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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 164 · 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 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 41 (b) 37 (c) 49 (d) 16
  2. 2.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 101 (b) 14 (c) 13 (d) 48
  3. 3.What is the average of all the whole numbers from 27 to 43? (a) 16 (b) 35 (c) 8 (d) 36
  4. 4.What is the average of 73, 71, 50, 53 and 68? (a) 65 (b) 64 (c) 63 (d) 62
  5. 5.What is the average of 50, 50, 32, 28 and 45? (a) 41 (b) 43 (c) 42 (d) 40
  6. 6.What is the average of 75, 76, 73, 54 and 52? (a) 68 (b) 67 (c) 65 (d) 66
  7. 7.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 28 (b) 58 (c) 22 (d) 23
  8. 8.What is the average of all the whole numbers from 21 to 27? (a) 3 (b) 25 (c) 6 (d) 24
  9. 9.What is the average of all the whole numbers from 56 to 70? (a) 64 (b) 14 (c) 7 (d) 63
  10. 10.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 19 (b) 39 (c) 14 (d) 13
  11. 11.A batter has an average of 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 54 (c) 86 (d) 44
  12. 12.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 62? (a) 62 (b) 48 (c) 68 (d) 104
  13. 13.What is the average of 14, 30, 8, 6, 10 and 52? (a) 21 (b) 20 (c) 19 (d) 24
  14. 14.What is the average of all the whole numbers from 55 to 83? (a) 14 (b) 28 (c) 70 (d) 69
  15. 15.What is the average of 59, 44, 51, 58, 34 and 18? (a) 44 (b) 45 (c) 46 (d) 43
  16. 16.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 88 (c) 40 (d) 64
  17. 17.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 24 (b) 48 (c) 44 (d) 28
  18. 18.What is the average of all the whole numbers from 41 to 47? (a) 3 (b) 6 (c) 44 (d) 45
  19. 19.What is the average of all the whole numbers from 15 to 41? (a) 29 (b) 28 (c) 13 (d) 26
  20. 20.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 15 (c) 54 (d) 63
  21. 21.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 10 (b) 19 (c) 17 (d) 12
  22. 22.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 71 (b) 40 (c) 39 (d) 47
  23. 23.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 31 (b) 69 (c) 32 (d) 34
  24. 24.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 31 (b) 37 (c) 32 (d) 76
  25. 25.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 49 (b) 44 (c) 43 (d) 100
  26. 26.What is the average of 73, 69, 66 and 24? (a) 58 (b) 59 (c) 57 (d) 60
  27. 27.What is the average of 64, 57, 72, 63, 68 and 30? (a) 61 (b) 58 (c) 60 (d) 59
  28. 28.What is the average of all the whole numbers from 46 to 72? (a) 26 (b) 13 (c) 59 (d) 60
  29. 29.What is the average of all the whole numbers from 13 to 33? (a) 20 (b) 23 (c) 10 (d) 24
  30. 30.What is the average of 59, 47, 40, 41, 36 and 47? (a) 44 (b) 46 (c) 54 (d) 45
  31. 31.A batter has an average of 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 64 (b) 50 (c) 16 (d) 52
  32. 32.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 63 (b) 35 (c) 4 (d) 32
  33. 33.What is the average of all the whole numbers from 8 to 38? (a) 30 (b) 15 (c) 24 (d) 23
  34. 34.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 24 (b) 52 (c) 28 (d) 48
  35. 35.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 63 (b) 93 (c) 40 (d) 58
  36. 36.A batter has an average of 43 runs in 9 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 80 (c) 59 (d) 123
  37. 37.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 47 (b) 20 (c) 19 (d) 98
  38. 38.What is the average of 37, 36, 37 and 94? (a) 68 (b) 52 (c) 51 (d) 50
  39. 39.What is the average of 60, 36, 48, 45 and 56? (a) 48 (b) 50 (c) 51 (d) 49
  40. 40.What is the average of all the whole numbers from 44 to 56? (a) 6 (b) 12 (c) 50 (d) 51

Answer key

  1. 49
  2. 13
  3. 35
  4. 63
  5. 41
  6. 66
  7. 22
  8. 24
  9. 63
  10. 13
  11. 86
  12. 104
  13. 20
  14. 69
  15. 44
  16. 88
  17. 48
  18. 44
  19. 28
  20. 63
  21. 19
  22. 71
  23. 31
  24. 31
  25. 43
  26. 58
  27. 59
  28. 59
  29. 23
  30. 45
  31. 64
  32. 35
  33. 23
  34. 48
  35. 93
  36. 123
  37. 19
  38. 51
  39. 49
  40. 50

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