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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 916 · 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 4 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 16 (b) 49 (c) 37 (d) 70
  2. 2.What is the average of 57, 60, 60, 77, 68 and 98? (a) 84 (b) 70 (c) 71 (d) 69
  3. 3.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 36 (b) 76 (c) 13 (d) 12
  4. 4.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 15 (b) 27 (c) 16 (d) 56
  5. 5.What is the average of all the whole numbers from 18 to 50? (a) 32 (b) 16 (c) 34 (d) 35
  6. 6.What is the average of all the whole numbers from 7 to 47? (a) 20 (b) 28 (c) 40 (d) 27
  7. 7.What is the average of 20, 22, 16 and 34? (a) 24 (b) 23 (c) 22 (d) 25
  8. 8.What is the average of 64, 72, 55, 74 and 50? (a) 64 (b) 65 (c) 63 (d) 62
  9. 9.What is the average of all the whole numbers from 20 to 40? (a) 30 (b) 20 (c) 31 (d) 10
  10. 10.What is the average of all the whole numbers from 15 to 39? (a) 12 (b) 24 (c) 28 (d) 27
  11. 11.What is the average of 42, 57, 35 and 46? (a) 60 (b) 45 (c) 46 (d) 44
  12. 12.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 45 (c) 33 (d) 20
  13. 13.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 24? (a) 8 (b) 24 (c) 26 (d) 30
  14. 14.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 16 (b) 4 (c) 19 (d) 31
  15. 15.What is the average of 73, 67, 63, 70, 55 and 68? (a) 68 (b) 67 (c) 65 (d) 66
  16. 16.A batter has an average of 37 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 36 (b) 45 (c) 41 (d) 73
  17. 17.A batter has an average of 46 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 78 (c) 32 (d) 54
  18. 18.A batter has an average of 44 runs in 8 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 58 (c) 63 (d) 107
  19. 19.What is the average of 69, 47, 52 and 48? (a) 55 (b) 54 (c) 72 (d) 53
  20. 20.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 23 (b) 29 (c) 24 (d) 59
  21. 21.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 29? (a) 29 (b) 85 (c) 64 (d) 37
  22. 22.What is the average of all the whole numbers from 29 to 55? (a) 43 (b) 26 (c) 42 (d) 13
  23. 23.What is the average of all the whole numbers from 10 to 32? (a) 20 (b) 11 (c) 21 (d) 22
  24. 24.What is the average of 34, 39, 16, 18 and 13? (a) 25 (b) 23 (c) 30 (d) 24
  25. 25.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 55 (c) 27 (d) 34
  26. 26.What is the average of 56, 63, 54 and 79? (a) 84 (b) 64 (c) 63 (d) 62
  27. 27.What is the average of all the whole numbers from 8 to 26? (a) 18 (b) 17 (c) 9 (d) 16
  28. 28.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 85 (b) 25 (c) 45 (d) 65
  29. 29.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 22? (a) 24 (b) 22 (c) 10 (d) 30
  30. 30.What is the average of 10, 28, 30, 11, 32 and 15? (a) 20 (b) 23 (c) 22 (d) 21
  31. 31.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 19 (b) 4 (c) 37 (d) 22
  32. 32.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 61 (b) 67 (c) 36 (d) 30
  33. 33.What is the average of 30, 36, 22, 24, 40 and 46? (a) 35 (b) 34 (c) 32 (d) 33
  34. 34.What is the average of 74, 68, 66, 72 and 55? (a) 68 (b) 69 (c) 67 (d) 66
  35. 35.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 50 (b) 59 (c) 47 (d) 15
  36. 36.What is the average of 43, 41, 35, 51, 50 and 26? (a) 43 (b) 41 (c) 42 (d) 40
  37. 37.What is the average of 26, 33, 32 and 37? (a) 34 (b) 31 (c) 32 (d) 33
  38. 38.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 31 (c) 18 (d) 45
  39. 39.What is the average of all the whole numbers from 50 to 70? (a) 10 (b) 61 (c) 20 (d) 60
  40. 40.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 82 (b) 54 (c) 58 (d) 32

Answer key

  1. 49
  2. 70
  3. 12
  4. 15
  5. 34
  6. 27
  7. 23
  8. 63
  9. 30
  10. 27
  11. 45
  12. 45
  13. 30
  14. 19
  15. 66
  16. 73
  17. 78
  18. 107
  19. 54
  20. 23
  21. 85
  22. 42
  23. 21
  24. 24
  25. 55
  26. 63
  27. 17
  28. 65
  29. 30
  30. 21
  31. 22
  32. 61
  33. 33
  34. 67
  35. 59
  36. 41
  37. 32
  38. 45
  39. 60
  40. 82

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