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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 51 · 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 36 runs in 9 matches. How many runs are needed in the next match to raise the average to 42? (a) 60 (b) 48 (c) 96 (d) 42
  2. 2.What is the average of 57, 52, 43 and 40? (a) 49 (b) 48 (c) 64 (d) 47
  3. 3.What is the average of 76, 88, 66, 80 and 70? (a) 77 (b) 76 (c) 75 (d) 95
  4. 4.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 20 (c) 31 (d) 43
  5. 5.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 33 (b) 40 (c) 65 (d) 8
  6. 6.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 57 (b) 35 (c) 28 (d) 56
  7. 7.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 28? (a) 28 (b) 24 (c) 46 (d) 34
  8. 8.A batter has an average of 39 runs in 6 matches. How many runs are needed in the next match to raise the average to 47? (a) 95 (b) 55 (c) 47 (d) 56
  9. 9.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 32 (b) 69 (c) 41 (d) 78
  10. 10.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 24 (b) 73 (c) 59 (d) 38
  11. 11.What is the average of 17, 7, 33, 16 and 27? (a) 21 (b) 25 (c) 19 (d) 20
  12. 12.What is the average of 48, 34, 48, 29, 45 and 6? (a) 42 (b) 34 (c) 35 (d) 36
  13. 13.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 74 (c) 48 (d) 42
  14. 14.A batter has an average of 60 runs in 5 matches. How many runs are needed in the next match to raise the average to 68? (a) 76 (b) 108 (c) 68 (d) 48
  15. 15.What is the average of 33, 36, 35 and 72? (a) 45 (b) 43 (c) 44 (d) 46
  16. 16.What is the average of all the whole numbers from 59 to 79? (a) 70 (b) 10 (c) 20 (d) 69
  17. 17.What is the average of 46, 38, 38, 23 and 10? (a) 30 (b) 31 (c) 32 (d) 33
  18. 18.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 31 (b) 86 (c) 42 (d) 30
  19. 19.A batter has an average of 52 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 67 (b) 58 (c) 15 (d) 55
  20. 20.What is the average of all the whole numbers from 27 to 41? (a) 14 (b) 35 (c) 34 (d) 7
  21. 21.What is the average of all the whole numbers from 12 to 32? (a) 23 (b) 20 (c) 10 (d) 22
  22. 22.What is the average of 51, 50, 30 and 49? (a) 45 (b) 60 (c) 44 (d) 46
  23. 23.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 53 (b) 44 (c) 41 (d) 15
  24. 24.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 64 (c) 74 (d) 20
  25. 25.What is the average of all the whole numbers from 17 to 23? (a) 21 (b) 6 (c) 20 (d) 3
  26. 26.What is the average of 29, 27, 23, 21 and 80? (a) 36 (b) 37 (c) 35 (d) 45
  27. 27.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 19 (b) 18 (c) 80 (d) 38
  28. 28.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 53 (b) 69 (c) 45 (d) 32
  29. 29.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 75 (b) 30 (c) 50 (d) 95
  30. 30.What is the average of all the whole numbers from 11 to 37? (a) 13 (b) 25 (c) 24 (d) 26
  31. 31.What is the average of all the whole numbers from 22 to 34? (a) 29 (b) 6 (c) 28 (d) 12
  32. 32.What is the average of 62, 46, 64, 71, 58 and 65? (a) 62 (b) 63 (c) 61 (d) 60
  33. 33.What is the average of 50, 62, 48, 48, 44 and 60? (a) 52 (b) 53 (c) 54 (d) 51
  34. 34.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 29 (b) 37 (c) 56 (d) 10
  35. 35.A batter has an average of 20 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 36 (b) 56 (c) 76 (d) 28
  36. 36.What is the average of 42, 40, 21 and 25? (a) 32 (b) 31 (c) 34 (d) 33
  37. 37.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 24 (b) 29 (c) 37 (d) 16
  38. 38.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 32? (a) 18 (b) 35 (c) 47 (d) 32
  39. 39.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 64 (b) 14 (c) 30 (d) 15
  40. 40.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 21 (b) 17 (c) 43 (d) 18

Answer key

  1. 96
  2. 48
  3. 76
  4. 43
  5. 40
  6. 56
  7. 46
  8. 95
  9. 69
  10. 59
  11. 20
  12. 35
  13. 74
  14. 108
  15. 44
  16. 69
  17. 31
  18. 30
  19. 67
  20. 34
  21. 22
  22. 45
  23. 53
  24. 74
  25. 20
  26. 36
  27. 18
  28. 69
  29. 75
  30. 24
  31. 28
  32. 61
  33. 52
  34. 37
  35. 76
  36. 32
  37. 37
  38. 47
  39. 14
  40. 17

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