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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 305 · 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 all the whole numbers from 14 to 38? (a) 24 (b) 27 (c) 26 (d) 12
  2. 2.What is the average of 33, 45, 27, 42 and 43? (a) 39 (b) 40 (c) 38 (d) 37
  3. 3.What is the average of all the whole numbers from 17 to 35? (a) 9 (b) 18 (c) 27 (d) 26
  4. 4.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 42 (b) 34 (c) 10 (d) 36
  5. 5.What is the average of 42, 64, 41 and 61? (a) 53 (b) 51 (c) 54 (d) 52
  6. 6.A batter has an average of 33 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 73 (b) 41 (c) 40 (d) 49
  7. 7.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 28? (a) 28 (b) 57 (c) 32 (d) 56
  8. 8.A batter has an average of 54 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 32 (b) 86 (c) 58 (d) 62
  9. 9.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 51 (c) 24 (d) 63
  10. 10.A batter has an average of 44 runs in 8 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 54 (c) 45 (d) 89
  11. 11.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 40 (c) 34 (d) 10
  12. 12.What is the average of all the whole numbers from 25 to 59? (a) 34 (b) 43 (c) 17 (d) 42
  13. 13.What is the average of all the whole numbers from 9 to 27? (a) 17 (b) 9 (c) 19 (d) 18
  14. 14.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 35? (a) 43 (b) 35 (c) 64 (d) 91
  15. 15.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 26 (b) 49 (c) 38 (d) 15
  16. 16.What is the average of all the whole numbers from 50 to 80? (a) 15 (b) 65 (c) 30 (d) 66
  17. 17.What is the average of all the whole numbers from 37 to 77? (a) 57 (b) 40 (c) 58 (d) 20
  18. 18.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 27 (b) 41 (c) 85 (d) 26
  19. 19.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 52 (b) 35 (c) 39 (d) 22
  20. 20.A batter has an average of 54 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 72 (c) 58 (d) 18
  21. 21.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 48 (b) 38 (c) 40 (d) 12
  22. 22.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 73 (c) 42 (d) 72
  23. 23.What is the average of 48, 69, 72 and 51? (a) 61 (b) 60 (c) 59 (d) 80
  24. 24.What is the average of 80, 58, 65 and 73? (a) 68 (b) 69 (c) 92 (d) 70
  25. 25.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 63? (a) 68 (b) 25 (c) 63 (d) 83
  26. 26.What is the average of all the whole numbers from 50 to 72? (a) 62 (b) 61 (c) 22 (d) 11
  27. 27.What is the average of all the whole numbers from 19 to 59? (a) 40 (b) 38 (c) 39 (d) 20
  28. 28.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 55 (b) 37 (c) 30 (d) 31
  29. 29.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 11 (b) 12 (c) 21 (d) 20
  30. 30.What is the average of 38, 31, 32 and 71? (a) 42 (b) 44 (c) 43 (d) 45
  31. 31.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 70 (b) 75 (c) 40 (d) 35
  32. 32.What is the average of all the whole numbers from 18 to 28? (a) 5 (b) 23 (c) 24 (d) 10
  33. 33.What is the average of 74, 78, 63 and 93? (a) 78 (b) 77 (c) 79 (d) 76
  34. 34.What is the average of all the whole numbers from 10 to 20? (a) 10 (b) 5 (c) 15 (d) 16
  35. 35.What is the average of all the whole numbers from 33 to 59? (a) 46 (b) 26 (c) 47 (d) 13
  36. 36.A batter has an average of 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 44 (b) 86 (c) 38 (d) 54
  37. 37.What is the average of all the whole numbers from 47 to 69? (a) 22 (b) 11 (c) 58 (d) 59
  38. 38.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 60 (c) 15 (d) 51
  39. 39.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 33 (c) 53 (d) 30
  40. 40.What is the average of all the whole numbers from 54 to 90? (a) 36 (b) 73 (c) 18 (d) 72

Answer key

  1. 26
  2. 38
  3. 26
  4. 42
  5. 52
  6. 73
  7. 56
  8. 86
  9. 63
  10. 89
  11. 40
  12. 42
  13. 18
  14. 91
  15. 38
  16. 65
  17. 57
  18. 26
  19. 52
  20. 72
  21. 48
  22. 72
  23. 60
  24. 69
  25. 83
  26. 61
  27. 39
  28. 55
  29. 21
  30. 43
  31. 70
  32. 23
  33. 77
  34. 15
  35. 46
  36. 86
  37. 58
  38. 60
  39. 53
  40. 72

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