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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 683 · 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 34 runs in 8 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 45 (c) 44 (d) 79
  2. 2.What is the average of all the whole numbers from 16 to 30? (a) 23 (b) 24 (c) 14 (d) 7
  3. 3.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 66 (b) 60 (c) 114 (d) 115
  4. 4.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 30 (b) 29 (c) 47 (d) 97
  5. 5.What is the average of all the whole numbers from 28 to 52? (a) 24 (b) 41 (c) 40 (d) 12
  6. 6.What is the average of all the whole numbers from 46 to 76? (a) 61 (b) 30 (c) 62 (d) 15
  7. 7.What is the average of all the whole numbers from 50 to 78? (a) 28 (b) 14 (c) 65 (d) 64
  8. 8.What is the average of 57, 60, 46, 47, 54 and 66? (a) 54 (b) 66 (c) 56 (d) 55
  9. 9.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 93 (b) 15 (c) 60 (d) 48
  10. 10.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 22? (a) 24 (b) 22 (c) 16 (d) 36
  11. 11.What is the average of 51, 51, 63, 50 and 35? (a) 51 (b) 52 (c) 49 (d) 50
  12. 12.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 16 (b) 15 (c) 44 (d) 21
  13. 13.What is the average of all the whole numbers from 32 to 64? (a) 16 (b) 32 (c) 48 (d) 49
  14. 14.What is the average of 26, 38, 32, 24 and 70? (a) 40 (b) 38 (c) 39 (d) 37
  15. 15.A batter has an average of 57 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 97 (b) 40 (c) 62 (d) 67
  16. 16.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 22 (b) 13 (c) 41 (d) 32
  17. 17.What is the average of all the whole numbers from 44 to 80? (a) 36 (b) 62 (c) 63 (d) 18
  18. 18.What is the average of all the whole numbers from 19 to 33? (a) 14 (b) 26 (c) 27 (d) 7
  19. 19.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 44 (b) 10 (c) 9 (d) 93
  20. 20.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 26 (c) 38 (d) 18
  21. 21.What is the average of 75, 69, 80, 79, 80 and 61? (a) 74 (b) 76 (c) 75 (d) 73
  22. 22.What is the average of all the whole numbers from 37 to 63? (a) 13 (b) 50 (c) 51 (d) 26
  23. 23.What is the average of 31, 20, 46, 32, 33 and 24? (a) 32 (b) 30 (c) 31 (d) 33
  24. 24.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 63 (b) 48 (c) 91 (d) 20
  25. 25.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 42 (c) 32 (d) 58
  26. 26.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 65? (a) 70 (b) 50 (c) 65 (d) 110
  27. 27.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 95 (b) 47 (c) 42 (d) 43
  28. 28.A batter has an average of 49 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 112 (b) 113 (c) 56 (d) 63
  29. 29.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 45? (a) 47 (b) 45 (c) 12 (d) 55
  30. 30.What is the average of 79, 69, 62 and 98? (a) 76 (b) 79 (c) 78 (d) 77
  31. 31.What is the average of 54, 35, 62, 61 and 23? (a) 49 (b) 48 (c) 46 (d) 47
  32. 32.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 6 (b) 11 (c) 23 (d) 5
  33. 33.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 50 (b) 12 (c) 44 (d) 41
  34. 34.What is the average of 21, 43, 24, 22 and 40? (a) 31 (b) 32 (c) 30 (d) 29
  35. 35.What is the average of 65, 56, 50 and 81? (a) 62 (b) 63 (c) 84 (d) 64
  36. 36.What is the average of all the whole numbers from 59 to 69? (a) 64 (b) 10 (c) 65 (d) 5
  37. 37.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 12 (b) 25 (c) 19 (d) 32
  38. 38.What is the average of 11, 21, 11, 38, 11 and 46? (a) 25 (b) 22 (c) 24 (d) 23
  39. 39.What is the average of 11, 12, 29 and 40? (a) 23 (b) 25 (c) 22 (d) 24
  40. 40.What is the average of 27, 21, 49 and 47? (a) 37 (b) 48 (c) 35 (d) 36

Answer key

  1. 79
  2. 23
  3. 114
  4. 29
  5. 40
  6. 61
  7. 64
  8. 55
  9. 60
  10. 36
  11. 50
  12. 15
  13. 48
  14. 38
  15. 97
  16. 41
  17. 62
  18. 26
  19. 9
  20. 38
  21. 74
  22. 50
  23. 31
  24. 63
  25. 58
  26. 110
  27. 42
  28. 112
  29. 55
  30. 77
  31. 47
  32. 5
  33. 50
  34. 30
  35. 63
  36. 64
  37. 32
  38. 23
  39. 23
  40. 36

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