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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 532 · 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 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 41 (c) 32 (d) 57
  2. 2.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 12 (b) 15 (c) 23 (d) 4
  3. 3.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 10 (b) 42 (c) 50 (d) 44
  4. 4.What is the average of 84, 94, 80, 76, 87 and 53? (a) 80 (b) 81 (c) 78 (d) 79
  5. 5.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 55 (b) 11 (c) 10 (d) 25
  6. 6.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 29 (b) 30 (c) 32 (d) 65
  7. 7.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 49? (a) 63 (b) 51 (c) 49 (d) 16
  8. 8.A batter has an average of 42 runs in 7 matches. How many runs are needed in the next match to raise the average to 46? (a) 50 (b) 46 (c) 32 (d) 74
  9. 9.What is the average of 76, 56, 68, 59, 79 and 76? (a) 70 (b) 69 (c) 68 (d) 71
  10. 10.What is the average of all the whole numbers from 40 to 60? (a) 10 (b) 50 (c) 20 (d) 51
  11. 11.What is the average of 60, 74, 84, 80 and 67? (a) 72 (b) 75 (c) 74 (d) 73
  12. 12.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 29 (b) 28 (c) 69 (d) 34
  13. 13.What is the average of all the whole numbers from 51 to 75? (a) 12 (b) 63 (c) 24 (d) 64
  14. 14.What is the average of all the whole numbers from 28 to 64? (a) 36 (b) 46 (c) 18 (d) 47
  15. 15.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 50 (b) 40 (c) 85 (d) 95
  16. 16.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 12 (b) 15 (c) 11 (d) 31
  17. 17.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 38 (c) 86 (d) 60
  18. 18.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 61 (b) 59 (c) 67 (d) 10
  19. 19.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 13 (b) 22 (c) 29 (d) 20
  20. 20.What is the average of all the whole numbers from 34 to 68? (a) 52 (b) 34 (c) 51 (d) 17
  21. 21.What is the average of all the whole numbers from 22 to 40? (a) 18 (b) 9 (c) 32 (d) 31
  22. 22.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 60 (c) 61 (d) 36
  23. 23.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 92 (b) 24 (c) 68 (d) 48
  24. 24.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 74 (b) 28 (c) 39 (d) 63
  25. 25.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 56 (b) 79 (c) 37 (d) 30
  26. 26.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 40 (c) 48 (d) 16
  27. 27.What is the average of all the whole numbers from 36 to 42? (a) 3 (b) 6 (c) 39 (d) 40
  28. 28.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 34? (a) 37 (b) 52 (c) 21 (d) 34
  29. 29.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 45 (b) 37 (c) 32 (d) 61
  30. 30.What is the average of all the whole numbers from 43 to 65? (a) 11 (b) 55 (c) 22 (d) 54
  31. 31.What is the average of 34, 47, 42, 51, 39 and 63? (a) 45 (b) 47 (c) 46 (d) 48
  32. 32.What is the average of all the whole numbers from 32 to 62? (a) 15 (b) 30 (c) 47 (d) 48
  33. 33.What is the average of 84, 92, 90 and 54? (a) 81 (b) 79 (c) 82 (d) 80
  34. 34.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 33 (b) 67 (c) 27 (d) 26
  35. 35.What is the average of 17, 24, 28, 37 and 54? (a) 33 (b) 40 (c) 32 (d) 31
  36. 36.What is the average of 23, 32, 30 and 63? (a) 39 (b) 38 (c) 36 (d) 37
  37. 37.What is the average of 35, 39, 35 and 35? (a) 36 (b) 35 (c) 48 (d) 37
  38. 38.What is the average of 50, 44, 66, 43 and 87? (a) 59 (b) 60 (c) 58 (d) 57
  39. 39.What is the average of all the whole numbers from 8 to 26? (a) 16 (b) 17 (c) 18 (d) 9
  40. 40.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 41 (c) 42 (d) 71

Answer key

  1. 57
  2. 15
  3. 50
  4. 79
  5. 10
  6. 29
  7. 63
  8. 74
  9. 69
  10. 50
  11. 73
  12. 28
  13. 63
  14. 46
  15. 85
  16. 11
  17. 86
  18. 67
  19. 29
  20. 51
  21. 31
  22. 60
  23. 68
  24. 63
  25. 79
  26. 48
  27. 39
  28. 52
  29. 61
  30. 54
  31. 46
  32. 47
  33. 80
  34. 26
  35. 32
  36. 37
  37. 36
  38. 58
  39. 17
  40. 71

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