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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 397 · 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 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 40 (c) 63 (d) 39
  2. 2.What is the average of 78, 89, 65 and 64? (a) 76 (b) 73 (c) 74 (d) 75
  3. 3.What is the average of all the whole numbers from 24 to 40? (a) 33 (b) 16 (c) 32 (d) 8
  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) 2 (b) 22 (c) 47 (d) 1
  5. 5.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 25 (b) 28 (c) 48 (d) 33
  6. 6.What is the average of all the whole numbers from 43 to 81? (a) 19 (b) 38 (c) 62 (d) 63
  7. 7.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 31? (a) 36 (b) 31 (c) 63 (d) 35
  8. 8.What is the average of 69, 67, 69, 66 and 104? (a) 76 (b) 74 (c) 77 (d) 75
  9. 9.What is the average of all the whole numbers from 36 to 56? (a) 20 (b) 10 (c) 46 (d) 47
  10. 10.What is the average of all the whole numbers from 10 to 24? (a) 7 (b) 18 (c) 14 (d) 17
  11. 11.What is the average of 35, 18, 42 and 37? (a) 32 (b) 34 (c) 44 (d) 33
  12. 12.What is the average of 58, 73, 85, 85 and 59? (a) 71 (b) 72 (c) 73 (d) 90
  13. 13.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 29? (a) 29 (b) 53 (c) 37 (d) 32
  14. 14.What is the average of 54, 59, 64, 69, 59 and 73? (a) 64 (b) 63 (c) 62 (d) 65
  15. 15.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 32 (b) 17 (c) 18 (d) 69
  16. 16.What is the average of all the whole numbers from 20 to 50? (a) 30 (b) 35 (c) 36 (d) 15
  17. 17.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 33 (b) 9 (c) 10 (d) 70
  18. 18.What is the average of 46, 48, 60, 55, 64 and 63? (a) 58 (b) 57 (c) 55 (d) 56
  19. 19.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 70 (b) 26 (c) 34 (d) 27
  20. 20.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 41 (b) 4 (c) 44 (d) 81
  21. 21.What is the average of all the whole numbers from 7 to 27? (a) 10 (b) 20 (c) 17 (d) 18
  22. 22.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 46 (b) 81 (c) 49 (d) 39
  23. 23.What is the average of 16, 32, 23 and 53? (a) 33 (b) 31 (c) 32 (d) 30
  24. 24.What is the average of all the whole numbers from 36 to 62? (a) 50 (b) 13 (c) 26 (d) 49
  25. 25.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 55 (b) 96 (c) 8 (d) 49
  26. 26.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) 10 (b) 30 (c) 38 (d) 32
  27. 27.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 16 (b) 61 (c) 73 (d) 65
  28. 28.What is the average of all the whole numbers from 41 to 61? (a) 20 (b) 10 (c) 51 (d) 52
  29. 29.What is the average of 73, 70, 60, 62 and 90? (a) 70 (b) 72 (c) 71 (d) 73
  30. 30.What is the average of 47, 30, 46, 24 and 43? (a) 39 (b) 38 (c) 37 (d) 40
  31. 31.What is the average of all the whole numbers from 16 to 38? (a) 27 (b) 28 (c) 22 (d) 11
  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 38? (a) 35 (b) 45 (c) 38 (d) 66
  33. 33.What is the average of 29, 25, 12, 28, 31 and 25? (a) 26 (b) 30 (c) 24 (d) 25
  34. 34.What is the average of all the whole numbers from 21 to 55? (a) 39 (b) 38 (c) 34 (d) 17
  35. 35.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 56 (b) 85 (c) 36 (d) 43
  36. 36.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 43? (a) 48 (b) 30 (c) 43 (d) 68
  37. 37.What is the average of all the whole numbers from 7 to 43? (a) 26 (b) 18 (c) 25 (d) 36
  38. 38.What is the average of all the whole numbers from 28 to 64? (a) 46 (b) 36 (c) 18 (d) 47
  39. 39.What is the average of all the whole numbers from 16 to 34? (a) 26 (b) 18 (c) 9 (d) 25
  40. 40.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 34? (a) 40 (b) 64 (c) 36 (d) 34

Answer key

  1. 63
  2. 74
  3. 32
  4. 1
  5. 48
  6. 62
  7. 63
  8. 75
  9. 46
  10. 17
  11. 33
  12. 72
  13. 53
  14. 63
  15. 17
  16. 35
  17. 9
  18. 56
  19. 26
  20. 44
  21. 17
  22. 81
  23. 31
  24. 49
  25. 55
  26. 38
  27. 73
  28. 51
  29. 71
  30. 38
  31. 27
  32. 66
  33. 25
  34. 38
  35. 85
  36. 68
  37. 25
  38. 46
  39. 25
  40. 64

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