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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 66 · 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 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 35? (a) 40 (b) 71 (c) 35 (d) 70
  2. 2.A batter has an average of 42 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 12 (b) 44 (c) 54 (d) 46
  3. 3.What is the average of 81, 86, 74, 66 and 73? (a) 75 (b) 95 (c) 77 (d) 76
  4. 4.What is the average of 20, 22, 36, 10, 24 and 14? (a) 20 (b) 23 (c) 21 (d) 22
  5. 5.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 28 (c) 16 (d) 40
  6. 6.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 52? (a) 59 (b) 35 (c) 80 (d) 52
  7. 7.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 30 (b) 10 (c) 16 (d) 24
  8. 8.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 54 (c) 64 (d) 20
  9. 9.What is the average of all the whole numbers from 24 to 50? (a) 38 (b) 26 (c) 13 (d) 37
  10. 10.What is the average of 83, 74, 82 and 81? (a) 81 (b) 82 (c) 80 (d) 79
  11. 11.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 13 (b) 71 (c) 14 (d) 34
  12. 12.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 39 (c) 48 (d) 71
  13. 13.What is the average of 69, 73, 73 and 105? (a) 80 (b) 82 (c) 79 (d) 81
  14. 14.What is the average of 15, 28, 25, 16 and 26? (a) 23 (b) 22 (c) 24 (d) 21
  15. 15.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 42? (a) 45 (b) 66 (c) 27 (d) 42
  16. 16.What is the average of 83, 77, 88, 77 and 50? (a) 77 (b) 75 (c) 76 (d) 74
  17. 17.What is the average of 15, 18, 23, 15 and 79? (a) 29 (b) 31 (c) 32 (d) 30
  18. 18.What is the average of 59, 58, 60, 54 and 34? (a) 55 (b) 54 (c) 52 (d) 53
  19. 19.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 65 (b) 56 (c) 58 (d) 107
  20. 20.What is the average of all the whole numbers from 12 to 52? (a) 20 (b) 40 (c) 33 (d) 32
  21. 21.What is the average of 38, 10, 15, 14, 15 and 58? (a) 26 (b) 25 (c) 24 (d) 30
  22. 22.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 24 (c) 55 (d) 37
  23. 23.What is the average of 31, 45, 25 and 19? (a) 40 (b) 29 (c) 31 (d) 30
  24. 24.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 16 (b) 11 (c) 21 (d) 6
  25. 25.What is the average of all the whole numbers from 55 to 79? (a) 24 (b) 68 (c) 12 (d) 67
  26. 26.What is the average of all the whole numbers from 5 to 25? (a) 10 (b) 16 (c) 15 (d) 20
  27. 27.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 66 (b) 42 (c) 10 (d) 34
  28. 28.What is the average of 71, 63, 60 and 30? (a) 57 (b) 58 (c) 55 (d) 56
  29. 29.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 78 (b) 38 (c) 29 (d) 28
  30. 30.What is the average of all the whole numbers from 44 to 62? (a) 9 (b) 18 (c) 54 (d) 53
  31. 31.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 37? (a) 12 (b) 37 (c) 46 (d) 40
  32. 32.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 91 (b) 38 (c) 45 (d) 39
  33. 33.What is the average of all the whole numbers from 12 to 20? (a) 16 (b) 8 (c) 17 (d) 4
  34. 34.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 19 (b) 8 (c) 41 (d) 7
  35. 35.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 34 (b) 19 (c) 18 (d) 35
  36. 36.What is the average of all the whole numbers from 55 to 75? (a) 66 (b) 65 (c) 10 (d) 20
  37. 37.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 30 (b) 82 (c) 40 (d) 31
  38. 38.What is the average of 62, 62, 45, 47 and 69? (a) 58 (b) 59 (c) 56 (d) 57
  39. 39.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 14 (b) 29 (c) 13 (d) 62
  40. 40.What is the average of all the whole numbers from 16 to 26? (a) 5 (b) 10 (c) 21 (d) 22

Answer key

  1. 70
  2. 54
  3. 76
  4. 21
  5. 40
  6. 80
  7. 24
  8. 64
  9. 37
  10. 80
  11. 13
  12. 71
  13. 80
  14. 22
  15. 66
  16. 75
  17. 30
  18. 53
  19. 107
  20. 32
  21. 25
  22. 55
  23. 30
  24. 16
  25. 67
  26. 15
  27. 42
  28. 56
  29. 28
  30. 53
  31. 46
  32. 38
  33. 16
  34. 7
  35. 34
  36. 65
  37. 30
  38. 57
  39. 13
  40. 21

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