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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 578 · 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.What is the average of all the whole numbers from 26 to 46? (a) 10 (b) 37 (c) 36 (d) 20
  2. 2.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 33 (b) 18 (c) 63 (d) 48
  3. 3.A batter has an average of 52 runs in 6 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 101 (c) 49 (d) 66
  4. 4.What is the average of 79, 55, 61 and 69? (a) 67 (b) 65 (c) 66 (d) 88
  5. 5.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 18 (c) 74 (d) 60
  6. 6.A batter has an average of 47 runs in 8 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 51 (c) 65 (d) 18
  7. 7.What is the average of all the whole numbers from 38 to 60? (a) 22 (b) 11 (c) 49 (d) 50
  8. 8.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 91 (b) 59 (c) 67 (d) 40
  9. 9.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 11 (b) 23 (c) 50 (d) 12
  10. 10.What is the average of 24, 21, 27 and 72? (a) 48 (b) 37 (c) 36 (d) 35
  11. 11.What is the average of 56, 75, 70, 54, 68 and 37? (a) 61 (b) 60 (c) 59 (d) 72
  12. 12.A batter has an average of 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 53 (b) 69 (c) 49 (d) 24
  13. 13.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 56 (b) 30 (c) 51 (d) 76
  14. 14.A batter has an average of 35 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 18 (b) 39 (c) 53 (d) 37
  15. 15.What is the average of 67, 62, 52 and 75? (a) 65 (b) 66 (c) 64 (d) 63
  16. 16.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 41? (a) 24 (b) 41 (c) 44 (d) 62
  17. 17.What is the average of 40, 25, 54 and 37? (a) 52 (b) 39 (c) 40 (d) 38
  18. 18.A batter has an average of 33 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 45 (b) 39 (c) 36 (d) 69
  19. 19.What is the average of 55, 60, 70 and 83? (a) 69 (b) 66 (c) 68 (d) 67
  20. 20.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 61? (a) 40 (b) 61 (c) 96 (d) 66
  21. 21.What is the average of 47, 66, 42, 62 and 68? (a) 57 (b) 58 (c) 56 (d) 59
  22. 22.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 64 (c) 80 (d) 32
  23. 23.What is the average of 53, 49, 52, 49, 38 and 35? (a) 47 (b) 48 (c) 46 (d) 45
  24. 24.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 24 (b) 79 (c) 62 (d) 41
  25. 25.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 30? (a) 42 (b) 65 (c) 30 (d) 37
  26. 26.What is the average of all the whole numbers from 19 to 51? (a) 36 (b) 35 (c) 16 (d) 32
  27. 27.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 31 (b) 32 (c) 58 (d) 59
  28. 28.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 24 (b) 49 (c) 65 (d) 45
  29. 29.What is the average of 28, 34, 41, 43 and 44? (a) 38 (b) 40 (c) 39 (d) 37
  30. 30.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 31 (b) 75 (c) 30 (d) 37
  31. 31.What is the average of 26, 23, 16, 44 and 46? (a) 32 (b) 31 (c) 33 (d) 30
  32. 32.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 60? (a) 12 (b) 63 (c) 60 (d) 69
  33. 33.What is the average of 83, 59, 64, 59, 76 and 67? (a) 69 (b) 68 (c) 67 (d) 70
  34. 34.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 27 (b) 16 (c) 15 (d) 58
  35. 35.What is the average of 50, 54, 48 and 64? (a) 54 (b) 53 (c) 72 (d) 55
  36. 36.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 21 (b) 40 (c) 58 (d) 77
  37. 37.What is the average of 40, 49, 38 and 61? (a) 48 (b) 46 (c) 49 (d) 47
  38. 38.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 31 (b) 12 (c) 15 (d) 13
  39. 39.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 24? (a) 8 (b) 30 (c) 26 (d) 24
  40. 40.What is the average of 87, 74, 63, 88, 77 and 49? (a) 73 (b) 72 (c) 75 (d) 74

Answer key

  1. 36
  2. 48
  3. 101
  4. 66
  5. 74
  6. 65
  7. 49
  8. 91
  9. 11
  10. 36
  11. 60
  12. 69
  13. 76
  14. 53
  15. 64
  16. 62
  17. 39
  18. 69
  19. 67
  20. 96
  21. 57
  22. 80
  23. 46
  24. 62
  25. 65
  26. 35
  27. 59
  28. 65
  29. 38
  30. 30
  31. 31
  32. 69
  33. 68
  34. 15
  35. 54
  36. 58
  37. 47
  38. 12
  39. 30
  40. 73

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