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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 350 · 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 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 20 (b) 33 (c) 48 (d) 38
  2. 2.What is the average of all the whole numbers from 51 to 83? (a) 68 (b) 32 (c) 67 (d) 16
  3. 3.What is the average of all the whole numbers from 26 to 46? (a) 37 (b) 36 (c) 10 (d) 20
  4. 4.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 68? (a) 76 (b) 92 (c) 32 (d) 68
  5. 5.What is the average of all the whole numbers from 32 to 40? (a) 8 (b) 37 (c) 36 (d) 4
  6. 6.What is the average of all the whole numbers from 28 to 54? (a) 42 (b) 26 (c) 13 (d) 41
  7. 7.What is the average of 70, 73, 74, 70, 83 and 80? (a) 90 (b) 74 (c) 75 (d) 76
  8. 8.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 22 (b) 42 (c) 40 (d) 24
  9. 9.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 59 (b) 55 (c) 32 (d) 83
  10. 10.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 30 (b) 15 (c) 10 (d) 25
  11. 11.What is the average of all the whole numbers from 60 to 82? (a) 22 (b) 71 (c) 72 (d) 11
  12. 12.What is the average of 6, 21, 35, 6 and 37? (a) 22 (b) 20 (c) 23 (d) 21
  13. 13.What is the average of all the whole numbers from 23 to 53? (a) 38 (b) 39 (c) 30 (d) 15
  14. 14.What is the average of all the whole numbers from 13 to 27? (a) 21 (b) 14 (c) 7 (d) 20
  15. 15.What is the average of 43, 46, 28, 46 and 12? (a) 34 (b) 36 (c) 37 (d) 35
  16. 16.What is the average of 19, 9, 21, 14, 36 and 33? (a) 22 (b) 24 (c) 23 (d) 21
  17. 17.What is the average of 68, 60, 50 and 42? (a) 57 (b) 56 (c) 54 (d) 55
  18. 18.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 33 (b) 32 (c) 44 (d) 90
  19. 19.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 54 (b) 24 (c) 48 (d) 66
  20. 20.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 32 (b) 28 (c) 60 (d) 56
  21. 21.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 23 (b) 8 (c) 17 (d) 32
  22. 22.What is the average of all the whole numbers from 35 to 49? (a) 42 (b) 7 (c) 43 (d) 14
  23. 23.What is the average of all the whole numbers from 39 to 69? (a) 15 (b) 54 (c) 30 (d) 55
  24. 24.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 10 (b) 60 (c) 39 (d) 31
  25. 25.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 50 (b) 14 (c) 98 (d) 62
  26. 26.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 56 (b) 15 (c) 44 (d) 47
  27. 27.What is the average of 37, 45, 39 and 27? (a) 36 (b) 37 (c) 39 (d) 38
  28. 28.What is the average of 39, 19, 37, 46 and 29? (a) 36 (b) 33 (c) 34 (d) 35
  29. 29.What is the average of all the whole numbers from 28 to 52? (a) 40 (b) 24 (c) 12 (d) 41
  30. 30.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 34? (a) 50 (b) 36 (c) 34 (d) 18
  31. 31.What is the average of 23, 30, 26 and 69? (a) 37 (b) 38 (c) 39 (d) 36
  32. 32.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 44 (b) 40 (c) 39 (d) 89
  33. 33.What is the average of 82, 75, 81, 79 and 58? (a) 77 (b) 74 (c) 76 (d) 75
  34. 34.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 22? (a) 24 (b) 22 (c) 32 (d) 12
  35. 35.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 50 (b) 32 (c) 24 (d) 38
  36. 36.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 17 (b) 16 (c) 29 (d) 30
  37. 37.What is the average of all the whole numbers from 43 to 71? (a) 28 (b) 14 (c) 58 (d) 57
  38. 38.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 37 (b) 56 (c) 29 (d) 77
  39. 39.What is the average of all the whole numbers from 10 to 20? (a) 5 (b) 10 (c) 15 (d) 16
  40. 40.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 49 (b) 63 (c) 34 (d) 20

Answer key

  1. 48
  2. 67
  3. 36
  4. 92
  5. 36
  6. 41
  7. 75
  8. 42
  9. 83
  10. 30
  11. 71
  12. 21
  13. 38
  14. 20
  15. 35
  16. 22
  17. 55
  18. 32
  19. 66
  20. 56
  21. 23
  22. 42
  23. 54
  24. 39
  25. 62
  26. 56
  27. 37
  28. 34
  29. 40
  30. 50
  31. 37
  32. 39
  33. 75
  34. 32
  35. 50
  36. 29
  37. 57
  38. 77
  39. 15
  40. 49

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