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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 790 · 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 5 numbers is 44. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 25 (b) 24 (c) 44 (d) 93
  2. 2.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 41 (c) 54 (d) 83
  3. 3.What is the average of 40, 60, 54, 62, 48 and 66? (a) 54 (b) 55 (c) 56 (d) 66
  4. 4.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 44 (b) 45 (c) 43 (d) 24
  5. 5.What is the average of 44, 25, 41 and 34? (a) 35 (b) 48 (c) 37 (d) 36
  6. 6.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 30? (a) 35 (b) 75 (c) 50 (d) 30
  7. 7.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 15 (b) 16 (c) 28 (d) 29
  8. 8.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 20 (b) 55 (c) 39 (d) 74
  9. 9.What is the average of 22, 16, 15, 13 and 69? (a) 28 (b) 29 (c) 26 (d) 27
  10. 10.What is the average of 63, 60, 73 and 88? (a) 72 (b) 71 (c) 70 (d) 73
  11. 11.What is the average of 72, 93, 91 and 64? (a) 80 (b) 82 (c) 81 (d) 79
  12. 12.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 22 (b) 16 (c) 15 (d) 45
  13. 13.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 48 (b) 10 (c) 9 (d) 23
  14. 14.What is the average of 78, 73, 64 and 49? (a) 65 (b) 67 (c) 88 (d) 66
  15. 15.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 35 (b) 15 (c) 67 (d) 47
  16. 16.What is the average of all the whole numbers from 60 to 98? (a) 80 (b) 19 (c) 38 (d) 79
  17. 17.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 21 (b) 33 (c) 38 (d) 16
  18. 18.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 25 (c) 35 (d) 50
  19. 19.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 17 (b) 30 (c) 36 (d) 11
  20. 20.What is the average of all the whole numbers from 6 to 38? (a) 22 (b) 16 (c) 23 (d) 32
  21. 21.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 46 (b) 57 (c) 20 (d) 31
  22. 22.What is the average of 49, 52, 45, 49, 44 and 61? (a) 60 (b) 50 (c) 51 (d) 49
  23. 23.What is the average of all the whole numbers from 54 to 74? (a) 20 (b) 65 (c) 64 (d) 10
  24. 24.What is the average of all the whole numbers from 14 to 40? (a) 26 (b) 13 (c) 27 (d) 28
  25. 25.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 19 (b) 42 (c) 4 (d) 3
  26. 26.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 28 (b) 57 (c) 71 (d) 50
  27. 27.A batter has an average of 60 runs in 7 matches. How many runs are needed in the next match to raise the average to 65? (a) 40 (b) 70 (c) 100 (d) 65
  28. 28.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 15 (b) 49 (c) 40 (d) 37
  29. 29.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) 80 (b) 18 (c) 19 (d) 38
  30. 30.What is the average of 25, 45, 40 and 22? (a) 32 (b) 33 (c) 44 (d) 34
  31. 31.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 49 (b) 47 (c) 8 (d) 53
  32. 32.What is the average of all the whole numbers from 33 to 43? (a) 5 (b) 38 (c) 10 (d) 39
  33. 33.What is the average of 51, 58, 48, 50, 59 and 112? (a) 64 (b) 65 (c) 63 (d) 62
  34. 34.What is the average of all the whole numbers from 60 to 70? (a) 66 (b) 5 (c) 65 (d) 10
  35. 35.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 41 (b) 94 (c) 40 (d) 46
  36. 36.What is the average of all the whole numbers from 21 to 35? (a) 29 (b) 14 (c) 28 (d) 7
  37. 37.What is the average of all the whole numbers from 5 to 31? (a) 26 (b) 19 (c) 18 (d) 13
  38. 38.What is the average of all the whole numbers from 20 to 36? (a) 8 (b) 29 (c) 28 (d) 16
  39. 39.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 25? (a) 10 (b) 25 (c) 33 (d) 27
  40. 40.What is the average of 57, 36, 51, 34, 42 and 44? (a) 43 (b) 46 (c) 45 (d) 44

Answer key

  1. 24
  2. 83
  3. 55
  4. 44
  5. 36
  6. 75
  7. 29
  8. 55
  9. 27
  10. 71
  11. 80
  12. 15
  13. 9
  14. 66
  15. 47
  16. 79
  17. 33
  18. 50
  19. 36
  20. 22
  21. 46
  22. 50
  23. 64
  24. 27
  25. 3
  26. 71
  27. 100
  28. 49
  29. 18
  30. 33
  31. 53
  32. 38
  33. 63
  34. 65
  35. 40
  36. 28
  37. 18
  38. 28
  39. 33
  40. 44

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