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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 112 · 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 47, 61, 65 and 67? (a) 59 (b) 60 (c) 61 (d) 80
  2. 2.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 82 (b) 42 (c) 48 (d) 8
  3. 3.What is the average of 59, 75, 73, 61 and 87? (a) 71 (b) 73 (c) 72 (d) 70
  4. 4.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 91 (c) 35 (d) 70
  5. 5.What is the average of all the whole numbers from 10 to 22? (a) 12 (b) 16 (c) 6 (d) 17
  6. 6.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 81 (b) 41 (c) 46 (d) 45
  7. 7.A batter has an average of 42 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 60 (c) 54 (d) 102
  8. 8.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 21 (b) 10 (c) 40 (d) 29
  9. 9.What is the average of 16, 24, 14, 35, 43 and 42? (a) 28 (b) 29 (c) 30 (d) 31
  10. 10.What is the average of 8, 36, 25 and 23? (a) 22 (b) 25 (c) 23 (d) 24
  11. 11.What is the average of all the whole numbers from 20 to 26? (a) 3 (b) 24 (c) 6 (d) 23
  12. 12.A batter has an average of 43 runs in 6 matches. How many runs are needed in the next match to raise the average to 47? (a) 51 (b) 47 (c) 28 (d) 71
  13. 13.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 58? (a) 58 (b) 56 (c) 107 (d) 65
  14. 14.What is the average of 59, 80, 63, 67, 71 and 98? (a) 74 (b) 72 (c) 75 (d) 73
  15. 15.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 26? (a) 29 (b) 41 (c) 18 (d) 26
  16. 16.What is the average of 85, 80, 60, 61 and 64? (a) 71 (b) 72 (c) 69 (d) 70
  17. 17.What is the average of 54, 59, 33, 52 and 27? (a) 46 (b) 44 (c) 47 (d) 45
  18. 18.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 51 (b) 30 (c) 45 (d) 69
  19. 19.What is the average of all the whole numbers from 43 to 49? (a) 3 (b) 6 (c) 46 (d) 47
  20. 20.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 21 (c) 48 (d) 63
  21. 21.What is the average of 48, 34, 20, 43 and 20? (a) 32 (b) 35 (c) 34 (d) 33
  22. 22.What is the average of all the whole numbers from 36 to 50? (a) 43 (b) 7 (c) 14 (d) 44
  23. 23.What is the average of 87, 78, 67 and 56? (a) 72 (b) 96 (c) 73 (d) 71
  24. 24.What is the average of 33, 24, 22, 36, 21 and 74? (a) 36 (b) 42 (c) 35 (d) 34
  25. 25.What is the average of all the whole numbers from 19 to 53? (a) 36 (b) 17 (c) 34 (d) 37
  26. 26.What is the average of 33, 29, 30, 48 and 70? (a) 42 (b) 43 (c) 41 (d) 44
  27. 27.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 30? (a) 94 (b) 30 (c) 72 (d) 38
  28. 28.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 65? (a) 50 (b) 110 (c) 70 (d) 65
  29. 29.A batter has an average of 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 63 (c) 51 (d) 18
  30. 30.What is the average of 61, 53, 48, 63 and 90? (a) 65 (b) 63 (c) 62 (d) 64
  31. 31.What is the average of 28, 41, 47, 25, 46 and 53? (a) 41 (b) 39 (c) 40 (d) 48
  32. 32.What is the average of 32, 37, 32, 35, 31 and 25? (a) 32 (b) 31 (c) 34 (d) 33
  33. 33.A batter has an average of 51 runs in 6 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 56 (c) 107 (d) 67
  34. 34.What is the average of all the whole numbers from 11 to 47? (a) 18 (b) 36 (c) 30 (d) 29
  35. 35.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 101 (c) 37 (d) 80
  36. 36.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 47? (a) 18 (b) 49 (c) 47 (d) 63
  37. 37.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 16 (c) 53 (d) 61
  38. 38.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 18 (b) 20 (c) 32 (d) 34
  39. 39.What is the average of all the whole numbers from 17 to 25? (a) 21 (b) 4 (c) 8 (d) 22
  40. 40.What is the average of 23, 22, 38, 25 and 27? (a) 28 (b) 29 (c) 26 (d) 27

Answer key

  1. 60
  2. 48
  3. 71
  4. 91
  5. 16
  6. 81
  7. 102
  8. 29
  9. 29
  10. 23
  11. 23
  12. 71
  13. 107
  14. 73
  15. 41
  16. 70
  17. 45
  18. 69
  19. 46
  20. 63
  21. 33
  22. 43
  23. 72
  24. 35
  25. 36
  26. 42
  27. 94
  28. 110
  29. 63
  30. 63
  31. 40
  32. 32
  33. 107
  34. 29
  35. 101
  36. 63
  37. 61
  38. 34
  39. 21
  40. 27

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