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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 681 · 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 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 51? (a) 24 (b) 51 (c) 54 (d) 72
  2. 2.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 30 (b) 48 (c) 24 (d) 27
  3. 3.What is the average of 76, 65, 74 and 81? (a) 73 (b) 76 (c) 75 (d) 74
  4. 4.What is the average of 70, 54, 78 and 58? (a) 64 (b) 67 (c) 66 (d) 65
  5. 5.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 63 (b) 16 (c) 71 (d) 59
  6. 6.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 34 (c) 15 (d) 43
  7. 7.A batter has an average of 47 runs in 6 matches. How many runs are needed in the next match to raise the average to 50? (a) 53 (b) 68 (c) 50 (d) 21
  8. 8.What is the average of 12, 22, 20 and 46? (a) 25 (b) 27 (c) 26 (d) 24
  9. 9.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) 75 (b) 43 (c) 40 (d) 51
  10. 10.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 24 (b) 33 (c) 37 (d) 53
  11. 11.What is the average of all the whole numbers from 38 to 54? (a) 16 (b) 8 (c) 47 (d) 46
  12. 12.What is the average of 60, 63, 78 and 75? (a) 68 (b) 70 (c) 69 (d) 92
  13. 13.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 40? (a) 40 (b) 48 (c) 72 (d) 73
  14. 14.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 40 (b) 84 (c) 13 (d) 12
  15. 15.What is the average of 30, 27, 23, 47, 44 and 33? (a) 34 (b) 35 (c) 36 (d) 33
  16. 16.What is the average of 42, 41, 61 and 72? (a) 55 (b) 53 (c) 54 (d) 72
  17. 17.What is the average of all the whole numbers from 50 to 56? (a) 3 (b) 6 (c) 53 (d) 54
  18. 18.What is the average of all the whole numbers from 18 to 56? (a) 19 (b) 37 (c) 36 (d) 38
  19. 19.A batter has an average of 44 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 58 (b) 48 (c) 14 (d) 46
  20. 20.What is the average of 47, 56, 65 and 44? (a) 55 (b) 52 (c) 54 (d) 53
  21. 21.What is the average of all the whole numbers from 6 to 26? (a) 17 (b) 16 (c) 20 (d) 10
  22. 22.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 50 (b) 12 (c) 98 (d) 60
  23. 23.What is the average of 42, 40, 42, 52 and 74? (a) 49 (b) 52 (c) 50 (d) 51
  24. 24.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 37? (a) 60 (b) 43 (c) 91 (d) 37
  25. 25.What is the average of all the whole numbers from 26 to 36? (a) 32 (b) 5 (c) 10 (d) 31
  26. 26.What is the average of 44, 21, 35, 44 and 6? (a) 29 (b) 30 (c) 32 (d) 31
  27. 27.What is the average of 71, 62, 78, 66, 64 and 103? (a) 75 (b) 76 (c) 74 (d) 73
  28. 28.What is the average of 26, 27, 40 and 51? (a) 36 (b) 48 (c) 37 (d) 35
  29. 29.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 42 (b) 37 (c) 67 (d) 31
  30. 30.What is the average of all the whole numbers from 31 to 45? (a) 7 (b) 14 (c) 39 (d) 38
  31. 31.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 56 (b) 53 (c) 15 (d) 65
  32. 32.What is the average of all the whole numbers from 26 to 64? (a) 19 (b) 46 (c) 38 (d) 45
  33. 33.What is the average of 29, 34, 39 and 54? (a) 40 (b) 38 (c) 52 (d) 39
  34. 34.What is the average of all the whole numbers from 60 to 76? (a) 68 (b) 16 (c) 8 (d) 69
  35. 35.What is the average of all the whole numbers from 21 to 55? (a) 17 (b) 39 (c) 34 (d) 38
  36. 36.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 46? (a) 102 (b) 64 (c) 54 (d) 46
  37. 37.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 56 (b) 50 (c) 48 (d) 92
  38. 38.What is the average of all the whole numbers from 53 to 61? (a) 4 (b) 8 (c) 57 (d) 58
  39. 39.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 6 (b) 39 (c) 18 (d) 7
  40. 40.What is the average of 37, 40, 24, 31, 28 and 8? (a) 27 (b) 30 (c) 29 (d) 28

Answer key

  1. 72
  2. 48
  3. 74
  4. 65
  5. 71
  6. 43
  7. 68
  8. 25
  9. 75
  10. 53
  11. 46
  12. 69
  13. 72
  14. 12
  15. 34
  16. 54
  17. 53
  18. 37
  19. 58
  20. 53
  21. 16
  22. 60
  23. 50
  24. 91
  25. 31
  26. 30
  27. 74
  28. 36
  29. 67
  30. 38
  31. 65
  32. 45
  33. 39
  34. 68
  35. 38
  36. 102
  37. 92
  38. 57
  39. 6
  40. 28

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