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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 639 · 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.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 47 (b) 26 (c) 24 (d) 49
  2. 2.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 10 (b) 44 (c) 31 (d) 23
  3. 3.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 12 (b) 33 (c) 35 (d) 43
  4. 4.What is the average of 74, 62, 50, 54 and 55? (a) 60 (b) 59 (c) 61 (d) 58
  5. 5.What is the average of all the whole numbers from 17 to 33? (a) 16 (b) 25 (c) 26 (d) 8
  6. 6.A batter has an average of 42 runs in 7 matches. How many runs are needed in the next match to raise the average to 49? (a) 98 (b) 56 (c) 49 (d) 99
  7. 7.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 23 (b) 47 (c) 17 (d) 16
  8. 8.What is the average of all the whole numbers from 8 to 30? (a) 22 (b) 20 (c) 11 (d) 19
  9. 9.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 29? (a) 29 (b) 85 (c) 36 (d) 63
  10. 10.What is the average of all the whole numbers from 52 to 86? (a) 70 (b) 34 (c) 17 (d) 69
  11. 11.What is the average of 45, 41, 34 and 20? (a) 34 (b) 35 (c) 36 (d) 37
  12. 12.What is the average of 56, 50, 36, 33, 45 and 44? (a) 43 (b) 44 (c) 46 (d) 45
  13. 13.What is the average of 32, 56, 50 and 42? (a) 46 (b) 60 (c) 44 (d) 45
  14. 14.What is the average of all the whole numbers from 15 to 37? (a) 22 (b) 11 (c) 26 (d) 27
  15. 15.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) 63 (b) 68 (c) 25 (d) 83
  16. 16.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 48 (b) 33 (c) 27 (d) 69
  17. 17.What is the average of 76, 80, 61 and 67? (a) 71 (b) 70 (c) 72 (d) 73
  18. 18.What is the average of 69, 68, 71, 65 and 22? (a) 60 (b) 58 (c) 59 (d) 61
  19. 19.What is the average of 35, 44, 34, 36 and 91? (a) 47 (b) 60 (c) 48 (d) 49
  20. 20.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 29? (a) 35 (b) 71 (c) 48 (d) 29
  21. 21.What is the average of 61, 61, 75, 86, 81 and 86? (a) 90 (b) 76 (c) 74 (d) 75
  22. 22.What is the average of all the whole numbers from 26 to 66? (a) 20 (b) 46 (c) 47 (d) 40
  23. 23.What is the average of 66, 77, 71, 58 and 48? (a) 63 (b) 64 (c) 65 (d) 80
  24. 24.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 49? (a) 72 (b) 49 (c) 57 (d) 113
  25. 25.What is the average of 53, 53, 43, 33, 53 and 41? (a) 46 (b) 48 (c) 47 (d) 45
  26. 26.What is the average of all the whole numbers from 39 to 49? (a) 44 (b) 45 (c) 10 (d) 5
  27. 27.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 57 (c) 89 (d) 40
  28. 28.What is the average of all the whole numbers from 40 to 48? (a) 45 (b) 4 (c) 8 (d) 44
  29. 29.What is the average of 38, 58, 51 and 53? (a) 52 (b) 49 (c) 50 (d) 51
  30. 30.What is the average of 30, 28, 14, 22, 17 and 63? (a) 29 (b) 30 (c) 31 (d) 28
  31. 31.What is the average of 67, 50, 54, 44, 58 and 51? (a) 53 (b) 56 (c) 54 (d) 55
  32. 32.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 63 (c) 30 (d) 87
  33. 33.What is the average of 44, 24, 44 and 24? (a) 34 (b) 36 (c) 33 (d) 35
  34. 34.What is the average of 53, 50, 45 and 20? (a) 42 (b) 56 (c) 43 (d) 41
  35. 35.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 40? (a) 42 (b) 10 (c) 48 (d) 40
  36. 36.What is the average of 15, 32, 32, 16 and 15? (a) 21 (b) 22 (c) 23 (d) 24
  37. 37.A batter has an average of 45 runs in 8 matches. How many runs are needed in the next match to raise the average to 50? (a) 45 (b) 50 (c) 55 (d) 90
  38. 38.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 39 (b) 9 (c) 18 (d) 10
  39. 39.A batter has an average of 51 runs in 9 matches. How many runs are needed in the next match to raise the average to 53? (a) 55 (b) 71 (c) 53 (d) 20
  40. 40.What is the average of all the whole numbers from 7 to 29? (a) 19 (b) 11 (c) 18 (d) 22

Answer key

  1. 47
  2. 31
  3. 43
  4. 59
  5. 25
  6. 98
  7. 16
  8. 19
  9. 85
  10. 69
  11. 35
  12. 44
  13. 45
  14. 26
  15. 83
  16. 69
  17. 71
  18. 59
  19. 48
  20. 71
  21. 75
  22. 46
  23. 64
  24. 113
  25. 46
  26. 44
  27. 89
  28. 44
  29. 50
  30. 29
  31. 54
  32. 87
  33. 34
  34. 42
  35. 48
  36. 22
  37. 90
  38. 9
  39. 71
  40. 18

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