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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 979 · 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 36, 37, 32 and 79? (a) 47 (b) 45 (c) 46 (d) 48
  2. 2.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 51 (b) 45 (c) 47 (d) 8
  3. 3.What is the average of all the whole numbers from 15 to 23? (a) 20 (b) 8 (c) 4 (d) 19
  4. 4.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 25 (b) 26 (c) 35 (d) 72
  5. 5.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 30? (a) 30 (b) 56 (c) 38 (d) 78
  6. 6.What is the average of 21, 18, 11, 21, 29 and 26? (a) 20 (b) 21 (c) 22 (d) 23
  7. 7.What is the average of 50, 37, 44 and 77? (a) 53 (b) 52 (c) 54 (d) 51
  8. 8.What is the average of all the whole numbers from 47 to 61? (a) 7 (b) 14 (c) 54 (d) 55
  9. 9.What is the average of 76, 89, 62 and 81? (a) 78 (b) 79 (c) 77 (d) 76
  10. 10.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 40 (b) 70 (c) 35 (d) 75
  11. 11.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 32? (a) 32 (b) 38 (c) 42 (d) 68
  12. 12.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 54 (b) 13 (c) 25 (d) 14
  13. 13.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 39 (b) 30 (c) 22 (d) 47
  14. 14.What is the average of all the whole numbers from 23 to 47? (a) 36 (b) 35 (c) 12 (d) 24
  15. 15.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 58? (a) 78 (b) 62 (c) 58 (d) 24
  16. 16.What is the average of all the whole numbers from 9 to 25? (a) 17 (b) 18 (c) 8 (d) 16
  17. 17.What is the average of all the whole numbers from 56 to 94? (a) 38 (b) 19 (c) 75 (d) 76
  18. 18.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 16 (b) 44 (c) 56 (d) 84
  19. 19.A batter has an average of 51 runs in 8 matches. How many runs are needed in the next match to raise the average to 53? (a) 55 (b) 18 (c) 53 (d) 69
  20. 20.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 38? (a) 44 (b) 38 (c) 8 (d) 40
  21. 21.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 49 (b) 47 (c) 46 (d) 99
  22. 22.What is the average of 63, 74, 53 and 74? (a) 65 (b) 67 (c) 66 (d) 88
  23. 23.What is the average of 75, 79, 64 and 50? (a) 69 (b) 67 (c) 66 (d) 68
  24. 24.What is the average of 27, 16, 26, 24 and 37? (a) 27 (b) 28 (c) 25 (d) 26
  25. 25.What is the average of all the whole numbers from 14 to 34? (a) 10 (b) 20 (c) 24 (d) 25
  26. 26.A batter has an average of 39 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 47 (c) 36 (d) 75
  27. 27.A batter has an average of 50 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 36 (c) 58 (d) 86
  28. 28.What is the average of all the whole numbers from 38 to 64? (a) 26 (b) 51 (c) 52 (d) 13
  29. 29.What is the average of all the whole numbers from 37 to 65? (a) 52 (b) 14 (c) 51 (d) 28
  30. 30.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 47 (b) 59 (c) 43 (d) 20
  31. 31.What is the average of all the whole numbers from 48 to 82? (a) 66 (b) 17 (c) 65 (d) 34
  32. 32.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 48 (b) 100 (c) 37 (d) 36
  33. 33.What is the average of all the whole numbers from 20 to 34? (a) 27 (b) 7 (c) 14 (d) 28
  34. 34.What is the average of 22, 48, 48 and 30? (a) 36 (b) 37 (c) 39 (d) 38
  35. 35.What is the average of 23, 26, 24, 47 and 65? (a) 38 (b) 39 (c) 37 (d) 36
  36. 36.What is the average of all the whole numbers from 8 to 30? (a) 20 (b) 22 (c) 19 (d) 11
  37. 37.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 109 (c) 60 (d) 63
  38. 38.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 43 (b) 37 (c) 24 (d) 55
  39. 39.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 73 (b) 34 (c) 5 (d) 4
  40. 40.What is the average of all the whole numbers from 14 to 20? (a) 18 (b) 3 (c) 17 (d) 6

Answer key

  1. 46
  2. 51
  3. 19
  4. 25
  5. 78
  6. 21
  7. 52
  8. 54
  9. 77
  10. 70
  11. 68
  12. 13
  13. 47
  14. 35
  15. 78
  16. 17
  17. 75
  18. 56
  19. 69
  20. 44
  21. 46
  22. 66
  23. 67
  24. 26
  25. 24
  26. 75
  27. 86
  28. 51
  29. 51
  30. 59
  31. 65
  32. 36
  33. 27
  34. 37
  35. 37
  36. 19
  37. 109
  38. 55
  39. 4
  40. 17

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