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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 181 · 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 39 runs in 5 matches. How many runs are needed in the next match to raise the average to 46? (a) 81 (b) 42 (c) 53 (d) 46
  2. 2.What is the average of all the whole numbers from 44 to 78? (a) 34 (b) 17 (c) 62 (d) 61
  3. 3.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 35 (c) 58 (d) 83
  4. 4.A batter has an average of 36 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 48 (c) 84 (d) 85
  5. 5.What is the average of 75, 64, 75 and 50? (a) 65 (b) 67 (c) 66 (d) 88
  6. 6.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 95 (b) 5 (c) 52 (d) 48
  7. 7.What is the average of 27, 26, 34 and 1? (a) 22 (b) 24 (c) 23 (d) 21
  8. 8.What is the average of all the whole numbers from 13 to 29? (a) 21 (b) 8 (c) 22 (d) 16
  9. 9.What is the average of 34, 35, 35, 21, 25 and 42? (a) 34 (b) 32 (c) 33 (d) 31
  10. 10.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 7 (b) 43 (c) 49 (d) 85
  11. 11.What is the average of 81, 78, 65, 75, 62 and 47? (a) 67 (b) 70 (c) 68 (d) 69
  12. 12.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 31 (b) 42 (c) 87 (d) 30
  13. 13.What is the average of 50, 68, 76, 65 and 51? (a) 64 (b) 61 (c) 62 (d) 63
  14. 14.What is the average of all the whole numbers from 53 to 69? (a) 8 (b) 61 (c) 62 (d) 16
  15. 15.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) 94 (b) 35 (c) 69 (d) 64
  16. 16.A batter has an average of 53 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 125 (b) 61 (c) 69 (d) 72
  17. 17.What is the average of 64, 58, 53 and 49? (a) 55 (b) 56 (c) 58 (d) 57
  18. 18.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) 24 (b) 68 (c) 47 (d) 50
  19. 19.What is the average of all the whole numbers from 55 to 93? (a) 19 (b) 38 (c) 74 (d) 75
  20. 20.What is the average of 31, 31, 32 and 34? (a) 33 (b) 31 (c) 32 (d) 34
  21. 21.What is the average of 64, 89, 67, 64 and 101? (a) 78 (b) 79 (c) 76 (d) 77
  22. 22.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 71 (b) 13 (c) 14 (d) 33
  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) 48 (b) 16 (c) 26 (d) 38
  24. 24.A batter has an average of 25 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 73 (b) 48 (c) 31 (d) 37
  25. 25.What is the average of 84, 74, 59 and 63? (a) 71 (b) 72 (c) 69 (d) 70
  26. 26.What is the average of all the whole numbers from 29 to 41? (a) 35 (b) 6 (c) 12 (d) 36
  27. 27.What is the average of all the whole numbers from 42 to 74? (a) 32 (b) 59 (c) 16 (d) 58
  28. 28.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 12 (b) 47 (c) 91 (d) 56
  29. 29.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 14 (b) 30 (c) 23 (d) 39
  30. 30.What is the average of 73, 69, 78, 69 and 31? (a) 63 (b) 65 (c) 64 (d) 80
  31. 31.What is the average of all the whole numbers from 45 to 65? (a) 55 (b) 20 (c) 10 (d) 56
  32. 32.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 59? (a) 59 (b) 64 (c) 74 (d) 20
  33. 33.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 54 (b) 30 (c) 27 (d) 33
  34. 34.What is the average of 58, 58, 55, 47, 54 and 40? (a) 51 (b) 52 (c) 53 (d) 54
  35. 35.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 43? (a) 12 (b) 43 (c) 46 (d) 52
  36. 36.What is the average of all the whole numbers from 42 to 76? (a) 17 (b) 60 (c) 59 (d) 34
  37. 37.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 64 (b) 55 (c) 12 (d) 58
  38. 38.What is the average of 60, 80, 60 and 100? (a) 74 (b) 76 (c) 75 (d) 100
  39. 39.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 9 (b) 37 (c) 17 (d) 8
  40. 40.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 28 (b) 32 (c) 60 (d) 56

Answer key

  1. 81
  2. 61
  3. 83
  4. 84
  5. 66
  6. 52
  7. 22
  8. 21
  9. 32
  10. 49
  11. 68
  12. 30
  13. 62
  14. 61
  15. 94
  16. 125
  17. 56
  18. 68
  19. 74
  20. 32
  21. 77
  22. 13
  23. 38
  24. 73
  25. 70
  26. 35
  27. 58
  28. 56
  29. 39
  30. 64
  31. 55
  32. 74
  33. 54
  34. 52
  35. 52
  36. 59
  37. 64
  38. 75
  39. 8
  40. 56

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