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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 508 · 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 51 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 70 (b) 58 (c) 121 (d) 65
  2. 2.What is the average of all the whole numbers from 31 to 47? (a) 16 (b) 8 (c) 40 (d) 39
  3. 3.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 25 (b) 51 (c) 28 (d) 48
  4. 4.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 60 (c) 72 (d) 24
  5. 5.What is the average of 51, 71, 70 and 48? (a) 59 (b) 80 (c) 61 (d) 60
  6. 6.What is the average of 86, 92, 92 and 42? (a) 78 (b) 79 (c) 104 (d) 77
  7. 7.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 20 (b) 35 (c) 55 (d) 40
  8. 8.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 89 (b) 21 (c) 64 (d) 46
  9. 9.What is the average of 80, 74, 65, 62 and 94? (a) 74 (b) 75 (c) 76 (d) 77
  10. 10.A batter has an average of 58 runs in 7 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 106 (c) 70 (d) 48
  11. 11.What is the average of all the whole numbers from 17 to 47? (a) 30 (b) 15 (c) 32 (d) 33
  12. 12.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 39 (b) 6 (c) 18 (d) 7
  13. 13.What is the average of all the whole numbers from 9 to 15? (a) 13 (b) 12 (c) 6 (d) 3
  14. 14.What is the average of 47, 49, 51 and 41? (a) 49 (b) 47 (c) 46 (d) 48
  15. 15.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 51 (b) 48 (c) 27 (d) 24
  16. 16.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 13 (b) 33 (c) 22 (d) 24
  17. 17.What is the average of 60, 70, 75, 64 and 91? (a) 73 (b) 72 (c) 71 (d) 90
  18. 18.What is the average of 31, 32, 28 and 61? (a) 39 (b) 38 (c) 37 (d) 40
  19. 19.What is the average of 66, 68, 80 and 90? (a) 78 (b) 75 (c) 76 (d) 77
  20. 20.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 15 (b) 27 (c) 28 (d) 14
  21. 21.What is the average of 73, 75, 56, 83, 71 and 62? (a) 71 (b) 69 (c) 70 (d) 84
  22. 22.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 40? (a) 42 (b) 40 (c) 16 (d) 54
  23. 23.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 14 (b) 88 (c) 57 (d) 45
  24. 24.What is the average of all the whole numbers from 58 to 80? (a) 69 (b) 11 (c) 70 (d) 22
  25. 25.What is the average of 70, 82, 66, 78 and 104? (a) 80 (b) 81 (c) 100 (d) 79
  26. 26.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 70 (b) 32 (c) 39 (d) 95
  27. 27.What is the average of all the whole numbers from 22 to 28? (a) 3 (b) 25 (c) 6 (d) 26
  28. 28.What is the average of all the whole numbers from 22 to 42? (a) 32 (b) 20 (c) 10 (d) 33
  29. 29.What is the average of 65, 54, 51, 61 and 99? (a) 68 (b) 65 (c) 67 (d) 66
  30. 30.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 17 (b) 31 (c) 16 (d) 67
  31. 31.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 36 (c) 54 (d) 78
  32. 32.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 53? (a) 53 (b) 95 (c) 48 (d) 59
  33. 33.What is the average of 65, 50, 59, 69 and 72? (a) 63 (b) 62 (c) 64 (d) 65
  34. 34.What is the average of 59, 66, 70 and 73? (a) 69 (b) 67 (c) 66 (d) 68
  35. 35.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 36 (c) 27 (d) 57
  36. 36.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 12 (b) 33 (c) 30 (d) 39
  37. 37.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 26? (a) 20 (b) 26 (c) 31 (d) 41
  38. 38.What is the average of 66, 52, 70 and 56? (a) 63 (b) 60 (c) 61 (d) 62
  39. 39.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 67 (b) 32 (c) 15 (d) 14
  40. 40.What is the average of all the whole numbers from 38 to 54? (a) 46 (b) 16 (c) 47 (d) 8

Answer key

  1. 121
  2. 39
  3. 48
  4. 72
  5. 60
  6. 78
  7. 55
  8. 64
  9. 75
  10. 106
  11. 32
  12. 6
  13. 12
  14. 47
  15. 48
  16. 33
  17. 72
  18. 38
  19. 76
  20. 27
  21. 70
  22. 54
  23. 57
  24. 69
  25. 80
  26. 95
  27. 25
  28. 32
  29. 66
  30. 16
  31. 78
  32. 95
  33. 63
  34. 67
  35. 57
  36. 39
  37. 41
  38. 61
  39. 14
  40. 46

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