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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 729 · 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 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 45 (c) 80 (d) 49
  2. 2.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 14 (b) 15 (c) 55 (d) 26
  3. 3.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 52 (b) 32 (c) 56 (d) 28
  4. 4.What is the average of 60, 78, 64 and 90? (a) 74 (b) 75 (c) 72 (d) 73
  5. 5.What is the average of all the whole numbers from 24 to 34? (a) 10 (b) 30 (c) 29 (d) 5
  6. 6.What is the average of 49, 41, 59 and 51? (a) 52 (b) 51 (c) 50 (d) 49
  7. 7.A batter has an average of 58 runs in 6 matches. How many runs are needed in the next match to raise the average to 65? (a) 72 (b) 49 (c) 107 (d) 65
  8. 8.A batter has an average of 50 runs in 8 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 18 (c) 54 (d) 68
  9. 9.What is the average of 56, 35, 59 and 46? (a) 48 (b) 51 (c) 50 (d) 49
  10. 10.What is the average of 34, 34, 23 and 41? (a) 34 (b) 33 (c) 44 (d) 32
  11. 11.What is the average of 67, 65, 68, 90, 83 and 101? (a) 78 (b) 81 (c) 79 (d) 80
  12. 12.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 43 (b) 35 (c) 75 (d) 48
  13. 13.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 46 (b) 90 (c) 54 (d) 10
  14. 14.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) 63 (b) 38 (c) 32 (d) 7
  15. 15.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 20 (b) 52 (c) 67 (d) 57
  16. 16.What is the average of all the whole numbers from 53 to 79? (a) 13 (b) 67 (c) 26 (d) 66
  17. 17.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 32 (b) 71 (c) 31 (d) 35
  18. 18.What is the average of 54, 52, 40 and 42? (a) 46 (b) 48 (c) 47 (d) 49
  19. 19.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) 14 (c) 25 (d) 23
  20. 20.What is the average of 31, 20, 17, 44 and 43? (a) 31 (b) 33 (c) 32 (d) 30
  21. 21.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 54 (b) 79 (c) 31 (d) 37
  22. 22.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 64? (a) 30 (b) 64 (c) 88 (d) 70
  23. 23.What is the average of 22, 26, 40, 42 and 15? (a) 30 (b) 28 (c) 31 (d) 29
  24. 24.What is the average of 27, 14, 15 and 60? (a) 28 (b) 30 (c) 31 (d) 29
  25. 25.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 42 (c) 68 (d) 38
  26. 26.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 30 (b) 16 (c) 29 (d) 17
  27. 27.A batter has an average of 39 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 18 (c) 57 (d) 43
  28. 28.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 20 (b) 31 (c) 64 (d) 19
  29. 29.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 54 (c) 8 (d) 58
  30. 30.What is the average of all the whole numbers from 38 to 54? (a) 47 (b) 16 (c) 46 (d) 8
  31. 31.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 35 (b) 32 (c) 62 (d) 59
  32. 32.A batter has an average of 36 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 85 (b) 84 (c) 48 (d) 42
  33. 33.What is the average of all the whole numbers from 15 to 37? (a) 22 (b) 11 (c) 26 (d) 27
  34. 34.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 23 (b) 7 (c) 11 (d) 8
  35. 35.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 37 (b) 40 (c) 4 (d) 73
  36. 36.What is the average of 23, 18, 11 and 36? (a) 21 (b) 24 (c) 23 (d) 22
  37. 37.What is the average of 66, 78, 52 and 56? (a) 64 (b) 62 (c) 84 (d) 63
  38. 38.A batter has an average of 49 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 63 (b) 113 (c) 56 (d) 112
  39. 39.What is the average of all the whole numbers from 30 to 50? (a) 10 (b) 40 (c) 41 (d) 20
  40. 40.What is the average of all the whole numbers from 23 to 45? (a) 34 (b) 22 (c) 35 (d) 11

Answer key

  1. 80
  2. 14
  3. 56
  4. 73
  5. 29
  6. 50
  7. 107
  8. 68
  9. 49
  10. 33
  11. 79
  12. 75
  13. 54
  14. 38
  15. 67
  16. 66
  17. 31
  18. 47
  19. 34
  20. 31
  21. 79
  22. 88
  23. 29
  24. 29
  25. 68
  26. 29
  27. 57
  28. 19
  29. 58
  30. 46
  31. 62
  32. 84
  33. 26
  34. 7
  35. 40
  36. 22
  37. 63
  38. 112
  39. 40
  40. 34

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