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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 593 · 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 all the whole numbers from 7 to 45? (a) 38 (b) 27 (c) 26 (d) 19
  2. 2.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 60 (b) 48 (c) 52 (d) 16
  3. 3.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 66 (c) 90 (d) 36
  4. 4.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 36 (b) 90 (c) 37 (d) 44
  5. 5.What is the average of 61, 55, 53, 66 and 65? (a) 60 (b) 75 (c) 61 (d) 59
  6. 6.What is the average of 25, 13, 19, 33, 17 and 31? (a) 22 (b) 24 (c) 25 (d) 23
  7. 7.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 42 (b) 38 (c) 5 (d) 75
  8. 8.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 64 (b) 30 (c) 73 (d) 39
  9. 9.What is the average of 50, 63, 66, 62, 52 and 25? (a) 55 (b) 54 (c) 53 (d) 52
  10. 10.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 50? (a) 54 (b) 24 (c) 70 (d) 50
  11. 11.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) 16 (b) 24 (c) 12 (d) 20
  12. 12.What is the average of 32, 30, 54, 45, 46 and 63? (a) 45 (b) 46 (c) 54 (d) 44
  13. 13.What is the average of all the whole numbers from 24 to 64? (a) 40 (b) 45 (c) 20 (d) 44
  14. 14.What is the average of 27, 10, 17 and 26? (a) 20 (b) 22 (c) 19 (d) 21
  15. 15.What is the average of 19, 11, 22 and 28? (a) 19 (b) 21 (c) 20 (d) 22
  16. 16.What is the average of all the whole numbers from 22 to 50? (a) 36 (b) 37 (c) 28 (d) 14
  17. 17.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 10 (b) 35 (c) 33 (d) 41
  18. 18.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 7 (b) 53 (c) 25 (d) 8
  19. 19.What is the average of 44, 36, 52, 35, 36 and 49? (a) 43 (b) 44 (c) 41 (d) 42
  20. 20.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 68 (b) 32 (c) 13 (d) 12
  21. 21.What is the average of 61, 44, 71, 46, 67 and 47? (a) 58 (b) 57 (c) 56 (d) 55
  22. 22.What is the average of 44, 15, 43 and 14? (a) 29 (b) 30 (c) 28 (d) 31
  23. 23.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 58? (a) 82 (b) 66 (c) 58 (d) 32
  24. 24.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 67 (c) 51 (d) 24
  25. 25.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 66? (a) 24 (b) 84 (c) 66 (d) 72
  26. 26.What is the average of all the whole numbers from 16 to 50? (a) 17 (b) 33 (c) 34 (d) 32
  27. 27.What is the average of 64, 72, 52, 65 and 82? (a) 68 (b) 67 (c) 69 (d) 66
  28. 28.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) 63 (b) 56 (c) 106 (d) 105
  29. 29.What is the average of all the whole numbers from 55 to 85? (a) 15 (b) 70 (c) 30 (d) 71
  30. 30.What is the average of all the whole numbers from 34 to 64? (a) 15 (b) 30 (c) 50 (d) 49
  31. 31.What is the average of all the whole numbers from 13 to 43? (a) 29 (b) 30 (c) 28 (d) 15
  32. 32.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 20 (b) 16 (c) 38 (d) 34
  33. 33.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 48? (a) 48 (b) 51 (c) 57 (d) 12
  34. 34.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) 48 (d) 33
  35. 35.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 64 (b) 39 (c) 35 (d) 34
  36. 36.What is the average of all the whole numbers from 52 to 80? (a) 67 (b) 14 (c) 66 (d) 28
  37. 37.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 29 (b) 40 (c) 52 (d) 17
  38. 38.What is the average of 27, 45, 23, 43, 30 and 48? (a) 37 (b) 36 (c) 38 (d) 35
  39. 39.What is the average of all the whole numbers from 46 to 58? (a) 12 (b) 53 (c) 6 (d) 52
  40. 40.What is the average of 39, 37, 41, 20, 34 and 3? (a) 28 (b) 29 (c) 31 (d) 30

Answer key

  1. 26
  2. 60
  3. 90
  4. 36
  5. 60
  6. 23
  7. 42
  8. 64
  9. 53
  10. 70
  11. 24
  12. 45
  13. 44
  14. 20
  15. 20
  16. 36
  17. 41
  18. 7
  19. 42
  20. 12
  21. 56
  22. 29
  23. 82
  24. 67
  25. 84
  26. 33
  27. 67
  28. 105
  29. 70
  30. 49
  31. 28
  32. 34
  33. 57
  34. 48
  35. 64
  36. 66
  37. 52
  38. 36
  39. 52
  40. 29

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