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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 235 · 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.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 49 (c) 41 (d) 12
  2. 2.What is the average of 33, 48, 38 and 61? (a) 45 (b) 44 (c) 46 (d) 60
  3. 3.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 7 (b) 6 (c) 22 (d) 48
  4. 4.A batter has an average of 35 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 53 (c) 41 (d) 18
  5. 5.What is the average of 32, 45, 31, 53 and 54? (a) 42 (b) 43 (c) 45 (d) 44
  6. 6.What is the average of all the whole numbers from 35 to 49? (a) 43 (b) 42 (c) 7 (d) 14
  7. 7.What is the average of all the whole numbers from 43 to 55? (a) 6 (b) 50 (c) 12 (d) 49
  8. 8.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 48 (b) 63 (c) 18 (d) 33
  9. 9.A batter has an average of 44 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 42 (b) 58 (c) 51 (d) 86
  10. 10.What is the average of 25, 25, 36, 54, 33 and 61? (a) 40 (b) 38 (c) 39 (d) 41
  11. 11.What is the average of 10, 22, 9 and 47? (a) 21 (b) 24 (c) 23 (d) 22
  12. 12.What is the average of all the whole numbers from 10 to 28? (a) 19 (b) 18 (c) 9 (d) 20
  13. 13.What is the average of 31, 38, 23 and 36? (a) 34 (b) 32 (c) 31 (d) 33
  14. 14.What is the average of all the whole numbers from 31 to 71? (a) 51 (b) 40 (c) 20 (d) 52
  15. 15.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 39 (b) 34 (c) 25 (d) 54
  16. 16.What is the average of all the whole numbers from 23 to 53? (a) 15 (b) 30 (c) 38 (d) 39
  17. 17.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 32 (b) 65 (c) 29 (d) 30
  18. 18.What is the average of all the whole numbers from 30 to 70? (a) 50 (b) 40 (c) 51 (d) 20
  19. 19.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 37? (a) 69 (b) 37 (c) 41 (d) 36
  20. 20.What is the average of all the whole numbers from 6 to 20? (a) 12 (b) 14 (c) 7 (d) 13
  21. 21.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 6 (b) 34 (c) 57 (d) 29
  22. 22.What is the average of all the whole numbers from 47 to 67? (a) 58 (b) 20 (c) 57 (d) 10
  23. 23.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 59 (b) 39 (c) 74 (d) 24
  24. 24.What is the average of 5, 21, 8 and 46? (a) 19 (b) 22 (c) 20 (d) 21
  25. 25.What is the average of 13, 23, 41 and 31? (a) 36 (b) 28 (c) 27 (d) 26
  26. 26.What is the average of 21, 26, 18, 14, 30 and 65? (a) 30 (b) 31 (c) 29 (d) 28
  27. 27.What is the average of 33, 20, 24 and 47? (a) 31 (b) 30 (c) 32 (d) 33
  28. 28.What is the average of 26, 16, 21, 17, 29 and 71? (a) 30 (b) 29 (c) 31 (d) 36
  29. 29.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 17 (b) 33 (c) 4 (d) 20
  30. 30.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 53 (b) 32 (c) 61 (d) 24
  31. 31.What is the average of all the whole numbers from 11 to 19? (a) 16 (b) 4 (c) 15 (d) 8
  32. 32.What is the average of 36, 61, 58, 47 and 53? (a) 50 (b) 52 (c) 51 (d) 53
  33. 33.What is the average of all the whole numbers from 48 to 74? (a) 13 (b) 61 (c) 62 (d) 26
  34. 34.What is the average of 23, 16, 36, 13 and 42? (a) 25 (b) 28 (c) 26 (d) 27
  35. 35.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 15 (b) 60 (c) 57 (d) 69
  36. 36.What is the average of 51, 64, 63 and 50? (a) 57 (b) 76 (c) 58 (d) 56
  37. 37.A batter has an average of 50 runs in 6 matches. How many runs are needed in the next match to raise the average to 56? (a) 92 (b) 56 (c) 42 (d) 62
  38. 38.What is the average of all the whole numbers from 14 to 48? (a) 34 (b) 31 (c) 32 (d) 17
  39. 39.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 6 (b) 7 (c) 51 (d) 24
  40. 40.What is the average of all the whole numbers from 21 to 29? (a) 8 (b) 26 (c) 4 (d) 25

Answer key

  1. 49
  2. 45
  3. 6
  4. 53
  5. 43
  6. 42
  7. 49
  8. 48
  9. 86
  10. 39
  11. 22
  12. 19
  13. 32
  14. 51
  15. 54
  16. 38
  17. 29
  18. 50
  19. 69
  20. 13
  21. 34
  22. 57
  23. 59
  24. 20
  25. 27
  26. 29
  27. 31
  28. 30
  29. 20
  30. 53
  31. 15
  32. 51
  33. 61
  34. 26
  35. 69
  36. 57
  37. 92
  38. 31
  39. 6
  40. 25

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