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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 696 · 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 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 12 (c) 42 (d) 36
  2. 2.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 93 (b) 10 (c) 9 (d) 44
  3. 3.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 63 (c) 36 (d) 85
  4. 4.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 63 (c) 35 (d) 38
  5. 5.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 53 (b) 24 (c) 5 (d) 4
  6. 6.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 99 (b) 43 (c) 42 (d) 49
  7. 7.What is the average of 32, 41, 30 and 69? (a) 42 (b) 44 (c) 45 (d) 43
  8. 8.What is the average of 75, 52, 48, 50, 78 and 75? (a) 64 (b) 65 (c) 62 (d) 63
  9. 9.What is the average of 57, 82, 69, 69 and 78? (a) 70 (b) 71 (c) 73 (d) 72
  10. 10.What is the average of all the whole numbers from 10 to 24? (a) 18 (b) 17 (c) 14 (d) 7
  11. 11.What is the average of 71, 76, 79 and 66? (a) 74 (b) 72 (c) 75 (d) 73
  12. 12.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 42 (b) 20 (c) 9 (d) 8
  13. 13.What is the average of 21, 38, 22 and 51? (a) 33 (b) 44 (c) 34 (d) 32
  14. 14.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 18 (b) 33 (c) 48 (d) 63
  15. 15.What is the average of all the whole numbers from 33 to 47? (a) 7 (b) 14 (c) 41 (d) 40
  16. 16.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 48 (b) 26 (c) 42 (d) 20
  17. 17.What is the average of all the whole numbers from 30 to 68? (a) 38 (b) 50 (c) 19 (d) 49
  18. 18.What is the average of all the whole numbers from 37 to 65? (a) 52 (b) 51 (c) 14 (d) 28
  19. 19.What is the average of 61, 62, 55, 78 and 94? (a) 71 (b) 72 (c) 69 (d) 70
  20. 20.What is the average of all the whole numbers from 60 to 92? (a) 16 (b) 32 (c) 77 (d) 76
  21. 21.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 66? (a) 72 (b) 66 (c) 90 (d) 30
  22. 22.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 58? (a) 58 (b) 76 (c) 60 (d) 20
  23. 23.What is the average of all the whole numbers from 58 to 72? (a) 14 (b) 65 (c) 7 (d) 66
  24. 24.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 42 (b) 10 (c) 40 (d) 48
  25. 25.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 37 (b) 12 (c) 72 (d) 47
  26. 26.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 9 (b) 8 (c) 44 (d) 20
  27. 27.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 97 (b) 47 (c) 36 (d) 35
  28. 28.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 65 (c) 30 (d) 41
  29. 29.What is the average of 18, 39, 20, 30 and 28? (a) 29 (b) 28 (c) 27 (d) 26
  30. 30.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 4 (b) 51 (c) 24 (d) 3
  31. 31.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 14 (b) 18 (c) 13 (d) 37
  32. 32.What is the average of 75, 71, 57, 58, 54 and 99? (a) 68 (b) 70 (c) 71 (d) 69
  33. 33.What is the average of 48, 48, 27, 38, 38 and 23? (a) 36 (b) 38 (c) 37 (d) 39
  34. 34.A batter has an average of 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 104 (b) 55 (c) 62 (d) 56
  35. 35.What is the average of 29, 42, 24, 49, 51 and 21? (a) 38 (b) 37 (c) 36 (d) 35
  36. 36.What is the average of 57, 42, 33, 54 and 39? (a) 45 (b) 46 (c) 47 (d) 44
  37. 37.What is the average of all the whole numbers from 23 to 45? (a) 34 (b) 11 (c) 35 (d) 22
  38. 38.What is the average of all the whole numbers from 34 to 54? (a) 45 (b) 44 (c) 10 (d) 20
  39. 39.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 21 (b) 28 (c) 8 (d) 15
  40. 40.What is the average of 54, 49, 48, 54, 63 and 86? (a) 61 (b) 60 (c) 58 (d) 59

Answer key

  1. 42
  2. 9
  3. 85
  4. 63
  5. 4
  6. 42
  7. 43
  8. 63
  9. 71
  10. 17
  11. 73
  12. 8
  13. 33
  14. 48
  15. 40
  16. 42
  17. 49
  18. 51
  19. 70
  20. 76
  21. 90
  22. 76
  23. 65
  24. 48
  25. 47
  26. 8
  27. 35
  28. 65
  29. 27
  30. 3
  31. 13
  32. 69
  33. 37
  34. 104
  35. 36
  36. 45
  37. 34
  38. 44
  39. 21
  40. 59

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