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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 846 · 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 61, 51, 64, 64 and 75? (a) 65 (b) 63 (c) 64 (d) 62
  2. 2.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 21 (b) 4 (c) 10 (d) 5
  3. 3.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 100 (b) 80 (c) 36 (d) 28
  4. 4.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 31 (b) 64 (c) 19 (d) 20
  5. 5.A batter has an average of 36 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 40 (c) 56 (d) 20
  6. 6.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 42 (b) 56 (c) 34 (d) 82
  7. 7.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 40 (b) 22 (c) 57 (d) 39
  8. 8.A batter has an average of 48 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 62 (b) 63 (c) 111 (d) 55
  9. 9.What is the average of 32, 44, 57, 51, 48 and 26? (a) 45 (b) 43 (c) 44 (d) 42
  10. 10.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 49 (b) 4 (c) 46 (d) 91
  11. 11.What is the average of 29, 30, 55, 31 and 60? (a) 42 (b) 43 (c) 40 (d) 41
  12. 12.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 23? (a) 26 (b) 23 (c) 47 (d) 27
  13. 13.What is the average of all the whole numbers from 49 to 89? (a) 69 (b) 20 (c) 70 (d) 40
  14. 14.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 25 (b) 46 (c) 24 (d) 45
  15. 15.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) 46 (b) 21 (c) 37 (d) 30
  16. 16.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 4 (b) 69 (c) 38 (d) 35
  17. 17.What is the average of 57, 46, 47, 48 and 102? (a) 75 (b) 61 (c) 60 (d) 59
  18. 18.What is the average of all the whole numbers from 21 to 43? (a) 22 (b) 32 (c) 11 (d) 33
  19. 19.What is the average of 74, 66, 62, 52 and 56? (a) 61 (b) 62 (c) 63 (d) 64
  20. 20.What is the average of all the whole numbers from 24 to 30? (a) 28 (b) 27 (c) 3 (d) 6
  21. 21.What is the average of 23, 22, 17, 22 and 56? (a) 27 (b) 35 (c) 29 (d) 28
  22. 22.What is the average of 43, 52, 49 and 28? (a) 44 (b) 45 (c) 43 (d) 42
  23. 23.What is the average of 33, 17, 35, 19, 45 and 31? (a) 36 (b) 30 (c) 31 (d) 29
  24. 24.A batter has an average of 49 runs in 8 matches. How many runs are needed in the next match to raise the average to 51? (a) 53 (b) 51 (c) 18 (d) 67
  25. 25.What is the average of all the whole numbers from 6 to 14? (a) 8 (b) 11 (c) 4 (d) 10
  26. 26.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 10 (b) 63 (c) 9 (d) 29
  27. 27.What is the average of 13, 8, 22 and 37? (a) 19 (b) 20 (c) 21 (d) 22
  28. 28.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 63? (a) 48 (b) 103 (c) 71 (d) 63
  29. 29.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 52? (a) 54 (b) 58 (c) 100 (d) 52
  30. 30.What is the average of all the whole numbers from 6 to 20? (a) 13 (b) 12 (c) 7 (d) 14
  31. 31.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) 20 (b) 103 (c) 49 (d) 19
  32. 32.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 37 (b) 35 (c) 21 (d) 51
  33. 33.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 10 (b) 39 (c) 9 (d) 18
  34. 34.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 36 (b) 72 (c) 48 (d) 30
  35. 35.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 72 (b) 15 (c) 60 (d) 63
  36. 36.What is the average of all the whole numbers from 60 to 100? (a) 20 (b) 40 (c) 80 (d) 81
  37. 37.What is the average of all the whole numbers from 45 to 85? (a) 66 (b) 65 (c) 20 (d) 40
  38. 38.What is the average of 29, 39, 37, 38, 41 and 44? (a) 38 (b) 39 (c) 37 (d) 40
  39. 39.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) 30 (b) 64 (c) 40 (d) 46
  40. 40.What is the average of all the whole numbers from 12 to 24? (a) 18 (b) 19 (c) 12 (d) 6

Answer key

  1. 63
  2. 4
  3. 100
  4. 19
  5. 56
  6. 82
  7. 57
  8. 111
  9. 43
  10. 49
  11. 41
  12. 47
  13. 69
  14. 45
  15. 46
  16. 38
  17. 60
  18. 32
  19. 62
  20. 27
  21. 28
  22. 43
  23. 30
  24. 67
  25. 10
  26. 9
  27. 20
  28. 103
  29. 100
  30. 13
  31. 19
  32. 51
  33. 9
  34. 72
  35. 72
  36. 80
  37. 65
  38. 38
  39. 64
  40. 18

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