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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 94 · 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 57 runs in 6 matches. How many runs are needed in the next match to raise the average to 64? (a) 71 (b) 64 (c) 49 (d) 106
  2. 2.What is the average of 61, 61, 54, 70, 82 and 74? (a) 66 (b) 67 (c) 69 (d) 68
  3. 3.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 8 (c) 43 (d) 39
  4. 4.What is the average of all the whole numbers from 38 to 74? (a) 18 (b) 57 (c) 56 (d) 36
  5. 5.A batter has an average of 54 runs in 7 matches. How many runs are needed in the next match to raise the average to 61? (a) 56 (b) 68 (c) 110 (d) 61
  6. 6.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 45? (a) 24 (b) 45 (c) 63 (d) 51
  7. 7.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 50 (c) 38 (d) 18
  8. 8.What is the average of all the whole numbers from 49 to 55? (a) 53 (b) 3 (c) 6 (d) 52
  9. 9.What is the average of all the whole numbers from 19 to 49? (a) 15 (b) 30 (c) 35 (d) 34
  10. 10.What is the average of 23, 39, 41 and 1? (a) 27 (b) 26 (c) 25 (d) 28
  11. 11.A batter has an average of 59 runs in 6 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 69 (c) 35 (d) 94
  12. 12.What is the average of 65, 62, 79 and 102? (a) 77 (b) 76 (c) 78 (d) 79
  13. 13.What is the average of 69, 79, 60, 62, 72 and 96? (a) 74 (b) 72 (c) 73 (d) 75
  14. 14.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 60 (b) 18 (c) 29 (d) 17
  15. 15.What is the average of 44, 68, 45, 42, 45 and 74? (a) 54 (b) 55 (c) 53 (d) 52
  16. 16.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 85 (b) 75 (c) 45 (d) 35
  17. 17.What is the average of all the whole numbers from 38 to 48? (a) 43 (b) 5 (c) 44 (d) 10
  18. 18.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 25 (b) 18 (c) 6 (d) 13
  19. 19.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 21 (b) 47 (c) 2 (d) 1
  20. 20.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 2 (b) 10 (c) 1 (d) 23
  21. 21.What is the average of 90, 89, 81, 91, 88 and 41? (a) 79 (b) 80 (c) 96 (d) 81
  22. 22.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 36? (a) 36 (b) 90 (c) 42 (d) 60
  23. 23.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 45? (a) 35 (b) 45 (c) 50 (d) 75
  24. 24.A batter has an average of 20 runs in 6 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 35 (c) 55 (d) 30
  25. 25.What is the average of all the whole numbers from 34 to 56? (a) 45 (b) 11 (c) 46 (d) 22
  26. 26.A batter has an average of 55 runs in 7 matches. How many runs are needed in the next match to raise the average to 57? (a) 71 (b) 16 (c) 59 (d) 57
  27. 27.What is the average of 53, 50, 61, 46 and 95? (a) 63 (b) 62 (c) 61 (d) 60
  28. 28.What is the average of 70, 78, 57, 78 and 47? (a) 68 (b) 65 (c) 67 (d) 66
  29. 29.A batter has an average of 39 runs in 6 matches. How many runs are needed in the next match to raise the average to 45? (a) 42 (b) 45 (c) 51 (d) 81
  30. 30.A batter has an average of 50 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 58 (b) 28 (c) 78 (d) 54
  31. 31.What is the average of 44, 37, 25, 29, 21 and 48? (a) 34 (b) 36 (c) 33 (d) 35
  32. 32.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 39 (b) 69 (c) 34 (d) 40
  33. 33.What is the average of 60, 60, 59 and 21? (a) 52 (b) 50 (c) 51 (d) 49
  34. 34.What is the average of 60, 56, 77, 80 and 77? (a) 70 (b) 69 (c) 72 (d) 71
  35. 35.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 14 (b) 16 (c) 13 (d) 33
  36. 36.A batter has an average of 60 runs in 6 matches. How many runs are needed in the next match to raise the average to 68? (a) 56 (b) 116 (c) 68 (d) 76
  37. 37.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 71 (b) 12 (c) 46 (d) 37
  38. 38.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 85 (b) 41 (c) 24 (d) 23
  39. 39.What is the average of 65, 41, 41, 48 and 85? (a) 70 (b) 57 (c) 56 (d) 55
  40. 40.What is the average of 37, 35, 45 and 11? (a) 33 (b) 32 (c) 31 (d) 34

Answer key

  1. 106
  2. 67
  3. 43
  4. 56
  5. 110
  6. 63
  7. 50
  8. 52
  9. 34
  10. 26
  11. 94
  12. 77
  13. 73
  14. 17
  15. 53
  16. 75
  17. 43
  18. 18
  19. 1
  20. 1
  21. 80
  22. 90
  23. 75
  24. 55
  25. 45
  26. 71
  27. 61
  28. 66
  29. 81
  30. 78
  31. 34
  32. 69
  33. 50
  34. 70
  35. 13
  36. 116
  37. 46
  38. 23
  39. 56
  40. 32

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