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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 471 · 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 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 25? (a) 29 (b) 57 (c) 25 (d) 36
  2. 2.What is the average of 18, 22, 34, 43, 32 and 43? (a) 32 (b) 31 (c) 33 (d) 34
  3. 3.A batter has an average of 38 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 44 (b) 30 (c) 68 (d) 41
  4. 4.A batter has an average of 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 60? (a) 95 (b) 42 (c) 67 (d) 60
  5. 5.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 18 (b) 8 (c) 11 (d) 21
  6. 6.What is the average of all the whole numbers from 25 to 35? (a) 10 (b) 5 (c) 30 (d) 31
  7. 7.What is the average of 70, 79, 82, 71 and 43? (a) 70 (b) 68 (c) 69 (d) 71
  8. 8.What is the average of 64, 64, 61, 77 and 49? (a) 63 (b) 62 (c) 64 (d) 65
  9. 9.What is the average of all the whole numbers from 35 to 47? (a) 42 (b) 12 (c) 6 (d) 41
  10. 10.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 12 (b) 75 (c) 48 (d) 39
  11. 11.What is the average of 35, 31, 37, 51 and 46? (a) 41 (b) 39 (c) 40 (d) 50
  12. 12.What is the average of 74, 68, 76, 67, 67 and 32? (a) 63 (b) 64 (c) 66 (d) 65
  13. 13.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 52 (c) 20 (d) 42
  14. 14.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 43 (b) 24 (c) 20 (d) 39
  15. 15.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 60? (a) 68 (b) 62 (c) 10 (d) 60
  16. 16.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 43? (a) 99 (b) 50 (c) 63 (d) 43
  17. 17.What is the average of 80, 87, 78 and 55? (a) 76 (b) 100 (c) 74 (d) 75
  18. 18.What is the average of 23, 12, 15 and 30? (a) 20 (b) 21 (c) 22 (d) 19
  19. 19.What is the average of all the whole numbers from 53 to 77? (a) 65 (b) 12 (c) 24 (d) 66
  20. 20.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 42 (b) 63 (c) 24 (d) 81
  21. 21.What is the average of 35, 44, 38 and 19? (a) 33 (b) 36 (c) 35 (d) 34
  22. 22.What is the average of all the whole numbers from 23 to 31? (a) 27 (b) 8 (c) 4 (d) 28
  23. 23.What is the average of 50, 56, 57 and 45? (a) 51 (b) 52 (c) 53 (d) 54
  24. 24.A batter has an average of 42 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 60 (b) 48 (c) 102 (d) 54
  25. 25.What is the average of all the whole numbers from 35 to 51? (a) 43 (b) 44 (c) 16 (d) 8
  26. 26.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 27 (b) 41 (c) 85 (d) 26
  27. 27.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 45 (b) 102 (c) 50 (d) 44
  28. 28.What is the average of 26, 50, 52, 30, 43 and 33? (a) 40 (b) 41 (c) 38 (d) 39
  29. 29.A batter has an average of 59 runs in 6 matches. How many runs are needed in the next match to raise the average to 61? (a) 63 (b) 73 (c) 61 (d) 14
  30. 30.What is the average of all the whole numbers from 9 to 39? (a) 15 (b) 25 (c) 30 (d) 24
  31. 31.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 36 (b) 35 (c) 29 (d) 57
  32. 32.What is the average of 49, 68, 78 and 61? (a) 66 (b) 65 (c) 64 (d) 63
  33. 33.What is the average of all the whole numbers from 54 to 80? (a) 13 (b) 26 (c) 67 (d) 68
  34. 34.What is the average of 39, 45, 45, 36 and 30? (a) 40 (b) 41 (c) 38 (d) 39
  35. 35.What is the average of 50, 75, 61, 52, 74 and 78? (a) 64 (b) 65 (c) 78 (d) 66
  36. 36.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 46 (b) 47 (c) 101 (d) 50
  37. 37.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 66 (c) 42 (d) 32
  38. 38.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 29 (b) 28 (c) 71 (d) 35
  39. 39.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 35 (b) 40 (c) 61 (d) 33
  40. 40.What is the average of 38, 50, 26, 36 and 35? (a) 38 (b) 36 (c) 39 (d) 37

Answer key

  1. 57
  2. 32
  3. 68
  4. 95
  5. 18
  6. 30
  7. 69
  8. 63
  9. 41
  10. 48
  11. 40
  12. 64
  13. 52
  14. 39
  15. 68
  16. 99
  17. 75
  18. 20
  19. 65
  20. 63
  21. 34
  22. 27
  23. 52
  24. 102
  25. 43
  26. 26
  27. 44
  28. 39
  29. 73
  30. 24
  31. 57
  32. 64
  33. 67
  34. 39
  35. 65
  36. 46
  37. 66
  38. 28
  39. 61
  40. 37

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