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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 202 · 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.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 30 (b) 56 (c) 58 (d) 32
  2. 2.What is the average of all the whole numbers from 32 to 48? (a) 41 (b) 40 (c) 16 (d) 8
  3. 3.A batter has an average of 58 runs in 6 matches. How many runs are needed in the next match to raise the average to 64? (a) 42 (b) 70 (c) 64 (d) 100
  4. 4.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 61 (b) 50 (c) 21 (d) 32
  5. 5.What is the average of all the whole numbers from 13 to 49? (a) 32 (b) 18 (c) 31 (d) 36
  6. 6.What is the average of 55, 34, 47, 53, 50 and 43? (a) 46 (b) 48 (c) 47 (d) 49
  7. 7.A batter has an average of 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 70 (c) 45 (d) 101
  8. 8.What is the average of 76, 67, 70, 68, 71 and 98? (a) 75 (b) 76 (c) 74 (d) 90
  9. 9.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 42 (b) 28 (c) 54 (d) 16
  10. 10.What is the average of 25, 34, 26 and 31? (a) 30 (b) 28 (c) 31 (d) 29
  11. 11.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 26? (a) 25 (b) 46 (c) 26 (d) 31
  12. 12.What is the average of all the whole numbers from 10 to 26? (a) 8 (b) 19 (c) 16 (d) 18
  13. 13.What is the average of 62, 64, 45, 59 and 30? (a) 53 (b) 52 (c) 65 (d) 51
  14. 14.What is the average of all the whole numbers from 7 to 31? (a) 12 (b) 24 (c) 19 (d) 20
  15. 15.What is the average of 55, 54, 48 and 87? (a) 60 (b) 62 (c) 63 (d) 61
  16. 16.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 24 (b) 11 (c) 1 (d) 2
  17. 17.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 13 (b) 14 (c) 28 (d) 61
  18. 18.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 24 (b) 16 (c) 12 (d) 20
  19. 19.What is the average of 72, 72, 77, 66 and 93? (a) 75 (b) 77 (c) 95 (d) 76
  20. 20.What is the average of all the whole numbers from 49 to 83? (a) 34 (b) 17 (c) 67 (d) 66
  21. 21.What is the average of all the whole numbers from 11 to 35? (a) 24 (b) 12 (c) 22 (d) 23
  22. 22.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 86 (b) 50 (c) 8 (d) 44
  23. 23.What is the average of all the whole numbers from 42 to 54? (a) 49 (b) 12 (c) 6 (d) 48
  24. 24.What is the average of 32, 16, 30 and 10? (a) 23 (b) 24 (c) 21 (d) 22
  25. 25.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 50? (a) 58 (b) 82 (c) 40 (d) 50
  26. 26.What is the average of all the whole numbers from 53 to 89? (a) 72 (b) 18 (c) 36 (d) 71
  27. 27.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 42? (a) 42 (b) 46 (c) 58 (d) 20
  28. 28.What is the average of 31, 53, 53, 51 and 42? (a) 45 (b) 46 (c) 48 (d) 47
  29. 29.What is the average of 46, 55, 71, 44, 54 and 72? (a) 58 (b) 59 (c) 56 (d) 57
  30. 30.What is the average of 46, 39, 52, 55, 48 and 24? (a) 43 (b) 44 (c) 46 (d) 45
  31. 31.What is the average of all the whole numbers from 19 to 41? (a) 11 (b) 22 (c) 30 (d) 31
  32. 32.What is the average of 83, 62, 64, 86, 84 and 83? (a) 76 (b) 79 (c) 77 (d) 78
  33. 33.What is the average of 37, 41, 19 and 35? (a) 34 (b) 44 (c) 32 (d) 33
  34. 34.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 22 (b) 47 (c) 2 (d) 1
  35. 35.What is the average of all the whole numbers from 39 to 61? (a) 11 (b) 50 (c) 22 (d) 51
  36. 36.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 46 (b) 12 (c) 22 (d) 13
  37. 37.What is the average of 35, 41, 25 and 3? (a) 26 (b) 28 (c) 27 (d) 25
  38. 38.What is the average of all the whole numbers from 17 to 31? (a) 7 (b) 25 (c) 24 (d) 14
  39. 39.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 61 (b) 20 (c) 33 (d) 48
  40. 40.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 32 (c) 24 (d) 50

Answer key

  1. 58
  2. 40
  3. 100
  4. 50
  5. 31
  6. 47
  7. 101
  8. 75
  9. 42
  10. 29
  11. 46
  12. 18
  13. 52
  14. 19
  15. 61
  16. 1
  17. 13
  18. 24
  19. 76
  20. 66
  21. 23
  22. 50
  23. 48
  24. 22
  25. 82
  26. 71
  27. 58
  28. 46
  29. 57
  30. 44
  31. 30
  32. 77
  33. 33
  34. 1
  35. 50
  36. 12
  37. 26
  38. 24
  39. 48
  40. 50

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