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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 218 · 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.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 25? (a) 40 (b) 25 (c) 30 (d) 20
  2. 2.What is the average of all the whole numbers from 53 to 83? (a) 30 (b) 68 (c) 69 (d) 15
  3. 3.A batter has an average of 36 runs in 7 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 52 (c) 64 (d) 100
  4. 4.What is the average of all the whole numbers from 20 to 32? (a) 12 (b) 6 (c) 26 (d) 27
  5. 5.What is the average of 76, 85, 89 and 50? (a) 100 (b) 76 (c) 74 (d) 75
  6. 6.What is the average of all the whole numbers from 57 to 71? (a) 65 (b) 7 (c) 64 (d) 14
  7. 7.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 24 (b) 44 (c) 32 (d) 52
  8. 8.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 53 (c) 28 (d) 67
  9. 9.What is the average of 51, 48, 68 and 85? (a) 63 (b) 84 (c) 64 (d) 62
  10. 10.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 84 (b) 40 (c) 93 (d) 49
  11. 11.What is the average of all the whole numbers from 36 to 48? (a) 43 (b) 12 (c) 42 (d) 6
  12. 12.What is the average of 39, 31, 39, 41, 31 and 11? (a) 32 (b) 34 (c) 31 (d) 33
  13. 13.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 47 (b) 38 (c) 37 (d) 96
  14. 14.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 54 (c) 48 (d) 86
  15. 15.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 34 (b) 18 (c) 32 (d) 16
  16. 16.What is the average of 49, 46, 40, 54, 40 and 29? (a) 45 (b) 44 (c) 43 (d) 42
  17. 17.What is the average of all the whole numbers from 26 to 66? (a) 46 (b) 47 (c) 20 (d) 40
  18. 18.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 45 (b) 31 (c) 18 (d) 29
  19. 19.What is the average of 22, 18, 35, 17 and 33? (a) 25 (b) 26 (c) 24 (d) 27
  20. 20.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 27 (b) 28 (c) 72 (d) 35
  21. 21.What is the average of 52, 46, 33 and 33? (a) 40 (b) 41 (c) 42 (d) 43
  22. 22.What is the average of 35, 28, 26 and 55? (a) 35 (b) 37 (c) 36 (d) 48
  23. 23.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 20 (c) 59 (d) 49
  24. 24.A batter has an average of 59 runs in 9 matches. How many runs are needed in the next match to raise the average to 63? (a) 40 (b) 63 (c) 67 (d) 99
  25. 25.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 37 (b) 19 (c) 24 (d) 6
  26. 26.What is the average of 73, 79, 92 and 64? (a) 76 (b) 77 (c) 78 (d) 79
  27. 27.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 34 (b) 14 (c) 32 (d) 44
  28. 28.What is the average of 49, 27, 39, 29, 43 and 17? (a) 35 (b) 34 (c) 36 (d) 33
  29. 29.What is the average of 42, 49, 65, 52 and 62? (a) 56 (b) 53 (c) 54 (d) 55
  30. 30.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 13 (b) 56 (c) 27 (d) 14
  31. 31.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 45 (b) 88 (c) 10 (d) 53
  32. 32.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 8 (b) 25 (c) 7 (d) 53
  33. 33.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 24 (b) 75 (c) 36 (d) 25
  34. 34.A batter has an average of 53 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 63 (b) 103 (c) 58 (d) 50
  35. 35.What is the average of all the whole numbers from 23 to 59? (a) 41 (b) 36 (c) 18 (d) 42
  36. 36.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 16 (b) 20 (c) 11 (d) 25
  37. 37.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 26? (a) 30 (b) 36 (c) 26 (d) 58
  38. 38.What is the average of 56, 41, 44, 68, 59 and 56? (a) 53 (b) 56 (c) 54 (d) 55
  39. 39.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 44 (b) 23 (c) 8 (d) 29
  40. 40.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 74 (b) 56 (c) 58 (d) 20

Answer key

  1. 40
  2. 68
  3. 100
  4. 26
  5. 75
  6. 64
  7. 52
  8. 67
  9. 63
  10. 84
  11. 42
  12. 32
  13. 37
  14. 86
  15. 32
  16. 43
  17. 46
  18. 45
  19. 25
  20. 27
  21. 41
  22. 36
  23. 59
  24. 99
  25. 24
  26. 77
  27. 44
  28. 34
  29. 54
  30. 13
  31. 53
  32. 7
  33. 24
  34. 103
  35. 41
  36. 25
  37. 58
  38. 54
  39. 29
  40. 74

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