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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 630 · 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 17 to 49? (a) 32 (b) 16 (c) 34 (d) 33
  2. 2.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 22 (b) 13 (c) 41 (d) 32
  3. 3.What is the average of all the whole numbers from 59 to 79? (a) 70 (b) 20 (c) 10 (d) 69
  4. 4.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 59 (b) 39 (c) 73 (d) 25
  5. 5.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 63? (a) 48 (b) 103 (c) 71 (d) 63
  6. 6.What is the average of 87, 64, 72 and 65? (a) 71 (b) 72 (c) 96 (d) 73
  7. 7.What is the average of all the whole numbers from 13 to 25? (a) 6 (b) 12 (c) 20 (d) 19
  8. 8.What is the average of all the whole numbers from 11 to 25? (a) 18 (b) 7 (c) 19 (d) 14
  9. 9.What is the average of 36, 28, 28 and 44? (a) 35 (b) 36 (c) 33 (d) 34
  10. 10.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 37? (a) 35 (b) 37 (c) 67 (d) 42
  11. 11.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 27 (b) 19 (c) 20 (d) 12
  12. 12.What is the average of all the whole numbers from 41 to 77? (a) 36 (b) 60 (c) 59 (d) 18
  13. 13.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 35 (b) 28 (c) 12 (d) 19
  14. 14.What is the average of 19, 41, 45 and 27? (a) 32 (b) 33 (c) 34 (d) 44
  15. 15.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 37? (a) 25 (b) 42 (c) 57 (d) 37
  16. 16.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 47 (b) 32 (c) 20 (d) 59
  17. 17.A batter has an average of 46 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 62 (b) 102 (c) 56 (d) 54
  18. 18.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 25 (b) 80 (c) 39 (d) 26
  19. 19.What is the average of all the whole numbers from 50 to 58? (a) 8 (b) 54 (c) 4 (d) 55
  20. 20.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 28 (b) 25 (c) 12 (d) 15
  21. 21.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 78 (b) 8 (c) 40 (d) 46
  22. 22.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 46 (b) 58 (c) 42 (d) 20
  23. 23.What is the average of 63, 66, 81, 75, 91 and 80? (a) 75 (b) 78 (c) 76 (d) 77
  24. 24.What is the average of all the whole numbers from 14 to 34? (a) 20 (b) 25 (c) 24 (d) 10
  25. 25.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 30 (c) 70 (d) 88
  26. 26.What is the average of 10, 33, 21 and 24? (a) 24 (b) 23 (c) 21 (d) 22
  27. 27.A batter has an average of 41 runs in 6 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 62 (c) 21 (d) 47
  28. 28.What is the average of 63, 85, 70 and 62? (a) 71 (b) 69 (c) 72 (d) 70
  29. 29.What is the average of 62, 48, 58 and 72? (a) 80 (b) 60 (c) 59 (d) 61
  30. 30.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) 40 (b) 20 (c) 36 (d) 52
  31. 31.What is the average of all the whole numbers from 21 to 55? (a) 39 (b) 34 (c) 17 (d) 38
  32. 32.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 38 (b) 23 (c) 43 (d) 18
  33. 33.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 49 (b) 39 (c) 34 (d) 20
  34. 34.What is the average of 70, 63, 71 and 108? (a) 79 (b) 77 (c) 104 (d) 78
  35. 35.What is the average of 68, 71, 65, 49, 46 and 37? (a) 57 (b) 55 (c) 56 (d) 58
  36. 36.What is the average of all the whole numbers from 48 to 82? (a) 66 (b) 17 (c) 65 (d) 34
  37. 37.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 30 (b) 28 (c) 54 (d) 56
  38. 38.A batter has an average of 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 20 (b) 43 (c) 33 (d) 28
  39. 39.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 48 (c) 32 (d) 64
  40. 40.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 73 (b) 42 (c) 38 (d) 45

Answer key

  1. 33
  2. 41
  3. 69
  4. 59
  5. 103
  6. 72
  7. 19
  8. 18
  9. 34
  10. 67
  11. 27
  12. 59
  13. 28
  14. 33
  15. 57
  16. 47
  17. 102
  18. 25
  19. 54
  20. 25
  21. 46
  22. 58
  23. 76
  24. 24
  25. 88
  26. 22
  27. 62
  28. 70
  29. 60
  30. 52
  31. 38
  32. 38
  33. 49
  34. 78
  35. 56
  36. 65
  37. 54
  38. 43
  39. 64
  40. 73

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