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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 717 · 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 90, 71, 70, 67, 79 and 91? (a) 77 (b) 78 (c) 79 (d) 80
  2. 2.What is the average of all the whole numbers from 44 to 52? (a) 4 (b) 8 (c) 48 (d) 49
  3. 3.What is the average of all the whole numbers from 15 to 35? (a) 10 (b) 26 (c) 20 (d) 25
  4. 4.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 45 (b) 29 (c) 18 (d) 31
  5. 5.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 20 (b) 23 (c) 29 (d) 14
  6. 6.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 7 (b) 24 (c) 51 (d) 6
  7. 7.What is the average of 45, 54, 37, 52 and 32? (a) 55 (b) 44 (c) 43 (d) 45
  8. 8.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 10 (b) 16 (c) 23 (d) 22
  9. 9.What is the average of 53, 51, 32, 57, 60 and 17? (a) 46 (b) 44 (c) 54 (d) 45
  10. 10.What is the average of all the whole numbers from 8 to 18? (a) 10 (b) 14 (c) 13 (d) 5
  11. 11.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 40 (b) 18 (c) 54 (d) 38
  12. 12.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 23? (a) 41 (b) 25 (c) 23 (d) 20
  13. 13.What is the average of 65, 69, 59, 74 and 103? (a) 76 (b) 74 (c) 75 (d) 73
  14. 14.A batter has an average of 52 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 16 (c) 68 (d) 56
  15. 15.A batter has an average of 20 runs in 6 matches. How many runs are needed in the next match to raise the average to 26? (a) 62 (b) 26 (c) 32 (d) 42
  16. 16.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 36 (b) 56 (c) 86 (d) 62
  17. 17.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 8 (b) 36 (c) 19 (d) 25
  18. 18.A batter has an average of 44 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 62 (b) 48 (c) 46 (d) 18
  19. 19.A batter has an average of 59 runs in 8 matches. How many runs are needed in the next match to raise the average to 64? (a) 104 (b) 69 (c) 45 (d) 64
  20. 20.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 44? (a) 50 (b) 48 (c) 44 (d) 86
  21. 21.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 25 (b) 32 (c) 10 (d) 17
  22. 22.What is the average of all the whole numbers from 32 to 70? (a) 19 (b) 38 (c) 52 (d) 51
  23. 23.What is the average of all the whole numbers from 50 to 78? (a) 64 (b) 28 (c) 14 (d) 65
  24. 24.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 5 (b) 35 (c) 4 (d) 16
  25. 25.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 45 (b) 24 (c) 87 (d) 66
  26. 26.What is the average of all the whole numbers from 53 to 63? (a) 58 (b) 5 (c) 59 (d) 10
  27. 27.A batter has an average of 40 runs in 9 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 80 (c) 40 (d) 48
  28. 28.What is the average of 43, 53, 50 and 10? (a) 40 (b) 38 (c) 39 (d) 52
  29. 29.What is the average of all the whole numbers from 15 to 21? (a) 18 (b) 19 (c) 6 (d) 3
  30. 30.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 24 (b) 20 (c) 12 (d) 32
  31. 31.What is the average of all the whole numbers from 9 to 15? (a) 6 (b) 13 (c) 3 (d) 12
  32. 32.What is the average of 60, 86, 81, 63, 82 and 66? (a) 74 (b) 72 (c) 75 (d) 73
  33. 33.What is the average of 26, 22, 16, 44, 40 and 38? (a) 30 (b) 31 (c) 32 (d) 33
  34. 34.What is the average of all the whole numbers from 50 to 86? (a) 69 (b) 36 (c) 18 (d) 68
  35. 35.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 40 (c) 37 (d) 67
  36. 36.What is the average of 13, 9, 18, 31 and 29? (a) 20 (b) 21 (c) 19 (d) 25
  37. 37.What is the average of 14, 38, 35, 28, 34 and 7? (a) 25 (b) 27 (c) 26 (d) 28
  38. 38.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 42 (b) 70 (c) 71 (d) 35
  39. 39.What is the average of 35, 11, 34, 28 and 2? (a) 24 (b) 23 (c) 22 (d) 21
  40. 40.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 50? (a) 50 (b) 56 (c) 24 (d) 68

Answer key

  1. 78
  2. 48
  3. 25
  4. 45
  5. 29
  6. 6
  7. 44
  8. 22
  9. 45
  10. 13
  11. 54
  12. 41
  13. 74
  14. 68
  15. 62
  16. 86
  17. 25
  18. 62
  19. 104
  20. 86
  21. 25
  22. 51
  23. 64
  24. 4
  25. 66
  26. 58
  27. 80
  28. 39
  29. 18
  30. 32
  31. 12
  32. 73
  33. 31
  34. 68
  35. 67
  36. 20
  37. 26
  38. 70
  39. 22
  40. 68

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