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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 784 · 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 5 to 41? (a) 23 (b) 24 (c) 36 (d) 18
  2. 2.What is the average of all the whole numbers from 48 to 84? (a) 36 (b) 18 (c) 67 (d) 66
  3. 3.What is the average of 21, 22, 35, 38, 24 and 16? (a) 27 (b) 25 (c) 26 (d) 28
  4. 4.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 45 (b) 92 (c) 37 (d) 38
  5. 5.What is the average of all the whole numbers from 39 to 79? (a) 59 (b) 20 (c) 40 (d) 60
  6. 6.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 25 (b) 53 (c) 68 (d) 48
  7. 7.What is the average of 91, 68, 74, 63, 87 and 79? (a) 76 (b) 78 (c) 77 (d) 79
  8. 8.What is the average of all the whole numbers from 37 to 51? (a) 7 (b) 44 (c) 14 (d) 45
  9. 9.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 60? (a) 60 (b) 69 (c) 63 (d) 12
  10. 10.What is the average of all the whole numbers from 40 to 64? (a) 52 (b) 24 (c) 53 (d) 12
  11. 11.A batter has an average of 38 runs in 6 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 52 (c) 87 (d) 49
  12. 12.What is the average of all the whole numbers from 57 to 71? (a) 7 (b) 65 (c) 14 (d) 64
  13. 13.What is the average of all the whole numbers from 52 to 66? (a) 60 (b) 14 (c) 7 (d) 59
  14. 14.What is the average of 82, 84, 68 and 70? (a) 75 (b) 76 (c) 77 (d) 78
  15. 15.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 10 (b) 66 (c) 42 (d) 34
  16. 16.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 58? (a) 20 (b) 63 (c) 73 (d) 58
  17. 17.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 43 (b) 85 (c) 37 (d) 54
  18. 18.What is the average of all the whole numbers from 5 to 29? (a) 18 (b) 24 (c) 12 (d) 17
  19. 19.What is the average of 21, 36, 13, 32, 25 and 29? (a) 25 (b) 26 (c) 27 (d) 28
  20. 20.What is the average of 39, 38, 41, 53, 38 and 67? (a) 47 (b) 48 (c) 45 (d) 46
  21. 21.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 41 (b) 35 (c) 7 (d) 69
  22. 22.What is the average of 40, 28, 46 and 18? (a) 32 (b) 33 (c) 44 (d) 34
  23. 23.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 38 (b) 77 (c) 35 (d) 34
  24. 24.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 27? (a) 27 (b) 48 (c) 28 (d) 34
  25. 25.What is the average of all the whole numbers from 23 to 51? (a) 14 (b) 38 (c) 37 (d) 28
  26. 26.What is the average of 16, 13, 36, 18 and 22? (a) 20 (b) 21 (c) 23 (d) 22
  27. 27.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 67? (a) 67 (b) 95 (c) 35 (d) 74
  28. 28.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 73 (c) 72 (d) 48
  29. 29.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 40 (b) 8 (c) 36 (d) 34
  30. 30.What is the average of all the whole numbers from 58 to 66? (a) 62 (b) 4 (c) 63 (d) 8
  31. 31.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 51 (b) 10 (c) 43 (d) 45
  32. 32.What is the average of all the whole numbers from 34 to 74? (a) 40 (b) 20 (c) 54 (d) 55
  33. 33.What is the average of 24, 7, 25, 13, 20 and 31? (a) 21 (b) 20 (c) 24 (d) 19
  34. 34.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 95 (b) 49 (c) 67 (d) 21
  35. 35.What is the average of all the whole numbers from 11 to 43? (a) 27 (b) 28 (c) 16 (d) 32
  36. 36.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 20 (b) 26 (c) 42 (d) 30
  37. 37.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 40? (a) 40 (b) 68 (c) 44 (d) 32
  38. 38.What is the average of 40, 43, 22 and 27? (a) 34 (b) 32 (c) 33 (d) 44
  39. 39.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 65? (a) 73 (b) 72 (c) 65 (d) 129
  40. 40.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 60? (a) 56 (b) 109 (c) 60 (d) 67

Answer key

  1. 23
  2. 66
  3. 26
  4. 37
  5. 59
  6. 68
  7. 77
  8. 44
  9. 69
  10. 52
  11. 87
  12. 64
  13. 59
  14. 76
  15. 42
  16. 73
  17. 85
  18. 17
  19. 26
  20. 46
  21. 41
  22. 33
  23. 34
  24. 48
  25. 37
  26. 21
  27. 95
  28. 72
  29. 40
  30. 62
  31. 51
  32. 54
  33. 20
  34. 67
  35. 27
  36. 42
  37. 68
  38. 33
  39. 129
  40. 109

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