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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 961 · 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 45, 55, 39 and 53? (a) 64 (b) 47 (c) 48 (d) 49
  2. 2.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 62? (a) 62 (b) 65 (c) 30 (d) 89
  3. 3.What is the average of 40, 25, 53 and 38? (a) 39 (b) 52 (c) 40 (d) 38
  4. 4.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 40 (b) 39 (c) 91 (d) 45
  5. 5.What is the average of 12, 20, 26 and 34? (a) 25 (b) 23 (c) 24 (d) 22
  6. 6.What is the average of all the whole numbers from 32 to 38? (a) 6 (b) 35 (c) 3 (d) 36
  7. 7.What is the average of all the whole numbers from 14 to 38? (a) 24 (b) 12 (c) 26 (d) 27
  8. 8.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 63 (b) 54 (c) 12 (d) 57
  9. 9.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) 43 (b) 37 (c) 36 (d) 67
  10. 10.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 39 (b) 33 (c) 35 (d) 8
  11. 11.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 55 (b) 79 (c) 40 (d) 47
  12. 12.What is the average of all the whole numbers from 45 to 59? (a) 52 (b) 14 (c) 53 (d) 7
  13. 13.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 57? (a) 63 (b) 81 (c) 30 (d) 57
  14. 14.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 55? (a) 60 (b) 30 (c) 80 (d) 55
  15. 15.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
  16. 16.What is the average of 33, 33, 33, 30 and 31? (a) 32 (b) 31 (c) 33 (d) 40
  17. 17.What is the average of all the whole numbers from 27 to 33? (a) 3 (b) 31 (c) 6 (d) 30
  18. 18.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 23 (b) 24 (c) 90 (d) 43
  19. 19.What is the average of 14, 11, 36, 7 and 42? (a) 23 (b) 22 (c) 24 (d) 21
  20. 20.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 55? (a) 20 (b) 71 (c) 59 (d) 55
  21. 21.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 8 (b) 37 (c) 73 (d) 44
  22. 22.What is the average of all the whole numbers from 33 to 57? (a) 12 (b) 45 (c) 46 (d) 24
  23. 23.What is the average of all the whole numbers from 8 to 46? (a) 27 (b) 28 (c) 38 (d) 19
  24. 24.What is the average of 83, 75, 79, 62 and 41? (a) 85 (b) 69 (c) 67 (d) 68
  25. 25.What is the average of all the whole numbers from 59 to 77? (a) 69 (b) 9 (c) 68 (d) 18
  26. 26.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 103 (b) 31 (c) 80 (d) 39
  27. 27.What is the average of all the whole numbers from 42 to 64? (a) 54 (b) 53 (c) 11 (d) 22
  28. 28.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 32 (c) 58 (d) 82
  29. 29.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 27? (a) 29 (b) 27 (c) 14 (d) 39
  30. 30.What is the average of all the whole numbers from 45 to 77? (a) 32 (b) 16 (c) 62 (d) 61
  31. 31.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 88 (b) 60 (c) 56 (d) 36
  32. 32.What is the average of all the whole numbers from 52 to 74? (a) 64 (b) 11 (c) 22 (d) 63
  33. 33.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 60 (b) 20 (c) 50 (d) 45
  34. 34.What is the average of 71, 60, 74 and 71? (a) 69 (b) 68 (c) 70 (d) 92
  35. 35.What is the average of all the whole numbers from 8 to 32? (a) 21 (b) 20 (c) 24 (d) 12
  36. 36.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 55? (a) 61 (b) 109 (c) 60 (d) 55
  37. 37.What is the average of all the whole numbers from 32 to 44? (a) 12 (b) 6 (c) 38 (d) 39
  38. 38.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 67 (b) 40 (c) 43 (d) 35
  39. 39.What is the average of 54, 72, 51 and 87? (a) 66 (b) 65 (c) 88 (d) 67
  40. 40.What is the average of 62, 64, 55, 60 and 99? (a) 68 (b) 69 (c) 67 (d) 85

Answer key

  1. 48
  2. 89
  3. 39
  4. 39
  5. 23
  6. 35
  7. 26
  8. 63
  9. 67
  10. 39
  11. 79
  12. 52
  13. 81
  14. 80
  15. 46
  16. 32
  17. 30
  18. 23
  19. 22
  20. 71
  21. 44
  22. 45
  23. 27
  24. 68
  25. 68
  26. 103
  27. 53
  28. 82
  29. 39
  30. 61
  31. 88
  32. 63
  33. 60
  34. 69
  35. 20
  36. 109
  37. 38
  38. 67
  39. 66
  40. 68

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