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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 536 · 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 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 88 (b) 60 (c) 36 (d) 56
  2. 2.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 82 (b) 42 (c) 52 (d) 12
  3. 3.What is the average of all the whole numbers from 51 to 91? (a) 71 (b) 20 (c) 72 (d) 40
  4. 4.A batter has an average of 54 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 72 (b) 70 (c) 126 (d) 62
  5. 5.What is the average of all the whole numbers from 58 to 90? (a) 32 (b) 16 (c) 75 (d) 74
  6. 6.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 26? (a) 26 (b) 32 (c) 74 (d) 54
  7. 7.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 32 (b) 37 (c) 29 (d) 53
  8. 8.What is the average of 11, 26, 32, 41, 36 and 10? (a) 26 (b) 27 (c) 25 (d) 28
  9. 9.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 18 (c) 47 (d) 59
  10. 10.What is the average of 36, 34, 13 and 13? (a) 25 (b) 23 (c) 32 (d) 24
  11. 11.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 42 (b) 80 (c) 24 (d) 62
  12. 12.What is the average of all the whole numbers from 45 to 75? (a) 60 (b) 30 (c) 61 (d) 15
  13. 13.What is the average of 40, 42, 64, 56, 43 and 49? (a) 48 (b) 49 (c) 50 (d) 51
  14. 14.What is the average of 31, 8, 19 and 26? (a) 22 (b) 28 (c) 21 (d) 20
  15. 15.What is the average of all the whole numbers from 28 to 46? (a) 18 (b) 38 (c) 37 (d) 9
  16. 16.What is the average of all the whole numbers from 6 to 28? (a) 18 (b) 11 (c) 22 (d) 17
  17. 17.What is the average of all the whole numbers from 35 to 47? (a) 42 (b) 12 (c) 6 (d) 41
  18. 18.What is the average of all the whole numbers from 6 to 16? (a) 11 (b) 12 (c) 5 (d) 10
  19. 19.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 36 (c) 57 (d) 29
  20. 20.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 61 (b) 57 (c) 73 (d) 20
  21. 21.What is the average of 76, 60, 71 and 41? (a) 63 (b) 62 (c) 64 (d) 61
  22. 22.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 17 (b) 18 (c) 10 (d) 19
  23. 23.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) 15 (c) 45 (d) 35
  24. 24.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 37 (b) 7 (c) 8 (d) 79
  25. 25.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 26? (a) 46 (b) 30 (c) 26 (d) 24
  26. 26.A batter has an average of 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 20 (b) 66 (c) 48 (d) 50
  27. 27.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 24 (c) 39 (d) 51
  28. 28.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 85 (b) 64 (c) 27 (d) 61
  29. 29.What is the average of 32, 29, 31 and 48? (a) 34 (b) 35 (c) 37 (d) 36
  30. 30.What is the average of 27, 41, 24 and 32? (a) 31 (b) 30 (c) 32 (d) 33
  31. 31.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 18 (b) 40 (c) 7 (d) 6
  32. 32.What is the average of all the whole numbers from 49 to 55? (a) 3 (b) 6 (c) 53 (d) 52
  33. 33.What is the average of all the whole numbers from 54 to 64? (a) 59 (b) 5 (c) 10 (d) 60
  34. 34.What is the average of all the whole numbers from 56 to 66? (a) 62 (b) 5 (c) 61 (d) 10
  35. 35.What is the average of 52, 75, 58, 68, 79 and 64? (a) 67 (b) 68 (c) 65 (d) 66
  36. 36.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 19 (b) 10 (c) 9 (d) 40
  37. 37.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 25 (c) 46 (d) 61
  38. 38.What is the average of 9, 19, 12, 7, 17 and 56? (a) 19 (b) 24 (c) 21 (d) 20
  39. 39.What is the average of all the whole numbers from 53 to 79? (a) 26 (b) 13 (c) 67 (d) 66
  40. 40.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 17 (b) 33 (c) 22 (d) 6

Answer key

  1. 88
  2. 52
  3. 71
  4. 126
  5. 74
  6. 74
  7. 53
  8. 26
  9. 59
  10. 24
  11. 62
  12. 60
  13. 49
  14. 21
  15. 37
  16. 17
  17. 41
  18. 11
  19. 57
  20. 73
  21. 62
  22. 18
  23. 45
  24. 7
  25. 46
  26. 66
  27. 51
  28. 85
  29. 35
  30. 31
  31. 6
  32. 52
  33. 59
  34. 61
  35. 66
  36. 9
  37. 61
  38. 20
  39. 66
  40. 22

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