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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 797 · 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 8 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) 27 (d) 34
  2. 2.What is the average of all the whole numbers from 23 to 53? (a) 15 (b) 38 (c) 39 (d) 30
  3. 3.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 24? (a) 27 (b) 24 (c) 30 (d) 51
  4. 4.What is the average of 78, 85, 60 and 61? (a) 70 (b) 73 (c) 72 (d) 71
  5. 5.What is the average of 45, 39, 28, 36 and 67? (a) 44 (b) 45 (c) 43 (d) 42
  6. 6.What is the average of all the whole numbers from 57 to 81? (a) 70 (b) 24 (c) 69 (d) 12
  7. 7.What is the average of 44, 34, 50 and 52? (a) 60 (b) 46 (c) 44 (d) 45
  8. 8.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 59? (a) 32 (b) 63 (c) 87 (d) 59
  9. 9.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 31 (b) 27 (c) 32 (d) 55
  10. 10.What is the average of all the whole numbers from 46 to 78? (a) 16 (b) 32 (c) 62 (d) 63
  11. 11.What is the average of 38, 25, 18 and 27? (a) 36 (b) 27 (c) 26 (d) 28
  12. 12.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 30? (a) 78 (b) 36 (c) 54 (d) 30
  13. 13.What is the average of 77, 70, 80, 82, 94 and 77? (a) 79 (b) 96 (c) 80 (d) 81
  14. 14.What is the average of all the whole numbers from 9 to 49? (a) 20 (b) 29 (c) 30 (d) 40
  15. 15.What is the average of all the whole numbers from 13 to 25? (a) 19 (b) 12 (c) 6 (d) 20
  16. 16.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 64? (a) 54 (b) 112 (c) 70 (d) 64
  17. 17.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 32 (b) 17 (c) 14 (d) 29
  18. 18.What is the average of all the whole numbers from 50 to 62? (a) 12 (b) 6 (c) 57 (d) 56
  19. 19.What is the average of all the whole numbers from 20 to 50? (a) 35 (b) 30 (c) 15 (d) 36
  20. 20.What is the average of all the whole numbers from 23 to 33? (a) 29 (b) 10 (c) 28 (d) 5
  21. 21.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 29 (b) 12 (c) 11 (d) 14
  22. 22.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 18 (b) 34 (c) 10 (d) 26
  23. 23.What is the average of all the whole numbers from 12 to 24? (a) 6 (b) 19 (c) 18 (d) 12
  24. 24.What is the average of all the whole numbers from 37 to 63? (a) 13 (b) 26 (c) 51 (d) 50
  25. 25.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 74 (b) 44 (c) 38 (d) 8
  26. 26.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 21 (b) 67 (c) 20 (d) 32
  27. 27.What is the average of all the whole numbers from 10 to 26? (a) 16 (b) 19 (c) 8 (d) 18
  28. 28.What is the average of all the whole numbers from 39 to 65? (a) 53 (b) 13 (c) 52 (d) 26
  29. 29.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 16 (b) 29 (c) 12 (d) 25
  30. 30.What is the average of 37, 24, 22 and 49? (a) 34 (b) 44 (c) 32 (d) 33
  31. 31.What is the average of 35, 37, 29, 56 and 53? (a) 44 (b) 43 (c) 42 (d) 41
  32. 32.What is the average of all the whole numbers from 33 to 49? (a) 8 (b) 16 (c) 41 (d) 42
  33. 33.A batter has an average of 43 runs in 8 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 72 (c) 59 (d) 115
  34. 34.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 32? (a) 8 (b) 38 (c) 34 (d) 32
  35. 35.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 56 (b) 10 (c) 48 (d) 94
  36. 36.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 7 (b) 57 (c) 27 (d) 6
  37. 37.What is the average of 55, 36, 36, 46 and 82? (a) 53 (b) 51 (c) 52 (d) 50
  38. 38.What is the average of all the whole numbers from 25 to 57? (a) 16 (b) 42 (c) 41 (d) 32
  39. 39.What is the average of all the whole numbers from 30 to 70? (a) 50 (b) 51 (c) 40 (d) 20
  40. 40.What is the average of 44, 42, 64 and 78? (a) 76 (b) 56 (c) 58 (d) 57

Answer key

  1. 27
  2. 38
  3. 51
  4. 71
  5. 43
  6. 69
  7. 45
  8. 87
  9. 55
  10. 62
  11. 27
  12. 78
  13. 80
  14. 29
  15. 19
  16. 112
  17. 29
  18. 56
  19. 35
  20. 28
  21. 11
  22. 26
  23. 18
  24. 50
  25. 44
  26. 20
  27. 18
  28. 52
  29. 25
  30. 33
  31. 42
  32. 41
  33. 115
  34. 38
  35. 56
  36. 6
  37. 51
  38. 41
  39. 50
  40. 57

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