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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 836 · 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.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 22 (b) 28 (c) 8 (d) 42
  2. 2.A batter has an average of 37 runs in 8 matches. How many runs are needed in the next match to raise the average to 44? (a) 63 (b) 51 (c) 100 (d) 44
  3. 3.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 35 (b) 43 (c) 24 (d) 54
  4. 4.What is the average of 48, 63, 58, 72, 48 and 77? (a) 60 (b) 63 (c) 61 (d) 62
  5. 5.What is the average of 62, 56, 47 and 79? (a) 61 (b) 62 (c) 60 (d) 63
  6. 6.What is the average of all the whole numbers from 36 to 50? (a) 43 (b) 44 (c) 14 (d) 7
  7. 7.What is the average of all the whole numbers from 54 to 80? (a) 26 (b) 67 (c) 13 (d) 68
  8. 8.What is the average of all the whole numbers from 7 to 33? (a) 20 (b) 13 (c) 26 (d) 21
  9. 9.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 49 (b) 20 (c) 33 (d) 31
  10. 10.What is the average of all the whole numbers from 16 to 38? (a) 28 (b) 22 (c) 27 (d) 11
  11. 11.What is the average of 81, 52, 60 and 75? (a) 66 (b) 69 (c) 67 (d) 68
  12. 12.What is the average of 25, 28, 32 and 59? (a) 37 (b) 35 (c) 36 (d) 48
  13. 13.What is the average of all the whole numbers from 43 to 61? (a) 18 (b) 52 (c) 9 (d) 53
  14. 14.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 27? (a) 34 (b) 27 (c) 69 (d) 49
  15. 15.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 47 (c) 8 (d) 51
  16. 16.What is the average of 37, 42, 42, 48, 45 and 8? (a) 36 (b) 39 (c) 37 (d) 38
  17. 17.What is the average of 43, 53, 46 and 42? (a) 48 (b) 46 (c) 47 (d) 45
  18. 18.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 69 (c) 34 (d) 45
  19. 19.What is the average of all the whole numbers from 6 to 20? (a) 12 (b) 7 (c) 13 (d) 14
  20. 20.A batter has an average of 51 runs in 8 matches. How many runs are needed in the next match to raise the average to 57? (a) 63 (b) 57 (c) 54 (d) 105
  21. 21.What is the average of all the whole numbers from 19 to 27? (a) 8 (b) 4 (c) 24 (d) 23
  22. 22.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 28 (b) 34 (c) 55 (d) 41
  23. 23.What is the average of all the whole numbers from 16 to 56? (a) 37 (b) 20 (c) 36 (d) 40
  24. 24.A batter has an average of 38 runs in 6 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 42 (c) 52 (d) 14
  25. 25.What is the average of 75, 74, 68, 79, 79 and 33? (a) 69 (b) 67 (c) 68 (d) 70
  26. 26.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 42? (a) 44 (b) 54 (c) 14 (d) 42
  27. 27.What is the average of all the whole numbers from 18 to 48? (a) 34 (b) 15 (c) 33 (d) 30
  28. 28.What is the average of 58, 38, 44 and 72? (a) 55 (b) 52 (c) 53 (d) 54
  29. 29.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 32 (b) 30 (c) 38 (d) 10
  30. 30.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 82 (b) 14 (c) 42 (d) 54
  31. 31.What is the average of 63, 57, 68 and 44? (a) 59 (b) 58 (c) 60 (d) 57
  32. 32.What is the average of 78, 67, 53 and 58? (a) 65 (b) 64 (c) 66 (d) 63
  33. 33.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 8 (b) 28 (c) 13 (d) 7
  34. 34.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 83 (b) 40 (c) 51 (d) 59
  35. 35.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 68 (b) 42 (c) 98 (d) 62
  36. 36.What is the average of all the whole numbers from 45 to 85? (a) 20 (b) 65 (c) 40 (d) 66
  37. 37.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 66 (b) 32 (c) 72 (d) 38
  38. 38.What is the average of 14, 21, 36, 10 and 44? (a) 25 (b) 24 (c) 27 (d) 26
  39. 39.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 45 (c) 49 (d) 80
  40. 40.What is the average of 42, 44, 45, 27, 29 and 47? (a) 38 (b) 41 (c) 39 (d) 40

Answer key

  1. 28
  2. 100
  3. 54
  4. 61
  5. 61
  6. 43
  7. 67
  8. 20
  9. 49
  10. 27
  11. 67
  12. 36
  13. 52
  14. 69
  15. 51
  16. 37
  17. 46
  18. 69
  19. 13
  20. 105
  21. 23
  22. 55
  23. 36
  24. 52
  25. 68
  26. 54
  27. 33
  28. 53
  29. 38
  30. 54
  31. 58
  32. 64
  33. 7
  34. 83
  35. 98
  36. 65
  37. 66
  38. 25
  39. 80
  40. 39

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