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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 991 · 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.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 46 (b) 25 (c) 26 (d) 31
  2. 2.What is the average of all the whole numbers from 20 to 28? (a) 24 (b) 4 (c) 8 (d) 25
  3. 3.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 56 (b) 84 (c) 16 (d) 44
  4. 4.What is the average of 73, 85, 73 and 73? (a) 76 (b) 75 (c) 78 (d) 77
  5. 5.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 39 (b) 6 (c) 18 (d) 7
  6. 6.What is the average of all the whole numbers from 40 to 56? (a) 49 (b) 48 (c) 16 (d) 8
  7. 7.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 10 (c) 35 (d) 29
  8. 8.What is the average of 54, 50, 35 and 41? (a) 60 (b) 46 (c) 45 (d) 44
  9. 9.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 47? (a) 8 (b) 49 (c) 47 (d) 53
  10. 10.What is the average of 35, 30, 30, 33, 17 and 17? (a) 29 (b) 28 (c) 26 (d) 27
  11. 11.What is the average of 17, 19, 28, 34, 29 and 17? (a) 23 (b) 25 (c) 26 (d) 24
  12. 12.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 47 (b) 35 (c) 16 (d) 66
  13. 13.A batter has an average of 25 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 35 (b) 40 (c) 30 (d) 65
  14. 14.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 50 (b) 36 (c) 44 (d) 74
  15. 15.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
  16. 16.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 25? (a) 60 (b) 30 (c) 25 (d) 40
  17. 17.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 24 (b) 75 (c) 57 (d) 54
  18. 18.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 14 (b) 23 (c) 30 (d) 39
  19. 19.What is the average of 55, 54, 42, 47, 59 and 7? (a) 44 (b) 46 (c) 45 (d) 43
  20. 20.What is the average of all the whole numbers from 25 to 53? (a) 39 (b) 28 (c) 40 (d) 14
  21. 21.What is the average of all the whole numbers from 47 to 77? (a) 63 (b) 30 (c) 15 (d) 62
  22. 22.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 59 (b) 8 (c) 30 (d) 37
  23. 23.What is the average of 63, 60, 72 and 93? (a) 71 (b) 72 (c) 96 (d) 73
  24. 24.What is the average of 78, 58, 58, 57, 66 and 67? (a) 63 (b) 66 (c) 64 (d) 65
  25. 25.What is the average of 53, 30, 47, 33 and 37? (a) 41 (b) 50 (c) 40 (d) 39
  26. 26.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) 33 (b) 10 (c) 35 (d) 41
  27. 27.What is the average of 37, 9, 35, 26, 10 and 27? (a) 23 (b) 26 (c) 24 (d) 25
  28. 28.What is the average of all the whole numbers from 19 to 35? (a) 8 (b) 27 (c) 16 (d) 28
  29. 29.What is the average of 63, 71, 72, 80 and 104? (a) 78 (b) 77 (c) 80 (d) 79
  30. 30.What is the average of all the whole numbers from 34 to 56? (a) 46 (b) 11 (c) 45 (d) 22
  31. 31.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 37 (b) 18 (c) 71 (d) 52
  32. 32.What is the average of all the whole numbers from 50 to 58? (a) 4 (b) 55 (c) 8 (d) 54
  33. 33.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 50 (c) 49 (d) 35
  34. 34.What is the average of all the whole numbers from 36 to 42? (a) 40 (b) 3 (c) 39 (d) 6
  35. 35.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 28 (b) 21 (c) 20 (d) 13
  36. 36.What is the average of all the whole numbers from 60 to 66? (a) 63 (b) 3 (c) 64 (d) 6
  37. 37.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 40 (c) 34 (d) 12
  38. 38.What is the average of 75, 63, 65 and 81? (a) 72 (b) 71 (c) 73 (d) 70
  39. 39.What is the average of 58, 68, 62, 64, 62 and 118? (a) 73 (b) 71 (c) 72 (d) 74
  40. 40.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 23 (b) 85 (c) 41 (d) 24

Answer key

  1. 46
  2. 24
  3. 56
  4. 76
  5. 6
  6. 48
  7. 35
  8. 45
  9. 53
  10. 27
  11. 24
  12. 47
  13. 65
  14. 74
  15. 12
  16. 60
  17. 75
  18. 39
  19. 44
  20. 39
  21. 62
  22. 37
  23. 72
  24. 64
  25. 40
  26. 41
  27. 24
  28. 27
  29. 78
  30. 45
  31. 52
  32. 54
  33. 49
  34. 39
  35. 28
  36. 63
  37. 40
  38. 71
  39. 72
  40. 23

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