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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 17 · 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 67, 66, 94 and 93? (a) 82 (b) 81 (c) 80 (d) 79
  2. 2.What is the average of 19, 20, 28 and 45? (a) 30 (b) 28 (c) 27 (d) 29
  3. 3.What is the average of all the whole numbers from 55 to 79? (a) 68 (b) 12 (c) 24 (d) 67
  4. 4.What is the average of all the whole numbers from 22 to 52? (a) 30 (b) 37 (c) 15 (d) 38
  5. 5.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 42 (b) 74 (c) 34 (d) 48
  6. 6.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 20 (b) 24 (c) 12 (d) 32
  7. 7.What is the average of 44, 45, 33, 39 and 64? (a) 47 (b) 44 (c) 46 (d) 45
  8. 8.What is the average of all the whole numbers from 30 to 44? (a) 38 (b) 7 (c) 14 (d) 37
  9. 9.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 40? (a) 45 (b) 85 (c) 50 (d) 40
  10. 10.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 40 (c) 63 (d) 87
  11. 11.What is the average of 56, 52, 59, 37 and 36? (a) 60 (b) 48 (c) 49 (d) 47
  12. 12.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 82 (b) 63 (c) 43 (d) 24
  13. 13.What is the average of all the whole numbers from 51 to 71? (a) 10 (b) 61 (c) 20 (d) 62
  14. 14.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 60 (b) 29 (c) 23 (d) 24
  15. 15.What is the average of all the whole numbers from 50 to 78? (a) 64 (b) 14 (c) 28 (d) 65
  16. 16.A batter has an average of 46 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 60 (b) 53 (c) 102 (d) 56
  17. 17.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 51 (b) 45 (c) 8 (d) 88
  18. 18.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 71 (b) 18 (c) 19 (d) 33
  19. 19.What is the average of 43, 51, 60, 62 and 69? (a) 59 (b) 57 (c) 58 (d) 56
  20. 20.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 20 (b) 45 (c) 35 (d) 30
  21. 21.What is the average of all the whole numbers from 54 to 88? (a) 72 (b) 34 (c) 17 (d) 71
  22. 22.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 46 (b) 20 (c) 30 (d) 28
  23. 23.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 29? (a) 30 (b) 34 (c) 29 (d) 54
  24. 24.What is the average of 43, 23, 39, 31 and 9? (a) 31 (b) 30 (c) 29 (d) 28
  25. 25.What is the average of all the whole numbers from 35 to 43? (a) 8 (b) 39 (c) 4 (d) 40
  26. 26.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) 12 (b) 22 (c) 8 (d) 18
  27. 27.What is the average of all the whole numbers from 20 to 50? (a) 15 (b) 35 (c) 30 (d) 36
  28. 28.What is the average of 45, 38, 45, 32, 48 and 2? (a) 42 (b) 36 (c) 34 (d) 35
  29. 29.What is the average of all the whole numbers from 50 to 72? (a) 11 (b) 62 (c) 61 (d) 22
  30. 30.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 21 (b) 67 (c) 35 (d) 53
  31. 31.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 14 (b) 22 (c) 26 (d) 10
  32. 32.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 44 (b) 10 (c) 36 (d) 38
  33. 33.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 39 (b) 65 (c) 7 (d) 33
  34. 34.What is the average of 37, 35, 36, 25, 51 and 32? (a) 38 (b) 35 (c) 37 (d) 36
  35. 35.What is the average of 72, 68, 79, 85, 64 and 88? (a) 77 (b) 78 (c) 76 (d) 75
  36. 36.What is the average of 39, 35, 54, 57 and 45? (a) 45 (b) 48 (c) 46 (d) 47
  37. 37.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 6 (b) 51 (c) 46 (d) 91
  38. 38.What is the average of 14, 14, 16, 27 and 29? (a) 19 (b) 25 (c) 21 (d) 20
  39. 39.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 29 (b) 84 (c) 30 (d) 41
  40. 40.What is the average of 36, 35, 38, 52 and 34? (a) 38 (b) 40 (c) 41 (d) 39

Answer key

  1. 80
  2. 28
  3. 67
  4. 37
  5. 74
  6. 32
  7. 45
  8. 37
  9. 85
  10. 87
  11. 48
  12. 63
  13. 61
  14. 23
  15. 64
  16. 102
  17. 51
  18. 18
  19. 57
  20. 45
  21. 71
  22. 46
  23. 54
  24. 29
  25. 39
  26. 18
  27. 35
  28. 35
  29. 61
  30. 53
  31. 22
  32. 44
  33. 39
  34. 36
  35. 76
  36. 46
  37. 51
  38. 20
  39. 29
  40. 39

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