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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 716 · 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 55, 56, 70, 78, 63 and 98? (a) 70 (b) 84 (c) 71 (d) 69
  2. 2.What is the average of 30, 23, 27 and 64? (a) 48 (b) 36 (c) 37 (d) 35
  3. 3.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 24? (a) 60 (b) 28 (c) 40 (d) 24
  4. 4.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 28 (b) 35 (c) 66 (d) 59
  5. 5.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 66 (b) 46 (c) 14 (d) 34
  6. 6.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 44 (b) 102 (c) 50 (d) 45
  7. 7.What is the average of 19, 36, 48, 26, 30 and 45? (a) 33 (b) 34 (c) 36 (d) 35
  8. 8.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 60 (b) 109 (c) 108 (d) 54
  9. 9.What is the average of 53, 44, 38, 51 and 79? (a) 52 (b) 53 (c) 54 (d) 55
  10. 10.What is the average of 88, 68, 62 and 86? (a) 78 (b) 77 (c) 76 (d) 75
  11. 11.What is the average of all the whole numbers from 8 to 18? (a) 5 (b) 14 (c) 10 (d) 13
  12. 12.What is the average of all the whole numbers from 59 to 87? (a) 73 (b) 74 (c) 14 (d) 28
  13. 13.What is the average of 17, 29, 42, 14, 40 and 26? (a) 29 (b) 27 (c) 30 (d) 28
  14. 14.What is the average of 41, 33, 21 and 41? (a) 33 (b) 36 (c) 35 (d) 34
  15. 15.What is the average of 86, 63, 59 and 80? (a) 73 (b) 71 (c) 72 (d) 96
  16. 16.What is the average of 36, 18, 25, 44, 34 and 23? (a) 30 (b) 36 (c) 31 (d) 29
  17. 17.What is the average of all the whole numbers from 16 to 56? (a) 36 (b) 20 (c) 37 (d) 40
  18. 18.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 56? (a) 27 (b) 56 (c) 59 (d) 80
  19. 19.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 44? (a) 107 (b) 44 (c) 51 (d) 70
  20. 20.What is the average of 44, 48, 43, 38, 37 and 24? (a) 41 (b) 40 (c) 39 (d) 38
  21. 21.What is the average of all the whole numbers from 51 to 87? (a) 69 (b) 70 (c) 36 (d) 18
  22. 22.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 44 (b) 38 (c) 42 (d) 74
  23. 23.What is the average of 70, 65, 80, 87 and 98? (a) 81 (b) 79 (c) 80 (d) 100
  24. 24.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 22 (b) 20 (c) 21 (d) 12
  25. 25.What is the average of all the whole numbers from 11 to 19? (a) 8 (b) 15 (c) 4 (d) 16
  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 52? (a) 52 (b) 28 (c) 73 (d) 59
  27. 27.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 97 (c) 70 (d) 41
  28. 28.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 17 (b) 16 (c) 71 (d) 34
  29. 29.What is the average of all the whole numbers from 8 to 16? (a) 12 (b) 13 (c) 4 (d) 8
  30. 30.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 33 (b) 31 (c) 8 (d) 37
  31. 31.What is the average of 52, 56, 62 and 94? (a) 67 (b) 88 (c) 65 (d) 66
  32. 32.What is the average of all the whole numbers from 43 to 63? (a) 20 (b) 54 (c) 10 (d) 53
  33. 33.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 3 (b) 18 (c) 4 (d) 41
  34. 34.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 29 (b) 9 (c) 14 (d) 10
  35. 35.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 27 (b) 13 (c) 8 (d) 9
  36. 36.A batter has an average of 59 runs in 5 matches. How many runs are needed in the next match to raise the average to 63? (a) 83 (b) 24 (c) 63 (d) 67
  37. 37.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 37 (b) 6 (c) 5 (d) 17
  38. 38.What is the average of all the whole numbers from 30 to 50? (a) 40 (b) 41 (c) 10 (d) 20
  39. 39.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 70 (b) 28 (c) 46 (d) 50
  40. 40.What is the average of all the whole numbers from 57 to 97? (a) 40 (b) 78 (c) 20 (d) 77

Answer key

  1. 70
  2. 36
  3. 60
  4. 59
  5. 46
  6. 44
  7. 34
  8. 108
  9. 53
  10. 76
  11. 13
  12. 73
  13. 28
  14. 34
  15. 72
  16. 30
  17. 36
  18. 80
  19. 107
  20. 39
  21. 69
  22. 74
  23. 80
  24. 21
  25. 15
  26. 73
  27. 97
  28. 16
  29. 12
  30. 37
  31. 66
  32. 53
  33. 3
  34. 9
  35. 8
  36. 83
  37. 5
  38. 40
  39. 70
  40. 77

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