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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 501 · 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 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 24? (a) 26 (b) 8 (c) 30 (d) 24
  2. 2.What is the average of all the whole numbers from 39 to 59? (a) 50 (b) 20 (c) 10 (d) 49
  3. 3.What is the average of 47, 40, 34, 34, 53 and 20? (a) 39 (b) 40 (c) 38 (d) 37
  4. 4.What is the average of 7, 32, 20, 18 and 23? (a) 21 (b) 25 (c) 19 (d) 20
  5. 5.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 5 (b) 6 (c) 35 (d) 75
  6. 6.A batter has an average of 58 runs in 7 matches. How many runs are needed in the next match to raise the average to 63? (a) 40 (b) 63 (c) 98 (d) 68
  7. 7.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 35 (b) 25 (c) 14 (d) 24
  8. 8.What is the average of 78, 86, 69 and 83? (a) 79 (b) 80 (c) 81 (d) 78
  9. 9.What is the average of all the whole numbers from 38 to 52? (a) 45 (b) 7 (c) 46 (d) 14
  10. 10.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 20 (b) 39 (c) 49 (d) 34
  11. 11.What is the average of 29, 28, 26 and 65? (a) 38 (b) 37 (c) 39 (d) 36
  12. 12.What is the average of all the whole numbers from 53 to 71? (a) 63 (b) 9 (c) 62 (d) 18
  13. 13.What is the average of all the whole numbers from 17 to 25? (a) 4 (b) 21 (c) 8 (d) 22
  14. 14.What is the average of 80, 65, 92 and 75? (a) 78 (b) 77 (c) 104 (d) 79
  15. 15.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 88 (b) 35 (c) 67 (d) 60
  16. 16.What is the average of all the whole numbers from 52 to 82? (a) 15 (b) 68 (c) 30 (d) 67
  17. 17.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 30 (b) 67 (c) 79 (d) 42
  18. 18.What is the average of all the whole numbers from 44 to 54? (a) 5 (b) 10 (c) 50 (d) 49
  19. 19.A batter has an average of 41 runs in 7 matches. How many runs are needed in the next match to raise the average to 46? (a) 40 (b) 46 (c) 51 (d) 81
  20. 20.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 67 (b) 1 (c) 2 (d) 31
  21. 21.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) 60 (b) 40 (c) 25 (d) 45
  22. 22.A batter has an average of 56 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 62 (c) 74 (d) 18
  23. 23.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 38 (b) 12 (c) 30 (d) 20
  24. 24.What is the average of all the whole numbers from 18 to 46? (a) 33 (b) 28 (c) 14 (d) 32
  25. 25.What is the average of 49, 49, 70, 65, 76 and 69? (a) 64 (b) 63 (c) 65 (d) 62
  26. 26.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 12 (b) 13 (c) 33 (d) 16
  27. 27.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 63? (a) 54 (b) 111 (c) 63 (d) 69
  28. 28.What is the average of 14, 32, 12, 15, 21 and 38? (a) 21 (b) 23 (c) 24 (d) 22
  29. 29.What is the average of all the whole numbers from 19 to 43? (a) 12 (b) 32 (c) 31 (d) 24
  30. 30.A batter has an average of 45 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 20 (b) 65 (c) 47 (d) 49
  31. 31.What is the average of all the whole numbers from 55 to 77? (a) 67 (b) 11 (c) 66 (d) 22
  32. 32.What is the average of 65, 69, 89, 79, 72 and 106? (a) 81 (b) 96 (c) 79 (d) 80
  33. 33.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 81 (b) 41 (c) 46 (d) 45
  34. 34.What is the average of 17, 16, 30, 38, 16 and 63? (a) 29 (b) 31 (c) 30 (d) 36
  35. 35.What is the average of all the whole numbers from 10 to 30? (a) 21 (b) 20 (c) 10 (d) 19
  36. 36.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 50 (b) 25 (c) 30 (d) 35
  37. 37.A batter has an average of 43 runs in 6 matches. How many runs are needed in the next match to raise the average to 50? (a) 49 (b) 50 (c) 92 (d) 57
  38. 38.What is the average of 60, 61, 33, 41 and 40? (a) 47 (b) 48 (c) 46 (d) 49
  39. 39.What is the average of all the whole numbers from 37 to 65? (a) 28 (b) 14 (c) 51 (d) 52
  40. 40.What is the average of 41, 39, 52, 55, 46 and 49? (a) 48 (b) 47 (c) 46 (d) 49

Answer key

  1. 30
  2. 49
  3. 38
  4. 20
  5. 5
  6. 98
  7. 35
  8. 79
  9. 45
  10. 49
  11. 37
  12. 62
  13. 21
  14. 78
  15. 88
  16. 67
  17. 67
  18. 49
  19. 81
  20. 1
  21. 60
  22. 74
  23. 30
  24. 32
  25. 63
  26. 12
  27. 111
  28. 22
  29. 31
  30. 65
  31. 66
  32. 80
  33. 81
  34. 30
  35. 20
  36. 50
  37. 92
  38. 47
  39. 51
  40. 47

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