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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 452 · 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 24 to 34? (a) 5 (b) 10 (c) 30 (d) 29
  2. 2.What is the average of all the whole numbers from 21 to 61? (a) 41 (b) 20 (c) 42 (d) 40
  3. 3.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 25 (b) 51 (c) 57 (d) 31
  4. 4.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 45 (b) 35 (c) 14 (d) 33
  5. 5.What is the average of 79, 89, 86 and 54? (a) 79 (b) 76 (c) 77 (d) 78
  6. 6.A batter has an average of 53 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 27 (b) 59 (c) 56 (d) 80
  7. 7.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 55 (b) 16 (c) 63 (d) 51
  8. 8.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 37 (b) 31 (c) 75 (d) 32
  9. 9.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 27 (b) 8 (c) 52 (d) 33
  10. 10.A batter has an average of 39 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 57 (c) 18 (d) 45
  11. 11.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 49 (b) 4 (c) 91 (d) 46
  12. 12.What is the average of all the whole numbers from 7 to 19? (a) 12 (b) 13 (c) 6 (d) 14
  13. 13.What is the average of 91, 72, 75, 84 and 58? (a) 76 (b) 95 (c) 77 (d) 75
  14. 14.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 30 (b) 47 (c) 74 (d) 50
  15. 15.What is the average of all the whole numbers from 50 to 84? (a) 34 (b) 67 (c) 68 (d) 17
  16. 16.What is the average of all the whole numbers from 47 to 53? (a) 3 (b) 51 (c) 6 (d) 50
  17. 17.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 9 (b) 8 (c) 23 (d) 51
  18. 18.What is the average of 24, 30, 32, 45, 22 and 63? (a) 35 (b) 38 (c) 37 (d) 36
  19. 19.What is the average of 46, 38, 48, 54 and 44? (a) 48 (b) 45 (c) 46 (d) 47
  20. 20.What is the average of all the whole numbers from 53 to 67? (a) 61 (b) 14 (c) 7 (d) 60
  21. 21.What is the average of 35, 26, 27 and 60? (a) 37 (b) 39 (c) 36 (d) 38
  22. 22.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 21 (b) 34 (c) 16 (d) 29
  23. 23.What is the average of 69, 52, 61, 49 and 79? (a) 64 (b) 62 (c) 63 (d) 61
  24. 24.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 44 (b) 30 (c) 16 (d) 58
  25. 25.What is the average of 20, 42, 27, 26, 37 and 58? (a) 36 (b) 34 (c) 35 (d) 42
  26. 26.What is the average of all the whole numbers from 22 to 50? (a) 28 (b) 14 (c) 37 (d) 36
  27. 27.What is the average of all the whole numbers from 32 to 44? (a) 39 (b) 6 (c) 12 (d) 38
  28. 28.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 112 (b) 56 (c) 48 (d) 72
  29. 29.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 19 (b) 11 (c) 12 (d) 20
  30. 30.What is the average of all the whole numbers from 42 to 52? (a) 5 (b) 10 (c) 48 (d) 47
  31. 31.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 16 (b) 13 (c) 4 (d) 25
  32. 32.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 79 (b) 52 (c) 30 (d) 55
  33. 33.What is the average of 67, 66, 67, 69 and 11? (a) 55 (b) 56 (c) 70 (d) 57
  34. 34.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 10 (b) 40 (c) 21 (d) 29
  35. 35.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 11 (b) 5 (c) 4 (d) 23
  36. 36.A batter has an average of 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 34? (a) 30 (b) 61 (c) 37 (d) 34
  37. 37.What is the average of 36, 17, 12, 31, 38 and 28? (a) 29 (b) 27 (c) 28 (d) 26
  38. 38.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 40? (a) 54 (b) 40 (c) 16 (d) 42
  39. 39.A batter has an average of 56 runs in 3 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 8 (c) 60 (d) 64
  40. 40.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 12 (b) 29 (c) 39 (d) 56

Answer key

  1. 29
  2. 41
  3. 51
  4. 45
  5. 77
  6. 80
  7. 63
  8. 31
  9. 33
  10. 57
  11. 49
  12. 13
  13. 76
  14. 74
  15. 67
  16. 50
  17. 8
  18. 36
  19. 46
  20. 60
  21. 37
  22. 34
  23. 62
  24. 44
  25. 35
  26. 36
  27. 38
  28. 112
  29. 20
  30. 47
  31. 16
  32. 79
  33. 56
  34. 29
  35. 4
  36. 61
  37. 27
  38. 54
  39. 64
  40. 39

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