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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 431 · 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 43? (a) 28 (b) 29 (c) 14 (d) 30
  2. 2.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 78 (b) 8 (c) 40 (d) 46
  3. 3.What is the average of all the whole numbers from 52 to 74? (a) 64 (b) 63 (c) 11 (d) 22
  4. 4.What is the average of 40, 21, 29 and 50? (a) 36 (b) 35 (c) 37 (d) 34
  5. 5.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 24? (a) 18 (b) 26 (c) 40 (d) 24
  6. 6.A batter has an average of 56 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 36 (b) 62 (c) 92 (d) 68
  7. 7.What is the average of 72, 57, 70, 63 and 78? (a) 85 (b) 68 (c) 69 (d) 67
  8. 8.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 53 (b) 43 (c) 18 (d) 28
  9. 9.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 35 (b) 44 (c) 34 (d) 90
  10. 10.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) 9 (b) 76 (c) 36 (d) 8
  11. 11.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 62 (b) 45 (c) 16 (d) 33
  12. 12.What is the average of all the whole numbers from 6 to 36? (a) 30 (b) 15 (c) 21 (d) 22
  13. 13.What is the average of all the whole numbers from 27 to 57? (a) 43 (b) 42 (c) 15 (d) 30
  14. 14.A batter has an average of 59 runs in 8 matches. How many runs are needed in the next match to raise the average to 65? (a) 54 (b) 71 (c) 65 (d) 113
  15. 15.What is the average of all the whole numbers from 46 to 56? (a) 52 (b) 5 (c) 51 (d) 10
  16. 16.What is the average of 70, 48, 69, 74, 52 and 59? (a) 64 (b) 61 (c) 63 (d) 62
  17. 17.What is the average of all the whole numbers from 15 to 31? (a) 8 (b) 24 (c) 23 (d) 16
  18. 18.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 32 (b) 58 (c) 50 (d) 74
  19. 19.What is the average of all the whole numbers from 27 to 37? (a) 32 (b) 5 (c) 33 (d) 10
  20. 20.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 94 (b) 45 (c) 17 (d) 18
  21. 21.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 34? (a) 46 (b) 37 (c) 34 (d) 15
  22. 22.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 28 (b) 27 (c) 45 (d) 93
  23. 23.What is the average of 41, 54, 40, 32, 30 and 49? (a) 43 (b) 42 (c) 41 (d) 40
  24. 24.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 20 (b) 45 (c) 50 (d) 60
  25. 25.A batter has an average of 59 runs in 7 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 32 (c) 67 (d) 91
  26. 26.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) 123 (c) 80 (d) 59
  27. 27.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 52 (c) 48 (d) 8
  28. 28.A batter has an average of 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 55 (b) 30 (c) 50 (d) 75
  29. 29.What is the average of 52, 27, 50, 35 and 46? (a) 42 (b) 43 (c) 44 (d) 41
  30. 30.What is the average of all the whole numbers from 17 to 29? (a) 23 (b) 24 (c) 6 (d) 12
  31. 31.What is the average of all the whole numbers from 52 to 90? (a) 71 (b) 38 (c) 72 (d) 19
  32. 32.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 15 (b) 50 (c) 38 (d) 73
  33. 33.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 54? (a) 96 (b) 60 (c) 54 (d) 48
  34. 34.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 33? (a) 37 (b) 65 (c) 36 (d) 33
  35. 35.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) 28 (c) 29 (d) 69
  36. 36.What is the average of all the whole numbers from 31 to 67? (a) 18 (b) 36 (c) 50 (d) 49
  37. 37.What is the average of all the whole numbers from 53 to 63? (a) 10 (b) 5 (c) 59 (d) 58
  38. 38.What is the average of all the whole numbers from 32 to 72? (a) 20 (b) 53 (c) 52 (d) 40
  39. 39.What is the average of 47, 42, 67 and 56? (a) 52 (b) 55 (c) 53 (d) 54
  40. 40.What is the average of all the whole numbers from 5 to 35? (a) 15 (b) 20 (c) 21 (d) 30

Answer key

  1. 29
  2. 46
  3. 63
  4. 35
  5. 40
  6. 92
  7. 68
  8. 43
  9. 34
  10. 8
  11. 45
  12. 21
  13. 42
  14. 113
  15. 51
  16. 62
  17. 23
  18. 74
  19. 32
  20. 17
  21. 46
  22. 27
  23. 41
  24. 60
  25. 91
  26. 123
  27. 52
  28. 75
  29. 42
  30. 23
  31. 71
  32. 50
  33. 96
  34. 65
  35. 28
  36. 49
  37. 58
  38. 52
  39. 53
  40. 20

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