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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 555 · 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 14, 16, 14 and 40? (a) 28 (b) 20 (c) 22 (d) 21
  2. 2.What is the average of all the whole numbers from 35 to 53? (a) 45 (b) 18 (c) 9 (d) 44
  3. 3.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 38 (b) 12 (c) 18 (d) 13
  4. 4.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 58 (c) 50 (d) 12
  5. 5.What is the average of 42, 43, 44 and 83? (a) 52 (b) 55 (c) 53 (d) 54
  6. 6.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 40 (c) 75 (d) 51
  7. 7.What is the average of 41, 49, 28, 49, 35 and 14? (a) 38 (b) 36 (c) 37 (d) 35
  8. 8.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 15 (b) 20 (c) 16 (d) 41
  9. 9.What is the average of all the whole numbers from 18 to 24? (a) 6 (b) 22 (c) 3 (d) 21
  10. 10.What is the average of all the whole numbers from 49 to 77? (a) 64 (b) 63 (c) 28 (d) 14
  11. 11.What is the average of 67, 90, 66, 74, 83 and 76? (a) 76 (b) 78 (c) 75 (d) 77
  12. 12.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 92 (c) 64 (d) 36
  13. 13.What is the average of all the whole numbers from 25 to 63? (a) 38 (b) 45 (c) 44 (d) 19
  14. 14.What is the average of all the whole numbers from 12 to 44? (a) 28 (b) 16 (c) 32 (d) 29
  15. 15.What is the average of 65, 50, 51 and 42? (a) 53 (b) 52 (c) 51 (d) 54
  16. 16.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 39 (b) 51 (c) 76 (d) 14
  17. 17.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 13 (b) 25 (c) 5 (d) 17
  18. 18.What is the average of 44, 28, 26 and 38? (a) 34 (b) 36 (c) 35 (d) 33
  19. 19.What is the average of all the whole numbers from 16 to 56? (a) 36 (b) 37 (c) 20 (d) 40
  20. 20.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 42 (b) 33 (c) 12 (d) 36
  21. 21.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 31 (b) 37 (c) 75 (d) 30
  22. 22.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 48 (b) 52 (c) 46 (d) 8
  23. 23.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 10 (b) 70 (c) 9 (d) 33
  24. 24.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) 41 (b) 29 (c) 84 (d) 30
  25. 25.What is the average of 62, 56, 51 and 87? (a) 65 (b) 63 (c) 64 (d) 66
  26. 26.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 23 (b) 13 (c) 12 (d) 22
  27. 27.What is the average of all the whole numbers from 51 to 61? (a) 5 (b) 10 (c) 57 (d) 56
  28. 28.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 40? (a) 40 (b) 30 (c) 64 (d) 46
  29. 29.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 21 (b) 46 (c) 6 (d) 5
  30. 30.What is the average of all the whole numbers from 39 to 53? (a) 46 (b) 47 (c) 14 (d) 7
  31. 31.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 18 (b) 12 (c) 37 (d) 11
  32. 32.What is the average of 66, 78, 67, 75, 84 and 110? (a) 96 (b) 81 (c) 80 (d) 79
  33. 33.What is the average of 65, 73, 65 and 81? (a) 70 (b) 72 (c) 73 (d) 71
  34. 34.A batter has an average of 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 59 (b) 56 (c) 18 (d) 71
  35. 35.What is the average of all the whole numbers from 11 to 25? (a) 18 (b) 14 (c) 19 (d) 7
  36. 36.What is the average of all the whole numbers from 28 to 62? (a) 34 (b) 45 (c) 46 (d) 17
  37. 37.What is the average of 16, 32, 15, 18 and 29? (a) 21 (b) 22 (c) 24 (d) 23
  38. 38.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 54 (c) 46 (d) 16
  39. 39.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 15 (b) 14 (c) 39 (d) 19
  40. 40.What is the average of 33, 32, 34 and 37? (a) 33 (b) 34 (c) 36 (d) 35

Answer key

  1. 21
  2. 44
  3. 12
  4. 58
  5. 53
  6. 75
  7. 36
  8. 15
  9. 21
  10. 63
  11. 76
  12. 92
  13. 44
  14. 28
  15. 52
  16. 51
  17. 17
  18. 34
  19. 36
  20. 42
  21. 30
  22. 52
  23. 9
  24. 29
  25. 64
  26. 22
  27. 56
  28. 64
  29. 5
  30. 46
  31. 11
  32. 80
  33. 71
  34. 71
  35. 18
  36. 45
  37. 22
  38. 54
  39. 14
  40. 34

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