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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 652 · 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 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 58? (a) 64 (b) 54 (c) 106 (d) 58
  2. 2.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 52 (b) 65 (c) 34 (d) 21
  3. 3.What is the average of 71, 89, 88, 84, 87 and 55? (a) 80 (b) 79 (c) 81 (d) 78
  4. 4.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 43 (b) 24 (c) 91 (d) 23
  5. 5.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 92 (b) 42 (c) 64 (d) 57
  6. 6.What is the average of all the whole numbers from 19 to 53? (a) 36 (b) 17 (c) 34 (d) 37
  7. 7.What is the average of 46, 57, 56, 45, 65 and 37? (a) 53 (b) 52 (c) 50 (d) 51
  8. 8.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 34 (b) 40 (c) 8 (d) 66
  9. 9.A batter has an average of 50 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 90 (b) 54 (c) 40 (d) 58
  10. 10.What is the average of 35, 11, 29 and 5? (a) 19 (b) 22 (c) 21 (d) 20
  11. 11.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 38 (b) 18 (c) 73 (d) 53
  12. 12.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 40 (b) 37 (c) 38 (d) 81
  13. 13.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 50 (b) 59 (c) 47 (d) 15
  14. 14.What is the average of all the whole numbers from 10 to 34? (a) 24 (b) 12 (c) 22 (d) 23
  15. 15.What is the average of 36, 36, 25 and 55? (a) 39 (b) 37 (c) 38 (d) 40
  16. 16.What is the average of all the whole numbers from 30 to 58? (a) 45 (b) 28 (c) 44 (d) 14
  17. 17.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 68 (c) 52 (d) 32
  18. 18.What is the average of 33, 14, 35, 28 and 20? (a) 25 (b) 27 (c) 28 (d) 26
  19. 19.A batter has an average of 50 runs in 6 matches. How many runs are needed in the next match to raise the average to 53? (a) 21 (b) 71 (c) 56 (d) 53
  20. 20.What is the average of all the whole numbers from 19 to 57? (a) 39 (b) 37 (c) 38 (d) 19
  21. 21.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 37 (c) 28 (d) 57
  22. 22.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 10 (b) 3 (c) 4 (d) 21
  23. 23.What is the average of 34, 44, 40, 43 and 14? (a) 36 (b) 34 (c) 35 (d) 37
  24. 24.What is the average of all the whole numbers from 49 to 57? (a) 8 (b) 53 (c) 54 (d) 4
  25. 25.What is the average of 80, 64, 68 and 72? (a) 72 (b) 71 (c) 70 (d) 73
  26. 26.What is the average of 35, 21, 27, 45, 27 and 43? (a) 33 (b) 32 (c) 35 (d) 34
  27. 27.What is the average of all the whole numbers from 6 to 16? (a) 12 (b) 5 (c) 10 (d) 11
  28. 28.What is the average of 19, 19, 43 and 47? (a) 32 (b) 31 (c) 33 (d) 34
  29. 29.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 54 (b) 34 (c) 24 (d) 64
  30. 30.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 51 (c) 24 (d) 33
  31. 31.What is the average of 70, 70, 46, 51, 64 and 29? (a) 54 (b) 56 (c) 55 (d) 66
  32. 32.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 55 (c) 8 (d) 59
  33. 33.What is the average of 48, 56, 50, 41 and 65? (a) 65 (b) 53 (c) 51 (d) 52
  34. 34.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 6 (b) 10 (c) 19 (d) 15
  35. 35.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 35 (b) 34 (c) 89 (d) 43
  36. 36.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 62 (b) 28 (c) 41 (d) 48
  37. 37.What is the average of 35, 15, 29 and 5? (a) 22 (b) 21 (c) 28 (d) 20
  38. 38.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 12 (b) 46 (c) 24 (d) 34
  39. 39.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 12 (b) 74 (c) 38 (d) 48
  40. 40.What is the average of 21, 28, 28, 34 and 24? (a) 29 (b) 28 (c) 27 (d) 26

Answer key

  1. 106
  2. 52
  3. 79
  4. 23
  5. 92
  6. 36
  7. 51
  8. 40
  9. 90
  10. 20
  11. 53
  12. 37
  13. 59
  14. 22
  15. 38
  16. 44
  17. 68
  18. 26
  19. 71
  20. 38
  21. 57
  22. 3
  23. 35
  24. 53
  25. 71
  26. 33
  27. 11
  28. 32
  29. 54
  30. 51
  31. 55
  32. 59
  33. 52
  34. 15
  35. 34
  36. 62
  37. 21
  38. 34
  39. 48
  40. 27

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