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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 517 · 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 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 61? (a) 68 (b) 103 (c) 61 (d) 49
  2. 2.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 4 (b) 19 (c) 13 (d) 10
  3. 3.What is the average of 19, 17, 14, 19, 32 and 55? (a) 25 (b) 27 (c) 26 (d) 28
  4. 4.What is the average of all the whole numbers from 49 to 79? (a) 64 (b) 15 (c) 30 (d) 65
  5. 5.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 52 (b) 35 (c) 27 (d) 10
  6. 6.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 23? (a) 47 (b) 27 (c) 26 (d) 23
  7. 7.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 41 (b) 49 (c) 10 (d) 80
  8. 8.What is the average of 39, 28, 37 and 44? (a) 38 (b) 39 (c) 36 (d) 37
  9. 9.What is the average of 11, 35, 18, 40, 36 and 10? (a) 25 (b) 26 (c) 30 (d) 24
  10. 10.What is the average of 60, 70, 84 and 86? (a) 100 (b) 76 (c) 75 (d) 74
  11. 11.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 49 (b) 62 (c) 97 (d) 55
  12. 12.What is the average of all the whole numbers from 58 to 64? (a) 62 (b) 61 (c) 6 (d) 3
  13. 13.What is the average of all the whole numbers from 9 to 19? (a) 10 (b) 5 (c) 14 (d) 15
  14. 14.What is the average of all the whole numbers from 13 to 29? (a) 16 (b) 8 (c) 21 (d) 22
  15. 15.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 56 (b) 35 (c) 8 (d) 29
  16. 16.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 26 (b) 29 (c) 25 (d) 59
  17. 17.What is the average of all the whole numbers from 44 to 80? (a) 63 (b) 18 (c) 36 (d) 62
  18. 18.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 34 (b) 69 (c) 29 (d) 28
  19. 19.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 105 (c) 63 (d) 106
  20. 20.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 36 (b) 58 (c) 8 (d) 30
  21. 21.A batter has an average of 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 111 (c) 47 (d) 80
  22. 22.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 43 (b) 36 (c) 8 (d) 71
  23. 23.What is the average of all the whole numbers from 20 to 34? (a) 14 (b) 28 (c) 7 (d) 27
  24. 24.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 26? (a) 38 (b) 26 (c) 14 (d) 28
  25. 25.What is the average of 34, 36, 47 and 43? (a) 41 (b) 40 (c) 39 (d) 42
  26. 26.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 34 (b) 20 (c) 19 (d) 35
  27. 27.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 61? (a) 61 (b) 64 (c) 73 (d) 15
  28. 28.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 82 (b) 32 (c) 71 (d) 43
  29. 29.What is the average of all the whole numbers from 7 to 41? (a) 17 (b) 34 (c) 24 (d) 25
  30. 30.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 53 (b) 59 (c) 35 (d) 29
  31. 31.What is the average of all the whole numbers from 16 to 42? (a) 30 (b) 13 (c) 26 (d) 29
  32. 32.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 72 (b) 45 (c) 37 (d) 32
  33. 33.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 64? (a) 64 (b) 121 (c) 72 (d) 120
  34. 34.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 65? (a) 80 (b) 137 (c) 73 (d) 65
  35. 35.What is the average of 34, 57, 49, 59 and 46? (a) 50 (b) 48 (c) 49 (d) 51
  36. 36.What is the average of all the whole numbers from 41 to 73? (a) 16 (b) 58 (c) 57 (d) 32
  37. 37.What is the average of 62, 58, 63, 79, 79 and 73? (a) 71 (b) 68 (c) 69 (d) 70
  38. 38.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 5 (b) 6 (c) 25 (d) 12
  39. 39.What is the average of 47, 52, 43, 28 and 30? (a) 39 (b) 40 (c) 41 (d) 50
  40. 40.What is the average of 78, 63, 66, 75 and 33? (a) 63 (b) 64 (c) 62 (d) 65

Answer key

  1. 103
  2. 13
  3. 26
  4. 64
  5. 35
  6. 47
  7. 49
  8. 37
  9. 25
  10. 75
  11. 97
  12. 61
  13. 14
  14. 21
  15. 35
  16. 25
  17. 62
  18. 28
  19. 105
  20. 36
  21. 111
  22. 43
  23. 27
  24. 38
  25. 40
  26. 35
  27. 73
  28. 71
  29. 24
  30. 59
  31. 29
  32. 72
  33. 120
  34. 137
  35. 49
  36. 57
  37. 69
  38. 5
  39. 40
  40. 63

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