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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 549 · 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 49, 66, 50 and 83? (a) 61 (b) 63 (c) 62 (d) 64
  2. 2.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 15 (b) 6 (c) 10 (d) 19
  3. 3.What is the average of 75, 66, 59, 80, 68 and 66? (a) 70 (b) 68 (c) 71 (d) 69
  4. 4.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 36 (b) 12 (c) 70 (d) 46
  5. 5.What is the average of all the whole numbers from 34 to 40? (a) 38 (b) 37 (c) 6 (d) 3
  6. 6.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 58 (b) 35 (c) 33 (d) 28
  7. 7.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 43 (b) 20 (c) 12 (d) 11
  8. 8.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 33 (c) 16 (d) 41
  9. 9.What is the average of all the whole numbers from 11 to 43? (a) 32 (b) 16 (c) 28 (d) 27
  10. 10.A batter has an average of 36 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 14 (c) 50 (d) 40
  11. 11.What is the average of 44, 26, 34 and 40? (a) 37 (b) 36 (c) 35 (d) 48
  12. 12.What is the average of 60, 60, 43 and 49? (a) 53 (b) 52 (c) 55 (d) 54
  13. 13.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 10 (b) 8 (c) 18 (d) 16
  14. 14.What is the average of 20, 21, 35, 6 and 18? (a) 25 (b) 20 (c) 19 (d) 21
  15. 15.What is the average of 32, 34, 13, 5 and 16? (a) 19 (b) 21 (c) 20 (d) 25
  16. 16.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 31? (a) 21 (b) 49 (c) 31 (d) 34
  17. 17.What is the average of all the whole numbers from 24 to 64? (a) 20 (b) 40 (c) 45 (d) 44
  18. 18.What is the average of all the whole numbers from 14 to 46? (a) 31 (b) 16 (c) 30 (d) 32
  19. 19.A batter has an average of 55 runs in 8 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 72 (c) 71 (d) 127
  20. 20.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 10 (b) 39 (c) 33 (d) 31
  21. 21.What is the average of all the whole numbers from 19 to 47? (a) 33 (b) 28 (c) 14 (d) 34
  22. 22.What is the average of all the whole numbers from 55 to 77? (a) 67 (b) 22 (c) 11 (d) 66
  23. 23.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 10 (b) 51 (c) 24 (d) 9
  24. 24.What is the average of 16, 39, 19 and 22? (a) 23 (b) 24 (c) 32 (d) 25
  25. 25.What is the average of 58, 39, 52, 49 and 32? (a) 48 (b) 46 (c) 45 (d) 47
  26. 26.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 48? (a) 73 (b) 53 (c) 48 (d) 30
  27. 27.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 54 (b) 42 (c) 46 (d) 16
  28. 28.What is the average of all the whole numbers from 53 to 69? (a) 16 (b) 61 (c) 8 (d) 62
  29. 29.What is the average of 78, 85, 83, 73, 70 and 85? (a) 80 (b) 78 (c) 79 (d) 81
  30. 30.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 40 (b) 7 (c) 19 (d) 8
  31. 31.What is the average of all the whole numbers from 58 to 96? (a) 77 (b) 19 (c) 78 (d) 38
  32. 32.What is the average of 41, 24, 39 and 28? (a) 32 (b) 34 (c) 44 (d) 33
  33. 33.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 24 (b) 43 (c) 64 (d) 83
  34. 34.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 40? (a) 40 (b) 85 (c) 45 (d) 50
  35. 35.What is the average of all the whole numbers from 15 to 29? (a) 14 (b) 22 (c) 7 (d) 23
  36. 36.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 24? (a) 40 (b) 24 (c) 28 (d) 20
  37. 37.What is the average of 68, 79, 57, 60 and 81? (a) 68 (b) 70 (c) 69 (d) 71
  38. 38.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 16 (b) 14 (c) 13 (d) 33
  39. 39.What is the average of 36, 47, 29, 41, 45 and 12? (a) 36 (b) 42 (c) 34 (d) 35
  40. 40.What is the average of 39, 35, 25, 44 and 12? (a) 33 (b) 31 (c) 32 (d) 30

Answer key

  1. 62
  2. 15
  3. 69
  4. 46
  5. 37
  6. 58
  7. 11
  8. 41
  9. 27
  10. 50
  11. 36
  12. 53
  13. 16
  14. 20
  15. 20
  16. 49
  17. 44
  18. 30
  19. 127
  20. 39
  21. 33
  22. 66
  23. 9
  24. 24
  25. 46
  26. 73
  27. 54
  28. 61
  29. 79
  30. 7
  31. 77
  32. 33
  33. 64
  34. 85
  35. 22
  36. 40
  37. 69
  38. 13
  39. 35
  40. 31

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