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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 685 · 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 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 50 (c) 24 (d) 62
  2. 2.What is the average of all the whole numbers from 36 to 64? (a) 50 (b) 51 (c) 28 (d) 14
  3. 3.What is the average of 46, 45, 66 and 51? (a) 54 (b) 53 (c) 51 (d) 52
  4. 4.What is the average of 69, 51, 41, 52, 64 and 53? (a) 56 (b) 55 (c) 66 (d) 54
  5. 5.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 59 (b) 18 (c) 45 (d) 43
  6. 6.What is the average of 16, 21, 9, 38, 28 and 26? (a) 22 (b) 25 (c) 23 (d) 24
  7. 7.What is the average of 25, 38, 20 and 21? (a) 25 (b) 26 (c) 27 (d) 28
  8. 8.A batter has an average of 56 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 72 (b) 16 (c) 64 (d) 60
  9. 9.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 29 (b) 17 (c) 42 (d) 30
  10. 10.A batter has an average of 49 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 53 (c) 12 (d) 61
  11. 11.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 97 (b) 21 (c) 68 (d) 50
  12. 12.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 48 (b) 30 (c) 57 (d) 21
  13. 13.What is the average of 41, 24, 25, 30 and 55? (a) 37 (b) 34 (c) 36 (d) 35
  14. 14.What is the average of 74, 66, 80, 59 and 66? (a) 68 (b) 70 (c) 69 (d) 71
  15. 15.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 28 (b) 43 (c) 7 (d) 22
  16. 16.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 24 (b) 6 (c) 19 (d) 37
  17. 17.What is the average of 70, 76, 49 and 49? (a) 62 (b) 60 (c) 61 (d) 63
  18. 18.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 23 (b) 18 (c) 28 (d) 13
  19. 19.What is the average of all the whole numbers from 12 to 34? (a) 11 (b) 24 (c) 22 (d) 23
  20. 20.What is the average of all the whole numbers from 27 to 51? (a) 39 (b) 24 (c) 40 (d) 12
  21. 21.What is the average of all the whole numbers from 44 to 62? (a) 54 (b) 53 (c) 18 (d) 9
  22. 22.What is the average of 68, 60, 86 and 78? (a) 75 (b) 72 (c) 73 (d) 74
  23. 23.What is the average of 7, 34, 7, 15, 35 and 34? (a) 24 (b) 22 (c) 23 (d) 21
  24. 24.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 80 (c) 107 (d) 43
  25. 25.What is the average of 68, 68, 70, 77 and 42? (a) 64 (b) 67 (c) 66 (d) 65
  26. 26.A batter has an average of 40 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 100 (b) 52 (c) 60 (d) 46
  27. 27.What is the average of all the whole numbers from 48 to 78? (a) 64 (b) 15 (c) 63 (d) 30
  28. 28.A batter has an average of 50 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 80 (c) 130 (d) 66
  29. 29.A batter has an average of 35 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 107 (c) 51 (d) 72
  30. 30.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 40 (b) 65 (c) 66 (d) 35
  31. 31.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 32 (c) 74 (d) 54
  32. 32.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 46 (b) 25 (c) 87 (d) 66
  33. 33.What is the average of 17, 26, 38 and 11? (a) 23 (b) 25 (c) 24 (d) 22
  34. 34.What is the average of 72, 53, 75 and 56? (a) 65 (b) 64 (c) 66 (d) 63
  35. 35.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 42? (a) 12 (b) 42 (c) 52 (d) 44
  36. 36.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 62 (b) 44 (c) 21 (d) 85
  37. 37.What is the average of 32, 19, 29 and 48? (a) 33 (b) 31 (c) 32 (d) 34
  38. 38.What is the average of all the whole numbers from 11 to 25? (a) 7 (b) 18 (c) 14 (d) 19
  39. 39.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 81 (b) 34 (c) 35 (d) 40
  40. 40.What is the average of all the whole numbers from 55 to 67? (a) 61 (b) 62 (c) 12 (d) 6

Answer key

  1. 62
  2. 50
  3. 52
  4. 55
  5. 59
  6. 23
  7. 26
  8. 72
  9. 42
  10. 61
  11. 68
  12. 48
  13. 35
  14. 69
  15. 28
  16. 24
  17. 61
  18. 28
  19. 23
  20. 39
  21. 53
  22. 73
  23. 22
  24. 107
  25. 65
  26. 100
  27. 63
  28. 130
  29. 107
  30. 65
  31. 74
  32. 66
  33. 23
  34. 64
  35. 52
  36. 62
  37. 32
  38. 18
  39. 34
  40. 61

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