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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 526 · 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 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 63? (a) 69 (b) 63 (c) 111 (d) 54
  2. 2.A batter has an average of 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 53? (a) 60 (b) 116 (c) 53 (d) 70
  3. 3.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 42 (b) 38 (c) 85 (d) 37
  4. 4.What is the average of all the whole numbers from 16 to 32? (a) 24 (b) 8 (c) 25 (d) 16
  5. 5.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 30 (b) 42 (c) 37 (d) 62
  6. 6.What is the average of 33, 20, 16 and 31? (a) 26 (b) 25 (c) 24 (d) 27
  7. 7.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 75 (b) 48 (c) 12 (d) 39
  8. 8.What is the average of all the whole numbers from 30 to 46? (a) 8 (b) 39 (c) 38 (d) 16
  9. 9.What is the average of 22, 37, 22 and 23? (a) 27 (b) 28 (c) 26 (d) 25
  10. 10.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 81 (b) 60 (c) 21 (d) 42
  11. 11.What is the average of 54, 72, 62, 70 and 32? (a) 60 (b) 58 (c) 57 (d) 59
  12. 12.What is the average of 20, 37, 19 and 48? (a) 33 (b) 31 (c) 32 (d) 30
  13. 13.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 40 (b) 42 (c) 39 (d) 85
  14. 14.What is the average of 58, 45, 65 and 60? (a) 76 (b) 57 (c) 58 (d) 56
  15. 15.What is the average of 55, 73, 73, 63, 56 and 100? (a) 84 (b) 69 (c) 70 (d) 71
  16. 16.What is the average of 14, 9, 22, 25, 20 and 36? (a) 23 (b) 21 (c) 20 (d) 22
  17. 17.What is the average of all the whole numbers from 27 to 37? (a) 32 (b) 10 (c) 33 (d) 5
  18. 18.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 82 (b) 60 (c) 34 (d) 28
  19. 19.What is the average of 17, 40, 28, 42 and 13? (a) 27 (b) 35 (c) 29 (d) 28
  20. 20.What is the average of all the whole numbers from 11 to 39? (a) 26 (b) 28 (c) 25 (d) 14
  21. 21.What is the average of all the whole numbers from 28 to 50? (a) 22 (b) 40 (c) 11 (d) 39
  22. 22.What is the average of all the whole numbers from 30 to 48? (a) 39 (b) 9 (c) 18 (d) 40
  23. 23.What is the average of 69, 53, 57 and 65? (a) 61 (b) 60 (c) 62 (d) 63
  24. 24.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 64 (c) 68 (d) 8
  25. 25.What is the average of 86, 62, 78 and 66? (a) 74 (b) 75 (c) 72 (d) 73
  26. 26.What is the average of 69, 75, 74, 67 and 30? (a) 62 (b) 63 (c) 64 (d) 65
  27. 27.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 21 (b) 28 (c) 10 (d) 17
  28. 28.What is the average of all the whole numbers from 10 to 16? (a) 6 (b) 13 (c) 14 (d) 3
  29. 29.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 27? (a) 45 (b) 30 (c) 21 (d) 27
  30. 30.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 41? (a) 48 (b) 90 (c) 41 (d) 56
  31. 31.What is the average of 58, 50, 50, 62, 62 and 96? (a) 65 (b) 64 (c) 63 (d) 62
  32. 32.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 38? (a) 38 (b) 45 (c) 28 (d) 59
  33. 33.A batter has an average of 45 runs in 9 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 96 (c) 95 (d) 55
  34. 34.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 17 (b) 36 (c) 4 (d) 3
  35. 35.What is the average of all the whole numbers from 37 to 43? (a) 40 (b) 6 (c) 41 (d) 3
  36. 36.What is the average of 34, 47, 29 and 34? (a) 36 (b) 37 (c) 35 (d) 48
  37. 37.What is the average of all the whole numbers from 20 to 46? (a) 26 (b) 13 (c) 33 (d) 34
  38. 38.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 31? (a) 34 (b) 55 (c) 27 (d) 31
  39. 39.What is the average of 92, 80, 80 and 68? (a) 82 (b) 81 (c) 80 (d) 79
  40. 40.What is the average of 69, 54, 74, 60, 68 and 71? (a) 66 (b) 68 (c) 65 (d) 67

Answer key

  1. 111
  2. 116
  3. 37
  4. 24
  5. 62
  6. 25
  7. 48
  8. 38
  9. 26
  10. 60
  11. 58
  12. 31
  13. 39
  14. 57
  15. 70
  16. 21
  17. 32
  18. 82
  19. 28
  20. 25
  21. 39
  22. 39
  23. 61
  24. 68
  25. 73
  26. 63
  27. 28
  28. 13
  29. 45
  30. 90
  31. 63
  32. 59
  33. 95
  34. 3
  35. 40
  36. 36
  37. 33
  38. 55
  39. 80
  40. 66

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