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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 505 · 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 35, 28, 13 and 28? (a) 25 (b) 26 (c) 27 (d) 28
  2. 2.What is the average of all the whole numbers from 11 to 19? (a) 8 (b) 4 (c) 16 (d) 15
  3. 3.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 35 (b) 36 (c) 49 (d) 100
  4. 4.What is the average of 39, 26, 21 and 30? (a) 31 (b) 29 (c) 30 (d) 28
  5. 5.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 36 (b) 20 (c) 32 (d) 16
  6. 6.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 34? (a) 44 (b) 36 (c) 12 (d) 34
  7. 7.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 20 (b) 41 (c) 17 (d) 16
  8. 8.What is the average of all the whole numbers from 12 to 48? (a) 30 (b) 31 (c) 18 (d) 36
  9. 9.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 35 (b) 79 (c) 36 (d) 39
  10. 10.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 20 (b) 54 (c) 26 (d) 21
  11. 11.What is the average of all the whole numbers from 38 to 76? (a) 38 (b) 57 (c) 19 (d) 58
  12. 12.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 37? (a) 30 (b) 62 (c) 42 (d) 37
  13. 13.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 31? (a) 71 (b) 31 (c) 48 (d) 39
  14. 14.What is the average of 17, 10, 17 and 48? (a) 25 (b) 22 (c) 24 (d) 23
  15. 15.What is the average of 54, 58, 39 and 33? (a) 45 (b) 47 (c) 46 (d) 48
  16. 16.What is the average of all the whole numbers from 12 to 18? (a) 15 (b) 6 (c) 3 (d) 16
  17. 17.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 30 (b) 38 (c) 71 (d) 63
  18. 18.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 62 (b) 46 (c) 32 (d) 38
  19. 19.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 5 (b) 24 (c) 52 (d) 4
  20. 20.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 30 (c) 18 (d) 42
  21. 21.What is the average of 44, 42, 50, 65 and 59? (a) 53 (b) 52 (c) 51 (d) 65
  22. 22.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 36? (a) 24 (b) 40 (c) 36 (d) 56
  23. 23.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 75 (c) 66 (d) 15
  24. 24.What is the average of all the whole numbers from 21 to 59? (a) 19 (b) 38 (c) 41 (d) 40
  25. 25.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 32 (b) 52 (c) 76 (d) 60
  26. 26.What is the average of all the whole numbers from 51 to 81? (a) 30 (b) 67 (c) 66 (d) 15
  27. 27.What is the average of all the whole numbers from 51 to 85? (a) 34 (b) 17 (c) 69 (d) 68
  28. 28.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 47 (b) 28 (c) 98 (d) 27
  29. 29.What is the average of all the whole numbers from 26 to 62? (a) 45 (b) 18 (c) 36 (d) 44
  30. 30.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 3 (b) 2 (c) 40 (d) 18
  31. 31.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 55 (c) 40 (d) 25
  32. 32.What is the average of all the whole numbers from 12 to 34? (a) 24 (b) 11 (c) 23 (d) 22
  33. 33.What is the average of 62, 50, 63, 44 and 66? (a) 58 (b) 56 (c) 57 (d) 59
  34. 34.What is the average of 33, 17, 18, 28, 41 and 31? (a) 30 (b) 28 (c) 29 (d) 27
  35. 35.What is the average of 54, 46, 69 and 75? (a) 61 (b) 63 (c) 60 (d) 62
  36. 36.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 26? (a) 32 (b) 24 (c) 26 (d) 44
  37. 37.What is the average of 72, 72, 50, 79, 77 and 34? (a) 66 (b) 65 (c) 64 (d) 63
  38. 38.What is the average of 45, 25, 49 and 37? (a) 52 (b) 38 (c) 39 (d) 40
  39. 39.A batter has an average of 56 runs in 9 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 72 (c) 136 (d) 80
  40. 40.What is the average of 54, 45, 31 and 54? (a) 47 (b) 48 (c) 45 (d) 46

Answer key

  1. 26
  2. 15
  3. 35
  4. 29
  5. 32
  6. 44
  7. 16
  8. 30
  9. 35
  10. 20
  11. 57
  12. 62
  13. 71
  14. 23
  15. 46
  16. 15
  17. 63
  18. 62
  19. 4
  20. 42
  21. 52
  22. 56
  23. 75
  24. 40
  25. 76
  26. 66
  27. 68
  28. 27
  29. 44
  30. 2
  31. 55
  32. 23
  33. 57
  34. 28
  35. 61
  36. 44
  37. 64
  38. 39
  39. 136
  40. 46

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