, 37, 45, 38, 20 and 22? (a) 34 (b) 33 (c) 31 (d) 32
  40. 40.What is the average of 43, 36, 39, 34 and 3? (a) 31 (b) 30 (c) 33 (d) 32

Answer key

  1. 48
  2. 36
  3. 108
  4. 80
  5. 52
  6. 23
  7. 52
  8. 64
  9. 36
  10. 69
  11. 75
  12. 56
  13. 39
  14. 32
  15. 18
  16. 43
  17. 73
  18. 27
  19. 58
  20. 21
  21. 61
  22. 119
  23. 46
  24. 71
  25. 107
  26. 41
  27. 76
  28. 36
  29. 27
  30. 44
  31. 64
  32. 31
  33. 21
  34. 28
  35. 46
  36. 34
  37. 75
  38. 43
  39. 32
  40. 31

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