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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 129 · 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 all the whole numbers from 14 to 24? (a) 19 (b) 5 (c) 20 (d) 10
  2. 2.What is the average of all the whole numbers from 23 to 45? (a) 11 (b) 35 (c) 22 (d) 34
  3. 3.What is the average of all the whole numbers from 23 to 49? (a) 26 (b) 13 (c) 36 (d) 37
  4. 4.What is the average of 65, 61, 56, 69 and 49? (a) 59 (b) 60 (c) 75 (d) 61
  5. 5.What is the average of 50, 58, 67, 38 and 47? (a) 65 (b) 51 (c) 53 (d) 52
  6. 6.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 16 (b) 50 (c) 72 (d) 38
  7. 7.What is the average of 29, 46, 20 and 45? (a) 37 (b) 36 (c) 34 (d) 35
  8. 8.What is the average of all the whole numbers from 11 to 19? (a) 16 (b) 8 (c) 4 (d) 15
  9. 9.What is the average of all the whole numbers from 35 to 61? (a) 13 (b) 26 (c) 49 (d) 48
  10. 10.What is the average of all the whole numbers from 36 to 60? (a) 24 (b) 49 (c) 12 (d) 48
  11. 11.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 26 (b) 12 (c) 16 (d) 22
  12. 12.A batter has an average of 42 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 92 (b) 47 (c) 50 (d) 52
  13. 13.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 12 (b) 67 (c) 44 (d) 35
  14. 14.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 28? (a) 28 (b) 42 (c) 35 (d) 63
  15. 15.What is the average of all the whole numbers from 57 to 77? (a) 67 (b) 10 (c) 20 (d) 68
  16. 16.What is the average of all the whole numbers from 8 to 24? (a) 17 (b) 16 (c) 15 (d) 8
  17. 17.What is the average of 46, 56, 31, 50, 33 and 30? (a) 40 (b) 42 (c) 41 (d) 43
  18. 18.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 39? (a) 39 (b) 55 (c) 41 (d) 18
  19. 19.What is the average of all the whole numbers from 28 to 34? (a) 31 (b) 6 (c) 32 (d) 3
  20. 20.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 16 (b) 8 (c) 31 (d) 23
  21. 21.What is the average of all the whole numbers from 15 to 35? (a) 25 (b) 26 (c) 20 (d) 10
  22. 22.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 30 (b) 54 (c) 32 (d) 26
  23. 23.What is the average of 36, 38, 60 and 46? (a) 60 (b) 45 (c) 44 (d) 46
  24. 24.What is the average of all the whole numbers from 9 to 19? (a) 10 (b) 15 (c) 5 (d) 14
  25. 25.What is the average of all the whole numbers from 20 to 58? (a) 40 (b) 39 (c) 19 (d) 38
  26. 26.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 89 (b) 23 (c) 22 (d) 43
  27. 27.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 18 (b) 37 (c) 14 (d) 13
  28. 28.A batter has an average of 33 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 43 (b) 30 (c) 38 (d) 63
  29. 29.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 4 (b) 34 (c) 61 (d) 31
  30. 30.What is the average of 51, 41, 54, 56 and 48? (a) 49 (b) 52 (c) 50 (d) 51
  31. 31.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 21 (b) 40 (c) 38 (d) 39
  32. 32.What is the average of all the whole numbers from 8 to 44? (a) 18 (b) 36 (c) 26 (d) 27
  33. 33.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 27 (b) 28 (c) 29 (d) 16
  34. 34.What is the average of 55, 56, 41 and 44? (a) 50 (b) 49 (c) 48 (d) 51
  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 51? (a) 58 (b) 51 (c) 35 (d) 79
  36. 36.What is the average of all the whole numbers from 50 to 88? (a) 38 (b) 69 (c) 70 (d) 19
  37. 37.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 63 (b) 28 (c) 31 (d) 27
  38. 38.What is the average of all the whole numbers from 16 to 30? (a) 7 (b) 24 (c) 23 (d) 14
  39. 39.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 31 (b) 17 (c) 29 (d) 15
  40. 40.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 8 (b) 39 (c) 41 (d) 45

Answer key

  1. 19
  2. 34
  3. 36
  4. 60
  5. 52
  6. 50
  7. 35
  8. 15
  9. 48
  10. 48
  11. 26
  12. 92
  13. 44
  14. 63
  15. 67
  16. 16
  17. 41
  18. 55
  19. 31
  20. 23
  21. 25
  22. 54
  23. 45
  24. 14
  25. 39
  26. 22
  27. 13
  28. 63
  29. 34
  30. 50
  31. 39
  32. 26
  33. 28
  34. 49
  35. 79
  36. 69
  37. 27
  38. 23
  39. 29
  40. 45

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