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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 439 · 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 43 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 79 (b) 47 (c) 36 (d) 51
  2. 2.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 36 (b) 11 (c) 12 (d) 77
  3. 3.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 16 (b) 39 (c) 48 (d) 25
  4. 4.What is the average of all the whole numbers from 7 to 43? (a) 26 (b) 18 (c) 36 (d) 25
  5. 5.What is the average of all the whole numbers from 28 to 34? (a) 6 (b) 31 (c) 32 (d) 3
  6. 6.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 85 (b) 39 (c) 38 (d) 42
  7. 7.What is the average of 43, 37, 26, 23, 44 and 49? (a) 38 (b) 39 (c) 36 (d) 37
  8. 8.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 36? (a) 36 (b) 40 (c) 68 (d) 44
  9. 9.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 37 (b) 25 (c) 47 (d) 15
  10. 10.What is the average of 42, 22, 18 and 34? (a) 29 (b) 31 (c) 30 (d) 28
  11. 11.What is the average of 41, 51, 58, 40 and 50? (a) 60 (b) 48 (c) 47 (d) 49
  12. 12.A batter has an average of 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 42 (b) 37 (c) 45 (d) 77
  13. 13.What is the average of 44, 58, 54, 46 and 73? (a) 57 (b) 56 (c) 55 (d) 54
  14. 14.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 52 (b) 56 (c) 94 (d) 45
  15. 15.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 16 (c) 50 (d) 42
  16. 16.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 41 (b) 71 (c) 77 (d) 35
  17. 17.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 22 (b) 58 (c) 23 (d) 28
  18. 18.What is the average of all the whole numbers from 21 to 45? (a) 12 (b) 24 (c) 33 (d) 34
  19. 19.What is the average of all the whole numbers from 38 to 64? (a) 26 (b) 51 (c) 13 (d) 52
  20. 20.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 70 (c) 52 (d) 30
  21. 21.What is the average of all the whole numbers from 19 to 51? (a) 32 (b) 36 (c) 16 (d) 35
  22. 22.What is the average of 15, 18, 13, 15 and 59? (a) 24 (b) 30 (c) 25 (d) 23
  23. 23.What is the average of all the whole numbers from 9 to 45? (a) 36 (b) 28 (c) 18 (d) 27
  24. 24.A batter has an average of 59 runs in 6 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 63 (c) 14 (d) 73
  25. 25.What is the average of 31, 27, 24 and 42? (a) 30 (b) 33 (c) 31 (d) 32
  26. 26.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 60 (b) 24 (c) 23 (d) 29
  27. 27.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 61 (c) 40 (d) 35
  28. 28.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 30 (b) 56 (c) 55 (d) 54
  29. 29.What is the average of all the whole numbers from 27 to 67? (a) 20 (b) 48 (c) 47 (d) 40
  30. 30.What is the average of 34, 19, 23, 32 and 47? (a) 32 (b) 30 (c) 33 (d) 31
  31. 31.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 22 (b) 43 (c) 4 (d) 25
  32. 32.What is the average of 52, 59, 62, 67, 44 and 40? (a) 56 (b) 54 (c) 53 (d) 55
  33. 33.What is the average of 41, 41, 52, 29 and 22? (a) 38 (b) 36 (c) 39 (d) 37
  34. 34.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 38 (b) 94 (c) 70 (d) 31
  35. 35.What is the average of 27, 35, 35, 26, 22 and 71? (a) 36 (b) 37 (c) 38 (d) 35
  36. 36.What is the average of all the whole numbers from 11 to 43? (a) 32 (b) 28 (c) 27 (d) 16
  37. 37.What is the average of 55, 74, 67, 57 and 67? (a) 63 (b) 65 (c) 64 (d) 80
  38. 38.What is the average of 65, 65, 77 and 101? (a) 79 (b) 76 (c) 77 (d) 78
  39. 39.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 12 (b) 48 (c) 75 (d) 39
  40. 40.What is the average of 61, 52, 70, 47 and 60? (a) 59 (b) 60 (c) 57 (d) 58

Answer key

  1. 79
  2. 11
  3. 39
  4. 25
  5. 31
  6. 38
  7. 37
  8. 68
  9. 37
  10. 29
  11. 48
  12. 77
  13. 55
  14. 94
  15. 50
  16. 71
  17. 22
  18. 33
  19. 51
  20. 70
  21. 35
  22. 24
  23. 27
  24. 73
  25. 31
  26. 23
  27. 61
  28. 55
  29. 47
  30. 31
  31. 25
  32. 54
  33. 37
  34. 94
  35. 36
  36. 27
  37. 64
  38. 77
  39. 48
  40. 58

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