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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 524 · 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 55 runs in 7 matches. How many runs are needed in the next match to raise the average to 57? (a) 71 (b) 16 (c) 59 (d) 57
  2. 2.What is the average of 45, 54, 44, 46, 51 and 102? (a) 59 (b) 58 (c) 57 (d) 56
  3. 3.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 20 (b) 16 (c) 41 (d) 17
  4. 4.What is the average of all the whole numbers from 26 to 66? (a) 46 (b) 40 (c) 20 (d) 47
  5. 5.A batter has an average of 50 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 54 (b) 52 (c) 20 (d) 70
  6. 6.What is the average of all the whole numbers from 7 to 25? (a) 18 (b) 16 (c) 17 (d) 9
  7. 7.What is the average of all the whole numbers from 45 to 81? (a) 63 (b) 64 (c) 36 (d) 18
  8. 8.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 12 (b) 36 (c) 45 (d) 69
  9. 9.What is the average of 30, 28, 44 and 50? (a) 39 (b) 38 (c) 37 (d) 40
  10. 10.What is the average of all the whole numbers from 11 to 29? (a) 18 (b) 9 (c) 21 (d) 20
  11. 11.What is the average of 22, 19, 19 and 64? (a) 33 (b) 31 (c) 30 (d) 32
  12. 12.What is the average of all the whole numbers from 18 to 28? (a) 23 (b) 10 (c) 24 (d) 5
  13. 13.What is the average of all the whole numbers from 20 to 26? (a) 24 (b) 3 (c) 6 (d) 23
  14. 14.What is the average of 59, 57, 65 and 91? (a) 69 (b) 67 (c) 68 (d) 70
  15. 15.What is the average of all the whole numbers from 48 to 56? (a) 8 (b) 4 (c) 52 (d) 53
  16. 16.What is the average of 82, 80, 88, 83 and 52? (a) 79 (b) 76 (c) 78 (d) 77
  17. 17.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 65 (b) 15 (c) 30 (d) 16
  18. 18.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 43 (b) 90 (c) 28 (d) 27
  19. 19.What is the average of 56, 41, 60, 38, 53 and 58? (a) 53 (b) 51 (c) 50 (d) 52
  20. 20.What is the average of all the whole numbers from 36 to 46? (a) 10 (b) 5 (c) 41 (d) 42
  21. 21.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 54 (c) 25 (d) 69
  22. 22.What is the average of 41, 66, 44 and 61? (a) 52 (b) 55 (c) 53 (d) 54
  23. 23.What is the average of 23, 36, 18 and 55? (a) 44 (b) 34 (c) 32 (d) 33
  24. 24.What is the average of 66, 65, 57, 48 and 44? (a) 56 (b) 70 (c) 55 (d) 57
  25. 25.A batter has an average of 39 runs in 6 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 28 (c) 67 (d) 47
  26. 26.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 49 (b) 28 (c) 70 (d) 35
  27. 27.What is the average of 44, 62, 36, 57, 56 and 39? (a) 50 (b) 48 (c) 49 (d) 51
  28. 28.What is the average of 45, 45, 54 and 56? (a) 49 (b) 51 (c) 50 (d) 52
  29. 29.What is the average of 57, 72, 63, 51 and 82? (a) 67 (b) 65 (c) 66 (d) 64
  30. 30.What is the average of 38, 37, 33, 31 and 66? (a) 40 (b) 42 (c) 43 (d) 41
  31. 31.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 27? (a) 45 (b) 24 (c) 33 (d) 27
  32. 32.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 60 (b) 45 (c) 16 (d) 31
  33. 33.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 40 (c) 66 (d) 98
  34. 34.What is the average of all the whole numbers from 40 to 50? (a) 46 (b) 5 (c) 45 (d) 10
  35. 35.What is the average of 14, 35, 19 and 36? (a) 25 (b) 28 (c) 27 (d) 26
  36. 36.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 35 (b) 75 (c) 20 (d) 21
  37. 37.What is the average of all the whole numbers from 15 to 25? (a) 20 (b) 10 (c) 5 (d) 21
  38. 38.What is the average of all the whole numbers from 43 to 53? (a) 5 (b) 49 (c) 10 (d) 48
  39. 39.What is the average of 24, 31, 36 and 61? (a) 40 (b) 37 (c) 39 (d) 38
  40. 40.What is the average of 51, 59, 72, 56 and 77? (a) 62 (b) 63 (c) 65 (d) 64

Answer key

  1. 71
  2. 57
  3. 16
  4. 46
  5. 70
  6. 16
  7. 63
  8. 45
  9. 38
  10. 20
  11. 31
  12. 23
  13. 23
  14. 68
  15. 52
  16. 77
  17. 15
  18. 27
  19. 51
  20. 41
  21. 69
  22. 53
  23. 33
  24. 56
  25. 67
  26. 70
  27. 49
  28. 50
  29. 65
  30. 41
  31. 45
  32. 45
  33. 98
  34. 45
  35. 26
  36. 20
  37. 20
  38. 48
  39. 38
  40. 63

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