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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 761 · 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 58 runs in 6 matches. How many runs are needed in the next match to raise the average to 60? (a) 62 (b) 14 (c) 72 (d) 60
  2. 2.What is the average of all the whole numbers from 59 to 65? (a) 3 (b) 62 (c) 63 (d) 6
  3. 3.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 69 (b) 28 (c) 29 (d) 34
  4. 4.What is the average of all the whole numbers from 10 to 36? (a) 24 (b) 26 (c) 23 (d) 13
  5. 5.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 55 (b) 30 (c) 65 (d) 40
  6. 6.What is the average of all the whole numbers from 44 to 66? (a) 56 (b) 22 (c) 11 (d) 55
  7. 7.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 12 (b) 15 (c) 21 (d) 24
  8. 8.What is the average of all the whole numbers from 14 to 20? (a) 3 (b) 6 (c) 18 (d) 17
  9. 9.What is the average of all the whole numbers from 22 to 36? (a) 29 (b) 30 (c) 14 (d) 7
  10. 10.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 8 (b) 81 (c) 48 (d) 41
  11. 11.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 25 (b) 54 (c) 5 (d) 6
  12. 12.What is the average of all the whole numbers from 12 to 22? (a) 18 (b) 10 (c) 17 (d) 5
  13. 13.What is the average of all the whole numbers from 37 to 57? (a) 20 (b) 10 (c) 48 (d) 47
  14. 14.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 25 (b) 87 (c) 46 (d) 66
  15. 15.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 57 (b) 24 (c) 28 (d) 25
  16. 16.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) 13 (b) 28 (c) 7 (d) 8
  17. 17.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 24 (b) 23 (c) 38 (d) 81
  18. 18.What is the average of all the whole numbers from 45 to 55? (a) 10 (b) 50 (c) 51 (d) 5
  19. 19.What is the average of all the whole numbers from 35 to 71? (a) 36 (b) 18 (c) 53 (d) 54
  20. 20.What is the average of 70, 62, 57 and 67? (a) 64 (b) 63 (c) 66 (d) 65
  21. 21.What is the average of 21, 36, 33, 33 and 47? (a) 36 (b) 33 (c) 35 (d) 34
  22. 22.What is the average of all the whole numbers from 36 to 74? (a) 19 (b) 56 (c) 55 (d) 38
  23. 23.What is the average of 38, 59, 43 and 52? (a) 48 (b) 47 (c) 49 (d) 64
  24. 24.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 36? (a) 16 (b) 40 (c) 48 (d) 36
  25. 25.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 39 (b) 2 (c) 17 (d) 3
  26. 26.A batter has an average of 26 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 38 (b) 80 (c) 32 (d) 54
  27. 27.What is the average of all the whole numbers from 48 to 88? (a) 69 (b) 40 (c) 68 (d) 20
  28. 28.What is the average of 58, 53, 51, 71 and 77? (a) 62 (b) 61 (c) 64 (d) 63
  29. 29.What is the average of 24, 7, 11 and 42? (a) 21 (b) 20 (c) 28 (d) 22
  30. 30.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 37 (b) 19 (c) 30 (d) 12
  31. 31.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 71 (c) 32 (d) 55
  32. 32.What is the average of all the whole numbers from 19 to 45? (a) 13 (b) 26 (c) 33 (d) 32
  33. 33.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 28 (c) 36 (d) 50
  34. 34.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 42 (b) 97 (c) 48 (d) 41
  35. 35.What is the average of all the whole numbers from 6 to 38? (a) 32 (b) 23 (c) 16 (d) 22
  36. 36.What is the average of all the whole numbers from 35 to 47? (a) 6 (b) 12 (c) 41 (d) 42
  37. 37.What is the average of 16, 26, 31, 43, 21 and 37? (a) 31 (b) 29 (c) 28 (d) 30
  38. 38.What is the average of all the whole numbers from 41 to 53? (a) 6 (b) 12 (c) 47 (d) 48
  39. 39.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 68 (b) 50 (c) 56 (d) 24
  40. 40.What is the average of all the whole numbers from 9 to 17? (a) 14 (b) 13 (c) 8 (d) 4

Answer key

  1. 72
  2. 62
  3. 28
  4. 23
  5. 65
  6. 55
  7. 24
  8. 17
  9. 29
  10. 48
  11. 5
  12. 17
  13. 47
  14. 66
  15. 24
  16. 7
  17. 23
  18. 50
  19. 53
  20. 64
  21. 34
  22. 55
  23. 48
  24. 48
  25. 2
  26. 80
  27. 68
  28. 62
  29. 21
  30. 37
  31. 71
  32. 32
  33. 50
  34. 41
  35. 22
  36. 41
  37. 29
  38. 47
  39. 68
  40. 13

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