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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 553 · 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 48, 34, 51, 52 and 60? (a) 49 (b) 51 (c) 50 (d) 48
  2. 2.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 12 (b) 13 (c) 20 (d) 42
  3. 3.What is the average of all the whole numbers from 51 to 79? (a) 28 (b) 65 (c) 66 (d) 14
  4. 4.What is the average of 35, 26, 27 and 4? (a) 25 (b) 23 (c) 22 (d) 24
  5. 5.What is the average of 63, 53, 46, 55, 41 and 48? (a) 53 (b) 51 (c) 50 (d) 52
  6. 6.What is the average of all the whole numbers from 43 to 83? (a) 40 (b) 63 (c) 64 (d) 20
  7. 7.What is the average of all the whole numbers from 31 to 47? (a) 39 (b) 40 (c) 16 (d) 8
  8. 8.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 56 (b) 28 (c) 35 (d) 57
  9. 9.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 91 (b) 24 (c) 44 (d) 23
  10. 10.A batter has an average of 38 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 54 (b) 46 (c) 110 (d) 72
  11. 11.A batter has an average of 26 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 62 (b) 30 (c) 36 (d) 34
  12. 12.What is the average of 62, 61, 71 and 94? (a) 73 (b) 96 (c) 72 (d) 71
  13. 13.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 68 (c) 28 (d) 54
  14. 14.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 25? (a) 30 (b) 45 (c) 25 (d) 65
  15. 15.What is the average of 76, 78, 69, 66 and 91? (a) 77 (b) 75 (c) 95 (d) 76
  16. 16.What is the average of all the whole numbers from 24 to 56? (a) 41 (b) 32 (c) 40 (d) 16
  17. 17.What is the average of all the whole numbers from 17 to 55? (a) 38 (b) 19 (c) 37 (d) 36
  18. 18.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) 55 (b) 10 (c) 63 (d) 57
  19. 19.What is the average of all the whole numbers from 11 to 51? (a) 31 (b) 40 (c) 20 (d) 32
  20. 20.What is the average of all the whole numbers from 19 to 49? (a) 30 (b) 15 (c) 35 (d) 34
  21. 21.What is the average of 44, 61, 39, 66 and 55? (a) 55 (b) 52 (c) 53 (d) 54
  22. 22.What is the average of 75, 61, 59 and 69? (a) 66 (b) 67 (c) 88 (d) 65
  23. 23.What is the average of 71, 55, 52, 64, 64 and 78? (a) 64 (b) 63 (c) 65 (d) 66
  24. 24.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 17 (b) 3 (c) 39 (d) 2
  25. 25.A batter has an average of 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 70 (b) 61 (c) 117 (d) 54
  26. 26.What is the average of 13, 30, 34 and 7? (a) 20 (b) 28 (c) 21 (d) 22
  27. 27.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 29? (a) 34 (b) 40 (c) 29 (d) 64
  28. 28.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 12 (c) 32 (d) 26
  29. 29.What is the average of 80, 79, 59, 61, 61 and 92? (a) 74 (b) 72 (c) 73 (d) 71
  30. 30.What is the average of all the whole numbers from 9 to 25? (a) 18 (b) 16 (c) 8 (d) 17
  31. 31.What is the average of all the whole numbers from 6 to 44? (a) 25 (b) 26 (c) 19 (d) 38
  32. 32.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 30? (a) 30 (b) 46 (c) 18 (d) 32
  33. 33.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 32 (b) 64 (c) 36 (d) 68
  34. 34.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) 69 (b) 4 (c) 38 (d) 35
  35. 35.What is the average of 51, 62, 60, 70 and 62? (a) 63 (b) 61 (c) 60 (d) 62
  36. 36.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 23? (a) 20 (b) 23 (c) 41 (d) 25
  37. 37.What is the average of 78, 88, 72, 83, 74 and 49? (a) 73 (b) 76 (c) 75 (d) 74
  38. 38.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 23 (b) 41 (c) 38 (d) 20
  39. 39.What is the average of 55, 72, 64, 64, 48 and 69? (a) 61 (b) 63 (c) 64 (d) 62
  40. 40.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 48 (b) 75 (c) 33 (d) 39

Answer key

  1. 49
  2. 12
  3. 65
  4. 23
  5. 51
  6. 63
  7. 39
  8. 56
  9. 23
  10. 110
  11. 62
  12. 72
  13. 68
  14. 65
  15. 76
  16. 40
  17. 36
  18. 63
  19. 31
  20. 34
  21. 53
  22. 66
  23. 64
  24. 2
  25. 117
  26. 21
  27. 64
  28. 32
  29. 72
  30. 17
  31. 25
  32. 46
  33. 64
  34. 38
  35. 61
  36. 41
  37. 74
  38. 38
  39. 62
  40. 75

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