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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 811 · 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 46, 67, 52, 51 and 44? (a) 65 (b) 53 (c) 52 (d) 51
  2. 2.A batter has an average of 49 runs in 5 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 59 (c) 30 (d) 79
  3. 3.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 2 (b) 46 (c) 1 (d) 21
  4. 4.What is the average of all the whole numbers from 5 to 17? (a) 6 (b) 12 (c) 11 (d) 10
  5. 5.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 73 (b) 36 (c) 42 (d) 72
  6. 6.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 40 (b) 22 (c) 57 (d) 39
  7. 7.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) 75 (b) 66 (c) 15 (d) 63
  8. 8.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) 42 (b) 4 (c) 45 (d) 83
  9. 9.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 22 (b) 14 (c) 13 (d) 47
  10. 10.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 7 (b) 8 (c) 36 (d) 17
  11. 11.What is the average of all the whole numbers from 8 to 40? (a) 24 (b) 32 (c) 25 (d) 16
  12. 12.What is the average of 76, 65, 64, 79 and 51? (a) 69 (b) 67 (c) 66 (d) 68
  13. 13.What is the average of all the whole numbers from 27 to 39? (a) 34 (b) 12 (c) 33 (d) 6
  14. 14.What is the average of all the whole numbers from 39 to 75? (a) 36 (b) 18 (c) 58 (d) 57
  15. 15.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 70 (b) 37 (c) 28 (d) 61
  16. 16.What is the average of all the whole numbers from 52 to 74? (a) 64 (b) 11 (c) 63 (d) 22
  17. 17.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 96 (c) 63 (d) 47
  18. 18.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 64? (a) 120 (b) 63 (c) 71 (d) 64
  19. 19.What is the average of 21, 24, 34, 41, 45 and 51? (a) 35 (b) 36 (c) 38 (d) 37
  20. 20.What is the average of all the whole numbers from 26 to 36? (a) 31 (b) 10 (c) 32 (d) 5
  21. 21.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 34 (b) 49 (c) 20 (d) 63
  22. 22.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 8 (b) 37 (c) 26 (d) 19
  23. 23.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 10 (b) 41 (c) 47 (d) 39
  24. 24.What is the average of all the whole numbers from 52 to 80? (a) 67 (b) 14 (c) 28 (d) 66
  25. 25.What is the average of 71, 73, 68, 66 and 27? (a) 60 (b) 62 (c) 61 (d) 63
  26. 26.What is the average of all the whole numbers from 52 to 70? (a) 18 (b) 62 (c) 9 (d) 61
  27. 27.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 8 (b) 66 (c) 7 (d) 31
  28. 28.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 31? (a) 31 (b) 38 (c) 28 (d) 52
  29. 29.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 66? (a) 66 (b) 72 (c) 84 (d) 24
  30. 30.What is the average of 41, 37, 36 and 18? (a) 44 (b) 34 (c) 32 (d) 33
  31. 31.What is the average of 35, 36, 24 and 37? (a) 44 (b) 33 (c) 34 (d) 32
  32. 32.What is the average of 67, 61, 52, 53 and 37? (a) 56 (b) 53 (c) 55 (d) 54
  33. 33.A batter has an average of 25 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 81 (b) 56 (c) 32 (d) 39
  34. 34.What is the average of 57, 41, 35 and 51? (a) 45 (b) 47 (c) 46 (d) 48
  35. 35.What is the average of all the whole numbers from 6 to 44? (a) 19 (b) 26 (c) 38 (d) 25
  36. 36.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 11 (b) 14 (c) 29 (d) 12
  37. 37.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 25 (c) 62 (d) 47
  38. 38.What is the average of all the whole numbers from 21 to 43? (a) 33 (b) 11 (c) 32 (d) 22
  39. 39.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 44? (a) 44 (b) 46 (c) 14 (d) 56
  40. 40.What is the average of all the whole numbers from 49 to 59? (a) 55 (b) 54 (c) 5 (d) 10

Answer key

  1. 52
  2. 79
  3. 1
  4. 11
  5. 72
  6. 57
  7. 75
  8. 45
  9. 13
  10. 7
  11. 24
  12. 67
  13. 33
  14. 57
  15. 61
  16. 63
  17. 96
  18. 120
  19. 36
  20. 31
  21. 49
  22. 26
  23. 47
  24. 66
  25. 61
  26. 61
  27. 7
  28. 52
  29. 84
  30. 33
  31. 33
  32. 54
  33. 81
  34. 46
  35. 25
  36. 11
  37. 62
  38. 32
  39. 56
  40. 54

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