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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 301 · 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 27, 29, 33, 25, 28 and 2? (a) 25 (b) 24 (c) 26 (d) 23
  2. 2.What is the average of 74, 72, 55 and 59? (a) 64 (b) 66 (c) 65 (d) 67
  3. 3.What is the average of 55, 49, 52 and 16? (a) 42 (b) 44 (c) 45 (d) 43
  4. 4.What is the average of all the whole numbers from 59 to 69? (a) 65 (b) 10 (c) 5 (d) 64
  5. 5.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 58 (b) 28 (c) 19 (d) 18
  6. 6.What is the average of 51, 33, 25 and 43? (a) 40 (b) 38 (c) 37 (d) 39
  7. 7.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 34 (b) 69 (c) 28 (d) 29
  8. 8.What is the average of 27, 42, 31, 44, 22 and 8? (a) 28 (b) 30 (c) 29 (d) 31
  9. 9.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 12 (c) 41 (d) 35
  10. 10.What is the average of 20, 27, 31, 26, 40 and 24? (a) 27 (b) 29 (c) 30 (d) 28
  11. 11.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 63? (a) 72 (b) 66 (c) 63 (d) 12
  12. 12.What is the average of 54, 53, 52, 37 and 34? (a) 48 (b) 47 (c) 46 (d) 45
  13. 13.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 43 (b) 35 (c) 75 (d) 48
  14. 14.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 83 (b) 20 (c) 59 (d) 44
  15. 15.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 24 (b) 22 (c) 14 (d) 12
  16. 16.What is the average of 67, 64, 61 and 108? (a) 74 (b) 100 (c) 76 (d) 75
  17. 17.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 52? (a) 56 (b) 32 (c) 52 (d) 80
  18. 18.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 53? (a) 53 (b) 68 (c) 56 (d) 18
  19. 19.What is the average of all the whole numbers from 33 to 67? (a) 50 (b) 17 (c) 51 (d) 34
  20. 20.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 72 (c) 56 (d) 112
  21. 21.What is the average of all the whole numbers from 56 to 94? (a) 38 (b) 76 (c) 75 (d) 19
  22. 22.What is the average of 29, 52, 57 and 30? (a) 41 (b) 43 (c) 56 (d) 42
  23. 23.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) 36 (b) 47 (c) 43 (d) 75
  24. 24.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 35 (b) 12 (c) 28 (d) 19
  25. 25.What is the average of 77, 82, 90 and 55? (a) 76 (b) 77 (c) 78 (d) 75
  26. 26.What is the average of all the whole numbers from 58 to 78? (a) 68 (b) 69 (c) 10 (d) 20
  27. 27.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 36 (b) 31 (c) 46 (d) 20
  28. 28.What is the average of 31, 30, 30 and 65? (a) 52 (b) 39 (c) 40 (d) 38
  29. 29.What is the average of 17, 22, 19, 41 and 51? (a) 31 (b) 30 (c) 29 (d) 32
  30. 30.What is the average of all the whole numbers from 21 to 37? (a) 16 (b) 30 (c) 8 (d) 29
  31. 31.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 57 (c) 24 (d) 75
  32. 32.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 49? (a) 30 (b) 49 (c) 73 (d) 55
  33. 33.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 5 (b) 41 (c) 81 (d) 45
  34. 34.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 24 (b) 19 (c) 35 (d) 40
  35. 35.What is the average of all the whole numbers from 18 to 54? (a) 36 (b) 18 (c) 37 (d) 35
  36. 36.What is the average of 52, 80, 58, 65, 76 and 59? (a) 66 (b) 64 (c) 78 (d) 65
  37. 37.What is the average of all the whole numbers from 49 to 87? (a) 69 (b) 38 (c) 19 (d) 68
  38. 38.What is the average of all the whole numbers from 54 to 60? (a) 6 (b) 3 (c) 58 (d) 57
  39. 39.What is the average of 21, 5, 27, 11 and 36? (a) 19 (b) 21 (c) 20 (d) 25
  40. 40.What is the average of all the whole numbers from 55 to 67? (a) 62 (b) 12 (c) 61 (d) 6

Answer key

  1. 24
  2. 65
  3. 43
  4. 64
  5. 18
  6. 38
  7. 28
  8. 29
  9. 41
  10. 28
  11. 72
  12. 46
  13. 75
  14. 59
  15. 24
  16. 75
  17. 80
  18. 68
  19. 50
  20. 112
  21. 75
  22. 42
  23. 75
  24. 28
  25. 76
  26. 68
  27. 46
  28. 39
  29. 30
  30. 29
  31. 75
  32. 73
  33. 45
  34. 40
  35. 36
  36. 65
  37. 68
  38. 57
  39. 20
  40. 61

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