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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 807 · 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 42? (a) 35 (b) 34 (c) 16 (d) 8
  2. 2.What is the average of all the whole numbers from 12 to 40? (a) 28 (b) 14 (c) 27 (d) 26
  3. 3.A batter has an average of 32 runs in 9 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 20 (c) 52 (d) 36
  4. 4.A batter has an average of 36 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 42 (c) 57 (d) 21
  5. 5.What is the average of all the whole numbers from 49 to 61? (a) 6 (b) 12 (c) 56 (d) 55
  6. 6.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 12 (b) 53 (c) 56 (d) 62
  7. 7.What is the average of 47, 21, 22 and 38? (a) 34 (b) 31 (c) 32 (d) 33
  8. 8.A batter has an average of 52 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 60 (c) 72 (d) 20
  9. 9.What is the average of 26, 16, 32 and 22? (a) 23 (b) 25 (c) 24 (d) 32
  10. 10.What is the average of 36, 47, 22 and 43? (a) 38 (b) 39 (c) 36 (d) 37
  11. 11.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 51? (a) 58 (b) 51 (c) 70 (d) 114
  12. 12.What is the average of 76, 75, 65, 76, 55 and 37? (a) 65 (b) 66 (c) 63 (d) 64
  13. 13.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 30? (a) 30 (b) 40 (c) 62 (d) 38
  14. 14.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 77 (b) 53 (c) 59 (d) 30
  15. 15.What is the average of all the whole numbers from 27 to 57? (a) 15 (b) 30 (c) 43 (d) 42
  16. 16.What is the average of 44, 46, 51, 63 and 56? (a) 65 (b) 53 (c) 52 (d) 51
  17. 17.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 18 (b) 2 (c) 40 (d) 3
  18. 18.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 46 (b) 8 (c) 40 (d) 42
  19. 19.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 26 (b) 23 (c) 22 (d) 53
  20. 20.What is the average of 50, 30, 46, 28, 52 and 34? (a) 39 (b) 48 (c) 41 (d) 40
  21. 21.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 25? (a) 27 (b) 18 (c) 41 (d) 25
  22. 22.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 8 (c) 57 (d) 61
  23. 23.What is the average of 20, 40, 27, 18, 34 and 53? (a) 32 (b) 34 (c) 31 (d) 33
  24. 24.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 49 (b) 20 (c) 34 (d) 39
  25. 25.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 34 (b) 30 (c) 16 (d) 42
  26. 26.What is the average of all the whole numbers from 15 to 55? (a) 40 (b) 36 (c) 35 (d) 20
  27. 27.What is the average of 73, 85, 62, 65, 66 and 99? (a) 75 (b) 90 (c) 76 (d) 74
  28. 28.A batter has an average of 48 runs in 8 matches. How many runs are needed in the next match to raise the average to 53? (a) 45 (b) 58 (c) 93 (d) 53
  29. 29.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 70 (b) 5 (c) 33 (d) 6
  30. 30.What is the average of all the whole numbers from 35 to 53? (a) 45 (b) 44 (c) 9 (d) 18
  31. 31.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 43 (b) 47 (c) 44 (d) 95
  32. 32.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 61? (a) 40 (b) 65 (c) 97 (d) 61
  33. 33.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 29 (b) 60 (c) 17 (d) 18
  34. 34.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 20 (b) 40 (c) 36 (d) 24
  35. 35.What is the average of 16, 30, 13 and 21? (a) 21 (b) 20 (c) 22 (d) 19
  36. 36.What is the average of 65, 67, 45, 56 and 32? (a) 55 (b) 53 (c) 54 (d) 52
  37. 37.What is the average of 16, 37, 34, 9, 24 and 24? (a) 25 (b) 23 (c) 26 (d) 24
  38. 38.What is the average of all the whole numbers from 12 to 24? (a) 6 (b) 19 (c) 12 (d) 18
  39. 39.What is the average of 92, 88, 83, 89 and 43? (a) 79 (b) 80 (c) 81 (d) 78
  40. 40.What is the average of all the whole numbers from 17 to 27? (a) 10 (b) 23 (c) 22 (d) 5

Answer key

  1. 34
  2. 26
  3. 52
  4. 57
  5. 55
  6. 62
  7. 32
  8. 72
  9. 24
  10. 37
  11. 114
  12. 64
  13. 62
  14. 77
  15. 42
  16. 52
  17. 2
  18. 46
  19. 22
  20. 40
  21. 41
  22. 61
  23. 32
  24. 49
  25. 42
  26. 35
  27. 75
  28. 93
  29. 5
  30. 44
  31. 43
  32. 97
  33. 17
  34. 40
  35. 20
  36. 53
  37. 24
  38. 18
  39. 79
  40. 22

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