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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 722 · 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 7 to 33? (a) 21 (b) 20 (c) 26 (d) 13
  2. 2.A batter has an average of 39 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 102 (c) 63 (d) 53
  3. 3.What is the average of 41, 38, 37, 30, 27 and 19? (a) 32 (b) 33 (c) 34 (d) 31
  4. 4.What is the average of 66, 65, 74, 83 and 102? (a) 77 (b) 79 (c) 78 (d) 80
  5. 5.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 63 (c) 72 (d) 15
  6. 6.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 64 (b) 34 (c) 16 (d) 46
  7. 7.What is the average of all the whole numbers from 37 to 53? (a) 8 (b) 45 (c) 16 (d) 46
  8. 8.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 35 (b) 34 (c) 40 (d) 82
  9. 9.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 24 (b) 11 (c) 4 (d) 3
  10. 10.What is the average of 82, 73, 81, 63 and 46? (a) 70 (b) 71 (c) 69 (d) 68
  11. 11.What is the average of 41, 25, 42, 26, 28 and 60? (a) 36 (b) 39 (c) 37 (d) 38
  12. 12.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 51 (b) 69 (c) 45 (d) 30
  13. 13.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 31? (a) 31 (b) 50 (c) 76 (d) 36
  14. 14.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 67 (b) 31 (c) 17 (d) 16
  15. 15.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 56 (b) 71 (c) 51 (d) 25
  16. 16.What is the average of 58, 67, 55 and 68? (a) 63 (b) 61 (c) 62 (d) 64
  17. 17.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 75 (b) 31 (c) 32 (d) 37
  18. 18.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 57 (b) 20 (c) 67 (d) 52
  19. 19.What is the average of all the whole numbers from 20 to 30? (a) 26 (b) 5 (c) 10 (d) 25
  20. 20.What is the average of 52, 29, 32, 52 and 55? (a) 43 (b) 44 (c) 55 (d) 45
  21. 21.What is the average of all the whole numbers from 46 to 56? (a) 10 (b) 51 (c) 52 (d) 5
  22. 22.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 33 (b) 24 (c) 8 (d) 17
  23. 23.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 62? (a) 12 (b) 71 (c) 65 (d) 62
  24. 24.What is the average of all the whole numbers from 28 to 68? (a) 20 (b) 48 (c) 49 (d) 40
  25. 25.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 40 (c) 50 (d) 80
  26. 26.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 21 (b) 19 (c) 29 (d) 11
  27. 27.A batter has an average of 40 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 42 (c) 54 (d) 82
  28. 28.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 48 (c) 37 (d) 69
  29. 29.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 30 (c) 60 (d) 78
  30. 30.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 14 (b) 29 (c) 15 (d) 63
  31. 31.What is the average of 36, 57, 52, 38 and 72? (a) 53 (b) 51 (c) 50 (d) 52
  32. 32.What is the average of 58, 56, 59, 54 and 118? (a) 71 (b) 68 (c) 69 (d) 70
  33. 33.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 64 (c) 56 (d) 106
  34. 34.What is the average of all the whole numbers from 12 to 26? (a) 14 (b) 19 (c) 20 (d) 7
  35. 35.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 54 (c) 42 (d) 20
  36. 36.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 57? (a) 64 (b) 113 (c) 65 (d) 57
  37. 37.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 22 (b) 13 (c) 23 (d) 12
  38. 38.What is the average of all the whole numbers from 53 to 59? (a) 6 (b) 57 (c) 56 (d) 3
  39. 39.What is the average of 79, 77, 75 and 49? (a) 72 (b) 69 (c) 70 (d) 71
  40. 40.What is the average of 12, 19, 27, 22 and 50? (a) 28 (b) 25 (c) 26 (d) 27

Answer key

  1. 20
  2. 102
  3. 32
  4. 78
  5. 72
  6. 46
  7. 45
  8. 34
  9. 3
  10. 69
  11. 37
  12. 69
  13. 76
  14. 16
  15. 71
  16. 62
  17. 31
  18. 67
  19. 25
  20. 44
  21. 51
  22. 24
  23. 71
  24. 48
  25. 80
  26. 29
  27. 82
  28. 69
  29. 78
  30. 14
  31. 51
  32. 69
  33. 106
  34. 19
  35. 54
  36. 113
  37. 22
  38. 56
  39. 70
  40. 26

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