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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 643 · 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 36 to 54? (a) 46 (b) 45 (c) 18 (d) 9
  2. 2.What is the average of 84, 88, 69, 85 and 64? (a) 77 (b) 79 (c) 80 (d) 78
  3. 3.What is the average of 28, 37, 39, 34, 22 and 50? (a) 36 (b) 42 (c) 35 (d) 34
  4. 4.What is the average of 36, 25, 40, 31, 19 and 35? (a) 33 (b) 30 (c) 32 (d) 31
  5. 5.What is the average of all the whole numbers from 7 to 19? (a) 14 (b) 12 (c) 6 (d) 13
  6. 6.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 18 (c) 54 (d) 42
  7. 7.What is the average of 55, 62, 45 and 62? (a) 58 (b) 57 (c) 56 (d) 55
  8. 8.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 25 (b) 42 (c) 47 (d) 62
  9. 9.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 24 (b) 18 (c) 33 (d) 39
  10. 10.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 24 (b) 55 (c) 35 (d) 66
  11. 11.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 28 (b) 16 (c) 10 (d) 34
  12. 12.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 45 (b) 38 (c) 59 (d) 28
  13. 13.What is the average of all the whole numbers from 8 to 14? (a) 3 (b) 11 (c) 6 (d) 12
  14. 14.What is the average of all the whole numbers from 24 to 34? (a) 5 (b) 29 (c) 30 (d) 10
  15. 15.What is the average of all the whole numbers from 52 to 90? (a) 19 (b) 38 (c) 71 (d) 72
  16. 16.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 48 (b) 38 (c) 16 (d) 26
  17. 17.What is the average of 46, 52, 27, 41 and 34? (a) 50 (b) 39 (c) 41 (d) 40
  18. 18.What is the average of 59, 66, 60, 57, 53 and 65? (a) 60 (b) 59 (c) 61 (d) 72
  19. 19.What is the average of all the whole numbers from 18 to 48? (a) 15 (b) 33 (c) 34 (d) 30
  20. 20.What is the average of 37, 54, 58, 28 and 38? (a) 44 (b) 45 (c) 42 (d) 43
  21. 21.A batter has an average of 40 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 12 (b) 52 (c) 44 (d) 42
  22. 22.What is the average of 36, 25, 26, 34 and 49? (a) 36 (b) 33 (c) 34 (d) 35
  23. 23.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 47? (a) 68 (b) 47 (c) 28 (d) 54
  24. 24.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 20 (b) 47 (c) 89 (d) 62
  25. 25.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 10 (b) 30 (c) 16 (d) 24
  26. 26.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 70 (b) 33 (c) 96 (d) 40
  27. 27.What is the average of all the whole numbers from 37 to 59? (a) 49 (b) 48 (c) 22 (d) 11
  28. 28.What is the average of all the whole numbers from 38 to 48? (a) 43 (b) 44 (c) 5 (d) 10
  29. 29.What is the average of all the whole numbers from 18 to 56? (a) 36 (b) 38 (c) 37 (d) 19
  30. 30.What is the average of 52, 67, 57 and 56? (a) 58 (b) 60 (c) 57 (d) 59
  31. 31.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 44 (b) 28 (c) 58 (d) 37
  32. 32.What is the average of all the whole numbers from 56 to 80? (a) 24 (b) 68 (c) 69 (d) 12
  33. 33.What is the average of all the whole numbers from 35 to 55? (a) 46 (b) 45 (c) 20 (d) 10
  34. 34.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 32 (b) 59 (c) 57 (d) 30
  35. 35.What is the average of 55, 75, 67 and 71? (a) 67 (b) 68 (c) 69 (d) 66
  36. 36.A batter has an average of 36 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 50 (b) 46 (c) 86 (d) 41
  37. 37.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 84 (b) 40 (c) 52 (d) 60
  38. 38.What is the average of all the whole numbers from 19 to 25? (a) 3 (b) 6 (c) 23 (d) 22
  39. 39.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 24? (a) 52 (b) 32 (c) 24 (d) 28
  40. 40.What is the average of 80, 70, 61, 80 and 74? (a) 74 (b) 72 (c) 75 (d) 73

Answer key

  1. 45
  2. 78
  3. 35
  4. 31
  5. 13
  6. 54
  7. 56
  8. 62
  9. 39
  10. 55
  11. 34
  12. 59
  13. 11
  14. 29
  15. 71
  16. 38
  17. 40
  18. 60
  19. 33
  20. 43
  21. 52
  22. 34
  23. 68
  24. 62
  25. 30
  26. 96
  27. 48
  28. 43
  29. 37
  30. 58
  31. 58
  32. 68
  33. 45
  34. 57
  35. 67
  36. 86
  37. 84
  38. 22
  39. 52
  40. 73

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