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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 806 · 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 28, 29, 32, 43 and 18? (a) 32 (b) 29 (c) 30 (d) 31
  2. 2.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 18 (b) 64 (c) 50 (d) 48
  3. 3.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 30 (c) 66 (d) 90
  4. 4.What is the average of 8, 22, 26, 29, 13 and 22? (a) 19 (b) 20 (c) 24 (d) 21
  5. 5.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 35 (b) 30 (c) 6 (d) 59
  6. 6.What is the average of 51, 48, 54, 65 and 97? (a) 64 (b) 63 (c) 62 (d) 65
  7. 7.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 4 (b) 59 (c) 33 (d) 30
  8. 8.What is the average of all the whole numbers from 22 to 60? (a) 38 (b) 42 (c) 41 (d) 19
  9. 9.A batter has an average of 34 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 42 (b) 76 (c) 48 (d) 41
  10. 10.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 94 (b) 16 (c) 49 (d) 61
  11. 11.What is the average of 13, 10, 19 and 50? (a) 22 (b) 24 (c) 23 (d) 25
  12. 12.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 53 (b) 40 (c) 15 (d) 28
  13. 13.What is the average of 48, 47, 59 and 86? (a) 60 (b) 61 (c) 59 (d) 80
  14. 14.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 37 (b) 17 (c) 9 (d) 8
  15. 15.What is the average of all the whole numbers from 10 to 40? (a) 26 (b) 30 (c) 15 (d) 25
  16. 16.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 47 (b) 40 (c) 39 (d) 96
  17. 17.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 12 (b) 33 (c) 35 (d) 43
  18. 18.What is the average of 34, 34, 21, 34, 30 and 27? (a) 36 (b) 29 (c) 31 (d) 30
  19. 19.What is the average of 36, 31, 17, 46 and 25? (a) 30 (b) 33 (c) 31 (d) 32
  20. 20.What is the average of all the whole numbers from 20 to 34? (a) 27 (b) 14 (c) 28 (d) 7
  21. 21.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 33 (c) 18 (d) 47
  22. 22.What is the average of 55, 53, 71 and 69? (a) 61 (b) 63 (c) 62 (d) 64
  23. 23.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 52 (b) 8 (c) 45 (d) 89
  24. 24.What is the average of 20, 20, 16, 36 and 43? (a) 26 (b) 29 (c) 27 (d) 28
  25. 25.What is the average of 77, 59, 73, 77 and 59? (a) 70 (b) 68 (c) 71 (d) 69
  26. 26.What is the average of 57, 59, 40 and 52? (a) 51 (b) 53 (c) 54 (d) 52
  27. 27.What is the average of 28, 35, 48, 32 and 57? (a) 41 (b) 50 (c) 39 (d) 40
  28. 28.What is the average of all the whole numbers from 57 to 81? (a) 69 (b) 70 (c) 24 (d) 12
  29. 29.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 21 (b) 41 (c) 27 (d) 7
  30. 30.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 27? (a) 42 (b) 32 (c) 27 (d) 20
  31. 31.What is the average of all the whole numbers from 35 to 63? (a) 49 (b) 50 (c) 28 (d) 14
  32. 32.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 51 (c) 10 (d) 45
  33. 33.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 41 (b) 35 (c) 71 (d) 77
  34. 34.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 60 (b) 37 (c) 85 (d) 31
  35. 35.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 16 (b) 41 (c) 33 (d) 29
  36. 36.What is the average of 41, 41, 19 and 31? (a) 32 (b) 33 (c) 44 (d) 34
  37. 37.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 27? (a) 27 (b) 14 (c) 39 (d) 29
  38. 38.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 59? (a) 64 (b) 35 (c) 59 (d) 89
  39. 39.What is the average of all the whole numbers from 12 to 18? (a) 15 (b) 6 (c) 3 (d) 16
  40. 40.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 108 (b) 60 (c) 52 (d) 64

Answer key

  1. 30
  2. 64
  3. 90
  4. 20
  5. 35
  6. 63
  7. 33
  8. 41
  9. 76
  10. 61
  11. 23
  12. 40
  13. 60
  14. 8
  15. 25
  16. 39
  17. 43
  18. 30
  19. 31
  20. 27
  21. 47
  22. 62
  23. 52
  24. 27
  25. 69
  26. 52
  27. 40
  28. 69
  29. 27
  30. 42
  31. 49
  32. 51
  33. 71
  34. 85
  35. 41
  36. 33
  37. 39
  38. 89
  39. 15
  40. 108

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