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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 967 · 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 all the whole numbers from 32 to 64? (a) 16 (b) 48 (c) 49 (d) 32
  2. 2.What is the average of all the whole numbers from 47 to 79? (a) 64 (b) 32 (c) 16 (d) 63
  3. 3.What is the average of 14, 19, 26, 41, 27 and 29? (a) 27 (b) 28 (c) 25 (d) 26
  4. 4.What is the average of 44, 60, 47, 66 and 43? (a) 53 (b) 51 (c) 52 (d) 65
  5. 5.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 85 (b) 38 (c) 42 (d) 39
  6. 6.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 16 (b) 11 (c) 12 (d) 33
  7. 7.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 43 (b) 49 (c) 8 (d) 84
  8. 8.What is the average of all the whole numbers from 21 to 49? (a) 36 (b) 35 (c) 28 (d) 14
  9. 9.What is the average of all the whole numbers from 52 to 58? (a) 3 (b) 56 (c) 6 (d) 55
  10. 10.What is the average of all the whole numbers from 20 to 26? (a) 3 (b) 6 (c) 24 (d) 23
  11. 11.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 32 (b) 9 (c) 68 (d) 8
  12. 12.A batter has an average of 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 101 (b) 70 (c) 38 (d) 45
  13. 13.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 68? (a) 32 (b) 76 (c) 68 (d) 92
  14. 14.A batter has an average of 34 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 42 (b) 40 (c) 74 (d) 38
  15. 15.What is the average of 25, 40, 27, 20, 35 and 21? (a) 27 (b) 28 (c) 30 (d) 29
  16. 16.What is the average of 20, 41, 17, 22, 18 and 44? (a) 28 (b) 29 (c) 26 (d) 27
  17. 17.What is the average of 78, 63, 86 and 77? (a) 76 (b) 77 (c) 78 (d) 75
  18. 18.What is the average of 19, 32, 28, 34, 31 and 6? (a) 30 (b) 25 (c) 26 (d) 24
  19. 19.What is the average of 66, 69, 74 and 75? (a) 71 (b) 72 (c) 73 (d) 70
  20. 20.What is the average of all the whole numbers from 29 to 63? (a) 34 (b) 46 (c) 17 (d) 47
  21. 21.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 30 (b) 27 (c) 48 (d) 24
  22. 22.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 45 (b) 24 (c) 12 (d) 33
  23. 23.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 59 (b) 32 (c) 60 (d) 61
  24. 24.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 20 (b) 50 (c) 64 (d) 34
  25. 25.A batter has an average of 48 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 18 (b) 54 (c) 51 (d) 66
  26. 26.What is the average of 50, 62, 61, 55 and 62? (a) 57 (b) 60 (c) 58 (d) 59
  27. 27.What is the average of 35, 20, 31, 25 and 34? (a) 29 (b) 31 (c) 28 (d) 30
  28. 28.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 21 (b) 18 (c) 35 (d) 4
  29. 29.What is the average of 32, 34, 45, 16, 22 and 31? (a) 31 (b) 29 (c) 30 (d) 36
  30. 30.What is the average of all the whole numbers from 48 to 54? (a) 51 (b) 52 (c) 3 (d) 6
  31. 31.What is the average of 29, 19, 19 and 53? (a) 30 (b) 40 (c) 29 (d) 31
  32. 32.What is the average of 73, 72, 54 and 45? (a) 60 (b) 63 (c) 61 (d) 62
  33. 33.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 97 (b) 15 (c) 62 (d) 50
  34. 34.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 31 (c) 43 (d) 18
  35. 35.What is the average of 62, 50, 58, 59, 68 and 45? (a) 58 (b) 59 (c) 57 (d) 56
  36. 36.What is the average of all the whole numbers from 16 to 22? (a) 6 (b) 19 (c) 20 (d) 3
  37. 37.A batter has an average of 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 30 (b) 76 (c) 52 (d) 49
  38. 38.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 32 (b) 34 (c) 18 (d) 33
  39. 39.What is the average of 21, 16, 13, 31, 39 and 48? (a) 29 (b) 27 (c) 28 (d) 30
  40. 40.What is the average of all the whole numbers from 11 to 23? (a) 6 (b) 17 (c) 12 (d) 18

Answer key

  1. 48
  2. 63
  3. 26
  4. 52
  5. 38
  6. 11
  7. 49
  8. 35
  9. 55
  10. 23
  11. 8
  12. 101
  13. 92
  14. 74
  15. 28
  16. 27
  17. 76
  18. 25
  19. 71
  20. 46
  21. 48
  22. 33
  23. 60
  24. 50
  25. 66
  26. 58
  27. 29
  28. 21
  29. 30
  30. 51
  31. 30
  32. 61
  33. 62
  34. 43
  35. 57
  36. 19
  37. 76
  38. 33
  39. 28
  40. 17

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