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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 704 · 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 12, 18, 36 and 18? (a) 20 (b) 21 (c) 22 (d) 28
  2. 2.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 56? (a) 24 (b) 56 (c) 77 (d) 59
  3. 3.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 50 (b) 20 (c) 32 (d) 34
  4. 4.A batter has an average of 55 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 49 (c) 104 (d) 69
  5. 5.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 71 (b) 16 (c) 34 (d) 17
  6. 6.What is the average of 44, 36, 21, 27 and 52? (a) 37 (b) 36 (c) 35 (d) 45
  7. 7.What is the average of 49, 50, 51 and 54? (a) 68 (b) 52 (c) 51 (d) 50
  8. 8.What is the average of 39, 44, 55, 44 and 83? (a) 53 (b) 55 (c) 54 (d) 52
  9. 9.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 60 (c) 72 (d) 16
  10. 10.What is the average of 50, 56, 32, 34, 45 and 59? (a) 46 (b) 47 (c) 48 (d) 45
  11. 11.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 48? (a) 24 (b) 69 (c) 48 (d) 51
  12. 12.What is the average of all the whole numbers from 27 to 55? (a) 42 (b) 28 (c) 14 (d) 41
  13. 13.What is the average of 19, 20, 17 and 64? (a) 29 (b) 30 (c) 40 (d) 31
  14. 14.What is the average of 21, 31, 22, 11, 16 and 49? (a) 30 (b) 26 (c) 24 (d) 25
  15. 15.What is the average of 32, 16, 15 and 49? (a) 30 (b) 27 (c) 29 (d) 28
  16. 16.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 24 (b) 44 (c) 40 (d) 20
  17. 17.What is the average of 36, 44, 35 and 5? (a) 31 (b) 29 (c) 30 (d) 40
  18. 18.What is the average of 34, 30, 39, 37, 42 and 52? (a) 38 (b) 40 (c) 39 (d) 41
  19. 19.What is the average of 53, 44, 41 and 82? (a) 56 (b) 55 (c) 57 (d) 54
  20. 20.What is the average of all the whole numbers from 17 to 53? (a) 34 (b) 18 (c) 36 (d) 35
  21. 21.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 29 (b) 5 (c) 62 (d) 6
  22. 22.What is the average of 60, 61, 66, 55 and 13? (a) 52 (b) 50 (c) 53 (d) 51
  23. 23.A batter has an average of 45 runs in 6 matches. How many runs are needed in the next match to raise the average to 52? (a) 94 (b) 52 (c) 49 (d) 59
  24. 24.What is the average of 63, 65, 82, 68 and 112? (a) 79 (b) 80 (c) 77 (d) 78
  25. 25.What is the average of 79, 58, 79 and 40? (a) 66 (b) 64 (c) 63 (d) 65
  26. 26.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 43? (a) 43 (b) 40 (c) 51 (d) 75
  27. 27.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 36 (b) 94 (c) 66 (d) 62
  28. 28.What is the average of all the whole numbers from 27 to 49? (a) 11 (b) 38 (c) 39 (d) 22
  29. 29.What is the average of all the whole numbers from 49 to 65? (a) 16 (b) 58 (c) 57 (d) 8
  30. 30.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 31 (b) 20 (c) 5 (d) 16
  31. 31.A batter has an average of 33 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 81 (b) 48 (c) 45 (d) 39
  32. 32.What is the average of all the whole numbers from 13 to 25? (a) 20 (b) 12 (c) 19 (d) 6
  33. 33.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 59 (b) 54 (c) 20 (d) 69
  34. 34.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 54 (b) 20 (c) 21 (d) 26
  35. 35.What is the average of all the whole numbers from 41 to 53? (a) 47 (b) 48 (c) 12 (d) 6
  36. 36.What is the average of 77, 59, 60 and 96? (a) 74 (b) 72 (c) 73 (d) 75
  37. 37.What is the average of all the whole numbers from 53 to 71? (a) 62 (b) 9 (c) 63 (d) 18
  38. 38.What is the average of 37, 29, 32, 25, 30 and 9? (a) 28 (b) 26 (c) 27 (d) 29
  39. 39.What is the average of 53, 39, 51 and 25? (a) 43 (b) 42 (c) 41 (d) 56
  40. 40.A batter has an average of 32 runs in 9 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 48 (c) 80 (d) 112

Answer key

  1. 21
  2. 77
  3. 50
  4. 104
  5. 16
  6. 36
  7. 51
  8. 53
  9. 72
  10. 46
  11. 69
  12. 41
  13. 30
  14. 25
  15. 28
  16. 40
  17. 30
  18. 39
  19. 55
  20. 35
  21. 5
  22. 51
  23. 94
  24. 78
  25. 64
  26. 75
  27. 94
  28. 38
  29. 57
  30. 20
  31. 81
  32. 19
  33. 69
  34. 20
  35. 47
  36. 73
  37. 62
  38. 27
  39. 42
  40. 112

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