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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 842 · 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 14, 8, 29, 15, 22 and 50? (a) 23 (b) 25 (c) 22 (d) 24
  2. 2.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 30 (c) 40 (d) 60
  3. 3.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 37 (b) 33 (c) 32 (d) 61
  4. 4.What is the average of all the whole numbers from 15 to 25? (a) 20 (b) 5 (c) 10 (d) 21
  5. 5.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 57 (b) 23 (c) 22 (d) 28
  6. 6.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 48 (b) 68 (c) 16 (d) 36
  7. 7.What is the average of 68, 66, 40 and 46? (a) 56 (b) 55 (c) 54 (d) 57
  8. 8.What is the average of 23, 46, 28, 47 and 26? (a) 35 (b) 33 (c) 36 (d) 34
  9. 9.A batter has an average of 42 runs in 8 matches. How many runs are needed in the next match to raise the average to 44? (a) 46 (b) 18 (c) 44 (d) 60
  10. 10.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 77 (b) 43 (c) 39 (d) 5
  11. 11.What is the average of 84, 71, 80, 70, 69 and 94? (a) 79 (b) 78 (c) 80 (d) 77
  12. 12.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 31 (b) 10 (c) 39 (d) 60
  13. 13.What is the average of all the whole numbers from 22 to 34? (a) 12 (b) 28 (c) 29 (d) 6
  14. 14.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 30 (b) 32 (c) 56 (d) 29
  15. 15.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 38? (a) 48 (b) 12 (c) 40 (d) 38
  16. 16.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 67 (b) 36 (c) 40 (d) 71
  17. 17.What is the average of 72, 83, 69 and 88? (a) 104 (b) 79 (c) 78 (d) 77
  18. 18.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 24 (c) 39 (d) 51
  19. 19.What is the average of 41, 19, 32 and 20? (a) 29 (b) 30 (c) 27 (d) 28
  20. 20.What is the average of all the whole numbers from 51 to 57? (a) 3 (b) 54 (c) 55 (d) 6
  21. 21.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 14 (b) 28 (c) 16 (d) 30
  22. 22.What is the average of all the whole numbers from 52 to 64? (a) 12 (b) 59 (c) 58 (d) 6
  23. 23.What is the average of 46, 47, 28 and 51? (a) 42 (b) 43 (c) 45 (d) 44
  24. 24.What is the average of 32, 48, 38, 37 and 70? (a) 44 (b) 46 (c) 47 (d) 45
  25. 25.What is the average of all the whole numbers from 13 to 29? (a) 16 (b) 8 (c) 21 (d) 22
  26. 26.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 18 (b) 8 (c) 22 (d) 12
  27. 27.What is the average of all the whole numbers from 54 to 82? (a) 14 (b) 28 (c) 69 (d) 68
  28. 28.What is the average of 32, 43, 49 and 44? (a) 43 (b) 56 (c) 42 (d) 41
  29. 29.What is the average of 19, 39, 34 and 36? (a) 34 (b) 33 (c) 31 (d) 32
  30. 30.What is the average of all the whole numbers from 38 to 72? (a) 34 (b) 55 (c) 56 (d) 17
  31. 31.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 16 (b) 12 (c) 24 (d) 20
  32. 32.What is the average of all the whole numbers from 23 to 31? (a) 4 (b) 28 (c) 8 (d) 27
  33. 33.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 21 (b) 37 (c) 41 (d) 25
  34. 34.What is the average of all the whole numbers from 53 to 85? (a) 69 (b) 32 (c) 16 (d) 70
  35. 35.What is the average of 63, 70, 86, 71 and 90? (a) 95 (b) 77 (c) 75 (d) 76
  36. 36.What is the average of 35, 27, 48, 36, 43 and 45? (a) 40 (b) 39 (c) 41 (d) 38
  37. 37.What is the average of 27, 26, 32 and 35? (a) 30 (b) 29 (c) 40 (d) 31
  38. 38.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 35 (b) 47 (c) 67 (d) 15
  39. 39.What is the average of all the whole numbers from 24 to 42? (a) 34 (b) 9 (c) 18 (d) 33
  40. 40.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 4 (b) 75 (c) 38 (d) 41

Answer key

  1. 23
  2. 60
  3. 61
  4. 20
  5. 22
  6. 48
  7. 55
  8. 34
  9. 60
  10. 43
  11. 78
  12. 39
  13. 28
  14. 56
  15. 48
  16. 71
  17. 78
  18. 51
  19. 28
  20. 54
  21. 28
  22. 58
  23. 43
  24. 45
  25. 21
  26. 18
  27. 68
  28. 42
  29. 32
  30. 55
  31. 24
  32. 27
  33. 41
  34. 69
  35. 76
  36. 39
  37. 30
  38. 47
  39. 33
  40. 41

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