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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 151 · 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 66, 74, 64, 71, 75 and 82? (a) 71 (b) 73 (c) 72 (d) 74
  2. 2.What is the average of all the whole numbers from 20 to 38? (a) 30 (b) 9 (c) 18 (d) 29
  3. 3.What is the average of all the whole numbers from 46 to 74? (a) 61 (b) 28 (c) 14 (d) 60
  4. 4.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 17 (b) 4 (c) 36 (d) 3
  5. 5.What is the average of all the whole numbers from 49 to 89? (a) 70 (b) 20 (c) 69 (d) 40
  6. 6.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 52? (a) 61 (b) 52 (c) 55 (d) 12
  7. 7.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 62? (a) 83 (b) 62 (c) 65 (d) 24
  8. 8.What is the average of 11, 8, 14 and 47? (a) 19 (b) 20 (c) 21 (d) 22
  9. 9.A batter has an average of 60 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 64 (b) 12 (c) 72 (d) 62
  10. 10.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 58 (c) 30 (d) 38
  11. 11.What is the average of all the whole numbers from 56 to 74? (a) 18 (b) 9 (c) 66 (d) 65
  12. 12.What is the average of 24, 21, 22, 29, 33 and 63? (a) 33 (b) 31 (c) 32 (d) 34
  13. 13.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 48 (b) 27 (c) 30 (d) 24
  14. 14.What is the average of all the whole numbers from 23 to 31? (a) 8 (b) 27 (c) 4 (d) 28
  15. 15.What is the average of all the whole numbers from 40 to 80? (a) 61 (b) 40 (c) 60 (d) 20
  16. 16.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 43 (b) 38 (c) 75 (d) 6
  17. 17.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 72 (b) 16 (c) 58 (d) 60
  18. 18.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 34 (b) 20 (c) 35 (d) 19
  19. 19.What is the average of 51, 61, 53 and 71? (a) 58 (b) 60 (c) 59 (d) 61
  20. 20.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 41 (b) 37 (c) 73 (d) 5
  21. 21.What is the average of 59, 80, 57 and 88? (a) 73 (b) 71 (c) 72 (d) 70
  22. 22.What is the average of all the whole numbers from 5 to 23? (a) 15 (b) 18 (c) 9 (d) 14
  23. 23.What is the average of 67, 54, 48, 58, 40 and 57? (a) 55 (b) 53 (c) 56 (d) 54
  24. 24.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 28 (b) 29 (c) 91 (d) 43
  25. 25.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 8 (b) 38 (c) 75 (d) 45
  26. 26.What is the average of all the whole numbers from 11 to 17? (a) 15 (b) 3 (c) 14 (d) 6
  27. 27.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 6 (b) 7 (c) 39 (d) 18
  28. 28.What is the average of all the whole numbers from 26 to 58? (a) 16 (b) 43 (c) 32 (d) 42
  29. 29.What is the average of all the whole numbers from 54 to 76? (a) 66 (b) 11 (c) 22 (d) 65
  30. 30.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 36 (b) 37 (c) 67 (d) 43
  31. 31.What is the average of 32, 35, 23 and 50? (a) 34 (b) 35 (c) 36 (d) 37
  32. 32.What is the average of 84, 64, 80 and 84? (a) 104 (b) 77 (c) 78 (d) 79
  33. 33.What is the average of 44, 37, 41, 37 and 71? (a) 48 (b) 46 (c) 47 (d) 45
  34. 34.What is the average of 49, 51, 28, 41, 41 and 6? (a) 37 (b) 36 (c) 35 (d) 38
  35. 35.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 36 (c) 66 (d) 40
  36. 36.What is the average of 50, 51, 57, 71 and 56? (a) 56 (b) 59 (c) 58 (d) 57
  37. 37.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 31 (b) 46 (c) 26 (d) 25
  38. 38.What is the average of 33, 10, 8 and 41? (a) 22 (b) 25 (c) 23 (d) 24
  39. 39.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 80 (b) 38 (c) 56 (d) 31
  40. 40.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 10 (b) 42 (c) 48 (d) 40

Answer key

  1. 72
  2. 29
  3. 60
  4. 3
  5. 69
  6. 61
  7. 83
  8. 20
  9. 72
  10. 58
  11. 65
  12. 32
  13. 48
  14. 27
  15. 60
  16. 43
  17. 72
  18. 35
  19. 59
  20. 41
  21. 71
  22. 14
  23. 54
  24. 28
  25. 45
  26. 14
  27. 6
  28. 42
  29. 65
  30. 67
  31. 35
  32. 78
  33. 46
  34. 36
  35. 66
  36. 57
  37. 46
  38. 23
  39. 80
  40. 48

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