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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 451 · 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 14 to 34? (a) 25 (b) 24 (c) 10 (d) 20
  2. 2.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 32? (a) 67 (b) 39 (c) 42 (d) 32
  3. 3.What is the average of 80, 79, 93 and 68? (a) 81 (b) 79 (c) 82 (d) 80
  4. 4.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 22 (b) 41 (c) 31 (d) 12
  5. 5.What is the average of 53, 59, 62 and 22? (a) 51 (b) 48 (c) 49 (d) 50
  6. 6.What is the average of all the whole numbers from 15 to 21? (a) 19 (b) 6 (c) 18 (d) 3
  7. 7.A batter has an average of 37 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 101 (b) 45 (c) 64 (d) 53
  8. 8.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 26? (a) 20 (b) 26 (c) 42 (d) 30
  9. 9.What is the average of 31, 28, 40 and 5? (a) 26 (b) 25 (c) 27 (d) 28
  10. 10.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 17 (b) 35 (c) 31 (d) 21
  11. 11.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 29 (b) 6 (c) 47 (d) 24
  12. 12.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) 54 (b) 10 (c) 56 (d) 62
  13. 13.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 98 (b) 32 (c) 31 (d) 47
  14. 14.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 47 (b) 49 (c) 25 (d) 27
  15. 15.What is the average of all the whole numbers from 58 to 66? (a) 8 (b) 63 (c) 62 (d) 4
  16. 16.What is the average of 63, 56, 56, 62, 46 and 77? (a) 61 (b) 59 (c) 60 (d) 72
  17. 17.What is the average of 66, 59, 49 and 66? (a) 59 (b) 80 (c) 61 (d) 60
  18. 18.What is the average of 18, 23, 32 and 55? (a) 33 (b) 31 (c) 32 (d) 34
  19. 19.What is the average of all the whole numbers from 25 to 49? (a) 24 (b) 12 (c) 38 (d) 37
  20. 20.What is the average of all the whole numbers from 6 to 16? (a) 12 (b) 10 (c) 5 (d) 11
  21. 21.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 36 (b) 43 (c) 35 (d) 88
  22. 22.What is the average of 45, 61, 59 and 51? (a) 72 (b) 55 (c) 53 (d) 54
  23. 23.What is the average of 69, 74, 53, 61, 64 and 45? (a) 62 (b) 63 (c) 61 (d) 60
  24. 24.What is the average of 19, 18, 31, 22 and 55? (a) 30 (b) 31 (c) 29 (d) 28
  25. 25.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 48? (a) 57 (b) 12 (c) 51 (d) 48
  26. 26.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 23 (b) 11 (c) 15 (d) 19
  27. 27.What is the average of 48, 37, 30, 40 and 45? (a) 39 (b) 50 (c) 41 (d) 40
  28. 28.What is the average of 72, 48, 51, 63 and 81? (a) 65 (b) 64 (c) 62 (d) 63
  29. 29.What is the average of 41, 32, 36 and 3? (a) 29 (b) 30 (c) 27 (d) 28
  30. 30.What is the average of 31, 24, 21 and 64? (a) 37 (b) 35 (c) 36 (d) 34
  31. 31.What is the average of all the whole numbers from 40 to 72? (a) 32 (b) 57 (c) 16 (d) 56
  32. 32.A batter has an average of 43 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 53 (b) 45 (c) 48 (d) 88
  33. 33.What is the average of 52, 47, 53 and 80? (a) 60 (b) 57 (c) 58 (d) 59
  34. 34.What is the average of all the whole numbers from 49 to 85? (a) 18 (b) 68 (c) 67 (d) 36
  35. 35.What is the average of all the whole numbers from 52 to 58? (a) 3 (b) 6 (c) 56 (d) 55
  36. 36.What is the average of all the whole numbers from 26 to 52? (a) 39 (b) 26 (c) 13 (d) 40
  37. 37.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 20 (b) 14 (c) 23 (d) 11
  38. 38.What is the average of 33, 35, 17, 18 and 42? (a) 28 (b) 30 (c) 31 (d) 29
  39. 39.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 31? (a) 18 (b) 46 (c) 34 (d) 31
  40. 40.A batter has an average of 45 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 40 (b) 55 (c) 50 (d) 85

Answer key

  1. 24
  2. 67
  3. 80
  4. 31
  5. 49
  6. 18
  7. 101
  8. 42
  9. 26
  10. 35
  11. 29
  12. 62
  13. 31
  14. 47
  15. 62
  16. 60
  17. 60
  18. 32
  19. 37
  20. 11
  21. 35
  22. 54
  23. 61
  24. 29
  25. 57
  26. 23
  27. 40
  28. 63
  29. 28
  30. 35
  31. 56
  32. 88
  33. 58
  34. 67
  35. 55
  36. 39
  37. 23
  38. 29
  39. 46
  40. 85

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