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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 5 · 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 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 63 (c) 40 (d) 31
  2. 2.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 38 (b) 12 (c) 20 (d) 30
  3. 3.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 15 (b) 73 (c) 61 (d) 64
  4. 4.What is the average of 39, 52, 50, 28 and 41? (a) 42 (b) 44 (c) 41 (d) 43
  5. 5.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 15 (b) 47 (c) 59 (d) 50
  6. 6.What is the average of all the whole numbers from 48 to 88? (a) 68 (b) 69 (c) 20 (d) 40
  7. 7.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 2 (b) 32 (c) 3 (d) 14
  8. 8.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 41? (a) 41 (b) 48 (c) 62 (d) 28
  9. 9.What is the average of 52, 64, 51 and 49? (a) 53 (b) 54 (c) 55 (d) 72
  10. 10.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 37 (b) 25 (c) 41 (d) 21
  11. 11.What is the average of 23, 28, 27 and 22? (a) 27 (b) 24 (c) 26 (d) 25
  12. 12.What is the average of all the whole numbers from 44 to 50? (a) 3 (b) 6 (c) 48 (d) 47
  13. 13.What is the average of all the whole numbers from 57 to 87? (a) 30 (b) 72 (c) 15 (d) 73
  14. 14.What is the average of 42, 32, 48 and 54? (a) 45 (b) 43 (c) 46 (d) 44
  15. 15.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 44 (b) 8 (c) 48 (d) 42
  16. 16.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 20 (b) 14 (c) 30 (d) 24
  17. 17.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 20 (b) 60 (c) 44 (d) 48
  18. 18.What is the average of 17, 36, 22 and 21? (a) 23 (b) 32 (c) 25 (d) 24
  19. 19.What is the average of 27, 17, 40 and 32? (a) 31 (b) 30 (c) 29 (d) 28
  20. 20.What is the average of all the whole numbers from 7 to 39? (a) 32 (b) 16 (c) 23 (d) 24
  21. 21.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 49? (a) 53 (b) 20 (c) 49 (d) 65
  22. 22.What is the average of all the whole numbers from 43 to 81? (a) 19 (b) 63 (c) 38 (d) 62
  23. 23.What is the average of 24, 22, 47, 50 and 37? (a) 36 (b) 35 (c) 45 (d) 37
  24. 24.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 65 (c) 81 (d) 32
  25. 25.What is the average of all the whole numbers from 12 to 38? (a) 26 (b) 13 (c) 25 (d) 24
  26. 26.What is the average of 51, 58, 59, 30 and 22? (a) 55 (b) 45 (c) 44 (d) 43
  27. 27.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 60 (b) 28 (c) 12 (d) 13
  28. 28.What is the average of all the whole numbers from 40 to 46? (a) 3 (b) 44 (c) 43 (d) 6
  29. 29.What is the average of all the whole numbers from 41 to 59? (a) 9 (b) 50 (c) 51 (d) 18
  30. 30.What is the average of 33, 13, 26, 32 and 26? (a) 27 (b) 26 (c) 25 (d) 28
  31. 31.What is the average of 33, 47, 55 and 57? (a) 64 (b) 47 (c) 49 (d) 48
  32. 32.What is the average of all the whole numbers from 15 to 25? (a) 10 (b) 5 (c) 21 (d) 20
  33. 33.What is the average of 48, 52, 54 and 58? (a) 52 (b) 53 (c) 55 (d) 54
  34. 34.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 86 (b) 51 (c) 45 (d) 46
  35. 35.What is the average of 26, 23, 29 and 34? (a) 29 (b) 30 (c) 28 (d) 27
  36. 36.What is the average of all the whole numbers from 41 to 65? (a) 53 (b) 24 (c) 54 (d) 12
  37. 37.What is the average of all the whole numbers from 51 to 81? (a) 67 (b) 30 (c) 66 (d) 15
  38. 38.What is the average of 57, 49, 69, 68, 65 and 16? (a) 55 (b) 56 (c) 54 (d) 53
  39. 39.A batter has an average of 56 runs in 5 matches. How many runs are needed in the next match to raise the average to 58? (a) 60 (b) 58 (c) 12 (d) 68
  40. 40.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 36 (b) 42 (c) 12 (d) 33

Answer key

  1. 63
  2. 30
  3. 73
  4. 42
  5. 59
  6. 68
  7. 2
  8. 62
  9. 54
  10. 41
  11. 25
  12. 47
  13. 72
  14. 44
  15. 48
  16. 30
  17. 60
  18. 24
  19. 29
  20. 23
  21. 65
  22. 62
  23. 36
  24. 81
  25. 25
  26. 44
  27. 12
  28. 43
  29. 50
  30. 26
  31. 48
  32. 20
  33. 53
  34. 86
  35. 28
  36. 53
  37. 66
  38. 54
  39. 68
  40. 42

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