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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 449 · 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 all the whole numbers from 50 to 68? (a) 18 (b) 9 (c) 59 (d) 60
  2. 2.What is the average of 14, 19, 31 and 32? (a) 25 (b) 23 (c) 24 (d) 32
  3. 3.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 26? (a) 42 (b) 26 (c) 62 (d) 32
  4. 4.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 10 (b) 44 (c) 93 (d) 9
  5. 5.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 17 (b) 35 (c) 11 (d) 10
  6. 6.What is the average of 35, 49, 52, 42 and 52? (a) 45 (b) 48 (c) 47 (d) 46
  7. 7.What is the average of all the whole numbers from 30 to 40? (a) 36 (b) 35 (c) 10 (d) 5
  8. 8.What is the average of 69, 74, 74 and 31? (a) 62 (b) 64 (c) 63 (d) 61
  9. 9.What is the average of 45, 47, 61, 60, 44 and 49? (a) 50 (b) 53 (c) 52 (d) 51
  10. 10.What is the average of 82, 80, 72, 82, 63 and 83? (a) 78 (b) 76 (c) 77 (d) 79
  11. 11.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 37 (b) 25 (c) 76 (d) 26
  12. 12.What is the average of 68, 44, 45, 65 and 73? (a) 61 (b) 59 (c) 60 (d) 58
  13. 13.What is the average of all the whole numbers from 46 to 82? (a) 36 (b) 65 (c) 64 (d) 18
  14. 14.What is the average of 60, 78, 61, 77, 57 and 99? (a) 74 (b) 73 (c) 71 (d) 72
  15. 15.What is the average of all the whole numbers from 39 to 71? (a) 56 (b) 55 (c) 32 (d) 16
  16. 16.A batter has an average of 51 runs in 8 matches. How many runs are needed in the next match to raise the average to 53? (a) 55 (b) 53 (c) 69 (d) 18
  17. 17.A batter has an average of 43 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 53 (b) 93 (c) 50 (d) 48
  18. 18.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 12 (b) 54 (c) 87 (d) 45
  19. 19.What is the average of 46, 58, 40 and 76? (a) 56 (b) 55 (c) 57 (d) 54
  20. 20.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 25 (c) 47 (d) 32
  21. 21.What is the average of all the whole numbers from 53 to 69? (a) 61 (b) 8 (c) 16 (d) 62
  22. 22.What is the average of all the whole numbers from 10 to 34? (a) 23 (b) 22 (c) 24 (d) 12
  23. 23.What is the average of all the whole numbers from 53 to 91? (a) 72 (b) 38 (c) 19 (d) 73
  24. 24.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 18 (c) 49 (d) 35
  25. 25.What is the average of all the whole numbers from 47 to 75? (a) 28 (b) 61 (c) 62 (d) 14
  26. 26.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 69 (c) 41 (d) 42
  27. 27.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) 35 (b) 52 (c) 10 (d) 27
  28. 28.What is the average of 26, 26, 10, 34 and 19? (a) 24 (b) 25 (c) 23 (d) 22
  29. 29.What is the average of 72, 59, 82, 81, 79 and 53? (a) 73 (b) 72 (c) 71 (d) 70
  30. 30.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 6 (b) 48 (c) 95 (d) 53
  31. 31.What is the average of 27, 24, 7, 16 and 36? (a) 23 (b) 21 (c) 22 (d) 24
  32. 32.What is the average of all the whole numbers from 10 to 36? (a) 26 (b) 13 (c) 23 (d) 24
  33. 33.What is the average of 72, 55, 71, 61, 68 and 87? (a) 70 (b) 68 (c) 69 (d) 71
  34. 34.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 40 (b) 61 (c) 26 (d) 31
  35. 35.What is the average of 31, 32, 31, 7 and 4? (a) 23 (b) 21 (c) 20 (d) 22
  36. 36.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 25 (c) 10 (d) 31
  37. 37.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 5 (b) 99 (c) 54 (d) 50
  38. 38.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 37 (b) 21 (c) 30 (d) 46
  39. 39.What is the average of 74, 60, 57, 80 and 69? (a) 69 (b) 68 (c) 67 (d) 85
  40. 40.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 70 (b) 59 (c) 66 (d) 122

Answer key

  1. 59
  2. 24
  3. 62
  4. 9
  5. 10
  6. 46
  7. 35
  8. 62
  9. 51
  10. 77
  11. 25
  12. 59
  13. 64
  14. 72
  15. 55
  16. 69
  17. 93
  18. 54
  19. 55
  20. 47
  21. 61
  22. 22
  23. 72
  24. 49
  25. 61
  26. 69
  27. 35
  28. 23
  29. 71
  30. 53
  31. 22
  32. 23
  33. 69
  34. 61
  35. 21
  36. 31
  37. 54
  38. 46
  39. 68
  40. 122

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