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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 982 · 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 51 to 89? (a) 38 (b) 19 (c) 71 (d) 70
  2. 2.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 63? (a) 66 (b) 63 (c) 24 (d) 84
  3. 3.What is the average of 32, 22, 21, 19 and 21? (a) 22 (b) 23 (c) 25 (d) 24
  4. 4.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 38 (b) 58 (c) 24 (d) 72
  5. 5.A batter has an average of 51 runs in 9 matches. How many runs are needed in the next match to raise the average to 53? (a) 71 (b) 20 (c) 53 (d) 55
  6. 6.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 17 (b) 18 (c) 10 (d) 25
  7. 7.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 11 (b) 80 (c) 10 (d) 38
  8. 8.What is the average of 42, 43, 37, 25, 32 and 7? (a) 30 (b) 33 (c) 32 (d) 31
  9. 9.What is the average of 49, 25, 39 and 35? (a) 36 (b) 38 (c) 37 (d) 39
  10. 10.A batter has an average of 33 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 24 (b) 57 (c) 37 (d) 41
  11. 11.What is the average of all the whole numbers from 27 to 33? (a) 30 (b) 6 (c) 31 (d) 3
  12. 12.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 24 (b) 50 (c) 19 (d) 18
  13. 13.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 46? (a) 48 (b) 52 (c) 8 (d) 46
  14. 14.What is the average of 32, 26, 8, 7 and 37? (a) 21 (b) 24 (c) 22 (d) 23
  15. 15.What is the average of 17, 15, 10, 24, 14 and 64? (a) 26 (b) 24 (c) 25 (d) 23
  16. 16.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 57 (b) 15 (c) 42 (d) 30
  17. 17.A batter has an average of 33 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 43 (b) 35 (c) 37 (d) 10
  18. 18.What is the average of all the whole numbers from 7 to 41? (a) 17 (b) 25 (c) 34 (d) 24
  19. 19.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 6 (b) 85 (c) 5 (d) 40
  20. 20.What is the average of 45, 63, 50, 70, 54 and 54? (a) 55 (b) 56 (c) 58 (d) 57
  21. 21.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 55 (b) 15 (c) 52 (d) 64
  22. 22.What is the average of 73, 57, 49 and 61? (a) 80 (b) 59 (c) 60 (d) 61
  23. 23.What is the average of all the whole numbers from 21 to 33? (a) 28 (b) 27 (c) 6 (d) 12
  24. 24.What is the average of all the whole numbers from 51 to 77? (a) 64 (b) 13 (c) 26 (d) 65
  25. 25.What is the average of all the whole numbers from 37 to 65? (a) 28 (b) 52 (c) 51 (d) 14
  26. 26.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 29 (b) 33 (c) 30 (d) 67
  27. 27.What is the average of all the whole numbers from 6 to 20? (a) 13 (b) 14 (c) 7 (d) 12
  28. 28.What is the average of 13, 39, 19 and 25? (a) 25 (b) 23 (c) 24 (d) 32
  29. 29.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 42 (b) 35 (c) 49 (d) 77
  30. 30.What is the average of all the whole numbers from 48 to 58? (a) 54 (b) 53 (c) 10 (d) 5
  31. 31.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 60 (b) 87 (c) 39 (d) 33
  32. 32.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 3 (b) 22 (c) 2 (d) 49
  33. 33.A batter has an average of 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 41 (b) 16 (c) 37 (d) 49
  34. 34.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 20 (b) 25 (c) 41 (d) 46
  35. 35.What is the average of 27, 20, 35 and 58? (a) 37 (b) 35 (c) 36 (d) 34
  36. 36.A batter has an average of 59 runs in 7 matches. How many runs are needed in the next match to raise the average to 63? (a) 67 (b) 91 (c) 63 (d) 32
  37. 37.What is the average of 43, 29, 20, 42, 23 and 35? (a) 32 (b) 33 (c) 31 (d) 34
  38. 38.What is the average of 49, 30, 39, 41 and 66? (a) 46 (b) 44 (c) 45 (d) 47
  39. 39.What is the average of 76, 76, 61 and 51? (a) 88 (b) 66 (c) 67 (d) 65
  40. 40.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 57? (a) 18 (b) 72 (c) 57 (d) 60

Answer key

  1. 70
  2. 84
  3. 23
  4. 58
  5. 71
  6. 25
  7. 10
  8. 31
  9. 37
  10. 57
  11. 30
  12. 18
  13. 52
  14. 22
  15. 24
  16. 42
  17. 43
  18. 24
  19. 5
  20. 56
  21. 64
  22. 60
  23. 27
  24. 64
  25. 51
  26. 29
  27. 13
  28. 24
  29. 77
  30. 53
  31. 87
  32. 2
  33. 49
  34. 41
  35. 35
  36. 91
  37. 32
  38. 45
  39. 66
  40. 72

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