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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 647 · 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 22, 42, 35, 26 and 45? (a) 36 (b) 34 (c) 33 (d) 35
  2. 2.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 47 (b) 68 (c) 14 (d) 35
  3. 3.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 27 (b) 15 (c) 26 (d) 16
  4. 4.What is the average of 78, 54, 59 and 73? (a) 88 (b) 65 (c) 66 (d) 67
  5. 5.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 10 (b) 24 (c) 16 (d) 30
  6. 6.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 12 (b) 59 (c) 57 (d) 67
  7. 7.What is the average of all the whole numbers from 49 to 77? (a) 63 (b) 14 (c) 28 (d) 64
  8. 8.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 59 (b) 16 (c) 55 (d) 67
  9. 9.What is the average of 64, 58, 71, 79 and 83? (a) 72 (b) 71 (c) 73 (d) 70
  10. 10.What is the average of 17, 18, 20 and 53? (a) 36 (b) 26 (c) 28 (d) 27
  11. 11.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 48 (b) 95 (c) 4 (d) 51
  12. 12.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 10 (c) 46 (d) 40
  13. 13.What is the average of all the whole numbers from 19 to 55? (a) 37 (b) 38 (c) 18 (d) 36
  14. 14.What is the average of 24, 33, 13, 22, 25 and 27? (a) 24 (b) 25 (c) 26 (d) 23
  15. 15.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 22? (a) 22 (b) 34 (c) 24 (d) 14
  16. 16.A batter has an average of 53 runs in 6 matches. How many runs are needed in the next match to raise the average to 57? (a) 81 (b) 28 (c) 61 (d) 57
  17. 17.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 29 (b) 15 (c) 19 (d) 5
  18. 18.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 43 (b) 7 (c) 85 (d) 49
  19. 19.What is the average of all the whole numbers from 36 to 46? (a) 10 (b) 5 (c) 41 (d) 42
  20. 20.What is the average of all the whole numbers from 21 to 47? (a) 13 (b) 34 (c) 26 (d) 35
  21. 21.What is the average of 69, 67, 85, 81 and 53? (a) 70 (b) 73 (c) 71 (d) 72
  22. 22.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 47 (b) 31 (c) 24 (d) 27
  23. 23.What is the average of 63, 71, 74 and 36? (a) 63 (b) 61 (c) 62 (d) 60
  24. 24.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 8 (b) 53 (c) 51 (d) 57
  25. 25.What is the average of all the whole numbers from 26 to 38? (a) 6 (b) 32 (c) 12 (d) 33
  26. 26.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 31? (a) 37 (b) 30 (c) 31 (d) 55
  27. 27.What is the average of 65, 75, 78, 63 and 109? (a) 77 (b) 80 (c) 78 (d) 79
  28. 28.What is the average of 31, 12, 11, 9, 23 and 40? (a) 20 (b) 21 (c) 22 (d) 23
  29. 29.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 6 (b) 30 (c) 64 (d) 7
  30. 30.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 60 (b) 75 (c) 55 (d) 25
  31. 31.What is the average of all the whole numbers from 29 to 55? (a) 13 (b) 26 (c) 43 (d) 42
  32. 32.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 62 (b) 19 (c) 18 (d) 30
  33. 33.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 42 (c) 36 (d) 12
  34. 34.What is the average of all the whole numbers from 10 to 16? (a) 6 (b) 14 (c) 3 (d) 13
  35. 35.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 24 (b) 70 (c) 57 (d) 37
  36. 36.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 24? (a) 27 (b) 21 (c) 42 (d) 24
  37. 37.What is the average of all the whole numbers from 14 to 54? (a) 20 (b) 35 (c) 40 (d) 34
  38. 38.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 34 (b) 50 (c) 10 (d) 26
  39. 39.What is the average of 65, 82, 76, 85, 70 and 72? (a) 90 (b) 76 (c) 74 (d) 75
  40. 40.What is the average of all the whole numbers from 16 to 24? (a) 8 (b) 4 (c) 21 (d) 20

Answer key

  1. 34
  2. 47
  3. 27
  4. 66
  5. 30
  6. 67
  7. 63
  8. 67
  9. 71
  10. 27
  11. 51
  12. 46
  13. 37
  14. 24
  15. 34
  16. 81
  17. 19
  18. 49
  19. 41
  20. 34
  21. 71
  22. 47
  23. 61
  24. 57
  25. 32
  26. 55
  27. 78
  28. 21
  29. 6
  30. 75
  31. 42
  32. 18
  33. 42
  34. 13
  35. 57
  36. 42
  37. 34
  38. 34
  39. 75
  40. 20

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