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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 450 · 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 50 to 64? (a) 14 (b) 7 (c) 57 (d) 58
  2. 2.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 21 (b) 30 (c) 13 (d) 38
  3. 3.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 14 (b) 64 (c) 30 (d) 15
  4. 4.What is the average of all the whole numbers from 28 to 40? (a) 12 (b) 6 (c) 35 (d) 34
  5. 5.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 21 (b) 49 (c) 20 (d) 24
  6. 6.A batter has an average of 59 runs in 7 matches. How many runs are needed in the next match to raise the average to 63? (a) 67 (b) 91 (c) 32 (d) 63
  7. 7.What is the average of 61, 63, 64, 42 and 35? (a) 52 (b) 55 (c) 54 (d) 53
  8. 8.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 47? (a) 8 (b) 53 (c) 47 (d) 49
  9. 9.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 78 (b) 40 (c) 52 (d) 14
  10. 10.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 29? (a) 78 (b) 56 (c) 29 (d) 36
  11. 11.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 81 (b) 14 (c) 13 (d) 38
  12. 12.A batter has an average of 39 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 51 (b) 48 (c) 87 (d) 45
  13. 13.What is the average of 41, 43, 48, 52, 43 and 91? (a) 53 (b) 52 (c) 55 (d) 54
  14. 14.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 64 (b) 16 (c) 34 (d) 46
  15. 15.What is the average of all the whole numbers from 9 to 47? (a) 38 (b) 19 (c) 28 (d) 29
  16. 16.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 50 (b) 43 (c) 99 (d) 63
  17. 17.What is the average of all the whole numbers from 31 to 37? (a) 34 (b) 35 (c) 3 (d) 6
  18. 18.What is the average of all the whole numbers from 15 to 47? (a) 30 (b) 16 (c) 32 (d) 31
  19. 19.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 45 (b) 57 (c) 41 (d) 20
  20. 20.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 53? (a) 53 (b) 56 (c) 15 (d) 65
  21. 21.What is the average of 37, 30, 16, 35 and 7? (a) 24 (b) 27 (c) 26 (d) 25
  22. 22.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 37 (b) 41 (c) 25 (d) 21
  23. 23.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 54 (c) 12 (d) 48
  24. 24.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 25 (c) 61 (d) 46
  25. 25.What is the average of 27, 19, 18 and 64? (a) 32 (b) 33 (c) 31 (d) 34
  26. 26.What is the average of all the whole numbers from 21 to 53? (a) 32 (b) 16 (c) 37 (d) 38
  27. 27.A batter has an average of 25 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 81 (b) 56 (c) 32 (d) 39
  28. 28.What is the average of 70, 55, 58 and 89? (a) 70 (b) 69 (c) 67 (d) 68
  29. 29.What is the average of all the whole numbers from 59 to 79? (a) 70 (b) 20 (c) 10 (d) 69
  30. 30.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 55? (a) 30 (b) 55 (c) 60 (d) 80
  31. 31.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 64 (b) 24 (c) 46 (d) 52
  32. 32.A batter has an average of 30 runs in 5 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 34 (c) 42 (d) 12
  33. 33.What is the average of all the whole numbers from 19 to 31? (a) 6 (b) 12 (c) 25 (d) 26
  34. 34.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 50? (a) 82 (b) 50 (c) 58 (d) 40
  35. 35.What is the average of all the whole numbers from 10 to 36? (a) 13 (b) 26 (c) 23 (d) 24
  36. 36.What is the average of 67, 62, 82 and 61? (a) 67 (b) 69 (c) 70 (d) 68
  37. 37.What is the average of 38, 38, 50 and 62? (a) 49 (b) 46 (c) 47 (d) 48
  38. 38.What is the average of 60, 48, 46, 50, 37 and 71? (a) 54 (b) 51 (c) 52 (d) 53
  39. 39.What is the average of all the whole numbers from 36 to 58? (a) 48 (b) 11 (c) 22 (d) 47
  40. 40.What is the average of all the whole numbers from 9 to 31? (a) 22 (b) 11 (c) 21 (d) 20

Answer key

  1. 57
  2. 38
  3. 14
  4. 34
  5. 20
  6. 91
  7. 53
  8. 53
  9. 52
  10. 78
  11. 13
  12. 87
  13. 53
  14. 46
  15. 28
  16. 99
  17. 34
  18. 31
  19. 57
  20. 65
  21. 25
  22. 41
  23. 54
  24. 61
  25. 32
  26. 37
  27. 81
  28. 68
  29. 69
  30. 80
  31. 64
  32. 42
  33. 25
  34. 82
  35. 23
  36. 68
  37. 47
  38. 52
  39. 47
  40. 20

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