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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 522 · 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 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 25? (a) 28 (b) 21 (c) 25 (d) 43
  2. 2.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 10 (b) 28 (c) 54 (d) 36
  3. 3.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) 32 (b) 30 (c) 16 (d) 44
  4. 4.What is the average of all the whole numbers from 27 to 57? (a) 30 (b) 42 (c) 43 (d) 15
  5. 5.What is the average of 81, 70, 66, 83, 77 and 43? (a) 70 (b) 69 (c) 84 (d) 71
  6. 6.What is the average of all the whole numbers from 14 to 30? (a) 23 (b) 16 (c) 8 (d) 22
  7. 7.What is the average of all the whole numbers from 31 to 45? (a) 14 (b) 38 (c) 39 (d) 7
  8. 8.What is the average of 23, 22, 22 and 25? (a) 24 (b) 22 (c) 23 (d) 25
  9. 9.What is the average of 42, 40, 50 and 12? (a) 35 (b) 36 (c) 37 (d) 48
  10. 10.A batter has an average of 38 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 44 (b) 68 (c) 41 (d) 30
  11. 11.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 65? (a) 89 (b) 65 (c) 73 (d) 32
  12. 12.What is the average of 21, 39, 21, 33 and 26? (a) 35 (b) 27 (c) 29 (d) 28
  13. 13.What is the average of all the whole numbers from 59 to 91? (a) 75 (b) 32 (c) 16 (d) 76
  14. 14.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 34 (b) 20 (c) 19 (d) 73
  15. 15.What is the average of 59, 72, 69, 68, 48 and 38? (a) 60 (b) 58 (c) 59 (d) 61
  16. 16.What is the average of 52, 46, 52, 43, 66 and 65? (a) 54 (b) 56 (c) 53 (d) 55
  17. 17.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 26 (b) 16 (c) 48 (d) 38
  18. 18.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 49? (a) 91 (b) 56 (c) 92 (d) 49
  19. 19.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 11 (b) 17 (c) 35 (d) 41
  20. 20.What is the average of all the whole numbers from 5 to 31? (a) 18 (b) 26 (c) 19 (d) 13
  21. 21.What is the average of all the whole numbers from 13 to 23? (a) 19 (b) 10 (c) 5 (d) 18
  22. 22.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 49? (a) 35 (b) 56 (c) 49 (d) 77
  23. 23.What is the average of all the whole numbers from 51 to 71? (a) 61 (b) 20 (c) 10 (d) 62
  24. 24.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 21 (b) 45 (c) 63 (d) 87
  25. 25.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 54 (b) 48 (c) 24 (d) 66
  26. 26.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 34? (a) 34 (b) 40 (c) 70 (d) 42
  27. 27.What is the average of 42, 30, 43, 45 and 65? (a) 45 (b) 44 (c) 46 (d) 47
  28. 28.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 55 (b) 15 (c) 64 (d) 52
  29. 29.What is the average of 27, 41, 38, 43, 34 and 15? (a) 32 (b) 35 (c) 33 (d) 34
  30. 30.What is the average of all the whole numbers from 48 to 54? (a) 52 (b) 6 (c) 51 (d) 3
  31. 31.What is the average of all the whole numbers from 45 to 61? (a) 8 (b) 54 (c) 53 (d) 16
  32. 32.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 15 (b) 25 (c) 13 (d) 23
  33. 33.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 60 (b) 40 (c) 24 (d) 76
  34. 34.What is the average of 52, 32, 45, 37, 57 and 59? (a) 48 (b) 46 (c) 49 (d) 47
  35. 35.What is the average of 59, 59, 65 and 109? (a) 75 (b) 73 (c) 74 (d) 72
  36. 36.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) 32 (c) 24 (d) 52
  37. 37.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) 42 (b) 77 (c) 79 (d) 40
  38. 38.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 41 (b) 28 (c) 34 (d) 55
  39. 39.What is the average of all the whole numbers from 11 to 19? (a) 16 (b) 8 (c) 15 (d) 4
  40. 40.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 39 (b) 30 (c) 33 (d) 12

Answer key

  1. 43
  2. 36
  3. 44
  4. 42
  5. 70
  6. 22
  7. 38
  8. 23
  9. 36
  10. 68
  11. 89
  12. 28
  13. 75
  14. 19
  15. 59
  16. 54
  17. 38
  18. 91
  19. 41
  20. 18
  21. 18
  22. 77
  23. 61
  24. 63
  25. 66
  26. 70
  27. 45
  28. 64
  29. 33
  30. 51
  31. 53
  32. 25
  33. 60
  34. 47
  35. 73
  36. 52
  37. 77
  38. 55
  39. 15
  40. 39

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