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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 887 · 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 30 to 62? (a) 16 (b) 46 (c) 47 (d) 32
  2. 2.What is the average of all the whole numbers from 51 to 65? (a) 59 (b) 58 (c) 14 (d) 7
  3. 3.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 43? (a) 43 (b) 47 (c) 75 (d) 36
  4. 4.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) 47 (b) 2 (c) 1 (d) 22
  5. 5.What is the average of 18, 32, 34 and 28? (a) 30 (b) 29 (c) 28 (d) 27
  6. 6.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 41 (c) 33 (d) 16
  7. 7.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 16 (b) 37 (c) 72 (d) 51
  8. 8.What is the average of all the whole numbers from 37 to 59? (a) 11 (b) 48 (c) 49 (d) 22
  9. 9.A batter has an average of 45 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 49 (b) 65 (c) 47 (d) 20
  10. 10.What is the average of 42, 36, 50, 52, 36 and 60? (a) 45 (b) 48 (c) 46 (d) 47
  11. 11.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 28 (c) 50 (d) 70
  12. 12.What is the average of 19, 12, 18 and 51? (a) 26 (b) 27 (c) 25 (d) 24
  13. 13.A batter has an average of 47 runs in 6 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 89 (c) 42 (d) 59
  14. 14.What is the average of 41, 49, 57, 46, 61 and 46? (a) 49 (b) 60 (c) 51 (d) 50
  15. 15.A batter has an average of 43 runs in 9 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 59 (c) 80 (d) 123
  16. 16.What is the average of 48, 32, 23, 41 and 46? (a) 40 (b) 37 (c) 39 (d) 38
  17. 17.What is the average of 28, 29, 47, 51, 40 and 33? (a) 37 (b) 40 (c) 39 (d) 38
  18. 18.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) 13 (d) 22
  19. 19.What is the average of 50, 28, 45, 53, 55 and 9? (a) 40 (b) 48 (c) 39 (d) 41
  20. 20.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 95 (c) 71 (d) 40
  21. 21.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 10 (b) 62 (c) 70 (d) 64
  22. 22.What is the average of all the whole numbers from 52 to 78? (a) 66 (b) 26 (c) 13 (d) 65
  23. 23.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 38 (b) 32 (c) 24 (d) 18
  24. 24.What is the average of all the whole numbers from 28 to 48? (a) 38 (b) 20 (c) 10 (d) 39
  25. 25.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 15 (b) 32 (c) 37 (d) 20
  26. 26.A batter has an average of 32 runs in 9 matches. How many runs are needed in the next match to raise the average to 37? (a) 50 (b) 42 (c) 82 (d) 37
  27. 27.What is the average of 52, 64, 67, 46, 51 and 38? (a) 53 (b) 55 (c) 54 (d) 52
  28. 28.A batter has an average of 30 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 44 (b) 37 (c) 42 (d) 72
  29. 29.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 35 (b) 60 (c) 67 (d) 88
  30. 30.What is the average of 34, 43, 19, 24 and 25? (a) 30 (b) 28 (c) 31 (d) 29
  31. 31.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 40? (a) 40 (b) 36 (c) 44 (d) 72
  32. 32.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 39? (a) 39 (b) 71 (c) 47 (d) 40
  33. 33.What is the average of 28, 52, 49 and 35? (a) 41 (b) 40 (c) 42 (d) 43
  34. 34.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 13 (b) 28 (c) 12 (d) 60
  35. 35.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 44 (b) 72 (c) 36 (d) 100
  36. 36.What is the average of 61, 79, 61, 64, 78 and 77? (a) 69 (b) 71 (c) 84 (d) 70
  37. 37.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 39 (b) 40 (c) 93 (d) 46
  38. 38.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 37? (a) 20 (b) 55 (c) 37 (d) 39
  39. 39.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 24? (a) 45 (b) 46 (c) 27 (d) 24
  40. 40.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 41 (b) 81 (c) 5 (d) 45

Answer key

  1. 46
  2. 58
  3. 75
  4. 1
  5. 28
  6. 41
  7. 51
  8. 48
  9. 65
  10. 46
  11. 70
  12. 25
  13. 89
  14. 50
  15. 123
  16. 38
  17. 38
  18. 12
  19. 40
  20. 95
  21. 70
  22. 65
  23. 38
  24. 38
  25. 32
  26. 82
  27. 53
  28. 72
  29. 88
  30. 29
  31. 72
  32. 71
  33. 41
  34. 12
  35. 100
  36. 70
  37. 39
  38. 55
  39. 45
  40. 45

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