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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 77 · 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 29 to 49? (a) 39 (b) 20 (c) 40 (d) 10
  2. 2.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 44 (b) 16 (c) 17 (d) 92
  3. 3.What is the average of all the whole numbers from 10 to 48? (a) 19 (b) 38 (c) 30 (d) 29
  4. 4.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 42 (c) 28 (d) 56
  5. 5.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 10 (b) 70 (c) 44 (d) 36
  6. 6.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 28 (b) 59 (c) 73 (d) 52
  7. 7.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 40 (b) 33 (c) 8 (d) 65
  8. 8.What is the average of 45, 74, 51, 47 and 78? (a) 58 (b) 59 (c) 60 (d) 61
  9. 9.What is the average of 30, 28, 21, 36 and 65? (a) 45 (b) 35 (c) 36 (d) 37
  10. 10.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 50 (b) 72 (c) 27 (d) 32
  11. 11.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 21 (b) 7 (c) 41 (d) 27
  12. 12.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 25 (b) 75 (c) 55 (d) 60
  13. 13.What is the average of all the whole numbers from 36 to 62? (a) 50 (b) 49 (c) 26 (d) 13
  14. 14.What is the average of all the whole numbers from 45 to 79? (a) 62 (b) 34 (c) 63 (d) 17
  15. 15.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 44 (b) 4 (c) 5 (d) 20
  16. 16.What is the average of 16, 27, 37, 36 and 14? (a) 28 (b) 26 (c) 27 (d) 25
  17. 17.What is the average of 29, 48, 37, 32 and 24? (a) 35 (b) 33 (c) 36 (d) 34
  18. 18.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 19 (b) 40 (c) 11 (d) 12
  19. 19.What is the average of all the whole numbers from 20 to 52? (a) 16 (b) 37 (c) 32 (d) 36
  20. 20.What is the average of 74, 48, 70 and 60? (a) 84 (b) 64 (c) 63 (d) 62
  21. 21.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 24 (b) 5 (c) 47 (d) 28
  22. 22.A batter has an average of 45 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 69 (b) 51 (c) 24 (d) 48
  23. 23.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 3 (b) 39 (c) 4 (d) 18
  24. 24.What is the average of 89, 90, 84, 79, 88 and 44? (a) 80 (b) 81 (c) 78 (d) 79
  25. 25.What is the average of 52, 48, 27, 50 and 33? (a) 42 (b) 43 (c) 44 (d) 41
  26. 26.What is the average of 53, 54, 73, 59 and 91? (a) 66 (b) 68 (c) 67 (d) 65
  27. 27.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) 49 (b) 48 (c) 24 (d) 28
  28. 28.What is the average of 60, 57, 39 and 28? (a) 47 (b) 45 (c) 46 (d) 48
  29. 29.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 38 (c) 30 (d) 12
  30. 30.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 30 (b) 5 (c) 4 (d) 14
  31. 31.What is the average of 85, 65, 90 and 64? (a) 78 (b) 75 (c) 77 (d) 76
  32. 32.A batter has an average of 51 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 57 (b) 54 (c) 78 (d) 27
  33. 33.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 46? (a) 49 (b) 46 (c) 18 (d) 61
  34. 34.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 18 (b) 4 (c) 21 (d) 35
  35. 35.What is the average of all the whole numbers from 36 to 48? (a) 6 (b) 12 (c) 43 (d) 42
  36. 36.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 30 (b) 17 (c) 16 (d) 29
  37. 37.What is the average of 52, 61, 68 and 67? (a) 63 (b) 61 (c) 62 (d) 64
  38. 38.What is the average of all the whole numbers from 19 to 31? (a) 6 (b) 12 (c) 26 (d) 25
  39. 39.What is the average of 80, 53, 67, 80, 80 and 36? (a) 67 (b) 68 (c) 66 (d) 65
  40. 40.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 37 (b) 38 (c) 21 (d) 20

Answer key

  1. 39
  2. 16
  3. 29
  4. 56
  5. 44
  6. 73
  7. 40
  8. 59
  9. 36
  10. 72
  11. 27
  12. 75
  13. 49
  14. 62
  15. 4
  16. 26
  17. 34
  18. 11
  19. 36
  20. 63
  21. 28
  22. 69
  23. 3
  24. 79
  25. 42
  26. 66
  27. 48
  28. 46
  29. 38
  30. 4
  31. 76
  32. 78
  33. 61
  34. 21
  35. 42
  36. 29
  37. 62
  38. 25
  39. 66
  40. 38

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