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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 872 · 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 47 runs in 6 matches. How many runs are needed in the next match to raise the average to 50? (a) 68 (b) 53 (c) 50 (d) 21
  2. 2.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 24 (b) 25 (c) 55 (d) 27
  3. 3.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 43? (a) 45 (b) 43 (c) 51 (d) 10
  4. 4.What is the average of all the whole numbers from 42 to 52? (a) 47 (b) 5 (c) 48 (d) 10
  5. 5.A batter has an average of 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 55 (b) 50 (c) 30 (d) 75
  6. 6.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 32 (b) 5 (c) 6 (d) 15
  7. 7.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 37? (a) 42 (b) 73 (c) 43 (d) 37
  8. 8.What is the average of all the whole numbers from 42 to 72? (a) 30 (b) 58 (c) 15 (d) 57
  9. 9.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 54 (b) 13 (c) 26 (d) 12
  10. 10.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 55 (b) 80 (c) 41 (d) 16
  11. 11.What is the average of 48, 38, 27 and 47? (a) 39 (b) 40 (c) 42 (d) 41
  12. 12.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 28? (a) 54 (b) 34 (c) 28 (d) 76
  13. 13.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 21 (b) 27 (c) 7 (d) 41
  14. 14.What is the average of all the whole numbers from 16 to 26? (a) 22 (b) 5 (c) 10 (d) 21
  15. 15.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 26? (a) 38 (b) 14 (c) 26 (d) 28
  16. 16.What is the average of 85, 65, 66, 57, 84 and 75? (a) 71 (b) 73 (c) 74 (d) 72
  17. 17.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 56 (c) 49 (d) 91
  18. 18.What is the average of all the whole numbers from 52 to 70? (a) 61 (b) 9 (c) 18 (d) 62
  19. 19.A batter has an average of 53 runs in 8 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 63 (c) 45 (d) 98
  20. 20.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 34? (a) 88 (b) 34 (c) 40 (d) 60
  21. 21.What is the average of all the whole numbers from 21 to 41? (a) 32 (b) 10 (c) 31 (d) 20
  22. 22.What is the average of all the whole numbers from 11 to 35? (a) 23 (b) 22 (c) 24 (d) 12
  23. 23.What is the average of all the whole numbers from 35 to 55? (a) 10 (b) 46 (c) 45 (d) 20
  24. 24.What is the average of 76, 74, 76, 72 and 67? (a) 73 (b) 75 (c) 74 (d) 72
  25. 25.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 35 (b) 28 (c) 72 (d) 27
  26. 26.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 49? (a) 51 (b) 55 (c) 49 (d) 8
  27. 27.A batter has an average of 36 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 86 (c) 46 (d) 50
  28. 28.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 49 (b) 16 (c) 94 (d) 61
  29. 29.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 51 (c) 37 (d) 18
  30. 30.What is the average of all the whole numbers from 41 to 51? (a) 47 (b) 5 (c) 46 (d) 10
  31. 31.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 84 (b) 30 (c) 60 (d) 66
  32. 32.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 67? (a) 67 (b) 32 (c) 75 (d) 91
  33. 33.What is the average of 53, 43, 33 and 23? (a) 40 (b) 37 (c) 39 (d) 38
  34. 34.What is the average of 64, 66, 73, 84, 72 and 109? (a) 80 (b) 78 (c) 79 (d) 77
  35. 35.What is the average of 76, 68, 62, 51, 73 and 48? (a) 63 (b) 64 (c) 62 (d) 65
  36. 36.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 48 (b) 45 (c) 57 (d) 15
  37. 37.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 45 (b) 88 (c) 10 (d) 53
  38. 38.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 29 (b) 62 (c) 13 (d) 14
  39. 39.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 18 (b) 23 (c) 17 (d) 48
  40. 40.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 12 (b) 8 (c) 23 (d) 19

Answer key

  1. 68
  2. 24
  3. 51
  4. 47
  5. 75
  6. 5
  7. 73
  8. 57
  9. 12
  10. 55
  11. 40
  12. 76
  13. 27
  14. 21
  15. 38
  16. 72
  17. 91
  18. 61
  19. 98
  20. 88
  21. 31
  22. 23
  23. 45
  24. 73
  25. 27
  26. 55
  27. 86
  28. 61
  29. 51
  30. 46
  31. 84
  32. 91
  33. 38
  34. 78
  35. 63
  36. 57
  37. 53
  38. 13
  39. 17
  40. 19

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