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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 723 · 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 55 to 75? (a) 66 (b) 20 (c) 10 (d) 65
  2. 2.What is the average of all the whole numbers from 38 to 50? (a) 45 (b) 6 (c) 44 (d) 12
  3. 3.What is the average of all the whole numbers from 38 to 70? (a) 32 (b) 54 (c) 55 (d) 16
  4. 4.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 47 (b) 20 (c) 90 (d) 63
  5. 5.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 45 (c) 67 (d) 102
  6. 6.What is the average of 75, 52, 80 and 57? (a) 65 (b) 67 (c) 66 (d) 88
  7. 7.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 61 (b) 10 (c) 67 (d) 59
  8. 8.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 33 (b) 26 (c) 25 (d) 68
  9. 9.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 24? (a) 24 (b) 45 (c) 27 (d) 46
  10. 10.What is the average of 20, 35, 37 and 8? (a) 24 (b) 27 (c) 25 (d) 26
  11. 11.What is the average of 15, 20, 16, 35 and 14? (a) 21 (b) 20 (c) 25 (d) 19
  12. 12.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 16 (b) 18 (c) 24 (d) 10
  13. 13.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 20 (b) 37 (c) 52 (d) 42
  14. 14.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 47 (b) 38 (c) 12 (d) 73
  15. 15.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 7 (b) 63 (c) 32 (d) 38
  16. 16.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 56 (c) 83 (d) 41
  17. 17.What is the average of all the whole numbers from 6 to 18? (a) 6 (b) 11 (c) 13 (d) 12
  18. 18.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 36? (a) 38 (b) 8 (c) 42 (d) 36
  19. 19.What is the average of all the whole numbers from 35 to 45? (a) 10 (b) 5 (c) 40 (d) 41
  20. 20.What is the average of all the whole numbers from 21 to 55? (a) 39 (b) 38 (c) 17 (d) 34
  21. 21.What is the average of all the whole numbers from 21 to 37? (a) 16 (b) 8 (c) 30 (d) 29
  22. 22.A batter has an average of 46 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 16 (b) 50 (c) 62 (d) 48
  23. 23.What is the average of all the whole numbers from 10 to 20? (a) 5 (b) 10 (c) 15 (d) 16
  24. 24.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 60 (b) 52 (c) 24 (d) 32
  25. 25.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 18 (b) 43 (c) 23 (d) 38
  26. 26.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 36 (b) 8 (c) 17 (d) 7
  27. 27.What is the average of all the whole numbers from 58 to 76? (a) 9 (b) 67 (c) 18 (d) 68
  28. 28.What is the average of all the whole numbers from 32 to 46? (a) 7 (b) 39 (c) 40 (d) 14
  29. 29.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 49 (b) 27 (c) 30 (d) 52
  30. 30.What is the average of all the whole numbers from 38 to 72? (a) 55 (b) 34 (c) 17 (d) 56
  31. 31.What is the average of 27, 21, 34, 24, 22 and 52? (a) 36 (b) 30 (c) 29 (d) 31
  32. 32.What is the average of all the whole numbers from 5 to 21? (a) 8 (b) 13 (c) 16 (d) 14
  33. 33.A batter has an average of 56 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 62 (b) 30 (c) 59 (d) 86
  34. 34.What is the average of 38, 63, 60 and 35? (a) 49 (b) 51 (c) 50 (d) 48
  35. 35.What is the average of 23, 28, 24, 23 and 42? (a) 35 (b) 28 (c) 29 (d) 27
  36. 36.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 73 (c) 97 (d) 40
  37. 37.What is the average of 31, 23, 22, 25 and 59? (a) 32 (b) 33 (c) 40 (d) 31
  38. 38.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 24 (b) 25 (c) 47 (d) 46
  39. 39.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 89 (b) 43 (c) 22 (d) 23
  40. 40.What is the average of all the whole numbers from 37 to 67? (a) 15 (b) 30 (c) 53 (d) 52

Answer key

  1. 65
  2. 44
  3. 54
  4. 63
  5. 102
  6. 66
  7. 67
  8. 25
  9. 45
  10. 25
  11. 20
  12. 24
  13. 52
  14. 47
  15. 38
  16. 83
  17. 12
  18. 42
  19. 40
  20. 38
  21. 29
  22. 62
  23. 15
  24. 52
  25. 38
  26. 7
  27. 67
  28. 39
  29. 52
  30. 55
  31. 30
  32. 13
  33. 86
  34. 49
  35. 28
  36. 97
  37. 32
  38. 46
  39. 22
  40. 52

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