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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 651 · 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 20 to 32? (a) 6 (b) 12 (c) 26 (d) 27
  2. 2.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 36 (b) 29 (c) 78 (d) 56
  3. 3.What is the average of 29, 26, 35 and 26? (a) 28 (b) 31 (c) 30 (d) 29
  4. 4.A batter has an average of 33 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 41 (b) 20 (c) 53 (d) 37
  5. 5.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 30? (a) 30 (b) 37 (c) 86 (d) 63
  6. 6.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 12 (b) 45 (c) 13 (d) 21
  7. 7.What is the average of 38, 37, 51 and 26? (a) 37 (b) 38 (c) 40 (d) 39
  8. 8.What is the average of 59, 54, 52 and 15? (a) 60 (b) 45 (c) 46 (d) 44
  9. 9.What is the average of all the whole numbers from 54 to 68? (a) 14 (b) 7 (c) 62 (d) 61
  10. 10.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 54 (b) 29 (c) 45 (d) 20
  11. 11.What is the average of 56, 68, 61, 77 and 63? (a) 64 (b) 66 (c) 67 (d) 65
  12. 12.What is the average of all the whole numbers from 35 to 71? (a) 18 (b) 36 (c) 53 (d) 54
  13. 13.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 13 (b) 9 (c) 27 (d) 10
  14. 14.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 57? (a) 61 (b) 57 (c) 85 (d) 32
  15. 15.What is the average of all the whole numbers from 48 to 56? (a) 4 (b) 52 (c) 8 (d) 53
  16. 16.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 7 (b) 34 (c) 55 (d) 28
  17. 17.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 38 (b) 44 (c) 35 (d) 12
  18. 18.What is the average of 94, 89, 68, 69, 71 and 89? (a) 96 (b) 79 (c) 80 (d) 81
  19. 19.What is the average of all the whole numbers from 5 to 37? (a) 16 (b) 32 (c) 22 (d) 21
  20. 20.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 61 (c) 36 (d) 37
  21. 21.A batter has an average of 38 runs in 9 matches. How many runs are needed in the next match to raise the average to 45? (a) 52 (b) 70 (c) 45 (d) 108
  22. 22.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 27 (c) 18 (d) 39
  23. 23.What is the average of 67, 41, 53 and 63? (a) 57 (b) 55 (c) 58 (d) 56
  24. 24.What is the average of 43, 71, 63 and 55? (a) 58 (b) 60 (c) 57 (d) 59
  25. 25.What is the average of 80, 81, 79, 95, 75 and 70? (a) 79 (b) 96 (c) 81 (d) 80
  26. 26.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 66 (b) 35 (c) 59 (d) 28
  27. 27.What is the average of 77, 80, 75, 76, 79 and 27? (a) 71 (b) 70 (c) 68 (d) 69
  28. 28.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 45 (b) 51 (c) 8 (d) 88
  29. 29.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 18 (b) 37 (c) 35 (d) 20
  30. 30.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 16 (b) 17 (c) 32 (d) 68
  31. 31.What is the average of 32, 13, 25, 17 and 48? (a) 26 (b) 27 (c) 28 (d) 29
  32. 32.A batter has an average of 45 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 53 (b) 40 (c) 49 (d) 85
  33. 33.What is the average of all the whole numbers from 55 to 83? (a) 28 (b) 14 (c) 70 (d) 69
  34. 34.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 50 (b) 8 (c) 54 (d) 48
  35. 35.What is the average of all the whole numbers from 9 to 19? (a) 14 (b) 5 (c) 10 (d) 15
  36. 36.What is the average of 78, 70, 67, 82, 74 and 109? (a) 81 (b) 79 (c) 96 (d) 80
  37. 37.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 63 (b) 54 (c) 25 (d) 34
  38. 38.What is the average of 23, 29, 40, 30, 30 and 34? (a) 31 (b) 30 (c) 32 (d) 33
  39. 39.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 77 (c) 63 (d) 28
  40. 40.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 7 (b) 24 (c) 51 (d) 6

Answer key

  1. 26
  2. 78
  3. 29
  4. 53
  5. 86
  6. 12
  7. 38
  8. 45
  9. 61
  10. 45
  11. 65
  12. 53
  13. 9
  14. 85
  15. 52
  16. 34
  17. 44
  18. 80
  19. 21
  20. 61
  21. 108
  22. 39
  23. 56
  24. 58
  25. 80
  26. 59
  27. 69
  28. 51
  29. 35
  30. 16
  31. 27
  32. 85
  33. 69
  34. 54
  35. 14
  36. 80
  37. 54
  38. 31
  39. 77
  40. 6

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