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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 500 · 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 56? (a) 76 (b) 56 (c) 61 (d) 25
  2. 2.What is the average of all the whole numbers from 35 to 45? (a) 40 (b) 5 (c) 41 (d) 10
  3. 3.A batter has an average of 56 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 106 (c) 50 (d) 66
  4. 4.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 39 (b) 25 (c) 73 (d) 59
  5. 5.What is the average of 19, 6, 19, 18, 24 and 40? (a) 23 (b) 22 (c) 20 (d) 21
  6. 6.What is the average of all the whole numbers from 60 to 68? (a) 4 (b) 65 (c) 64 (d) 8
  7. 7.What is the average of 78, 76, 63 and 51? (a) 67 (b) 68 (c) 69 (d) 66
  8. 8.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 79 (b) 51 (c) 42 (d) 44
  9. 9.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 57? (a) 59 (b) 75 (c) 20 (d) 57
  10. 10.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 16 (b) 29 (c) 54 (d) 41
  11. 11.What is the average of 56, 30, 56, 55 and 18? (a) 43 (b) 42 (c) 45 (d) 44
  12. 12.What is the average of all the whole numbers from 31 to 47? (a) 40 (b) 16 (c) 39 (d) 8
  13. 13.What is the average of all the whole numbers from 46 to 52? (a) 3 (b) 6 (c) 50 (d) 49
  14. 14.What is the average of 69, 67, 72 and 24? (a) 60 (b) 57 (c) 58 (d) 59
  15. 15.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 53 (b) 10 (c) 51 (d) 59
  16. 16.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 39 (b) 75 (c) 33 (d) 48
  17. 17.What is the average of 40, 52, 43, 45 and 70? (a) 51 (b) 50 (c) 49 (d) 52
  18. 18.What is the average of 40, 33, 11, 23 and 18? (a) 26 (b) 24 (c) 27 (d) 25
  19. 19.A batter has an average of 48 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 103 (c) 60 (d) 102
  20. 20.What is the average of 54, 39, 58, 68, 50 and 49? (a) 53 (b) 54 (c) 55 (d) 52
  21. 21.What is the average of 56, 41, 60, 56, 51 and 6? (a) 45 (b) 46 (c) 44 (d) 54
  22. 22.A batter has an average of 51 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 72 (b) 54 (c) 21 (d) 57
  23. 23.What is the average of 32, 35, 22, 26, 14 and 15? (a) 26 (b) 25 (c) 23 (d) 24
  24. 24.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 25 (b) 29 (c) 53 (d) 49
  25. 25.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 24 (c) 34 (d) 46
  26. 26.A batter has an average of 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 20 (b) 60 (c) 64 (d) 76
  27. 27.What is the average of 33, 35, 31 and 5? (a) 28 (b) 26 (c) 25 (d) 27
  28. 28.What is the average of all the whole numbers from 24 to 32? (a) 8 (b) 28 (c) 29 (d) 4
  29. 29.What is the average of 40, 36, 41 and 79? (a) 51 (b) 48 (c) 50 (d) 49
  30. 30.What is the average of all the whole numbers from 55 to 75? (a) 20 (b) 65 (c) 66 (d) 10
  31. 31.What is the average of all the whole numbers from 20 to 42? (a) 32 (b) 22 (c) 11 (d) 31
  32. 32.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 10 (c) 62 (d) 68
  33. 33.What is the average of 13, 19, 10, 15, 19 and 56? (a) 23 (b) 21 (c) 22 (d) 24
  34. 34.What is the average of 22, 25, 7 and 26? (a) 21 (b) 19 (c) 20 (d) 22
  35. 35.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 53 (b) 46 (c) 70 (d) 109
  36. 36.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 32 (b) 61 (c) 60 (d) 59
  37. 37.What is the average of 21, 25, 25, 41 and 53? (a) 35 (b) 33 (c) 32 (d) 34
  38. 38.What is the average of 50, 52, 38 and 48? (a) 47 (b) 48 (c) 49 (d) 46
  39. 39.What is the average of 7, 34, 36 and 11? (a) 23 (b) 22 (c) 21 (d) 24
  40. 40.What is the average of all the whole numbers from 57 to 79? (a) 11 (b) 22 (c) 69 (d) 68

Answer key

  1. 76
  2. 40
  3. 106
  4. 59
  5. 21
  6. 64
  7. 67
  8. 79
  9. 75
  10. 41
  11. 43
  12. 39
  13. 49
  14. 58
  15. 59
  16. 75
  17. 50
  18. 25
  19. 102
  20. 53
  21. 45
  22. 72
  23. 24
  24. 49
  25. 46
  26. 76
  27. 26
  28. 28
  29. 49
  30. 65
  31. 31
  32. 68
  33. 22
  34. 20
  35. 109
  36. 60
  37. 33
  38. 47
  39. 22
  40. 68

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