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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 238 · 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 78, 83, 67, 67, 80 and 69? (a) 73 (b) 75 (c) 74 (d) 76
  2. 2.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 68 (c) 20 (d) 58
  3. 3.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 28? (a) 50 (b) 35 (c) 49 (d) 28
  4. 4.What is the average of all the whole numbers from 24 to 36? (a) 12 (b) 6 (c) 31 (d) 30
  5. 5.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 48 (b) 62 (c) 16 (d) 94
  6. 6.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 34 (b) 67 (c) 39 (d) 6
  7. 7.What is the average of all the whole numbers from 17 to 25? (a) 21 (b) 4 (c) 8 (d) 22
  8. 8.What is the average of all the whole numbers from 9 to 19? (a) 10 (b) 5 (c) 14 (d) 15
  9. 9.A batter has an average of 40 runs in 5 matches. How many runs are needed in the next match to raise the average to 43? (a) 18 (b) 43 (c) 46 (d) 58
  10. 10.What is the average of 17, 41, 38 and 20? (a) 28 (b) 30 (c) 29 (d) 31
  11. 11.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 60 (b) 32 (c) 48 (d) 20
  12. 12.What is the average of 33, 27, 23 and 69? (a) 39 (b) 37 (c) 40 (d) 38
  13. 13.What is the average of 74, 81, 71, 67, 78 and 55? (a) 71 (b) 73 (c) 70 (d) 72
  14. 14.What is the average of all the whole numbers from 47 to 53? (a) 51 (b) 3 (c) 50 (d) 6
  15. 15.What is the average of all the whole numbers from 28 to 38? (a) 10 (b) 34 (c) 5 (d) 33
  16. 16.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 39? (a) 39 (b) 51 (c) 43 (d) 16
  17. 17.What is the average of 67, 62, 68 and 95? (a) 75 (b) 73 (c) 72 (d) 74
  18. 18.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 24 (b) 12 (c) 33 (d) 21
  19. 19.What is the average of 6, 18, 29, 8, 32 and 27? (a) 20 (b) 24 (c) 21 (d) 19
  20. 20.What is the average of 10, 12, 38 and 32? (a) 24 (b) 22 (c) 23 (d) 25
  21. 21.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 73 (b) 20 (c) 34 (d) 19
  22. 22.A batter has an average of 43 runs in 8 matches. How many runs are needed in the next match to raise the average to 50? (a) 57 (b) 106 (c) 50 (d) 63
  23. 23.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 10 (b) 52 (c) 27 (d) 35
  24. 24.What is the average of 59, 77, 81 and 59? (a) 92 (b) 69 (c) 68 (d) 70
  25. 25.What is the average of 48, 52, 54 and 78? (a) 60 (b) 58 (c) 57 (d) 59
  26. 26.What is the average of 65, 42, 41, 61 and 56? (a) 53 (b) 52 (c) 54 (d) 55
  27. 27.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 18 (b) 8 (c) 22 (d) 12
  28. 28.What is the average of all the whole numbers from 57 to 65? (a) 4 (b) 62 (c) 8 (d) 61
  29. 29.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 78 (b) 50 (c) 32 (d) 96
  30. 30.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 41? (a) 41 (b) 20 (c) 59 (d) 43
  31. 31.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 59 (b) 54 (c) 40 (d) 89
  32. 32.What is the average of all the whole numbers from 27 to 47? (a) 10 (b) 38 (c) 20 (d) 37
  33. 33.What is the average of all the whole numbers from 56 to 72? (a) 16 (b) 65 (c) 64 (d) 8
  34. 34.A batter has an average of 39 runs in 7 matches. How many runs are needed in the next match to raise the average to 46? (a) 53 (b) 95 (c) 56 (d) 46
  35. 35.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 54 (b) 42 (c) 45 (d) 15
  36. 36.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 13 (b) 24 (c) 12 (d) 23
  37. 37.What is the average of 18, 17, 14 and 63? (a) 30 (b) 27 (c) 28 (d) 29
  38. 38.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 15 (c) 73 (d) 64
  39. 39.What is the average of 59, 54, 49, 55, 50 and 57? (a) 53 (b) 55 (c) 56 (d) 54
  40. 40.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 40 (b) 20 (c) 19 (d) 83

Answer key

  1. 74
  2. 68
  3. 49
  4. 30
  5. 62
  6. 39
  7. 21
  8. 14
  9. 58
  10. 29
  11. 48
  12. 38
  13. 71
  14. 50
  15. 33
  16. 51
  17. 73
  18. 33
  19. 20
  20. 23
  21. 19
  22. 106
  23. 35
  24. 69
  25. 58
  26. 53
  27. 18
  28. 61
  29. 78
  30. 59
  31. 89
  32. 37
  33. 64
  34. 95
  35. 54
  36. 23
  37. 28
  38. 73
  39. 54
  40. 19

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