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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 198 · 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 56, 64, 73, 56, 59 and 82? (a) 78 (b) 66 (c) 64 (d) 65
  2. 2.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 32 (c) 38 (d) 54
  3. 3.What is the average of all the whole numbers from 37 to 55? (a) 46 (b) 18 (c) 47 (d) 9
  4. 4.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 16 (b) 39 (c) 53 (d) 76
  5. 5.What is the average of 52, 51, 38 and 47? (a) 49 (b) 48 (c) 46 (d) 47
  6. 6.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 47? (a) 50 (b) 68 (c) 24 (d) 47
  7. 7.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 20 (b) 56 (c) 46 (d) 41
  8. 8.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 43 (b) 40 (c) 12 (d) 49
  9. 9.What is the average of all the whole numbers from 24 to 62? (a) 43 (b) 44 (c) 38 (d) 19
  10. 10.What is the average of 43, 45, 49, 29 and 4? (a) 36 (b) 33 (c) 34 (d) 35
  11. 11.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 80 (c) 52 (d) 42
  12. 12.What is the average of all the whole numbers from 56 to 92? (a) 75 (b) 74 (c) 18 (d) 36
  13. 13.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 22 (b) 4 (c) 5 (d) 47
  14. 14.What is the average of 40, 44, 43, 21, 50 and 18? (a) 36 (b) 35 (c) 37 (d) 38
  15. 15.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 22 (b) 59 (c) 23 (d) 29
  16. 16.What is the average of all the whole numbers from 41 to 61? (a) 10 (b) 52 (c) 51 (d) 20
  17. 17.What is the average of 23, 35, 27, 21 and 64? (a) 36 (b) 33 (c) 34 (d) 35
  18. 18.What is the average of 24, 13, 13 and 34? (a) 28 (b) 21 (c) 20 (d) 22
  19. 19.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 42 (b) 68 (c) 40 (d) 33
  20. 20.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 30 (b) 36 (c) 17 (d) 11
  21. 21.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 19 (b) 54 (c) 26 (d) 18
  22. 22.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 25 (b) 12 (c) 19 (d) 32
  23. 23.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 26 (b) 16 (c) 38 (d) 48
  24. 24.What is the average of all the whole numbers from 40 to 58? (a) 50 (b) 18 (c) 49 (d) 9
  25. 25.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 50 (b) 98 (c) 64 (d) 16
  26. 26.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 64? (a) 70 (b) 82 (c) 64 (d) 24
  27. 27.What is the average of 61, 70, 56, 66, 78 and 71? (a) 68 (b) 67 (c) 69 (d) 66
  28. 28.What is the average of all the whole numbers from 41 to 65? (a) 24 (b) 12 (c) 54 (d) 53
  29. 29.A batter has an average of 34 runs in 8 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 88 (c) 46 (d) 54
  30. 30.What is the average of all the whole numbers from 41 to 47? (a) 45 (b) 6 (c) 3 (d) 44
  31. 31.What is the average of 88, 66, 78, 63 and 80? (a) 75 (b) 74 (c) 77 (d) 76
  32. 32.What is the average of all the whole numbers from 20 to 50? (a) 36 (b) 30 (c) 35 (d) 15
  33. 33.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 20 (b) 54 (c) 50 (d) 66
  34. 34.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 74 (b) 28 (c) 36 (d) 29
  35. 35.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 24 (b) 32 (c) 19 (d) 11
  36. 36.What is the average of 56, 55, 59, 45 and 45? (a) 51 (b) 65 (c) 53 (d) 52
  37. 37.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 32 (b) 55 (c) 47 (d) 71
  38. 38.What is the average of all the whole numbers from 33 to 67? (a) 17 (b) 51 (c) 50 (d) 34
  39. 39.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 18 (b) 39 (c) 4 (d) 3
  40. 40.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 57 (b) 7 (c) 35 (d) 29

Answer key

  1. 65
  2. 54
  3. 46
  4. 53
  5. 47
  6. 68
  7. 56
  8. 49
  9. 43
  10. 34
  11. 80
  12. 74
  13. 4
  14. 36
  15. 22
  16. 51
  17. 34
  18. 21
  19. 68
  20. 36
  21. 18
  22. 32
  23. 38
  24. 49
  25. 64
  26. 82
  27. 67
  28. 53
  29. 88
  30. 44
  31. 75
  32. 35
  33. 66
  34. 28
  35. 32
  36. 52
  37. 71
  38. 50
  39. 3
  40. 35

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