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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 104 · 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 6 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 78 (b) 29 (c) 38 (d) 28
  2. 2.What is the average of 38, 43, 50, 44, 49 and 64? (a) 48 (b) 49 (c) 50 (d) 47
  3. 3.What is the average of 47, 48, 73, 64, 73 and 61? (a) 63 (b) 60 (c) 61 (d) 62
  4. 4.What is the average of 24, 50, 26, 22, 27 and 67? (a) 35 (b) 38 (c) 36 (d) 37
  5. 5.What is the average of all the whole numbers from 34 to 60? (a) 48 (b) 47 (c) 26 (d) 13
  6. 6.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 18 (b) 26 (c) 17 (d) 55
  7. 7.What is the average of all the whole numbers from 25 to 53? (a) 28 (b) 39 (c) 40 (d) 14
  8. 8.What is the average of all the whole numbers from 33 to 41? (a) 38 (b) 8 (c) 4 (d) 37
  9. 9.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 24? (a) 39 (b) 27 (c) 18 (d) 24
  10. 10.What is the average of all the whole numbers from 32 to 56? (a) 24 (b) 44 (c) 45 (d) 12
  11. 11.What is the average of all the whole numbers from 31 to 37? (a) 6 (b) 34 (c) 35 (d) 3
  12. 12.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 20 (b) 21 (c) 11 (d) 12
  13. 13.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 40 (b) 56 (c) 32 (d) 57
  14. 14.What is the average of all the whole numbers from 10 to 22? (a) 12 (b) 16 (c) 6 (d) 17
  15. 15.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 95 (c) 47 (d) 64
  16. 16.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 45 (c) 40 (d) 75
  17. 17.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 72 (b) 51 (c) 16 (d) 37
  18. 18.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 69 (b) 61 (c) 40 (d) 93
  19. 19.A batter has an average of 36 runs in 9 matches. How many runs are needed in the next match to raise the average to 40? (a) 77 (b) 44 (c) 76 (d) 40
  20. 20.A batter has an average of 35 runs in 6 matches. How many runs are needed in the next match to raise the average to 40? (a) 35 (b) 45 (c) 70 (d) 40
  21. 21.What is the average of all the whole numbers from 55 to 77? (a) 11 (b) 22 (c) 67 (d) 66
  22. 22.What is the average of all the whole numbers from 60 to 98? (a) 38 (b) 19 (c) 80 (d) 79
  23. 23.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 69 (b) 30 (c) 34 (d) 29
  24. 24.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 57 (b) 50 (c) 78 (d) 35
  25. 25.What is the average of 32, 56, 37 and 55? (a) 45 (b) 60 (c) 46 (d) 44
  26. 26.What is the average of 39, 55, 47 and 27? (a) 42 (b) 41 (c) 56 (d) 43
  27. 27.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 4 (b) 45 (c) 42 (d) 83
  28. 28.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 8 (c) 39 (d) 43
  29. 29.What is the average of 26, 33, 41, 18, 14 and 42? (a) 28 (b) 30 (c) 31 (d) 29
  30. 30.What is the average of 39, 57, 51 and 37? (a) 45 (b) 47 (c) 46 (d) 48
  31. 31.A batter has an average of 20 runs in 6 matches. How many runs are needed in the next match to raise the average to 24? (a) 48 (b) 24 (c) 49 (d) 28
  32. 32.What is the average of all the whole numbers from 54 to 60? (a) 3 (b) 6 (c) 57 (d) 58
  33. 33.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 19 (b) 14 (c) 13 (d) 40
  34. 34.What is the average of 40, 37, 41, 53 and 24? (a) 40 (b) 39 (c) 41 (d) 38
  35. 35.What is the average of all the whole numbers from 12 to 50? (a) 32 (b) 38 (c) 19 (d) 31
  36. 36.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) 27 (b) 69 (c) 33 (d) 48
  37. 37.What is the average of 47, 53, 67, 62 and 71? (a) 75 (b) 59 (c) 61 (d) 60
  38. 38.What is the average of all the whole numbers from 9 to 37? (a) 28 (b) 24 (c) 23 (d) 14
  39. 39.What is the average of 77, 61, 67, 50 and 55? (a) 64 (b) 61 (c) 62 (d) 63
  40. 40.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 50 (b) 23 (c) 8 (d) 7

Answer key

  1. 28
  2. 48
  3. 61
  4. 36
  5. 47
  6. 17
  7. 39
  8. 37
  9. 39
  10. 44
  11. 34
  12. 21
  13. 56
  14. 16
  15. 95
  16. 75
  17. 51
  18. 93
  19. 76
  20. 70
  21. 66
  22. 79
  23. 29
  24. 78
  25. 45
  26. 42
  27. 45
  28. 43
  29. 29
  30. 46
  31. 48
  32. 57
  33. 13
  34. 39
  35. 31
  36. 69
  37. 60
  38. 23
  39. 62
  40. 7

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