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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 605 · 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 46 to 58? (a) 12 (b) 52 (c) 53 (d) 6
  2. 2.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 60 (b) 52 (c) 124 (d) 80
  3. 3.What is the average of all the whole numbers from 45 to 51? (a) 6 (b) 49 (c) 3 (d) 48
  4. 4.What is the average of all the whole numbers from 52 to 70? (a) 9 (b) 62 (c) 18 (d) 61
  5. 5.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 92 (b) 12 (c) 47 (d) 57
  6. 6.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 64 (c) 54 (d) 106
  7. 7.What is the average of 60, 34, 40, 43 and 53? (a) 48 (b) 47 (c) 46 (d) 45
  8. 8.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 72 (b) 24 (c) 23 (d) 35
  9. 9.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 5 (b) 14 (c) 10 (d) 19
  10. 10.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 27? (a) 39 (b) 27 (c) 29 (d) 14
  11. 11.A batter has an average of 35 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 27 (b) 62 (c) 41 (d) 38
  12. 12.What is the average of all the whole numbers from 9 to 19? (a) 10 (b) 14 (c) 5 (d) 15
  13. 13.What is the average of all the whole numbers from 56 to 70? (a) 14 (b) 7 (c) 63 (d) 64
  14. 14.What is the average of 13, 39, 16 and 32? (a) 25 (b) 27 (c) 26 (d) 24
  15. 15.What is the average of all the whole numbers from 5 to 33? (a) 28 (b) 14 (c) 19 (d) 20
  16. 16.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 41 (b) 56 (c) 34 (d) 83
  17. 17.A batter has an average of 33 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 24 (b) 37 (c) 57 (d) 41
  18. 18.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 14 (b) 18 (c) 29 (d) 25
  19. 19.What is the average of all the whole numbers from 41 to 55? (a) 7 (b) 48 (c) 49 (d) 14
  20. 20.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 5 (b) 38 (c) 34 (d) 67
  21. 21.What is the average of all the whole numbers from 34 to 60? (a) 26 (b) 48 (c) 13 (d) 47
  22. 22.What is the average of all the whole numbers from 40 to 58? (a) 9 (b) 18 (c) 49 (d) 50
  23. 23.What is the average of 44, 22, 17 and 37? (a) 31 (b) 30 (c) 40 (d) 29
  24. 24.What is the average of all the whole numbers from 58 to 70? (a) 65 (b) 6 (c) 64 (d) 12
  25. 25.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 21 (b) 12 (c) 39 (d) 30
  26. 26.A batter has an average of 25 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 29 (b) 41 (c) 16 (d) 27
  27. 27.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 71 (b) 47 (c) 90 (d) 28
  28. 28.What is the average of 63, 56, 58, 42 and 51? (a) 54 (b) 53 (c) 55 (d) 56
  29. 29.What is the average of all the whole numbers from 23 to 61? (a) 42 (b) 38 (c) 43 (d) 19
  30. 30.What is the average of all the whole numbers from 37 to 53? (a) 16 (b) 45 (c) 8 (d) 46
  31. 31.What is the average of 45, 41, 49, 68, 60 and 73? (a) 56 (b) 58 (c) 55 (d) 57
  32. 32.What is the average of 77, 68, 90, 79 and 86? (a) 100 (b) 81 (c) 80 (d) 79
  33. 33.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 28 (c) 69 (d) 83
  34. 34.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 42? (a) 48 (b) 44 (c) 8 (d) 42
  35. 35.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 16 (b) 11 (c) 33 (d) 10
  36. 36.A batter has an average of 51 runs in 5 matches. How many runs are needed in the next match to raise the average to 54? (a) 69 (b) 54 (c) 18 (d) 57
  37. 37.What is the average of 52, 80, 76, 67 and 50? (a) 65 (b) 66 (c) 64 (d) 67
  38. 38.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 45 (b) 5 (c) 27 (d) 23
  39. 39.What is the average of 27, 48, 36, 37, 51 and 35? (a) 41 (b) 38 (c) 40 (d) 39
  40. 40.What is the average of 69, 65, 73, 60, 59 and 76? (a) 67 (b) 68 (c) 69 (d) 66

Answer key

  1. 52
  2. 124
  3. 48
  4. 61
  5. 57
  6. 106
  7. 46
  8. 23
  9. 14
  10. 39
  11. 62
  12. 14
  13. 63
  14. 25
  15. 19
  16. 83
  17. 57
  18. 29
  19. 48
  20. 38
  21. 47
  22. 49
  23. 30
  24. 64
  25. 30
  26. 41
  27. 71
  28. 54
  29. 42
  30. 45
  31. 56
  32. 80
  33. 83
  34. 48
  35. 10
  36. 69
  37. 65
  38. 27
  39. 39
  40. 67

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