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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 653 · 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 52 runs in 6 matches. How many runs are needed in the next match to raise the average to 60? (a) 108 (b) 56 (c) 60 (d) 68
  2. 2.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 18 (b) 4 (c) 3 (d) 39
  3. 3.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 27 (b) 36 (c) 15 (d) 24
  4. 4.What is the average of 56, 67, 56 and 93? (a) 67 (b) 69 (c) 70 (d) 68
  5. 5.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 21 (b) 16 (c) 34 (d) 29
  6. 6.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 61? (a) 20 (b) 77 (c) 61 (d) 65
  7. 7.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 40 (b) 56 (c) 32 (d) 57
  8. 8.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 52 (b) 30 (c) 34 (d) 28
  9. 9.What is the average of all the whole numbers from 40 to 46? (a) 43 (b) 44 (c) 6 (d) 3
  10. 10.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 34 (b) 20 (c) 50 (d) 64
  11. 11.What is the average of all the whole numbers from 9 to 23? (a) 14 (b) 7 (c) 17 (d) 16
  12. 12.What is the average of 90, 75, 68 and 83? (a) 79 (b) 78 (c) 81 (d) 80
  13. 13.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 53 (b) 70 (c) 20 (d) 37
  14. 14.What is the average of all the whole numbers from 18 to 38? (a) 28 (b) 29 (c) 10 (d) 20
  15. 15.What is the average of all the whole numbers from 19 to 57? (a) 39 (b) 37 (c) 38 (d) 19
  16. 16.What is the average of 51, 51, 45, 32, 23 and 14? (a) 36 (b) 38 (c) 35 (d) 37
  17. 17.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 44? (a) 14 (b) 46 (c) 44 (d) 56
  18. 18.What is the average of all the whole numbers from 12 to 46? (a) 34 (b) 17 (c) 29 (d) 30
  19. 19.What is the average of 11, 25, 37, 41 and 16? (a) 28 (b) 26 (c) 27 (d) 25
  20. 20.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 56? (a) 56 (b) 58 (c) 62 (d) 8
  21. 21.What is the average of 23, 18, 19, 12 and 28? (a) 25 (b) 20 (c) 19 (d) 21
  22. 22.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 52? (a) 36 (b) 58 (c) 52 (d) 82
  23. 23.What is the average of 73, 55, 49, 48, 56 and 91? (a) 62 (b) 64 (c) 63 (d) 61
  24. 24.What is the average of all the whole numbers from 8 to 40? (a) 25 (b) 16 (c) 32 (d) 24
  25. 25.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 37 (b) 24 (c) 30 (d) 17
  26. 26.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 24 (b) 46 (c) 88 (d) 66
  27. 27.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 26? (a) 44 (b) 26 (c) 24 (d) 32
  28. 28.What is the average of 50, 62, 55, 68 and 50? (a) 58 (b) 56 (c) 59 (d) 57
  29. 29.What is the average of all the whole numbers from 56 to 88? (a) 16 (b) 73 (c) 72 (d) 32
  30. 30.A batter has an average of 50 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 104 (b) 56 (c) 62 (d) 54
  31. 31.What is the average of all the whole numbers from 54 to 70? (a) 62 (b) 16 (c) 63 (d) 8
  32. 32.What is the average of 16, 37, 42 and 21? (a) 29 (b) 30 (c) 28 (d) 31
  33. 33.What is the average of 65, 54, 56, 67, 50 and 26? (a) 55 (b) 52 (c) 54 (d) 53
  34. 34.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 30? (a) 30 (b) 32 (c) 38 (d) 54
  35. 35.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 25 (b) 53 (c) 13 (d) 14
  36. 36.A batter has an average of 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 38 (b) 27 (c) 59 (d) 35
  37. 37.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 89 (b) 77 (c) 47 (d) 35
  38. 38.What is the average of 22, 35, 36 and 39? (a) 44 (b) 34 (c) 32 (d) 33
  39. 39.What is the average of all the whole numbers from 33 to 67? (a) 17 (b) 51 (c) 34 (d) 50
  40. 40.What is the average of 45, 32, 42, 39 and 22? (a) 37 (b) 45 (c) 35 (d) 36

Answer key

  1. 108
  2. 3
  3. 36
  4. 68
  5. 34
  6. 77
  7. 56
  8. 52
  9. 43
  10. 50
  11. 16
  12. 79
  13. 53
  14. 28
  15. 38
  16. 36
  17. 56
  18. 29
  19. 26
  20. 62
  21. 20
  22. 82
  23. 62
  24. 24
  25. 37
  26. 66
  27. 44
  28. 57
  29. 72
  30. 104
  31. 62
  32. 29
  33. 53
  34. 54
  35. 13
  36. 59
  37. 77
  38. 33
  39. 50
  40. 36

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