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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 376 · 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 all the whole numbers from 32 to 48? (a) 16 (b) 41 (c) 40 (d) 8
  2. 2.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 31? (a) 43 (b) 35 (c) 31 (d) 16
  3. 3.What is the average of 39, 22, 17, 30 and 37? (a) 29 (b) 31 (c) 30 (d) 28
  4. 4.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 5 (b) 4 (c) 52 (d) 24
  5. 5.What is the average of all the whole numbers from 17 to 31? (a) 25 (b) 14 (c) 7 (d) 24
  6. 6.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 61 (b) 30 (c) 36 (d) 67
  7. 7.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 36 (b) 79 (c) 39 (d) 35
  8. 8.What is the average of all the whole numbers from 57 to 83? (a) 70 (b) 26 (c) 13 (d) 71
  9. 9.What is the average of 39, 39, 20 and 10? (a) 36 (b) 26 (c) 27 (d) 28
  10. 10.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 37? (a) 24 (b) 55 (c) 43 (d) 37
  11. 11.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 18 (c) 40 (d) 28
  12. 12.What is the average of 52, 47, 50 and 55? (a) 52 (b) 50 (c) 51 (d) 68
  13. 13.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 32 (b) 33 (c) 85 (d) 41
  14. 14.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 10 (b) 36 (c) 19 (d) 27
  15. 15.A batter has an average of 27 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 43 (c) 56 (d) 83
  16. 16.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 55 (c) 67 (d) 20
  17. 17.A batter has an average of 33 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 43 (c) 73 (d) 40
  18. 18.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 51 (c) 57 (d) 10
  19. 19.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 28? (a) 32 (b) 52 (c) 53 (d) 28
  20. 20.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 30 (b) 24 (c) 50 (d) 56
  21. 21.What is the average of all the whole numbers from 20 to 48? (a) 34 (b) 35 (c) 14 (d) 28
  22. 22.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 15 (b) 14 (c) 21 (d) 43
  23. 23.What is the average of all the whole numbers from 58 to 64? (a) 6 (b) 61 (c) 62 (d) 3
  24. 24.What is the average of 31, 28, 8, 27 and 6? (a) 21 (b) 19 (c) 25 (d) 20
  25. 25.What is the average of all the whole numbers from 23 to 43? (a) 10 (b) 34 (c) 33 (d) 20
  26. 26.What is the average of 35, 37, 26 and 18? (a) 29 (b) 30 (c) 31 (d) 28
  27. 27.What is the average of all the whole numbers from 48 to 88? (a) 69 (b) 40 (c) 68 (d) 20
  28. 28.What is the average of 51, 21, 41 and 31? (a) 35 (b) 36 (c) 48 (d) 37
  29. 29.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 8 (b) 76 (c) 39 (d) 45
  30. 30.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 63 (b) 79 (c) 24 (d) 59
  31. 31.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 28 (c) 60 (d) 40
  32. 32.What is the average of 45, 62, 37 and 56? (a) 50 (b) 49 (c) 52 (d) 51
  33. 33.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 41 (b) 40 (c) 101 (d) 49
  34. 34.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 39 (b) 24 (c) 35 (d) 55
  35. 35.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 24 (b) 50 (c) 30 (d) 34
  36. 36.What is the average of 60, 54, 58, 48 and 55? (a) 57 (b) 54 (c) 55 (d) 56
  37. 37.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 32 (b) 39 (c) 43 (d) 67
  38. 38.What is the average of all the whole numbers from 30 to 38? (a) 4 (b) 8 (c) 35 (d) 34
  39. 39.What is the average of 68, 63, 77 and 68? (a) 92 (b) 68 (c) 70 (d) 69
  40. 40.What is the average of 21, 25, 25, 45, 36 and 40? (a) 31 (b) 33 (c) 32 (d) 34

Answer key

  1. 40
  2. 43
  3. 29
  4. 4
  5. 24
  6. 61
  7. 35
  8. 70
  9. 27
  10. 55
  11. 40
  12. 51
  13. 32
  14. 27
  15. 83
  16. 67
  17. 73
  18. 57
  19. 52
  20. 50
  21. 34
  22. 14
  23. 61
  24. 20
  25. 33
  26. 29
  27. 68
  28. 36
  29. 45
  30. 79
  31. 60
  32. 50
  33. 40
  34. 55
  35. 50
  36. 55
  37. 67
  38. 34
  39. 69
  40. 32

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