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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 92 · 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 16 to 24? (a) 21 (b) 8 (c) 20 (d) 4
  2. 2.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 90 (b) 46 (c) 56 (d) 12
  3. 3.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 64 (b) 40 (c) 76 (d) 28
  4. 4.What is the average of 56, 40, 44 and 32? (a) 42 (b) 45 (c) 44 (d) 43
  5. 5.What is the average of 77, 62, 67 and 70? (a) 69 (b) 92 (c) 68 (d) 70
  6. 6.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 64? (a) 64 (b) 16 (c) 68 (d) 76
  7. 7.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 36 (b) 24 (c) 25 (d) 74
  8. 8.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 60 (b) 22 (c) 21 (d) 29
  9. 9.A batter has an average of 41 runs in 9 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 47 (c) 30 (d) 71
  10. 10.What is the average of all the whole numbers from 33 to 61? (a) 48 (b) 28 (c) 14 (d) 47
  11. 11.What is the average of 59, 72, 67, 81 and 56? (a) 68 (b) 69 (c) 67 (d) 66
  12. 12.What is the average of 52, 53, 27, 50, 29 and 17? (a) 38 (b) 39 (c) 37 (d) 40
  13. 13.What is the average of 59, 86, 66 and 81? (a) 74 (b) 72 (c) 75 (d) 73
  14. 14.What is the average of all the whole numbers from 48 to 84? (a) 36 (b) 18 (c) 66 (d) 67
  15. 15.What is the average of all the whole numbers from 49 to 55? (a) 6 (b) 3 (c) 53 (d) 52
  16. 16.What is the average of all the whole numbers from 36 to 52? (a) 16 (b) 8 (c) 44 (d) 45
  17. 17.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 80 (b) 81 (c) 48 (d) 40
  18. 18.What is the average of 45, 42, 55, 55, 68 and 53? (a) 52 (b) 53 (c) 54 (d) 55
  19. 19.A batter has an average of 37 runs in 6 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 79 (c) 49 (d) 42
  20. 20.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 20 (c) 77 (d) 67
  21. 21.What is the average of all the whole numbers from 53 to 83? (a) 69 (b) 68 (c) 15 (d) 30
  22. 22.What is the average of all the whole numbers from 59 to 73? (a) 7 (b) 66 (c) 67 (d) 14
  23. 23.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 48 (c) 95 (d) 63
  24. 24.What is the average of 80, 76, 67, 65, 69 and 63? (a) 84 (b) 71 (c) 69 (d) 70
  25. 25.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 55 (c) 63 (d) 104
  26. 26.What is the average of all the whole numbers from 36 to 72? (a) 54 (b) 18 (c) 36 (d) 55
  27. 27.What is the average of 53, 60, 35 and 36? (a) 45 (b) 47 (c) 48 (d) 46
  28. 28.A batter has an average of 59 runs in 4 matches. How many runs are needed in the next match to raise the average to 66? (a) 94 (b) 66 (c) 73 (d) 35
  29. 29.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 10 (b) 22 (c) 14 (d) 18
  30. 30.What is the average of 28, 20, 19 and 65? (a) 32 (b) 44 (c) 34 (d) 33
  31. 31.What is the average of 37, 24, 41, 45, 26 and 19? (a) 31 (b) 33 (c) 34 (d) 32
  32. 32.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 89 (b) 45 (c) 4 (d) 48
  33. 33.A batter has an average of 42 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 24 (c) 66 (d) 48
  34. 34.What is the average of 27, 18, 16, 22, 16 and 81? (a) 29 (b) 30 (c) 36 (d) 31
  35. 35.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 55 (b) 29 (c) 44 (d) 18
  36. 36.What is the average of 83, 87, 72 and 58? (a) 76 (b) 100 (c) 75 (d) 74
  37. 37.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 88 (b) 31 (c) 42 (d) 30
  38. 38.A batter has an average of 33 runs in 9 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 103 (c) 47 (d) 70
  39. 39.What is the average of all the whole numbers from 21 to 47? (a) 26 (b) 35 (c) 13 (d) 34
  40. 40.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 29 (b) 34 (c) 28 (d) 70

Answer key

  1. 20
  2. 56
  3. 64
  4. 43
  5. 69
  6. 76
  7. 24
  8. 21
  9. 71
  10. 47
  11. 67
  12. 38
  13. 73
  14. 66
  15. 52
  16. 44
  17. 80
  18. 53
  19. 79
  20. 77
  21. 68
  22. 66
  23. 95
  24. 70
  25. 104
  26. 54
  27. 46
  28. 94
  29. 22
  30. 33
  31. 32
  32. 48
  33. 66
  34. 30
  35. 44
  36. 75
  37. 30
  38. 103
  39. 34
  40. 28

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