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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 102 · 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 14 to 50? (a) 18 (b) 33 (c) 36 (d) 32
  2. 2.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 10 (b) 21 (c) 17 (d) 28
  3. 3.What is the average of 42, 56, 53, 36 and 63? (a) 52 (b) 50 (c) 49 (d) 51
  4. 4.What is the average of all the whole numbers from 41 to 53? (a) 12 (b) 6 (c) 47 (d) 48
  5. 5.A batter has an average of 54 runs in 7 matches. How many runs are needed in the next match to raise the average to 57? (a) 24 (b) 60 (c) 57 (d) 78
  6. 6.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 21 (b) 7 (c) 11 (d) 17
  7. 7.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 73 (b) 34 (c) 33 (d) 36
  8. 8.What is the average of all the whole numbers from 39 to 57? (a) 49 (b) 48 (c) 9 (d) 18
  9. 9.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 19 (b) 42 (c) 4 (d) 3
  10. 10.What is the average of 56, 68, 58, 76, 65 and 73? (a) 68 (b) 66 (c) 65 (d) 67
  11. 11.What is the average of all the whole numbers from 52 to 58? (a) 55 (b) 56 (c) 6 (d) 3
  12. 12.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 58 (b) 35 (c) 30 (d) 37
  13. 13.What is the average of all the whole numbers from 55 to 67? (a) 12 (b) 6 (c) 61 (d) 62
  14. 14.What is the average of all the whole numbers from 52 to 76? (a) 24 (b) 64 (c) 12 (d) 65
  15. 15.What is the average of 23, 39, 36, 14 and 28? (a) 27 (b) 35 (c) 28 (d) 29
  16. 16.What is the average of 17, 34, 42, 25 and 17? (a) 27 (b) 26 (c) 29 (d) 28
  17. 17.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 74 (b) 76 (c) 40 (d) 75
  18. 18.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 13 (b) 25 (c) 24 (d) 14
  19. 19.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 16 (b) 32 (c) 20 (d) 36
  20. 20.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 13 (b) 21 (c) 44 (d) 14
  21. 21.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 16 (b) 29 (c) 28 (d) 15
  22. 22.What is the average of 28, 26, 28, 29, 9 and 6? (a) 22 (b) 20 (c) 23 (d) 21
  23. 23.What is the average of all the whole numbers from 24 to 50? (a) 13 (b) 26 (c) 38 (d) 37
  24. 24.What is the average of 23, 28, 28, 17, 20 and 28? (a) 24 (b) 23 (c) 26 (d) 25
  25. 25.What is the average of all the whole numbers from 48 to 82? (a) 17 (b) 34 (c) 66 (d) 65
  26. 26.What is the average of 34, 41, 22, 22 and 61? (a) 37 (b) 35 (c) 45 (d) 36
  27. 27.What is the average of all the whole numbers from 19 to 33? (a) 7 (b) 14 (c) 27 (d) 26
  28. 28.What is the average of all the whole numbers from 11 to 17? (a) 3 (b) 14 (c) 15 (d) 6
  29. 29.What is the average of 56, 84, 65 and 71? (a) 68 (b) 92 (c) 70 (d) 69
  30. 30.What is the average of all the whole numbers from 34 to 48? (a) 7 (b) 14 (c) 42 (d) 41
  31. 31.What is the average of all the whole numbers from 20 to 28? (a) 8 (b) 25 (c) 4 (d) 24
  32. 32.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 45 (b) 20 (c) 40 (d) 55
  33. 33.What is the average of 30, 42, 42 and 26? (a) 35 (b) 37 (c) 36 (d) 34
  34. 34.What is the average of 72, 68, 71 and 17? (a) 57 (b) 58 (c) 56 (d) 76
  35. 35.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 12 (b) 98 (c) 50 (d) 60
  36. 36.What is the average of all the whole numbers from 22 to 28? (a) 3 (b) 26 (c) 6 (d) 25
  37. 37.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 55 (b) 47 (c) 92 (d) 10
  38. 38.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 25 (b) 35 (c) 15 (d) 45
  39. 39.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 52 (b) 40 (c) 20 (d) 36
  40. 40.A batter has an average of 46 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 48 (b) 52 (c) 94 (d) 58

Answer key

  1. 32
  2. 28
  3. 50
  4. 47
  5. 78
  6. 17
  7. 33
  8. 48
  9. 3
  10. 66
  11. 55
  12. 58
  13. 61
  14. 64
  15. 28
  16. 27
  17. 75
  18. 25
  19. 32
  20. 13
  21. 29
  22. 21
  23. 37
  24. 24
  25. 65
  26. 36
  27. 26
  28. 14
  29. 69
  30. 41
  31. 24
  32. 55
  33. 35
  34. 57
  35. 60
  36. 25
  37. 55
  38. 45
  39. 52
  40. 94

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