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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 869 · 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 55, 59, 65, 50 and 31? (a) 53 (b) 65 (c) 52 (d) 51
  2. 2.What is the average of all the whole numbers from 20 to 38? (a) 18 (b) 30 (c) 29 (d) 9
  3. 3.What is the average of 19, 11, 11 and 63? (a) 27 (b) 25 (c) 28 (d) 26
  4. 4.A batter has an average of 39 runs in 6 matches. How many runs are needed in the next match to raise the average to 47? (a) 56 (b) 95 (c) 55 (d) 47
  5. 5.What is the average of 52, 45, 62, 55, 58 and 82? (a) 61 (b) 60 (c) 58 (d) 59
  6. 6.A batter has an average of 34 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 62 (b) 42 (c) 38 (d) 28
  7. 7.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 43 (b) 45 (c) 38 (d) 78
  8. 8.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 40? (a) 47 (b) 96 (c) 40 (d) 63
  9. 9.What is the average of all the whole numbers from 57 to 65? (a) 8 (b) 62 (c) 4 (d) 61
  10. 10.What is the average of 51, 43, 66 and 52? (a) 53 (b) 54 (c) 52 (d) 55
  11. 11.What is the average of 33, 33, 43, 43 and 73? (a) 47 (b) 46 (c) 44 (d) 45
  12. 12.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 40 (b) 90 (c) 60 (d) 55
  13. 13.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 50 (b) 14 (c) 26 (d) 38
  14. 14.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 54 (c) 28 (d) 34
  15. 15.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 29 (b) 63 (c) 28 (d) 31
  16. 16.What is the average of 25, 33, 38 and 24? (a) 29 (b) 30 (c) 40 (d) 31
  17. 17.What is the average of 69, 61, 63, 57, 53 and 93? (a) 66 (b) 65 (c) 68 (d) 67
  18. 18.What is the average of 27, 14, 15, 25 and 54? (a) 27 (b) 29 (c) 26 (d) 28
  19. 19.What is the average of 85, 56, 77, 82, 73 and 47? (a) 69 (b) 84 (c) 70 (d) 71
  20. 20.What is the average of 17, 37, 42 and 16? (a) 30 (b) 27 (c) 28 (d) 29
  21. 21.What is the average of all the whole numbers from 30 to 52? (a) 22 (b) 11 (c) 41 (d) 42
  22. 22.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 45 (b) 46 (c) 25 (d) 24
  23. 23.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 40 (b) 85 (c) 6 (d) 5
  24. 24.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 40 (b) 19 (c) 7 (d) 8
  25. 25.What is the average of all the whole numbers from 45 to 63? (a) 9 (b) 55 (c) 54 (d) 18
  26. 26.What is the average of all the whole numbers from 10 to 42? (a) 32 (b) 26 (c) 16 (d) 27
  27. 27.What is the average of all the whole numbers from 51 to 59? (a) 56 (b) 8 (c) 4 (d) 55
  28. 28.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 66? (a) 66 (b) 72 (c) 30 (d) 90
  29. 29.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 52 (b) 16 (c) 76 (d) 40
  30. 30.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 4 (b) 50 (c) 99 (d) 53
  31. 31.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) 29 (b) 15 (c) 7 (d) 21
  32. 32.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 83 (b) 15 (c) 14 (d) 39
  33. 33.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 53 (b) 35 (c) 30 (d) 29
  34. 34.A batter has an average of 45 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 51 (b) 30 (c) 48 (d) 75
  35. 35.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 12 (b) 13 (c) 24 (d) 50
  36. 36.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 56 (b) 55 (c) 30 (d) 35
  37. 37.What is the average of all the whole numbers from 21 to 43? (a) 22 (b) 11 (c) 32 (d) 33
  38. 38.What is the average of all the whole numbers from 43 to 79? (a) 61 (b) 36 (c) 62 (d) 18
  39. 39.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 50 (b) 62 (c) 98 (d) 14
  40. 40.What is the average of 11, 18, 32 and 19? (a) 19 (b) 21 (c) 22 (d) 20

Answer key

  1. 52
  2. 29
  3. 26
  4. 95
  5. 59
  6. 62
  7. 78
  8. 96
  9. 61
  10. 53
  11. 45
  12. 90
  13. 38
  14. 54
  15. 28
  16. 30
  17. 66
  18. 27
  19. 70
  20. 28
  21. 41
  22. 45
  23. 5
  24. 7
  25. 54
  26. 26
  27. 55
  28. 90
  29. 52
  30. 53
  31. 21
  32. 14
  33. 53
  34. 75
  35. 12
  36. 55
  37. 32
  38. 61
  39. 62
  40. 20

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