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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 568 · 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.What is the average of 29, 12, 11 and 28? (a) 21 (b) 19 (c) 22 (d) 20
  2. 2.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 30 (c) 50 (d) 32
  3. 3.What is the average of 73, 90, 85 and 64? (a) 104 (b) 78 (c) 77 (d) 79
  4. 4.What is the average of 73, 74, 61, 58, 69 and 61? (a) 67 (b) 68 (c) 66 (d) 65
  5. 5.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 24 (b) 81 (c) 39 (d) 25
  6. 6.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) 16 (c) 38 (d) 33
  7. 7.What is the average of 39, 54, 59, 35, 56 and 57? (a) 60 (b) 49 (c) 51 (d) 50
  8. 8.What is the average of 80, 52, 62, 52 and 89? (a) 68 (b) 66 (c) 69 (d) 67
  9. 9.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 9 (b) 8 (c) 30 (d) 14
  10. 10.What is the average of all the whole numbers from 20 to 32? (a) 12 (b) 6 (c) 27 (d) 26
  11. 11.What is the average of all the whole numbers from 35 to 59? (a) 24 (b) 48 (c) 12 (d) 47
  12. 12.A batter has an average of 39 runs in 8 matches. How many runs are needed in the next match to raise the average to 44? (a) 45 (b) 49 (c) 84 (d) 44
  13. 13.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 22? (a) 22 (b) 18 (c) 38 (d) 24
  14. 14.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 99 (b) 47 (c) 22 (d) 23
  15. 15.What is the average of 18, 16, 16, 29, 18 and 23? (a) 21 (b) 24 (c) 19 (d) 20
  16. 16.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 35 (b) 66 (c) 51 (d) 20
  17. 17.A batter has an average of 55 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 61 (b) 58 (c) 24 (d) 79
  18. 18.What is the average of 28, 15, 19, 36 and 17? (a) 25 (b) 24 (c) 23 (d) 22
  19. 19.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 46 (b) 31 (c) 32 (d) 97
  20. 20.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) 3 (b) 39 (c) 18 (d) 4
  21. 21.What is the average of 37, 50, 44, 58 and 41? (a) 45 (b) 46 (c) 48 (d) 47
  22. 22.What is the average of 37, 45, 55, 35, 57 and 71? (a) 51 (b) 50 (c) 49 (d) 60
  23. 23.What is the average of all the whole numbers from 15 to 25? (a) 5 (b) 21 (c) 10 (d) 20
  24. 24.What is the average of all the whole numbers from 16 to 40? (a) 24 (b) 29 (c) 12 (d) 28
  25. 25.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 24? (a) 8 (b) 26 (c) 30 (d) 24
  26. 26.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 35 (b) 53 (c) 74 (d) 46
  27. 27.What is the average of 40, 32, 43, 36 and 84? (a) 46 (b) 49 (c) 48 (d) 47
  28. 28.What is the average of 40, 65, 67 and 48? (a) 57 (b) 56 (c) 54 (d) 55
  29. 29.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 20 (b) 32 (c) 14 (d) 38
  30. 30.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 7 (b) 25 (c) 37 (d) 19
  31. 31.What is the average of all the whole numbers from 24 to 40? (a) 8 (b) 33 (c) 16 (d) 32
  32. 32.What is the average of 66, 70, 57, 63, 67 and 91? (a) 68 (b) 71 (c) 69 (d) 70
  33. 33.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 42 (b) 30 (c) 15 (d) 33
  34. 34.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 48 (b) 32 (c) 36 (d) 20
  35. 35.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 16 (b) 15 (c) 66 (d) 31
  36. 36.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 21 (b) 13 (c) 14 (d) 44
  37. 37.What is the average of 40, 57, 28, 35 and 55? (a) 45 (b) 44 (c) 43 (d) 42
  38. 38.What is the average of all the whole numbers from 14 to 30? (a) 16 (b) 8 (c) 22 (d) 23
  39. 39.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 106 (c) 63 (d) 105
  40. 40.What is the average of all the whole numbers from 12 to 52? (a) 32 (b) 40 (c) 33 (d) 20

Answer key

  1. 20
  2. 50
  3. 78
  4. 66
  5. 24
  6. 33
  7. 50
  8. 67
  9. 8
  10. 26
  11. 47
  12. 84
  13. 38
  14. 22
  15. 20
  16. 51
  17. 79
  18. 23
  19. 31
  20. 3
  21. 46
  22. 50
  23. 20
  24. 28
  25. 30
  26. 74
  27. 47
  28. 55
  29. 32
  30. 25
  31. 32
  32. 69
  33. 42
  34. 48
  35. 15
  36. 13
  37. 43
  38. 22
  39. 105
  40. 32

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