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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 124 · 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 all the whole numbers from 51 to 61? (a) 56 (b) 5 (c) 57 (d) 10
  2. 2.What is the average of 29, 10, 16 and 45? (a) 26 (b) 24 (c) 27 (d) 25
  3. 3.What is the average of all the whole numbers from 23 to 55? (a) 39 (b) 32 (c) 16 (d) 40
  4. 4.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 45 (b) 28 (c) 86 (d) 69
  5. 5.What is the average of 55, 52, 55, 74, 56 and 98? (a) 78 (b) 66 (c) 64 (d) 65
  6. 6.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 64? (a) 54 (b) 112 (c) 64 (d) 70
  7. 7.What is the average of all the whole numbers from 60 to 96? (a) 18 (b) 36 (c) 79 (d) 78
  8. 8.The average of 6 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) 25 (d) 12
  9. 9.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 43 (b) 35 (c) 72 (d) 99
  10. 10.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 34 (b) 25 (c) 14 (d) 23
  11. 11.What is the average of 33, 44, 35 and 12? (a) 30 (b) 33 (c) 31 (d) 32
  12. 12.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 36 (b) 76 (c) 13 (d) 12
  13. 13.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 48 (b) 68 (c) 16 (d) 36
  14. 14.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 14 (b) 13 (c) 39 (d) 19
  15. 15.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 59? (a) 59 (b) 99 (c) 48 (d) 67
  16. 16.What is the average of 25, 32, 18, 39 and 46? (a) 31 (b) 40 (c) 32 (d) 33
  17. 17.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 45 (b) 18 (c) 22 (d) 17
  18. 18.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 46 (b) 39 (c) 35 (d) 67
  19. 19.What is the average of all the whole numbers from 30 to 70? (a) 20 (b) 51 (c) 40 (d) 50
  20. 20.What is the average of all the whole numbers from 59 to 83? (a) 71 (b) 12 (c) 24 (d) 72
  21. 21.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 51? (a) 51 (b) 21 (c) 69 (d) 54
  22. 22.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 31 (b) 10 (c) 15 (d) 9
  23. 23.What is the average of 61, 51, 46, 70, 64 and 62? (a) 59 (b) 61 (c) 58 (d) 60
  24. 24.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 64? (a) 71 (b) 64 (c) 42 (d) 99
  25. 25.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 16 (b) 32 (c) 44 (d) 30
  26. 26.A batter has an average of 54 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 58 (c) 72 (d) 18
  27. 27.A batter has an average of 51 runs in 6 matches. How many runs are needed in the next match to raise the average to 59? (a) 107 (b) 56 (c) 59 (d) 67
  28. 28.What is the average of 29, 27, 35, 27, 51 and 53? (a) 37 (b) 36 (c) 39 (d) 38
  29. 29.What is the average of all the whole numbers from 31 to 57? (a) 45 (b) 44 (c) 13 (d) 26
  30. 30.What is the average of 72, 65, 62 and 97? (a) 75 (b) 74 (c) 73 (d) 76
  31. 31.What is the average of all the whole numbers from 21 to 49? (a) 35 (b) 28 (c) 36 (d) 14
  32. 32.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 79 (b) 40 (c) 77 (d) 42
  33. 33.What is the average of 35, 36, 23 and 26? (a) 30 (b) 31 (c) 29 (d) 40
  34. 34.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 29 (b) 45 (c) 27 (d) 20
  35. 35.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 48 (c) 42 (d) 74
  36. 36.What is the average of all the whole numbers from 10 to 32? (a) 11 (b) 20 (c) 22 (d) 21
  37. 37.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 16 (b) 55 (c) 80 (d) 41
  38. 38.What is the average of all the whole numbers from 47 to 57? (a) 53 (b) 10 (c) 5 (d) 52
  39. 39.What is the average of 84, 63, 72 and 73? (a) 75 (b) 74 (c) 73 (d) 72
  40. 40.What is the average of 31, 19, 22 and 36? (a) 36 (b) 28 (c) 26 (d) 27

Answer key

  1. 56
  2. 25
  3. 39
  4. 69
  5. 65
  6. 112
  7. 78
  8. 25
  9. 99
  10. 34
  11. 31
  12. 12
  13. 48
  14. 13
  15. 99
  16. 32
  17. 17
  18. 67
  19. 50
  20. 71
  21. 69
  22. 9
  23. 59
  24. 99
  25. 44
  26. 72
  27. 107
  28. 37
  29. 44
  30. 74
  31. 35
  32. 77
  33. 30
  34. 45
  35. 74
  36. 21
  37. 55
  38. 52
  39. 73
  40. 27

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