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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 966 · 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 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 45 (b) 42 (c) 77 (d) 37
  2. 2.What is the average of 61, 67, 87, 79 and 71? (a) 73 (b) 75 (c) 74 (d) 72
  3. 3.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 12 (b) 87 (c) 45 (d) 54
  4. 4.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 39 (b) 23 (c) 20 (d) 4
  5. 5.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 43 (b) 32 (c) 15 (d) 26
  6. 6.What is the average of all the whole numbers from 21 to 49? (a) 14 (b) 36 (c) 28 (d) 35
  7. 7.What is the average of all the whole numbers from 47 to 55? (a) 8 (b) 52 (c) 51 (d) 4
  8. 8.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 40 (b) 49 (c) 14 (d) 23
  9. 9.What is the average of all the whole numbers from 16 to 30? (a) 23 (b) 14 (c) 24 (d) 7
  10. 10.What is the average of all the whole numbers from 37 to 45? (a) 8 (b) 42 (c) 41 (d) 4
  11. 11.What is the average of 36, 26, 51 and 31? (a) 48 (b) 36 (c) 37 (d) 35
  12. 12.What is the average of all the whole numbers from 25 to 35? (a) 31 (b) 30 (c) 5 (d) 10
  13. 13.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 40 (c) 66 (d) 96
  14. 14.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 75 (c) 21 (d) 60
  15. 15.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 33 (b) 31 (c) 49 (d) 20
  16. 16.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 41 (b) 34 (c) 42 (d) 69
  17. 17.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 42 (c) 99 (d) 71
  18. 18.What is the average of 49, 46, 33, 19, 48 and 9? (a) 33 (b) 36 (c) 34 (d) 35
  19. 19.What is the average of all the whole numbers from 14 to 20? (a) 6 (b) 18 (c) 17 (d) 3
  20. 20.What is the average of 44, 61, 59, 41 and 55? (a) 65 (b) 51 (c) 53 (d) 52
  21. 21.What is the average of 34, 58, 58, 47, 40 and 45? (a) 47 (b) 46 (c) 48 (d) 49
  22. 22.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 53 (b) 12 (c) 43 (d) 84
  23. 23.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 24? (a) 27 (b) 46 (c) 24 (d) 45
  24. 24.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 40 (b) 84 (c) 13 (d) 12
  25. 25.What is the average of all the whole numbers from 11 to 39? (a) 25 (b) 14 (c) 28 (d) 26
  26. 26.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 69 (b) 25 (c) 33 (d) 24
  27. 27.What is the average of all the whole numbers from 40 to 64? (a) 53 (b) 52 (c) 24 (d) 12
  28. 28.What is the average of all the whole numbers from 12 to 42? (a) 15 (b) 27 (c) 28 (d) 30
  29. 29.What is the average of 23, 30, 24, 35, 40 and 40? (a) 33 (b) 31 (c) 34 (d) 32
  30. 30.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 40 (b) 32 (c) 68 (d) 76
  31. 31.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 17 (b) 13 (c) 25 (d) 5
  32. 32.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 46 (b) 26 (c) 96 (d) 27
  33. 33.What is the average of all the whole numbers from 16 to 46? (a) 30 (b) 31 (c) 15 (d) 32
  34. 34.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 56? (a) 56 (b) 74 (c) 21 (d) 59
  35. 35.A batter has an average of 41 runs in 7 matches. How many runs are needed in the next match to raise the average to 43? (a) 57 (b) 45 (c) 43 (d) 16
  36. 36.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 19 (b) 12 (c) 11 (d) 20
  37. 37.What is the average of 11, 24, 28, 19 and 38? (a) 25 (b) 24 (c) 23 (d) 30
  38. 38.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 37 (b) 39 (c) 20 (d) 22
  39. 39.What is the average of all the whole numbers from 40 to 62? (a) 11 (b) 51 (c) 22 (d) 52
  40. 40.What is the average of 35, 31, 28, 26, 37 and 47? (a) 34 (b) 36 (c) 35 (d) 33

Answer key

  1. 77
  2. 73
  3. 54
  4. 23
  5. 43
  6. 35
  7. 51
  8. 49
  9. 23
  10. 41
  11. 36
  12. 30
  13. 96
  14. 75
  15. 49
  16. 69
  17. 99
  18. 34
  19. 17
  20. 52
  21. 47
  22. 53
  23. 45
  24. 12
  25. 25
  26. 24
  27. 52
  28. 27
  29. 32
  30. 68
  31. 17
  32. 26
  33. 31
  34. 74
  35. 57
  36. 20
  37. 24
  38. 37
  39. 51
  40. 34

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