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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 190 · 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 61, 48, 66, 57 and 73? (a) 62 (b) 60 (c) 63 (d) 61
  2. 2.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 49 (b) 20 (c) 42 (d) 27
  3. 3.What is the average of 66, 78, 65, 80, 65 and 48? (a) 69 (b) 67 (c) 68 (d) 66
  4. 4.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 44 (b) 45 (c) 46 (d) 25
  5. 5.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 60 (b) 12 (c) 57 (d) 66
  6. 6.A batter has an average of 34 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 70 (b) 40 (c) 36 (d) 46
  7. 7.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 28? (a) 30 (b) 28 (c) 33 (d) 53
  8. 8.What is the average of 59, 42, 40, 57 and 52? (a) 50 (b) 51 (c) 49 (d) 52
  9. 9.What is the average of all the whole numbers from 8 to 46? (a) 28 (b) 38 (c) 19 (d) 27
  10. 10.What is the average of 37, 42, 60, 38 and 53? (a) 48 (b) 45 (c) 46 (d) 47
  11. 11.What is the average of 88, 76, 74 and 74? (a) 79 (b) 77 (c) 78 (d) 104
  12. 12.What is the average of all the whole numbers from 30 to 58? (a) 28 (b) 45 (c) 44 (d) 14
  13. 13.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 30 (c) 41 (d) 65
  14. 14.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 3 (b) 11 (c) 2 (d) 25
  15. 15.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 64 (b) 108 (c) 60 (d) 52
  16. 16.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 53 (b) 28 (c) 52 (d) 32
  17. 17.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 11 (b) 14 (c) 23 (d) 20
  18. 18.What is the average of 85, 58, 63 and 74? (a) 70 (b) 72 (c) 69 (d) 71
  19. 19.What is the average of 71, 49, 58 and 78? (a) 65 (b) 66 (c) 63 (d) 64
  20. 20.What is the average of all the whole numbers from 57 to 71? (a) 14 (b) 64 (c) 65 (d) 7
  21. 21.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 42 (b) 16 (c) 56 (d) 82
  22. 22.What is the average of all the whole numbers from 23 to 49? (a) 13 (b) 26 (c) 37 (d) 36
  23. 23.What is the average of 57, 59, 56 and 52? (a) 58 (b) 55 (c) 56 (d) 57
  24. 24.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 17 (b) 3 (c) 36 (d) 4
  25. 25.What is the average of 27, 34, 29, 39 and 61? (a) 39 (b) 37 (c) 38 (d) 40
  26. 26.What is the average of all the whole numbers from 38 to 56? (a) 48 (b) 9 (c) 18 (d) 47
  27. 27.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 63 (b) 30 (c) 18 (d) 19
  28. 28.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 6 (b) 41 (c) 7 (d) 87
  29. 29.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 69 (b) 45 (c) 86 (d) 28
  30. 30.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 59 (c) 12 (d) 65
  31. 31.A batter has an average of 45 runs in 6 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 66 (c) 51 (d) 21
  32. 32.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 20 (b) 42 (c) 15 (d) 14
  33. 33.What is the average of 18, 14, 11, 22, 15 and 76? (a) 26 (b) 25 (c) 28 (d) 27
  34. 34.What is the average of 58, 36, 39, 41, 43 and 65? (a) 46 (b) 48 (c) 47 (d) 49
  35. 35.What is the average of all the whole numbers from 48 to 72? (a) 61 (b) 60 (c) 24 (d) 12
  36. 36.What is the average of all the whole numbers from 25 to 35? (a) 30 (b) 10 (c) 31 (d) 5
  37. 37.What is the average of all the whole numbers from 22 to 52? (a) 15 (b) 38 (c) 30 (d) 37
  38. 38.What is the average of all the whole numbers from 15 to 47? (a) 16 (b) 32 (c) 31 (d) 30
  39. 39.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 51? (a) 53 (b) 65 (c) 51 (d) 16
  40. 40.What is the average of all the whole numbers from 6 to 18? (a) 6 (b) 13 (c) 12 (d) 11

Answer key

  1. 61
  2. 42
  3. 67
  4. 45
  5. 66
  6. 70
  7. 53
  8. 50
  9. 27
  10. 46
  11. 78
  12. 44
  13. 65
  14. 2
  15. 108
  16. 52
  17. 23
  18. 70
  19. 64
  20. 64
  21. 56
  22. 36
  23. 56
  24. 3
  25. 38
  26. 47
  27. 18
  28. 6
  29. 69
  30. 65
  31. 66
  32. 14
  33. 26
  34. 47
  35. 60
  36. 30
  37. 37
  38. 31
  39. 65
  40. 12

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