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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 582 · 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 43? (a) 26 (b) 36 (c) 18 (d) 25
  2. 2.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 66? (a) 66 (b) 74 (c) 138 (d) 80
  3. 3.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) 36 (c) 19 (d) 33
  4. 4.What is the average of 72, 92, 68, 85 and 83? (a) 80 (b) 100 (c) 81 (d) 79
  5. 5.What is the average of 34, 24, 28, 19, 36 and 33? (a) 29 (b) 30 (c) 28 (d) 31
  6. 6.A batter has an average of 32 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 44 (b) 92 (c) 38 (d) 60
  7. 7.What is the average of 53, 30, 31 and 38? (a) 37 (b) 40 (c) 38 (d) 39
  8. 8.What is the average of 42, 54, 46, 39, 42 and 71? (a) 50 (b) 49 (c) 51 (d) 48
  9. 9.A batter has an average of 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 58? (a) 63 (b) 58 (c) 30 (d) 83
  10. 10.What is the average of all the whole numbers from 31 to 41? (a) 5 (b) 37 (c) 36 (d) 10
  11. 11.What is the average of 30, 5, 32, 14, 14 and 25? (a) 24 (b) 20 (c) 19 (d) 21
  12. 12.What is the average of all the whole numbers from 34 to 56? (a) 11 (b) 45 (c) 22 (d) 46
  13. 13.What is the average of all the whole numbers from 48 to 84? (a) 18 (b) 66 (c) 36 (d) 67
  14. 14.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 61 (b) 73 (c) 55 (d) 24
  15. 15.What is the average of all the whole numbers from 22 to 48? (a) 36 (b) 13 (c) 35 (d) 26
  16. 16.What is the average of all the whole numbers from 57 to 69? (a) 6 (b) 12 (c) 64 (d) 63
  17. 17.What is the average of 55, 81, 66 and 62? (a) 88 (b) 67 (c) 66 (d) 65
  18. 18.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 35 (b) 47 (c) 77 (d) 89
  19. 19.What is the average of all the whole numbers from 47 to 57? (a) 10 (b) 53 (c) 52 (d) 5
  20. 20.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 62? (a) 62 (b) 92 (c) 36 (d) 68
  21. 21.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 47 (b) 65 (c) 91 (d) 21
  22. 22.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 53 (b) 68 (c) 25 (d) 48
  23. 23.What is the average of 75, 68, 68, 48, 53 and 66? (a) 62 (b) 63 (c) 65 (d) 64
  24. 24.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 18 (b) 35 (c) 23 (d) 6
  25. 25.A batter has an average of 37 runs in 6 matches. How many runs are needed in the next match to raise the average to 44? (a) 49 (b) 44 (c) 86 (d) 51
  26. 26.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 11 (b) 15 (c) 19 (d) 23
  27. 27.What is the average of all the whole numbers from 24 to 44? (a) 34 (b) 20 (c) 10 (d) 35
  28. 28.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 10 (b) 26 (c) 14 (d) 22
  29. 29.What is the average of all the whole numbers from 45 to 61? (a) 8 (b) 54 (c) 16 (d) 53
  30. 30.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 43 (b) 48 (c) 35 (d) 75
  31. 31.What is the average of all the whole numbers from 25 to 33? (a) 30 (b) 4 (c) 29 (d) 8
  32. 32.What is the average of 72, 72, 57 and 67? (a) 66 (b) 69 (c) 68 (d) 67
  33. 33.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 38 (b) 40 (c) 39 (d) 21
  34. 34.What is the average of all the whole numbers from 52 to 64? (a) 59 (b) 12 (c) 6 (d) 58
  35. 35.What is the average of 22, 37, 26, 48 and 47? (a) 36 (b) 35 (c) 45 (d) 37
  36. 36.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 3 (b) 12 (c) 26 (d) 2
  37. 37.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 52 (c) 15 (d) 43
  38. 38.What is the average of 46, 56, 65 and 73? (a) 59 (b) 80 (c) 61 (d) 60
  39. 39.What is the average of all the whole numbers from 11 to 45? (a) 17 (b) 34 (c) 29 (d) 28
  40. 40.What is the average of 62, 57, 42, 52, 59 and 34? (a) 50 (b) 53 (c) 52 (d) 51

Answer key

  1. 25
  2. 138
  3. 33
  4. 80
  5. 29
  6. 92
  7. 38
  8. 49
  9. 83
  10. 36
  11. 20
  12. 45
  13. 66
  14. 73
  15. 35
  16. 63
  17. 66
  18. 77
  19. 52
  20. 92
  21. 65
  22. 68
  23. 63
  24. 23
  25. 86
  26. 23
  27. 34
  28. 22
  29. 53
  30. 75
  31. 29
  32. 67
  33. 39
  34. 58
  35. 36
  36. 2
  37. 52
  38. 60
  39. 28
  40. 51

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