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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 22 · 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 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 27 (c) 64 (d) 85
  2. 2.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 25 (b) 40 (c) 45 (d) 60
  3. 3.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 25? (a) 39 (b) 16 (c) 27 (d) 25
  4. 4.What is the average of 63, 44, 44, 59 and 30? (a) 47 (b) 48 (c) 49 (d) 60
  5. 5.A batter has an average of 34 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 28 (b) 42 (c) 38 (d) 62
  6. 6.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 89 (b) 35 (c) 41 (d) 60
  7. 7.What is the average of all the whole numbers from 60 to 100? (a) 40 (b) 81 (c) 20 (d) 80
  8. 8.What is the average of 39, 40, 32, 33, 38 and 16? (a) 34 (b) 35 (c) 32 (d) 33
  9. 9.What is the average of 13, 28, 23, 21, 33 and 38? (a) 28 (b) 25 (c) 26 (d) 27
  10. 10.What is the average of all the whole numbers from 17 to 37? (a) 27 (b) 20 (c) 28 (d) 10
  11. 11.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) 14 (b) 40 (c) 50 (d) 38
  12. 12.What is the average of 60, 53, 70 and 61? (a) 60 (b) 62 (c) 61 (d) 63
  13. 13.What is the average of all the whole numbers from 50 to 58? (a) 4 (b) 54 (c) 8 (d) 55
  14. 14.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 40? (a) 47 (b) 96 (c) 63 (d) 40
  15. 15.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 26? (a) 42 (b) 28 (c) 26 (d) 18
  16. 16.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 48 (b) 56 (c) 50 (d) 92
  17. 17.What is the average of all the whole numbers from 30 to 58? (a) 14 (b) 44 (c) 28 (d) 45
  18. 18.What is the average of all the whole numbers from 16 to 54? (a) 38 (b) 36 (c) 35 (d) 19
  19. 19.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 40 (b) 84 (c) 12 (d) 13
  20. 20.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 43 (c) 20 (d) 31
  21. 21.What is the average of all the whole numbers from 30 to 38? (a) 4 (b) 35 (c) 34 (d) 8
  22. 22.What is the average of all the whole numbers from 17 to 23? (a) 3 (b) 21 (c) 20 (d) 6
  23. 23.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 38 (b) 72 (c) 30 (d) 94
  24. 24.What is the average of all the whole numbers from 31 to 51? (a) 41 (b) 20 (c) 42 (d) 10
  25. 25.A batter has an average of 55 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 79 (b) 61 (c) 24 (d) 58
  26. 26.What is the average of 46, 46, 45, 37, 31 and 11? (a) 38 (b) 37 (c) 35 (d) 36
  27. 27.A batter has an average of 59 runs in 3 matches. How many runs are needed in the next match to raise the average to 63? (a) 16 (b) 63 (c) 75 (d) 67
  28. 28.What is the average of all the whole numbers from 33 to 69? (a) 36 (b) 52 (c) 18 (d) 51
  29. 29.What is the average of 64, 79, 57 and 56? (a) 64 (b) 66 (c) 63 (d) 65
  30. 30.What is the average of 48, 45, 46, 56 and 55? (a) 52 (b) 51 (c) 50 (d) 49
  31. 31.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 77 (b) 19 (c) 20 (d) 37
  32. 32.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) 35 (c) 77 (d) 71
  33. 33.What is the average of all the whole numbers from 40 to 46? (a) 44 (b) 6 (c) 3 (d) 43
  34. 34.What is the average of all the whole numbers from 37 to 45? (a) 42 (b) 8 (c) 4 (d) 41
  35. 35.What is the average of 72, 88, 81, 73, 70 and 96? (a) 79 (b) 96 (c) 81 (d) 80
  36. 36.What is the average of 74, 63, 52, 58 and 73? (a) 80 (b) 65 (c) 64 (d) 63
  37. 37.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 32 (b) 20 (c) 17 (d) 29
  38. 38.What is the average of all the whole numbers from 41 to 77? (a) 36 (b) 18 (c) 59 (d) 60
  39. 39.What is the average of 45, 35, 54 and 62? (a) 49 (b) 50 (c) 51 (d) 48
  40. 40.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 16 (b) 33 (c) 19 (d) 36

Answer key

  1. 85
  2. 60
  3. 39
  4. 48
  5. 62
  6. 89
  7. 80
  8. 33
  9. 26
  10. 27
  11. 50
  12. 61
  13. 54
  14. 96
  15. 42
  16. 92
  17. 44
  18. 35
  19. 12
  20. 43
  21. 34
  22. 20
  23. 94
  24. 41
  25. 79
  26. 36
  27. 75
  28. 51
  29. 64
  30. 50
  31. 19
  32. 71
  33. 43
  34. 41
  35. 80
  36. 64
  37. 32
  38. 59
  39. 49
  40. 33

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