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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 798 · 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 41. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 40 (b) 76 (c) 77 (d) 41
  2. 2.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 27 (b) 10 (c) 19 (d) 36
  3. 3.What is the average of 77, 79, 74 and 78? (a) 79 (b) 77 (c) 76 (d) 78
  4. 4.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 24 (b) 74 (c) 56 (d) 53
  5. 5.What is the average of 73, 76, 61, 60 and 80? (a) 70 (b) 72 (c) 69 (d) 71
  6. 6.What is the average of 38, 29, 19, 43 and 41? (a) 36 (b) 35 (c) 34 (d) 33
  7. 7.A batter has an average of 36 runs in 9 matches. How many runs are needed in the next match to raise the average to 40? (a) 77 (b) 40 (c) 76 (d) 44
  8. 8.What is the average of all the whole numbers from 50 to 56? (a) 6 (b) 53 (c) 54 (d) 3
  9. 9.What is the average of all the whole numbers from 17 to 51? (a) 35 (b) 33 (c) 34 (d) 17
  10. 10.What is the average of 38, 30, 35, 21, 32 and 54? (a) 36 (b) 42 (c) 34 (d) 35
  11. 11.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 24 (b) 44 (c) 91 (d) 23
  12. 12.What is the average of all the whole numbers from 34 to 54? (a) 45 (b) 10 (c) 20 (d) 44
  13. 13.What is the average of 38, 38, 29, 33, 31 and 53? (a) 38 (b) 37 (c) 36 (d) 39
  14. 14.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 85 (c) 64 (d) 37
  15. 15.What is the average of 19, 12, 18, 28, 30 and 25? (a) 22 (b) 24 (c) 23 (d) 21
  16. 16.What is the average of all the whole numbers from 24 to 60? (a) 43 (b) 42 (c) 18 (d) 36
  17. 17.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 35 (b) 56 (c) 28 (d) 77
  18. 18.What is the average of all the whole numbers from 44 to 52? (a) 8 (b) 4 (c) 49 (d) 48
  19. 19.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 85 (b) 44 (c) 18 (d) 59
  20. 20.What is the average of 12, 32, 22, 14 and 35? (a) 24 (b) 23 (c) 22 (d) 25
  21. 21.What is the average of all the whole numbers from 59 to 65? (a) 63 (b) 3 (c) 6 (d) 62
  22. 22.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 70 (b) 34 (c) 28 (d) 29
  23. 23.What is the average of 43, 22, 44 and 31? (a) 35 (b) 36 (c) 34 (d) 37
  24. 24.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 47? (a) 12 (b) 50 (c) 47 (d) 56
  25. 25.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 16 (b) 23 (c) 44 (d) 37
  26. 26.What is the average of 23, 40, 25, 48, 48 and 32? (a) 37 (b) 38 (c) 36 (d) 35
  27. 27.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 61 (c) 46 (d) 21
  28. 28.What is the average of all the whole numbers from 30 to 68? (a) 50 (b) 19 (c) 49 (d) 38
  29. 29.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 18 (b) 19 (c) 39 (d) 81
  30. 30.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) 50 (b) 56 (c) 68 (d) 24
  31. 31.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 24? (a) 28 (b) 36 (c) 24 (d) 56
  32. 32.What is the average of 18, 26, 32, 17, 33 and 36? (a) 28 (b) 29 (c) 26 (d) 27
  33. 33.What is the average of all the whole numbers from 44 to 84? (a) 40 (b) 20 (c) 65 (d) 64
  34. 34.What is the average of all the whole numbers from 18 to 50? (a) 16 (b) 35 (c) 32 (d) 34
  35. 35.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 5 (b) 65 (c) 6 (d) 30
  36. 36.What is the average of 67, 87, 79 and 87? (a) 80 (b) 79 (c) 82 (d) 81
  37. 37.What is the average of all the whole numbers from 17 to 41? (a) 29 (b) 24 (c) 30 (d) 12
  38. 38.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 28 (b) 65 (c) 29 (d) 32
  39. 39.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 65? (a) 72 (b) 65 (c) 63 (d) 121
  40. 40.What is the average of all the whole numbers from 38 to 74? (a) 18 (b) 57 (c) 56 (d) 36

Answer key

  1. 76
  2. 27
  3. 77
  4. 74
  5. 70
  6. 34
  7. 76
  8. 53
  9. 34
  10. 35
  11. 23
  12. 44
  13. 37
  14. 85
  15. 22
  16. 42
  17. 77
  18. 48
  19. 59
  20. 23
  21. 62
  22. 28
  23. 35
  24. 56
  25. 37
  26. 36
  27. 61
  28. 49
  29. 18
  30. 68
  31. 56
  32. 27
  33. 64
  34. 34
  35. 5
  36. 80
  37. 29
  38. 28
  39. 121
  40. 56

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