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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 714 · 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.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 32 (b) 40 (c) 62 (d) 27
  2. 2.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 70 (c) 20 (d) 58
  3. 3.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 47 (c) 79 (d) 40
  4. 4.What is the average of 42, 63, 68, 48, 68 and 41? (a) 54 (b) 55 (c) 66 (d) 56
  5. 5.What is the average of all the whole numbers from 31 to 61? (a) 47 (b) 46 (c) 15 (d) 30
  6. 6.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 39? (a) 47 (b) 80 (c) 111 (d) 39
  7. 7.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 40 (b) 97 (c) 65 (d) 61
  8. 8.What is the average of all the whole numbers from 21 to 57? (a) 18 (b) 40 (c) 39 (d) 36
  9. 9.What is the average of all the whole numbers from 17 to 29? (a) 6 (b) 24 (c) 23 (d) 12
  10. 10.What is the average of 63, 58, 52, 47 and 55? (a) 54 (b) 55 (c) 56 (d) 57
  11. 11.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 39 (b) 52 (c) 14 (d) 27
  12. 12.What is the average of 74, 58, 75, 79 and 54? (a) 69 (b) 67 (c) 68 (d) 85
  13. 13.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 27 (b) 55 (c) 24 (d) 23
  14. 14.What is the average of all the whole numbers from 53 to 77? (a) 24 (b) 66 (c) 12 (d) 65
  15. 15.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 29 (b) 26 (c) 24 (d) 47
  16. 16.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 22? (a) 22 (b) 18 (c) 24 (d) 38
  17. 17.A batter has an average of 38 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 59 (b) 41 (c) 21 (d) 44
  18. 18.What is the average of all the whole numbers from 27 to 33? (a) 6 (b) 3 (c) 31 (d) 30
  19. 19.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 63 (c) 47 (d) 32
  20. 20.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 12 (b) 13 (c) 68 (d) 32
  21. 21.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 5 (b) 20 (c) 6 (d) 45
  22. 22.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 45 (b) 46 (c) 81 (d) 41
  23. 23.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 58 (c) 8 (d) 62
  24. 24.A batter has an average of 35 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 12 (b) 37 (c) 47 (d) 39
  25. 25.What is the average of all the whole numbers from 25 to 37? (a) 12 (b) 31 (c) 6 (d) 32
  26. 26.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 53 (b) 8 (c) 49 (d) 47
  27. 27.What is the average of all the whole numbers from 15 to 49? (a) 32 (b) 34 (c) 33 (d) 17
  28. 28.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 31 (b) 12 (c) 11 (d) 66
  29. 29.A batter has an average of 36 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 21 (b) 57 (c) 42 (d) 39
  30. 30.What is the average of 76, 64, 85 and 71? (a) 73 (b) 76 (c) 74 (d) 75
  31. 31.What is the average of all the whole numbers from 46 to 60? (a) 54 (b) 7 (c) 53 (d) 14
  32. 32.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 81 (b) 13 (c) 38 (d) 14
  33. 33.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 19 (b) 44 (c) 30 (d) 33
  34. 34.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 35 (b) 47 (c) 16 (d) 66
  35. 35.What is the average of all the whole numbers from 25 to 63? (a) 44 (b) 19 (c) 38 (d) 45
  36. 36.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) 39 (b) 4 (c) 18 (d) 3
  37. 37.What is the average of all the whole numbers from 26 to 50? (a) 24 (b) 12 (c) 38 (d) 39
  38. 38.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 10 (b) 21 (c) 4 (d) 3
  39. 39.What is the average of all the whole numbers from 15 to 33? (a) 24 (b) 9 (c) 18 (d) 25
  40. 40.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 16 (b) 21 (c) 33 (d) 38

Answer key

  1. 62
  2. 70
  3. 79
  4. 55
  5. 46
  6. 111
  7. 97
  8. 39
  9. 23
  10. 55
  11. 39
  12. 68
  13. 23
  14. 65
  15. 47
  16. 38
  17. 59
  18. 30
  19. 63
  20. 12
  21. 5
  22. 81
  23. 62
  24. 47
  25. 31
  26. 53
  27. 32
  28. 11
  29. 57
  30. 74
  31. 53
  32. 13
  33. 44
  34. 47
  35. 44
  36. 3
  37. 38
  38. 3
  39. 24
  40. 33

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