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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 241 · 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.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 70 (c) 64 (d) 12
  2. 2.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 62 (b) 96 (c) 16 (d) 50
  3. 3.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 42 (b) 8 (c) 19 (d) 7
  4. 4.What is the average of 58, 76, 49 and 65? (a) 62 (b) 63 (c) 61 (d) 64
  5. 5.What is the average of all the whole numbers from 39 to 55? (a) 8 (b) 16 (c) 48 (d) 47
  6. 6.What is the average of 51, 45, 70 and 70? (a) 59 (b) 60 (c) 61 (d) 58
  7. 7.What is the average of 55, 45, 60 and 56? (a) 54 (b) 72 (c) 53 (d) 55
  8. 8.What is the average of 37, 53, 60, 46, 39 and 53? (a) 49 (b) 50 (c) 48 (d) 47
  9. 9.What is the average of all the whole numbers from 22 to 34? (a) 28 (b) 6 (c) 29 (d) 12
  10. 10.What is the average of 71, 43, 56, 50, 71 and 57? (a) 57 (b) 59 (c) 60 (d) 58
  11. 11.What is the average of all the whole numbers from 16 to 40? (a) 12 (b) 29 (c) 24 (d) 28
  12. 12.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 29 (b) 16 (c) 12 (d) 25
  13. 13.What is the average of 39, 63, 44, 58, 43 and 53? (a) 60 (b) 51 (c) 50 (d) 49
  14. 14.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 49? (a) 79 (b) 49 (c) 55 (d) 36
  15. 15.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 12 (b) 31 (c) 40 (d) 21
  16. 16.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 29 (b) 33 (c) 8 (d) 27
  17. 17.What is the average of 61, 82, 58, 69 and 90? (a) 90 (b) 73 (c) 72 (d) 71
  18. 18.What is the average of all the whole numbers from 57 to 85? (a) 28 (b) 72 (c) 14 (d) 71
  19. 19.What is the average of all the whole numbers from 9 to 39? (a) 24 (b) 25 (c) 30 (d) 15
  20. 20.What is the average of 17, 10, 21, 32, 34 and 6? (a) 20 (b) 19 (c) 21 (d) 24
  21. 21.What is the average of 36, 44, 20, 35, 24 and 39? (a) 33 (b) 34 (c) 35 (d) 32
  22. 22.What is the average of 73, 93, 72, 68, 66 and 102? (a) 79 (b) 81 (c) 78 (d) 80
  23. 23.What is the average of 39, 46, 25 and 30? (a) 35 (b) 37 (c) 36 (d) 34
  24. 24.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 30? (a) 36 (b) 8 (c) 30 (d) 32
  25. 25.What is the average of all the whole numbers from 24 to 58? (a) 17 (b) 34 (c) 42 (d) 41
  26. 26.What is the average of 54, 42, 53, 42, 52 and 15? (a) 42 (b) 43 (c) 44 (d) 45
  27. 27.What is the average of 66, 57, 56, 65, 65 and 87? (a) 65 (b) 68 (c) 66 (d) 67
  28. 28.A batter has an average of 57 runs in 6 matches. How many runs are needed in the next match to raise the average to 61? (a) 85 (b) 28 (c) 61 (d) 65
  29. 29.What is the average of all the whole numbers from 14 to 22? (a) 8 (b) 19 (c) 4 (d) 18
  30. 30.What is the average of 26, 47, 24 and 59? (a) 38 (b) 52 (c) 39 (d) 40
  31. 31.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 38 (b) 15 (c) 47 (d) 35
  32. 32.What is the average of 18, 36, 40, 45 and 21? (a) 32 (b) 33 (c) 40 (d) 31
  33. 33.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 32? (a) 24 (b) 36 (c) 32 (d) 52
  34. 34.What is the average of all the whole numbers from 58 to 78? (a) 20 (b) 10 (c) 69 (d) 68
  35. 35.What is the average of all the whole numbers from 6 to 36? (a) 22 (b) 21 (c) 30 (d) 15
  36. 36.What is the average of all the whole numbers from 45 to 71? (a) 59 (b) 13 (c) 58 (d) 26
  37. 37.What is the average of 69, 52, 50 and 81? (a) 63 (b) 62 (c) 64 (d) 84
  38. 38.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 25 (b) 24 (c) 45 (d) 46
  39. 39.What is the average of 43, 44, 47 and 30? (a) 43 (b) 40 (c) 41 (d) 42
  40. 40.What is the average of all the whole numbers from 10 to 38? (a) 28 (b) 24 (c) 14 (d) 25

Answer key

  1. 70
  2. 62
  3. 7
  4. 62
  5. 47
  6. 59
  7. 54
  8. 48
  9. 28
  10. 58
  11. 28
  12. 25
  13. 50
  14. 79
  15. 31
  16. 33
  17. 72
  18. 71
  19. 24
  20. 20
  21. 33
  22. 79
  23. 35
  24. 36
  25. 41
  26. 43
  27. 66
  28. 85
  29. 18
  30. 39
  31. 47
  32. 32
  33. 52
  34. 68
  35. 21
  36. 58
  37. 63
  38. 45
  39. 41
  40. 24

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