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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 770 · 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 15 to 35? (a) 25 (b) 10 (c) 20 (d) 26
  2. 2.What is the average of all the whole numbers from 44 to 62? (a) 18 (b) 53 (c) 54 (d) 9
  3. 3.What is the average of 62, 53, 52, 34 and 44? (a) 49 (b) 50 (c) 48 (d) 51
  4. 4.A batter has an average of 44 runs in 8 matches. How many runs are needed in the next match to raise the average to 51? (a) 107 (b) 51 (c) 58 (d) 63
  5. 5.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 37 (b) 88 (c) 38 (d) 43
  6. 6.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 23 (b) 11 (c) 50 (d) 12
  7. 7.What is the average of 62, 66, 77, 60, 71 and 114? (a) 74 (b) 90 (c) 75 (d) 76
  8. 8.What is the average of 24, 25, 14, 20, 19 and 48? (a) 24 (b) 25 (c) 26 (d) 30
  9. 9.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 46 (c) 40 (d) 10
  10. 10.What is the average of 65, 50, 48, 39 and 48? (a) 51 (b) 49 (c) 52 (d) 50
  11. 11.What is the average of 70, 66, 68 and 80? (a) 71 (b) 70 (c) 73 (d) 72
  12. 12.What is the average of 66, 54, 56 and 96? (a) 70 (b) 69 (c) 67 (d) 68
  13. 13.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 41? (a) 43 (b) 41 (c) 14 (d) 53
  14. 14.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) 24 (b) 12 (c) 13 (d) 50
  15. 15.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 26 (b) 41 (c) 21 (d) 6
  16. 16.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 38 (c) 34 (d) 8
  17. 17.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 42 (b) 35 (c) 63 (d) 91
  18. 18.What is the average of all the whole numbers from 9 to 21? (a) 15 (b) 6 (c) 12 (d) 16
  19. 19.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 32 (b) 28 (c) 60 (d) 56
  20. 20.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 80 (b) 28 (c) 66 (d) 42
  21. 21.What is the average of 71, 68, 62, 56 and 78? (a) 68 (b) 67 (c) 66 (d) 69
  22. 22.What is the average of all the whole numbers from 43 to 71? (a) 58 (b) 28 (c) 57 (d) 14
  23. 23.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 40 (c) 56 (d) 80
  24. 24.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 21 (b) 12 (c) 31 (d) 30
  25. 25.What is the average of all the whole numbers from 28 to 34? (a) 32 (b) 3 (c) 6 (d) 31
  26. 26.What is the average of 23, 19, 37 and 37? (a) 30 (b) 29 (c) 28 (d) 31
  27. 27.A batter has an average of 52 runs in 6 matches. How many runs are needed in the next match to raise the average to 60? (a) 108 (b) 56 (c) 68 (d) 60
  28. 28.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 8 (b) 36 (c) 76 (d) 9
  29. 29.What is the average of 76, 61, 80, 55 and 68? (a) 67 (b) 85 (c) 69 (d) 68
  30. 30.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 12 (b) 26 (c) 35 (d) 49
  31. 31.A batter has an average of 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 63 (b) 14 (c) 53 (d) 51
  32. 32.What is the average of all the whole numbers from 49 to 55? (a) 6 (b) 53 (c) 3 (d) 52
  33. 33.What is the average of 78, 60, 63 and 71? (a) 70 (b) 68 (c) 69 (d) 67
  34. 34.What is the average of all the whole numbers from 12 to 30? (a) 18 (b) 9 (c) 21 (d) 22
  35. 35.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 6 (b) 33 (c) 15 (d) 7
  36. 36.What is the average of 79, 89, 62, 85, 70 and 77? (a) 77 (b) 79 (c) 78 (d) 76
  37. 37.What is the average of 33, 37, 27 and 63? (a) 39 (b) 42 (c) 41 (d) 40
  38. 38.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 71 (c) 24 (d) 53
  39. 39.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 36? (a) 108 (b) 44 (c) 36 (d) 80
  40. 40.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 25? (a) 21 (b) 28 (c) 43 (d) 25

Answer key

  1. 25
  2. 53
  3. 49
  4. 107
  5. 37
  6. 11
  7. 75
  8. 25
  9. 46
  10. 50
  11. 71
  12. 68
  13. 53
  14. 12
  15. 26
  16. 38
  17. 91
  18. 15
  19. 56
  20. 66
  21. 67
  22. 57
  23. 80
  24. 30
  25. 31
  26. 29
  27. 108
  28. 8
  29. 68
  30. 35
  31. 63
  32. 52
  33. 68
  34. 21
  35. 6
  36. 77
  37. 40
  38. 71
  39. 108
  40. 43

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