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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 677 · 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 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 38 (c) 10 (d) 32
  2. 2.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 40 (b) 12 (c) 31 (d) 21
  3. 3.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 14 (b) 31 (c) 13 (d) 65
  4. 4.What is the average of all the whole numbers from 56 to 64? (a) 8 (b) 4 (c) 61 (d) 60
  5. 5.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 21 (b) 6 (c) 11 (d) 16
  6. 6.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 40 (b) 5 (c) 44 (d) 79
  7. 7.What is the average of 59, 86, 87 and 56? (a) 73 (b) 72 (c) 96 (d) 71
  8. 8.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 44 (b) 24 (c) 60 (d) 40
  9. 9.What is the average of all the whole numbers from 7 to 27? (a) 18 (b) 10 (c) 17 (d) 20
  10. 10.What is the average of all the whole numbers from 39 to 65? (a) 13 (b) 26 (c) 52 (d) 53
  11. 11.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 20 (b) 100 (c) 48 (d) 21
  12. 12.What is the average of 33, 45, 43 and 67? (a) 49 (b) 48 (c) 47 (d) 46
  13. 13.What is the average of 40, 23, 29, 45 and 48? (a) 37 (b) 36 (c) 38 (d) 39
  14. 14.A batter has an average of 39 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 72 (c) 55 (d) 111
  15. 15.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 23? (a) 25 (b) 23 (c) 33 (d) 12
  16. 16.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 34 (c) 32 (d) 58
  17. 17.What is the average of all the whole numbers from 25 to 47? (a) 37 (b) 11 (c) 36 (d) 22
  18. 18.What is the average of all the whole numbers from 19 to 29? (a) 10 (b) 25 (c) 5 (d) 24
  19. 19.What is the average of 72, 71, 54, 80, 52 and 73? (a) 68 (b) 66 (c) 67 (d) 69
  20. 20.What is the average of all the whole numbers from 8 to 28? (a) 19 (b) 10 (c) 20 (d) 18
  21. 21.What is the average of all the whole numbers from 58 to 70? (a) 65 (b) 6 (c) 12 (d) 64
  22. 22.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 25? (a) 15 (b) 25 (c) 37 (d) 28
  23. 23.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 49? (a) 12 (b) 58 (c) 52 (d) 49
  24. 24.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 37 (b) 23 (c) 19 (d) 5
  25. 25.What is the average of 26, 14, 27, 9, 34 and 34? (a) 23 (b) 25 (c) 24 (d) 26
  26. 26.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 44 (b) 8 (c) 29 (d) 23
  27. 27.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 14 (b) 40 (c) 30 (d) 28
  28. 28.What is the average of all the whole numbers from 39 to 71? (a) 32 (b) 55 (c) 16 (d) 56
  29. 29.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 42 (b) 30 (c) 22 (d) 10
  30. 30.What is the average of all the whole numbers from 5 to 41? (a) 24 (b) 23 (c) 36 (d) 18
  31. 31.What is the average of all the whole numbers from 12 to 42? (a) 15 (b) 30 (c) 28 (d) 27
  32. 32.What is the average of all the whole numbers from 55 to 61? (a) 3 (b) 58 (c) 59 (d) 6
  33. 33.A batter has an average of 40 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 54 (c) 70 (d) 110
  34. 34.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 36 (c) 60 (d) 61
  35. 35.What is the average of 6, 17, 33, 28, 29 and 7? (a) 21 (b) 20 (c) 24 (d) 19
  36. 36.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 14 (b) 26 (c) 25 (d) 27
  37. 37.What is the average of 21, 23, 39, 18 and 54? (a) 30 (b) 31 (c) 32 (d) 33
  38. 38.What is the average of 62, 50, 67 and 73? (a) 84 (b) 64 (c) 63 (d) 62
  39. 39.A batter has an average of 43 runs in 7 matches. How many runs are needed in the next match to raise the average to 46? (a) 67 (b) 46 (c) 49 (d) 24
  40. 40.What is the average of 57, 59, 36, 40, 41 and 37? (a) 45 (b) 46 (c) 44 (d) 54

Answer key

  1. 38
  2. 31
  3. 13
  4. 60
  5. 16
  6. 44
  7. 72
  8. 60
  9. 17
  10. 52
  11. 20
  12. 47
  13. 37
  14. 111
  15. 33
  16. 58
  17. 36
  18. 24
  19. 67
  20. 18
  21. 64
  22. 37
  23. 58
  24. 23
  25. 24
  26. 29
  27. 40
  28. 55
  29. 30
  30. 23
  31. 27
  32. 58
  33. 110
  34. 60
  35. 20
  36. 26
  37. 31
  38. 63
  39. 67
  40. 45

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