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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 530 · 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 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 62 (c) 8 (d) 66
  2. 2.What is the average of all the whole numbers from 18 to 36? (a) 28 (b) 18 (c) 9 (d) 27
  3. 3.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 33 (b) 28 (c) 53 (d) 29
  4. 4.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 54 (b) 30 (c) 32 (d) 38
  5. 5.What is the average of 19, 18, 33, 31 and 14? (a) 25 (b) 23 (c) 24 (d) 22
  6. 6.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 42 (b) 43 (c) 46 (d) 93
  7. 7.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 7 (b) 17 (c) 23 (d) 33
  8. 8.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 57? (a) 75 (b) 59 (c) 20 (d) 57
  9. 9.What is the average of 37, 20, 21 and 38? (a) 28 (b) 29 (c) 31 (d) 30
  10. 10.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 39 (b) 81 (c) 19 (d) 18
  11. 11.What is the average of 83, 82, 79, 74 and 22? (a) 67 (b) 69 (c) 85 (d) 68
  12. 12.What is the average of 31, 32, 36, 43 and 3? (a) 30 (b) 29 (c) 28 (d) 31
  13. 13.What is the average of all the whole numbers from 44 to 84? (a) 40 (b) 64 (c) 20 (d) 65
  14. 14.What is the average of all the whole numbers from 17 to 31? (a) 25 (b) 14 (c) 7 (d) 24
  15. 15.What is the average of all the whole numbers from 10 to 50? (a) 31 (b) 30 (c) 20 (d) 40
  16. 16.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 72 (b) 24 (c) 35 (d) 23
  17. 17.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 27 (b) 32 (c) 50 (d) 55
  18. 18.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 39? (a) 42 (b) 63 (c) 39 (d) 27
  19. 19.What is the average of 83, 76, 88, 71, 93 and 69? (a) 80 (b) 81 (c) 96 (d) 79
  20. 20.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 7 (b) 15 (c) 21 (d) 29
  21. 21.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 39 (b) 75 (c) 18 (d) 54
  22. 22.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 51? (a) 16 (b) 51 (c) 63 (d) 55
  23. 23.What is the average of 54, 56, 54 and 108? (a) 67 (b) 69 (c) 70 (d) 68
  24. 24.What is the average of all the whole numbers from 50 to 62? (a) 57 (b) 6 (c) 56 (d) 12
  25. 25.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 33 (b) 18 (c) 27 (d) 12
  26. 26.A batter has an average of 45 runs in 8 matches. How many runs are needed in the next match to raise the average to 51? (a) 54 (b) 99 (c) 51 (d) 57
  27. 27.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 18 (b) 30 (c) 31 (d) 43
  28. 28.What is the average of 68, 73, 78 and 41? (a) 67 (b) 64 (c) 65 (d) 66
  29. 29.What is the average of 58, 70, 74, 77 and 71? (a) 69 (b) 71 (c) 72 (d) 70
  30. 30.What is the average of 58, 60, 79 and 87? (a) 72 (b) 70 (c) 73 (d) 71
  31. 31.What is the average of 15, 23, 15 and 39? (a) 24 (b) 22 (c) 25 (d) 23
  32. 32.What is the average of 55, 52, 54, 32, 49 and 10? (a) 43 (b) 41 (c) 44 (d) 42
  33. 33.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 21 (b) 12 (c) 44 (d) 11
  34. 34.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 20 (b) 44 (c) 32 (d) 28
  35. 35.What is the average of all the whole numbers from 6 to 46? (a) 27 (b) 20 (c) 26 (d) 40
  36. 36.What is the average of 38, 35, 30 and 41? (a) 35 (b) 48 (c) 36 (d) 37
  37. 37.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 35 (b) 21 (c) 73 (d) 20
  38. 38.What is the average of 34, 60, 39, 38 and 59? (a) 48 (b) 46 (c) 47 (d) 45
  39. 39.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 48 (b) 45 (c) 85 (d) 53
  40. 40.What is the average of 21, 48, 26, 45 and 35? (a) 36 (b) 34 (c) 37 (d) 35

Answer key

  1. 66
  2. 27
  3. 53
  4. 54
  5. 23
  6. 42
  7. 23
  8. 75
  9. 29
  10. 18
  11. 68
  12. 29
  13. 64
  14. 24
  15. 30
  16. 23
  17. 55
  18. 63
  19. 80
  20. 21
  21. 54
  22. 63
  23. 68
  24. 56
  25. 27
  26. 99
  27. 43
  28. 65
  29. 70
  30. 71
  31. 23
  32. 42
  33. 11
  34. 44
  35. 26
  36. 36
  37. 20
  38. 46
  39. 85
  40. 35

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