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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 882 · 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 45, 68, 50, 60 and 62? (a) 59 (b) 57 (c) 58 (d) 56
  2. 2.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 34? (a) 18 (b) 50 (c) 36 (d) 34
  3. 3.What is the average of all the whole numbers from 18 to 50? (a) 35 (b) 16 (c) 32 (d) 34
  4. 4.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 35 (b) 36 (c) 66 (d) 67
  5. 5.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 16 (b) 20 (c) 26 (d) 10
  6. 6.What is the average of all the whole numbers from 42 to 76? (a) 34 (b) 17 (c) 59 (d) 60
  7. 7.What is the average of 82, 92, 76, 71 and 69? (a) 78 (b) 80 (c) 77 (d) 79
  8. 8.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 35 (c) 91 (d) 66
  9. 9.What is the average of all the whole numbers from 48 to 64? (a) 8 (b) 57 (c) 16 (d) 56
  10. 10.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 57 (b) 81 (c) 42 (d) 18
  11. 11.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) 25 (b) 39 (c) 73 (d) 59
  12. 12.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 33 (b) 39 (c) 15 (d) 21
  13. 13.What is the average of all the whole numbers from 55 to 95? (a) 40 (b) 20 (c) 76 (d) 75
  14. 14.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 24? (a) 36 (b) 24 (c) 56 (d) 28
  15. 15.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 72 (b) 48 (c) 112 (d) 56
  16. 16.What is the average of all the whole numbers from 56 to 74? (a) 66 (b) 18 (c) 65 (d) 9
  17. 17.What is the average of all the whole numbers from 34 to 50? (a) 16 (b) 43 (c) 8 (d) 42
  18. 18.A batter has an average of 56 runs in 3 matches. How many runs are needed in the next match to raise the average to 63? (a) 70 (b) 84 (c) 28 (d) 63
  19. 19.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 110 (b) 46 (c) 80 (d) 38
  20. 20.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 6 (b) 23 (c) 49 (d) 5
  21. 21.What is the average of all the whole numbers from 58 to 66? (a) 63 (b) 4 (c) 62 (d) 8
  22. 22.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 10 (b) 72 (c) 45 (d) 37
  23. 23.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 32 (b) 29 (c) 21 (d) 47
  24. 24.What is the average of 14, 7, 12 and 55? (a) 23 (b) 24 (c) 22 (d) 21
  25. 25.What is the average of 22, 21, 36, 28 and 48? (a) 32 (b) 31 (c) 33 (d) 30
  26. 26.What is the average of all the whole numbers from 9 to 47? (a) 29 (b) 19 (c) 28 (d) 38
  27. 27.What is the average of 76, 72, 57, 49 and 51? (a) 63 (b) 62 (c) 61 (d) 60
  28. 28.What is the average of 94, 67, 68, 88 and 83? (a) 79 (b) 80 (c) 81 (d) 100
  29. 29.What is the average of 37, 17, 20 and 54? (a) 31 (b) 32 (c) 34 (d) 33
  30. 30.A batter has an average of 48 runs in 8 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 84 (c) 36 (d) 56
  31. 31.What is the average of all the whole numbers from 47 to 69? (a) 11 (b) 59 (c) 58 (d) 22
  32. 32.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 38 (b) 47 (c) 12 (d) 73
  33. 33.What is the average of all the whole numbers from 46 to 62? (a) 55 (b) 8 (c) 16 (d) 54
  34. 34.What is the average of 57, 37, 45, 45, 49 and 61? (a) 51 (b) 50 (c) 49 (d) 48
  35. 35.A batter has an average of 33 runs in 5 matches. How many runs are needed in the next match to raise the average to 36? (a) 39 (b) 18 (c) 36 (d) 51
  36. 36.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) 67 (b) 42 (c) 35 (d) 37
  37. 37.What is the average of all the whole numbers from 38 to 60? (a) 22 (b) 50 (c) 11 (d) 49
  38. 38.What is the average of all the whole numbers from 14 to 20? (a) 3 (b) 17 (c) 18 (d) 6
  39. 39.What is the average of 49, 52, 57 and 78? (a) 59 (b) 58 (c) 61 (d) 60
  40. 40.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 49 (b) 53 (c) 29 (d) 25

Answer key

  1. 57
  2. 50
  3. 34
  4. 66
  5. 26
  6. 59
  7. 78
  8. 91
  9. 56
  10. 57
  11. 59
  12. 33
  13. 75
  14. 56
  15. 112
  16. 65
  17. 42
  18. 84
  19. 110
  20. 5
  21. 62
  22. 45
  23. 47
  24. 22
  25. 31
  26. 28
  27. 61
  28. 80
  29. 32
  30. 84
  31. 58
  32. 47
  33. 54
  34. 49
  35. 51
  36. 67
  37. 49
  38. 17
  39. 59
  40. 49

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