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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 586 · 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 64? (a) 7 (b) 57 (c) 58 (d) 14
  2. 2.What is the average of 76, 57, 60, 78 and 59? (a) 65 (b) 67 (c) 66 (d) 68
  3. 3.What is the average of all the whole numbers from 9 to 23? (a) 14 (b) 17 (c) 7 (d) 16
  4. 4.What is the average of 24, 34, 20, 21, 20 and 25? (a) 26 (b) 24 (c) 25 (d) 23
  5. 5.What is the average of all the whole numbers from 52 to 78? (a) 66 (b) 13 (c) 26 (d) 65
  6. 6.What is the average of 19, 18, 12, 9, 28 and 46? (a) 21 (b) 24 (c) 22 (d) 23
  7. 7.What is the average of 63, 66, 60, 49 and 47? (a) 56 (b) 57 (c) 58 (d) 59
  8. 8.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 46 (b) 89 (c) 64 (d) 21
  9. 9.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 44 (c) 74 (d) 40
  10. 10.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 51? (a) 16 (b) 65 (c) 51 (d) 53
  11. 11.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 38 (b) 20 (c) 14 (d) 32
  12. 12.A batter has an average of 38 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 68 (c) 44 (d) 30
  13. 13.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 56? (a) 56 (b) 63 (c) 106 (d) 105
  14. 14.What is the average of 52, 39, 51 and 38? (a) 46 (b) 44 (c) 45 (d) 60
  15. 15.What is the average of all the whole numbers from 41 to 65? (a) 12 (b) 24 (c) 53 (d) 54
  16. 16.What is the average of all the whole numbers from 48 to 76? (a) 63 (b) 28 (c) 62 (d) 14
  17. 17.A batter has an average of 55 runs in 8 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 65 (c) 100 (d) 45
  18. 18.What is the average of 24, 25, 24 and 79? (a) 38 (b) 39 (c) 37 (d) 40
  19. 19.What is the average of 53, 35, 27, 45 and 40? (a) 39 (b) 40 (c) 50 (d) 41
  20. 20.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 64 (b) 22 (c) 31 (d) 21
  21. 21.What is the average of 35, 32, 10, 16 and 12? (a) 22 (b) 23 (c) 20 (d) 21
  22. 22.What is the average of 25, 13, 26 and 44? (a) 28 (b) 26 (c) 27 (d) 36
  23. 23.What is the average of all the whole numbers from 60 to 84? (a) 73 (b) 72 (c) 24 (d) 12
  24. 24.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 19 (b) 103 (c) 49 (d) 20
  25. 25.What is the average of all the whole numbers from 13 to 45? (a) 32 (b) 30 (c) 29 (d) 16
  26. 26.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 18 (c) 34 (d) 46
  27. 27.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 37? (a) 43 (b) 54 (c) 37 (d) 85
  28. 28.What is the average of all the whole numbers from 9 to 21? (a) 12 (b) 6 (c) 15 (d) 16
  29. 29.What is the average of all the whole numbers from 36 to 62? (a) 13 (b) 49 (c) 26 (d) 50
  30. 30.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 31 (b) 20 (c) 43 (d) 27
  31. 31.What is the average of 22, 28, 15 and 15? (a) 21 (b) 20 (c) 22 (d) 19
  32. 32.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 8 (b) 22 (c) 16 (d) 30
  33. 33.What is the average of all the whole numbers from 45 to 61? (a) 8 (b) 16 (c) 53 (d) 54
  34. 34.What is the average of all the whole numbers from 53 to 79? (a) 67 (b) 26 (c) 13 (d) 66
  35. 35.What is the average of all the whole numbers from 24 to 58? (a) 34 (b) 41 (c) 17 (d) 42
  36. 36.What is the average of all the whole numbers from 43 to 53? (a) 10 (b) 49 (c) 5 (d) 48
  37. 37.What is the average of all the whole numbers from 43 to 55? (a) 50 (b) 12 (c) 6 (d) 49
  38. 38.What is the average of all the whole numbers from 56 to 66? (a) 10 (b) 62 (c) 5 (d) 61
  39. 39.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 8 (b) 58 (c) 54 (d) 52
  40. 40.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 21 (c) 28 (d) 43

Answer key

  1. 57
  2. 66
  3. 16
  4. 24
  5. 65
  6. 22
  7. 57
  8. 64
  9. 74
  10. 65
  11. 32
  12. 68
  13. 105
  14. 45
  15. 53
  16. 62
  17. 100
  18. 38
  19. 40
  20. 21
  21. 21
  22. 27
  23. 72
  24. 19
  25. 29
  26. 46
  27. 85
  28. 15
  29. 49
  30. 43
  31. 20
  32. 22
  33. 53
  34. 66
  35. 41
  36. 48
  37. 49
  38. 61
  39. 58
  40. 43

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