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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 357 · 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 70, 51, 53 and 46? (a) 56 (b) 54 (c) 57 (d) 55
  2. 2.What is the average of all the whole numbers from 10 to 24? (a) 17 (b) 14 (c) 7 (d) 18
  3. 3.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 57 (b) 28 (c) 26 (d) 25
  4. 4.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 52 (c) 28 (d) 30
  5. 5.What is the average of all the whole numbers from 33 to 73? (a) 53 (b) 54 (c) 20 (d) 40
  6. 6.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 57 (b) 10 (c) 63 (d) 55
  7. 7.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 33 (b) 18 (c) 31 (d) 20
  8. 8.What is the average of 46, 55, 43, 51, 48 and 69? (a) 54 (b) 52 (c) 53 (d) 51
  9. 9.A batter has an average of 34 runs in 8 matches. How many runs are needed in the next match to raise the average to 42? (a) 72 (b) 106 (c) 42 (d) 50
  10. 10.What is the average of all the whole numbers from 11 to 29? (a) 20 (b) 21 (c) 9 (d) 18
  11. 11.What is the average of all the whole numbers from 16 to 30? (a) 24 (b) 14 (c) 7 (d) 23
  12. 12.What is the average of 22, 20, 24, 32 and 62? (a) 40 (b) 33 (c) 31 (d) 32
  13. 13.What is the average of 36, 42, 28 and 34? (a) 36 (b) 34 (c) 37 (d) 35
  14. 14.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 20 (b) 19 (c) 82 (d) 39
  15. 15.What is the average of all the whole numbers from 7 to 47? (a) 40 (b) 28 (c) 27 (d) 20
  16. 16.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 63? (a) 12 (b) 63 (c) 72 (d) 66
  17. 17.What is the average of all the whole numbers from 15 to 25? (a) 10 (b) 20 (c) 21 (d) 5
  18. 18.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 68 (b) 52 (c) 32 (d) 44
  19. 19.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 48 (b) 32 (c) 68 (d) 26
  20. 20.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 55 (b) 34 (c) 31 (d) 27
  21. 21.What is the average of 68, 85, 81, 75, 73 and 86? (a) 78 (b) 80 (c) 77 (d) 79
  22. 22.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 35 (b) 74 (c) 7 (d) 8
  23. 23.What is the average of 36, 45, 49 and 54? (a) 45 (b) 47 (c) 48 (d) 46
  24. 24.What is the average of 79, 77, 79 and 61? (a) 73 (b) 76 (c) 75 (d) 74
  25. 25.A batter has an average of 37 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 101 (b) 45 (c) 53 (d) 64
  26. 26.What is the average of 19, 22, 39, 13 and 42? (a) 27 (b) 28 (c) 26 (d) 29
  27. 27.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 33 (b) 49 (c) 35 (d) 19
  28. 28.A batter has an average of 40 runs in 7 matches. How many runs are needed in the next match to raise the average to 43? (a) 46 (b) 64 (c) 43 (d) 24
  29. 29.What is the average of 59, 81, 61 and 63? (a) 88 (b) 65 (c) 67 (d) 66
  30. 30.What is the average of all the whole numbers from 12 to 46? (a) 17 (b) 30 (c) 29 (d) 34
  31. 31.What is the average of 48, 50, 46 and 100? (a) 60 (b) 61 (c) 62 (d) 63
  32. 32.What is the average of all the whole numbers from 52 to 78? (a) 65 (b) 66 (c) 26 (d) 13
  33. 33.What is the average of all the whole numbers from 52 to 82? (a) 15 (b) 67 (c) 68 (d) 30
  34. 34.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 45 (b) 77 (c) 37 (d) 48
  35. 35.A batter has an average of 25 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 33 (b) 32 (c) 29 (d) 57
  36. 36.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 52 (b) 20 (c) 44 (d) 28
  37. 37.What is the average of 45, 70, 56, 45, 47 and 97? (a) 59 (b) 61 (c) 72 (d) 60
  38. 38.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 66 (c) 40 (d) 36
  39. 39.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 61? (a) 40 (b) 96 (c) 66 (d) 61
  40. 40.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 19 (b) 8 (c) 36 (d) 25

Answer key

  1. 55
  2. 17
  3. 25
  4. 52
  5. 53
  6. 63
  7. 33
  8. 52
  9. 106
  10. 20
  11. 23
  12. 32
  13. 35
  14. 19
  15. 27
  16. 72
  17. 20
  18. 68
  19. 68
  20. 55
  21. 78
  22. 7
  23. 46
  24. 74
  25. 101
  26. 27
  27. 49
  28. 64
  29. 66
  30. 29
  31. 61
  32. 65
  33. 67
  34. 77
  35. 57
  36. 44
  37. 60
  38. 66
  39. 96
  40. 25

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