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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 542 · 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 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 25? (a) 49 (b) 25 (c) 27 (d) 28
  2. 2.What is the average of all the whole numbers from 43 to 49? (a) 3 (b) 46 (c) 6 (d) 47
  3. 3.What is the average of all the whole numbers from 6 to 26? (a) 17 (b) 20 (c) 10 (d) 16
  4. 4.What is the average of 25, 26, 8, 17, 17 and 27? (a) 24 (b) 19 (c) 20 (d) 21
  5. 5.What is the average of 56, 39, 46, 57, 66 and 54? (a) 53 (b) 52 (c) 55 (d) 54
  6. 6.What is the average of all the whole numbers from 30 to 40? (a) 35 (b) 5 (c) 10 (d) 36
  7. 7.What is the average of 50, 46, 55 and 93? (a) 62 (b) 60 (c) 63 (d) 61
  8. 8.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 34? (a) 106 (b) 42 (c) 80 (d) 34
  9. 9.What is the average of 80, 58, 72, 65, 63 and 52? (a) 64 (b) 66 (c) 65 (d) 78
  10. 10.What is the average of 79, 65, 80 and 48? (a) 68 (b) 69 (c) 70 (d) 67
  11. 11.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 9 (b) 52 (c) 8 (d) 24
  12. 12.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 64 (b) 84 (c) 24 (d) 44
  13. 13.What is the average of 51, 57, 54, 52 and 36? (a) 49 (b) 52 (c) 51 (d) 50
  14. 14.What is the average of all the whole numbers from 8 to 42? (a) 34 (b) 26 (c) 17 (d) 25
  15. 15.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 25? (a) 21 (b) 25 (c) 43 (d) 28
  16. 16.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 51 (c) 35 (d) 72
  17. 17.What is the average of all the whole numbers from 6 to 18? (a) 11 (b) 12 (c) 13 (d) 6
  18. 18.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 17 (b) 65 (c) 31 (d) 16
  19. 19.What is the average of 69, 39, 66, 58, 47 and 45? (a) 53 (b) 55 (c) 56 (d) 54
  20. 20.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 18 (b) 43 (c) 21 (d) 17
  21. 21.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 29? (a) 29 (b) 27 (c) 32 (d) 53
  22. 22.What is the average of 35, 51, 56, 38 and 35? (a) 44 (b) 42 (c) 45 (d) 43
  23. 23.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 49 (b) 27 (c) 42 (d) 20
  24. 24.What is the average of all the whole numbers from 52 to 74? (a) 22 (b) 64 (c) 63 (d) 11
  25. 25.What is the average of all the whole numbers from 10 to 34? (a) 23 (b) 12 (c) 22 (d) 24
  26. 26.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 23 (b) 38 (c) 81 (d) 24
  27. 27.What is the average of 41, 44, 52, 46, 62 and 91? (a) 56 (b) 57 (c) 58 (d) 55
  28. 28.A batter has an average of 34 runs in 9 matches. How many runs are needed in the next match to raise the average to 42? (a) 80 (b) 50 (c) 114 (d) 42
  29. 29.What is the average of all the whole numbers from 33 to 57? (a) 24 (b) 12 (c) 45 (d) 46
  30. 30.A batter has an average of 60 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 64 (b) 12 (c) 72 (d) 62
  31. 31.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 90 (c) 40 (d) 66
  32. 32.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 17 (b) 71 (c) 16 (d) 34
  33. 33.A batter has an average of 45 runs in 9 matches. How many runs are needed in the next match to raise the average to 50? (a) 96 (b) 55 (c) 95 (d) 50
  34. 34.What is the average of all the whole numbers from 33 to 63? (a) 48 (b) 15 (c) 49 (d) 30
  35. 35.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 40 (b) 92 (c) 56 (d) 60
  36. 36.What is the average of all the whole numbers from 20 to 42? (a) 22 (b) 31 (c) 32 (d) 11
  37. 37.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 35 (b) 45 (c) 73 (d) 52
  38. 38.A batter has an average of 55 runs in 6 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 14 (c) 69 (d) 59
  39. 39.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 45? (a) 49 (b) 45 (c) 36 (d) 77
  40. 40.What is the average of 48, 43, 27 and 22? (a) 35 (b) 36 (c) 34 (d) 37

Answer key

  1. 49
  2. 46
  3. 16
  4. 20
  5. 53
  6. 35
  7. 61
  8. 106
  9. 65
  10. 68
  11. 8
  12. 64
  13. 50
  14. 25
  15. 43
  16. 72
  17. 12
  18. 16
  19. 54
  20. 17
  21. 53
  22. 43
  23. 42
  24. 63
  25. 22
  26. 23
  27. 56
  28. 114
  29. 45
  30. 72
  31. 90
  32. 16
  33. 95
  34. 48
  35. 92
  36. 31
  37. 73
  38. 69
  39. 77
  40. 35

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