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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 895 · 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.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 44? (a) 44 (b) 59 (c) 20 (d) 49
  2. 2.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 115 (c) 67 (d) 64
  3. 3.What is the average of 32, 26, 36, 34 and 7? (a) 26 (b) 28 (c) 27 (d) 29
  4. 4.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 68 (b) 38 (c) 44 (d) 36
  5. 5.What is the average of all the whole numbers from 26 to 42? (a) 16 (b) 35 (c) 8 (d) 34
  6. 6.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 51? (a) 53 (b) 65 (c) 16 (d) 51
  7. 7.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 30 (b) 61 (c) 33 (d) 58
  8. 8.What is the average of 45, 53, 48 and 62? (a) 54 (b) 53 (c) 52 (d) 51
  9. 9.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 32? (a) 42 (b) 39 (c) 32 (d) 67
  10. 10.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 54 (b) 14 (c) 13 (d) 25
  11. 11.What is the average of all the whole numbers from 37 to 71? (a) 55 (b) 34 (c) 54 (d) 17
  12. 12.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 96 (b) 50 (c) 74 (d) 28
  13. 13.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 32 (b) 47 (c) 63 (d) 39
  14. 14.What is the average of all the whole numbers from 20 to 60? (a) 39 (b) 40 (c) 41 (d) 20
  15. 15.What is the average of 76, 71, 56, 81 and 71? (a) 71 (b) 72 (c) 70 (d) 73
  16. 16.What is the average of all the whole numbers from 11 to 19? (a) 15 (b) 16 (c) 4 (d) 8
  17. 17.What is the average of all the whole numbers from 29 to 47? (a) 38 (b) 18 (c) 39 (d) 9
  18. 18.What is the average of 39, 25, 49, 46, 41 and 10? (a) 36 (b) 34 (c) 42 (d) 35
  19. 19.What is the average of all the whole numbers from 60 to 74? (a) 68 (b) 7 (c) 67 (d) 14
  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 58? (a) 36 (b) 62 (c) 90 (d) 58
  21. 21.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 31? (a) 37 (b) 36 (c) 61 (d) 31
  22. 22.What is the average of all the whole numbers from 6 to 38? (a) 23 (b) 16 (c) 22 (d) 32
  23. 23.What is the average of 54, 74, 73, 65, 70 and 48? (a) 64 (b) 65 (c) 63 (d) 66
  24. 24.What is the average of 25, 42, 45, 24 and 39? (a) 35 (b) 37 (c) 34 (d) 36
  25. 25.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 10 (b) 38 (c) 40 (d) 46
  26. 26.What is the average of 62, 46, 51, 48, 70 and 59? (a) 58 (b) 57 (c) 55 (d) 56
  27. 27.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 50 (c) 74 (d) 34
  28. 28.What is the average of 41, 57, 67 and 47? (a) 54 (b) 53 (c) 55 (d) 52
  29. 29.What is the average of 15, 35, 32 and 34? (a) 30 (b) 29 (c) 31 (d) 28
  30. 30.What is the average of all the whole numbers from 50 to 76? (a) 63 (b) 26 (c) 64 (d) 13
  31. 31.A batter has an average of 39 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 111 (b) 47 (c) 72 (d) 55
  32. 32.A batter has an average of 33 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 35 (b) 38 (c) 68 (d) 43
  33. 33.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) 35 (b) 37 (c) 58 (d) 30
  34. 34.What is the average of 60, 73, 59 and 76? (a) 67 (b) 69 (c) 66 (d) 68
  35. 35.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 51 (b) 75 (c) 15 (d) 39
  36. 36.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 34 (b) 65 (c) 55 (d) 24
  37. 37.What is the average of all the whole numbers from 5 to 19? (a) 12 (b) 7 (c) 14 (d) 13
  38. 38.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 33 (c) 40 (d) 63
  39. 39.What is the average of all the whole numbers from 7 to 47? (a) 40 (b) 20 (c) 27 (d) 28
  40. 40.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 38 (b) 14 (c) 32 (d) 20

Answer key

  1. 59
  2. 115
  3. 27
  4. 68
  5. 34
  6. 65
  7. 58
  8. 52
  9. 67
  10. 13
  11. 54
  12. 74
  13. 63
  14. 40
  15. 71
  16. 15
  17. 38
  18. 35
  19. 67
  20. 90
  21. 61
  22. 22
  23. 64
  24. 35
  25. 46
  26. 56
  27. 74
  28. 53
  29. 29
  30. 63
  31. 111
  32. 68
  33. 58
  34. 67
  35. 51
  36. 55
  37. 12
  38. 63
  39. 27
  40. 32

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