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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 260 · 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 7 to 39? (a) 16 (b) 24 (c) 32 (d) 23
  2. 2.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 32? (a) 40 (b) 88 (c) 64 (d) 32
  3. 3.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 33 (b) 31 (c) 16 (d) 45
  4. 4.What is the average of all the whole numbers from 47 to 77? (a) 63 (b) 62 (c) 15 (d) 30
  5. 5.What is the average of 75, 78, 69 and 70? (a) 73 (b) 75 (c) 74 (d) 72
  6. 6.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 28 (b) 54 (c) 33 (d) 40
  7. 7.What is the average of all the whole numbers from 23 to 49? (a) 13 (b) 37 (c) 36 (d) 26
  8. 8.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 33? (a) 33 (b) 24 (c) 37 (d) 53
  9. 9.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 63 (b) 38 (c) 31 (d) 87
  10. 10.What is the average of all the whole numbers from 53 to 79? (a) 67 (b) 66 (c) 13 (d) 26
  11. 11.What is the average of 45, 29, 32, 46, 31 and 45? (a) 38 (b) 39 (c) 40 (d) 37
  12. 12.What is the average of all the whole numbers from 15 to 49? (a) 17 (b) 33 (c) 34 (d) 32
  13. 13.What is the average of 65, 56, 70, 59 and 100? (a) 71 (b) 70 (c) 72 (d) 69
  14. 14.What is the average of 42, 19, 29 and 18? (a) 28 (b) 36 (c) 26 (d) 27
  15. 15.What is the average of all the whole numbers from 5 to 29? (a) 17 (b) 12 (c) 18 (d) 24
  16. 16.What is the average of all the whole numbers from 9 to 25? (a) 18 (b) 8 (c) 16 (d) 17
  17. 17.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 49? (a) 51 (b) 67 (c) 49 (d) 20
  18. 18.What is the average of all the whole numbers from 55 to 87? (a) 32 (b) 72 (c) 16 (d) 71
  19. 19.What is the average of 77, 59, 58, 57 and 109? (a) 90 (b) 73 (c) 72 (d) 71
  20. 20.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 38 (c) 54 (d) 32
  21. 21.What is the average of all the whole numbers from 16 to 22? (a) 19 (b) 20 (c) 3 (d) 6
  22. 22.A batter has an average of 33 runs in 7 matches. How many runs are needed in the next match to raise the average to 35? (a) 16 (b) 49 (c) 35 (d) 37
  23. 23.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 24? (a) 24 (b) 36 (c) 15 (d) 27
  24. 24.What is the average of all the whole numbers from 40 to 58? (a) 18 (b) 50 (c) 49 (d) 9
  25. 25.What is the average of all the whole numbers from 29 to 45? (a) 8 (b) 38 (c) 37 (d) 16
  26. 26.What is the average of 27, 37, 19, 15 and 42? (a) 27 (b) 28 (c) 29 (d) 35
  27. 27.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 58 (b) 37 (c) 35 (d) 30
  28. 28.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 25 (b) 70 (c) 34 (d) 24
  29. 29.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 75 (b) 12 (c) 48 (d) 39
  30. 30.What is the average of 55, 63, 52, 56, 51 and 113? (a) 65 (b) 78 (c) 66 (d) 64
  31. 31.What is the average of 84, 80, 67, 65 and 104? (a) 80 (b) 79 (c) 100 (d) 81
  32. 32.What is the average of 45, 55, 65 and 71? (a) 61 (b) 60 (c) 59 (d) 58
  33. 33.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 10 (b) 62 (c) 32 (d) 40
  34. 34.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 30? (a) 30 (b) 28 (c) 34 (d) 54
  35. 35.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 62 (b) 58 (c) 94 (d) 40
  36. 36.What is the average of all the whole numbers from 26 to 50? (a) 24 (b) 12 (c) 39 (d) 38
  37. 37.A batter has an average of 56 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 74 (b) 18 (c) 59 (d) 62
  38. 38.What is the average of all the whole numbers from 44 to 64? (a) 55 (b) 54 (c) 20 (d) 10
  39. 39.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 12 (c) 49 (d) 41
  40. 40.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 48 (b) 73 (c) 33 (d) 41

Answer key

  1. 23
  2. 88
  3. 45
  4. 62
  5. 73
  6. 54
  7. 36
  8. 53
  9. 87
  10. 66
  11. 38
  12. 32
  13. 70
  14. 27
  15. 17
  16. 17
  17. 67
  18. 71
  19. 72
  20. 54
  21. 19
  22. 49
  23. 36
  24. 49
  25. 37
  26. 28
  27. 58
  28. 24
  29. 48
  30. 65
  31. 80
  32. 59
  33. 40
  34. 54
  35. 94
  36. 38
  37. 74
  38. 54
  39. 49
  40. 73

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