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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 1 · 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 5 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 17 (b) 35 (c) 14 (d) 13
  2. 2.What is the average of 80, 61, 68, 61 and 105? (a) 77 (b) 76 (c) 75 (d) 74
  3. 3.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 51 (b) 27 (c) 18 (d) 42
  4. 4.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 58? (a) 67 (b) 61 (c) 58 (d) 12
  5. 5.What is the average of 17, 33, 25, 17, 18 and 64? (a) 29 (b) 28 (c) 31 (d) 30
  6. 6.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 12 (b) 15 (c) 13 (d) 31
  7. 7.What is the average of 86, 86, 65 and 79? (a) 81 (b) 78 (c) 80 (d) 79
  8. 8.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 23 (b) 34 (c) 14 (d) 25
  9. 9.What is the average of all the whole numbers from 41 to 49? (a) 8 (b) 46 (c) 4 (d) 45
  10. 10.What is the average of all the whole numbers from 12 to 46? (a) 17 (b) 34 (c) 29 (d) 30
  11. 11.What is the average of all the whole numbers from 12 to 20? (a) 4 (b) 16 (c) 8 (d) 17
  12. 12.What is the average of 42, 27, 20, 31 and 50? (a) 36 (b) 35 (c) 33 (d) 34
  13. 13.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 32 (b) 62 (c) 33 (d) 61
  14. 14.What is the average of 34, 23, 27 and 48? (a) 34 (b) 32 (c) 44 (d) 33
  15. 15.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 25 (b) 32 (c) 21 (d) 14
  16. 16.What is the average of 8, 35, 17 and 32? (a) 24 (b) 25 (c) 23 (d) 22
  17. 17.What is the average of all the whole numbers from 58 to 70? (a) 64 (b) 65 (c) 6 (d) 12
  18. 18.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 24 (b) 30 (c) 10 (d) 16
  19. 19.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 10 (b) 33 (c) 16 (d) 9
  20. 20.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 10 (b) 34 (c) 26 (d) 28
  21. 21.What is the average of 59, 61, 58, 39, 36 and 29? (a) 48 (b) 49 (c) 46 (d) 47
  22. 22.What is the average of 76, 90, 65, 68 and 76? (a) 77 (b) 75 (c) 74 (d) 76
  23. 23.What is the average of 41, 42, 29 and 40? (a) 38 (b) 37 (c) 40 (d) 39
  24. 24.What is the average of all the whole numbers from 14 to 20? (a) 17 (b) 6 (c) 18 (d) 3
  25. 25.What is the average of 39, 44, 57, 55, 38 and 73? (a) 50 (b) 51 (c) 53 (d) 52
  26. 26.What is the average of 42, 21, 47 and 18? (a) 34 (b) 33 (c) 32 (d) 31
  27. 27.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 10 (b) 52 (c) 46 (d) 44
  28. 28.A batter has an average of 59 runs in 3 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 20 (c) 69 (d) 79
  29. 29.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 20 (c) 75 (d) 59
  30. 30.What is the average of all the whole numbers from 22 to 38? (a) 8 (b) 30 (c) 31 (d) 16
  31. 31.What is the average of all the whole numbers from 27 to 53? (a) 26 (b) 13 (c) 41 (d) 40
  32. 32.A batter has an average of 45 runs in 6 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 14 (c) 49 (d) 59
  33. 33.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 12 (b) 17 (c) 31 (d) 26
  34. 34.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 39? (a) 43 (b) 16 (c) 51 (d) 39
  35. 35.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 24 (b) 16 (c) 10 (d) 30
  36. 36.What is the average of 92, 84, 67 and 73? (a) 78 (b) 80 (c) 79 (d) 81
  37. 37.What is the average of 73, 48, 70, 67 and 32? (a) 60 (b) 59 (c) 58 (d) 57
  38. 38.What is the average of 18, 34, 10, 16, 33 and 15? (a) 21 (b) 22 (c) 20 (d) 23
  39. 39.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 12 (b) 8 (c) 23 (d) 19
  40. 40.What is the average of all the whole numbers from 36 to 52? (a) 16 (b) 44 (c) 8 (d) 45

Answer key

  1. 13
  2. 75
  3. 42
  4. 67
  5. 29
  6. 12
  7. 79
  8. 34
  9. 45
  10. 29
  11. 16
  12. 34
  13. 61
  14. 33
  15. 32
  16. 23
  17. 64
  18. 24
  19. 9
  20. 34
  21. 47
  22. 75
  23. 38
  24. 17
  25. 51
  26. 32
  27. 52
  28. 79
  29. 75
  30. 30
  31. 40
  32. 59
  33. 26
  34. 51
  35. 30
  36. 79
  37. 58
  38. 21
  39. 19
  40. 44

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