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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 465 · 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 46 to 54? (a) 51 (b) 8 (c) 50 (d) 4
  2. 2.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 28 (b) 56 (c) 36 (d) 32
  3. 3.What is the average of all the whole numbers from 52 to 58? (a) 6 (b) 55 (c) 3 (d) 56
  4. 4.What is the average of all the whole numbers from 42 to 74? (a) 59 (b) 58 (c) 16 (d) 32
  5. 5.What is the average of all the whole numbers from 56 to 78? (a) 68 (b) 11 (c) 67 (d) 22
  6. 6.What is the average of 60, 56, 50 and 94? (a) 65 (b) 64 (c) 66 (d) 67
  7. 7.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 35 (b) 52 (c) 80 (d) 59
  8. 8.A batter has an average of 44 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 54 (b) 49 (c) 74 (d) 30
  9. 9.What is the average of 60, 53, 74 and 77? (a) 65 (b) 66 (c) 67 (d) 88
  10. 10.What is the average of 65, 53, 54 and 80? (a) 63 (b) 64 (c) 62 (d) 84
  11. 11.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 33? (a) 20 (b) 35 (c) 51 (d) 33
  12. 12.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 31 (b) 6 (c) 61 (d) 36
  13. 13.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 73 (b) 38 (c) 47 (d) 12
  14. 14.What is the average of 21, 42, 18, 18, 30 and 63? (a) 34 (b) 31 (c) 33 (d) 32
  15. 15.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 49 (b) 21 (c) 31 (d) 34
  16. 16.What is the average of 27, 37, 29, 13, 8 and 18? (a) 23 (b) 21 (c) 24 (d) 22
  17. 17.What is the average of 26, 19, 12 and 23? (a) 20 (b) 21 (c) 22 (d) 19
  18. 18.What is the average of all the whole numbers from 10 to 24? (a) 18 (b) 7 (c) 17 (d) 14
  19. 19.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 16 (b) 15 (c) 31 (d) 66
  20. 20.What is the average of all the whole numbers from 18 to 52? (a) 17 (b) 34 (c) 36 (d) 35
  21. 21.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 50? (a) 32 (b) 50 (c) 58 (d) 74
  22. 22.What is the average of 35, 44, 49 and 52? (a) 60 (b) 45 (c) 44 (d) 46
  23. 23.What is the average of all the whole numbers from 45 to 55? (a) 51 (b) 50 (c) 10 (d) 5
  24. 24.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 39 (c) 79 (d) 56
  25. 25.What is the average of 81, 73, 66, 64 and 101? (a) 76 (b) 79 (c) 78 (d) 77
  26. 26.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 26 (b) 54 (c) 14 (d) 15
  27. 27.What is the average of 80, 66, 60, 61 and 103? (a) 75 (b) 76 (c) 73 (d) 74
  28. 28.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 6 (b) 16 (c) 31 (d) 21
  29. 29.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 97 (b) 62 (c) 49 (d) 55
  30. 30.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 32 (b) 40 (c) 28 (d) 64
  31. 31.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 27 (b) 33 (c) 54 (d) 30
  32. 32.What is the average of 59, 66, 55 and 60? (a) 80 (b) 59 (c) 61 (d) 60
  33. 33.What is the average of all the whole numbers from 38 to 68? (a) 30 (b) 54 (c) 15 (d) 53
  34. 34.What is the average of all the whole numbers from 35 to 49? (a) 43 (b) 42 (c) 7 (d) 14
  35. 35.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 31 (b) 5 (c) 27 (d) 53
  36. 36.A batter has an average of 52 runs in 7 matches. How many runs are needed in the next match to raise the average to 56? (a) 84 (b) 56 (c) 60 (d) 32
  37. 37.What is the average of all the whole numbers from 34 to 68? (a) 51 (b) 17 (c) 34 (d) 52
  38. 38.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 40 (b) 38 (c) 62 (d) 30
  39. 39.What is the average of all the whole numbers from 38 to 54? (a) 47 (b) 8 (c) 46 (d) 16
  40. 40.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 22? (a) 28 (b) 22 (c) 8 (d) 24

Answer key

  1. 50
  2. 56
  3. 55
  4. 58
  5. 67
  6. 65
  7. 80
  8. 74
  9. 66
  10. 63
  11. 51
  12. 36
  13. 47
  14. 32
  15. 49
  16. 22
  17. 20
  18. 17
  19. 15
  20. 35
  21. 74
  22. 45
  23. 50
  24. 79
  25. 77
  26. 14
  27. 74
  28. 21
  29. 97
  30. 64
  31. 54
  32. 60
  33. 53
  34. 42
  35. 31
  36. 84
  37. 51
  38. 62
  39. 46
  40. 28

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