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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 349 · 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 42, 43, 16 and 19? (a) 40 (b) 31 (c) 30 (d) 29
  2. 2.What is the average of all the whole numbers from 49 to 85? (a) 67 (b) 68 (c) 18 (d) 36
  3. 3.What is the average of 48, 45, 53, 30, 37 and 21? (a) 41 (b) 40 (c) 39 (d) 38
  4. 4.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 29? (a) 29 (b) 57 (c) 36 (d) 35
  5. 5.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 60 (b) 28 (c) 40 (d) 36
  6. 6.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 10 (c) 39 (d) 45
  7. 7.What is the average of all the whole numbers from 21 to 45? (a) 34 (b) 12 (c) 24 (d) 33
  8. 8.A batter has an average of 52 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 56 (b) 10 (c) 54 (d) 62
  9. 9.What is the average of 49, 69, 56, 50 and 51? (a) 55 (b) 57 (c) 56 (d) 54
  10. 10.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 57? (a) 57 (b) 54 (c) 105 (d) 63
  11. 11.What is the average of 46, 48, 59, 61 and 16? (a) 45 (b) 48 (c) 47 (d) 46
  12. 12.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 90 (b) 43 (c) 27 (d) 28
  13. 13.What is the average of 68, 73, 62, 54, 57 and 70? (a) 64 (b) 66 (c) 65 (d) 63
  14. 14.What is the average of 41, 29, 39, 36 and 25? (a) 33 (b) 35 (c) 34 (d) 36
  15. 15.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 25 (b) 51 (c) 36 (d) 31
  16. 16.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 57 (b) 30 (c) 33 (d) 58
  17. 17.What is the average of all the whole numbers from 8 to 14? (a) 3 (b) 11 (c) 12 (d) 6
  18. 18.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 18 (b) 50 (c) 48 (d) 64
  19. 19.A batter has an average of 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 49 (b) 41 (c) 16 (d) 37
  20. 20.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 18 (b) 43 (c) 45 (d) 59
  21. 21.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 32 (b) 66 (c) 20 (d) 21
  22. 22.What is the average of 22, 47, 37, 44, 24 and 42? (a) 38 (b) 36 (c) 37 (d) 35
  23. 23.What is the average of all the whole numbers from 15 to 55? (a) 36 (b) 40 (c) 20 (d) 35
  24. 24.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 32 (b) 24 (c) 12 (d) 20
  25. 25.What is the average of all the whole numbers from 26 to 50? (a) 39 (b) 24 (c) 12 (d) 38
  26. 26.A batter has an average of 43 runs in 7 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 91 (c) 55 (d) 48
  27. 27.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 37 (b) 5 (c) 33 (d) 65
  28. 28.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 28 (b) 34 (c) 19 (d) 43
  29. 29.What is the average of all the whole numbers from 6 to 40? (a) 24 (b) 34 (c) 23 (d) 17
  30. 30.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 64 (b) 55 (c) 15 (d) 52
  31. 31.What is the average of 69, 71, 75 and 61? (a) 70 (b) 68 (c) 69 (d) 92
  32. 32.What is the average of all the whole numbers from 15 to 25? (a) 20 (b) 5 (c) 10 (d) 21
  33. 33.What is the average of all the whole numbers from 13 to 37? (a) 26 (b) 25 (c) 24 (d) 12
  34. 34.What is the average of 73, 62, 82 and 83? (a) 75 (b) 100 (c) 76 (d) 74
  35. 35.What is the average of all the whole numbers from 12 to 22? (a) 17 (b) 18 (c) 5 (d) 10
  36. 36.What is the average of all the whole numbers from 30 to 56? (a) 26 (b) 43 (c) 13 (d) 44
  37. 37.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 53 (b) 15 (c) 28 (d) 40
  38. 38.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 62 (b) 86 (c) 40 (d) 54
  39. 39.What is the average of all the whole numbers from 9 to 47? (a) 28 (b) 19 (c) 29 (d) 38
  40. 40.What is the average of all the whole numbers from 24 to 60? (a) 36 (b) 42 (c) 18 (d) 43

Answer key

  1. 30
  2. 67
  3. 39
  4. 57
  5. 60
  6. 45
  7. 33
  8. 62
  9. 55
  10. 105
  11. 46
  12. 27
  13. 64
  14. 34
  15. 51
  16. 57
  17. 11
  18. 64
  19. 49
  20. 59
  21. 20
  22. 36
  23. 35
  24. 32
  25. 38
  26. 91
  27. 37
  28. 43
  29. 23
  30. 64
  31. 69
  32. 20
  33. 25
  34. 75
  35. 17
  36. 43
  37. 40
  38. 86
  39. 28
  40. 42

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