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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 20 · 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 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 35 (b) 58 (c) 65 (d) 86
  2. 2.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 32 (b) 46 (c) 30 (d) 18
  3. 3.What is the average of 69, 78, 57, 75 and 61? (a) 85 (b) 67 (c) 69 (d) 68
  4. 4.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 1 (b) 19 (c) 2 (d) 41
  5. 5.What is the average of 59, 70, 76, 65 and 50? (a) 65 (b) 80 (c) 63 (d) 64
  6. 6.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 28? (a) 30 (b) 42 (c) 16 (d) 28
  7. 7.What is the average of all the whole numbers from 30 to 62? (a) 32 (b) 47 (c) 46 (d) 16
  8. 8.What is the average of all the whole numbers from 36 to 50? (a) 14 (b) 43 (c) 7 (d) 44
  9. 9.What is the average of all the whole numbers from 17 to 57? (a) 38 (b) 20 (c) 37 (d) 40
  10. 10.What is the average of 23, 21, 28 and 60? (a) 44 (b) 33 (c) 34 (d) 32
  11. 11.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 41 (b) 42 (c) 69 (d) 34
  12. 12.What is the average of 29, 21, 14 and 28? (a) 25 (b) 23 (c) 24 (d) 22
  13. 13.What is the average of 48, 57, 40, 42 and 68? (a) 52 (b) 50 (c) 53 (d) 51
  14. 14.What is the average of 79, 64, 85, 77 and 55? (a) 72 (b) 71 (c) 73 (d) 90
  15. 15.What is the average of all the whole numbers from 20 to 26? (a) 24 (b) 3 (c) 23 (d) 6
  16. 16.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 60? (a) 66 (b) 115 (c) 114 (d) 60
  17. 17.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 34 (b) 23 (c) 22 (d) 71
  18. 18.What is the average of 79, 57, 78 and 66? (a) 69 (b) 71 (c) 70 (d) 72
  19. 19.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 70 (b) 22 (c) 23 (d) 34
  20. 20.What is the average of 55, 55, 43, 53 and 4? (a) 41 (b) 44 (c) 43 (d) 42
  21. 21.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 24 (b) 21 (c) 20 (d) 49
  22. 22.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 35 (b) 42 (c) 65 (d) 29
  23. 23.What is the average of 67, 70, 64, 56 and 63? (a) 80 (b) 64 (c) 63 (d) 65
  24. 24.What is the average of all the whole numbers from 20 to 28? (a) 25 (b) 4 (c) 8 (d) 24
  25. 25.What is the average of all the whole numbers from 20 to 56? (a) 36 (b) 39 (c) 38 (d) 18
  26. 26.A batter has an average of 44 runs in 5 matches. How many runs are needed in the next match to raise the average to 46? (a) 12 (b) 56 (c) 46 (d) 48
  27. 27.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 11 (b) 23 (c) 20 (d) 14
  28. 28.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 42 (b) 79 (c) 25 (d) 62
  29. 29.What is the average of 10, 24, 17 and 33? (a) 20 (b) 22 (c) 21 (d) 28
  30. 30.What is the average of all the whole numbers from 17 to 49? (a) 16 (b) 33 (c) 34 (d) 32
  31. 31.What is the average of all the whole numbers from 32 to 66? (a) 34 (b) 50 (c) 49 (d) 17
  32. 32.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 58? (a) 65 (b) 42 (c) 93 (d) 58
  33. 33.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 16 (b) 5 (c) 35 (d) 4
  34. 34.What is the average of 54, 40, 32, 38, 53 and 17? (a) 41 (b) 40 (c) 38 (d) 39
  35. 35.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 30? (a) 30 (b) 54 (c) 27 (d) 33
  36. 36.What is the average of all the whole numbers from 35 to 47? (a) 6 (b) 42 (c) 41 (d) 12
  37. 37.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 64 (b) 57 (c) 42 (d) 92
  38. 38.What is the average of 36, 48, 38 and 78? (a) 50 (b) 51 (c) 49 (d) 52
  39. 39.What is the average of all the whole numbers from 31 to 47? (a) 40 (b) 8 (c) 16 (d) 39
  40. 40.What is the average of 72, 60, 72, 61, 87 and 80? (a) 72 (b) 71 (c) 74 (d) 73

Answer key

  1. 86
  2. 46
  3. 68
  4. 1
  5. 64
  6. 42
  7. 46
  8. 43
  9. 37
  10. 33
  11. 69
  12. 23
  13. 51
  14. 72
  15. 23
  16. 114
  17. 22
  18. 70
  19. 22
  20. 42
  21. 20
  22. 65
  23. 64
  24. 24
  25. 38
  26. 56
  27. 23
  28. 62
  29. 21
  30. 33
  31. 49
  32. 93
  33. 4
  34. 39
  35. 54
  36. 41
  37. 92
  38. 50
  39. 39
  40. 72

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