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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 864 · 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.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 28 (b) 63 (c) 77 (d) 56
  2. 2.What is the average of 64, 93, 76, 92 and 70? (a) 78 (b) 80 (c) 79 (d) 81
  3. 3.What is the average of all the whole numbers from 48 to 86? (a) 68 (b) 38 (c) 67 (d) 19
  4. 4.A batter has an average of 58 runs in 5 matches. How many runs are needed in the next match to raise the average to 61? (a) 76 (b) 61 (c) 18 (d) 64
  5. 5.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 4 (b) 44 (c) 81 (d) 41
  6. 6.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) 20 (b) 28 (c) 46 (d) 30
  7. 7.What is the average of 33, 26, 35, 20, 22 and 38? (a) 29 (b) 28 (c) 31 (d) 30
  8. 8.What is the average of all the whole numbers from 32 to 40? (a) 8 (b) 37 (c) 36 (d) 4
  9. 9.What is the average of 88, 61, 64, 78 and 89? (a) 75 (b) 95 (c) 76 (d) 77
  10. 10.What is the average of 45, 16, 24, 24 and 46? (a) 33 (b) 32 (c) 30 (d) 31
  11. 11.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 58? (a) 28 (b) 65 (c) 58 (d) 79
  12. 12.What is the average of all the whole numbers from 10 to 32? (a) 11 (b) 22 (c) 20 (d) 21
  13. 13.What is the average of all the whole numbers from 12 to 24? (a) 6 (b) 18 (c) 19 (d) 12
  14. 14.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 36 (b) 48 (c) 16 (d) 68
  15. 15.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 47 (b) 20 (c) 26 (d) 41
  16. 16.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 74 (b) 28 (c) 53 (d) 60
  17. 17.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 43 (b) 14 (c) 21 (d) 15
  18. 18.What is the average of all the whole numbers from 45 to 63? (a) 55 (b) 54 (c) 18 (d) 9
  19. 19.What is the average of all the whole numbers from 45 to 51? (a) 6 (b) 3 (c) 49 (d) 48
  20. 20.What is the average of all the whole numbers from 20 to 48? (a) 14 (b) 28 (c) 34 (d) 35
  21. 21.What is the average of 83, 61, 70 and 74? (a) 71 (b) 73 (c) 96 (d) 72
  22. 22.What is the average of 42, 37, 62, 51, 35 and 73? (a) 60 (b) 49 (c) 51 (d) 50
  23. 23.What is the average of 54, 59, 52, 34, 58 and 37? (a) 50 (b) 49 (c) 51 (d) 48
  24. 24.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 73 (b) 61 (c) 16 (d) 65
  25. 25.What is the average of 84, 88, 65, 80, 89 and 68? (a) 81 (b) 78 (c) 79 (d) 80
  26. 26.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 36? (a) 70 (b) 43 (c) 36 (d) 99
  27. 27.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 37? (a) 40 (b) 15 (c) 37 (d) 49
  28. 28.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 26 (b) 15 (c) 35 (d) 24
  29. 29.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 34 (b) 58 (c) 28 (d) 64
  30. 30.What is the average of all the whole numbers from 28 to 38? (a) 5 (b) 33 (c) 10 (d) 34
  31. 31.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 40 (b) 32 (c) 83 (d) 31
  32. 32.What is the average of all the whole numbers from 36 to 48? (a) 43 (b) 12 (c) 6 (d) 42
  33. 33.What is the average of 35, 20, 29 and 40? (a) 31 (b) 33 (c) 30 (d) 32
  34. 34.What is the average of all the whole numbers from 20 to 44? (a) 32 (b) 12 (c) 33 (d) 24
  35. 35.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 58 (b) 40 (c) 82 (d) 50
  36. 36.What is the average of all the whole numbers from 33 to 45? (a) 12 (b) 6 (c) 39 (d) 40
  37. 37.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 28 (b) 15 (c) 16 (d) 29
  38. 38.What is the average of all the whole numbers from 15 to 53? (a) 38 (b) 19 (c) 35 (d) 34
  39. 39.What is the average of all the whole numbers from 30 to 62? (a) 46 (b) 47 (c) 32 (d) 16
  40. 40.What is the average of 13, 30, 40 and 25? (a) 28 (b) 26 (c) 36 (d) 27

Answer key

  1. 77
  2. 79
  3. 67
  4. 76
  5. 44
  6. 46
  7. 29
  8. 36
  9. 76
  10. 31
  11. 79
  12. 21
  13. 18
  14. 48
  15. 41
  16. 74
  17. 14
  18. 54
  19. 48
  20. 34
  21. 72
  22. 50
  23. 49
  24. 73
  25. 79
  26. 99
  27. 49
  28. 35
  29. 58
  30. 33
  31. 31
  32. 42
  33. 31
  34. 32
  35. 82
  36. 39
  37. 28
  38. 34
  39. 46
  40. 27

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