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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 849 · 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 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 24? (a) 20 (b) 40 (c) 24 (d) 28
  2. 2.What is the average of 51, 66, 63 and 36? (a) 55 (b) 53 (c) 72 (d) 54
  3. 3.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 73 (c) 40 (d) 97
  4. 4.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 111 (c) 64 (d) 63
  5. 5.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 20 (c) 56 (d) 72
  6. 6.What is the average of all the whole numbers from 14 to 32? (a) 23 (b) 9 (c) 24 (d) 18
  7. 7.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 50 (c) 31 (d) 71
  8. 8.What is the average of all the whole numbers from 21 to 43? (a) 11 (b) 22 (c) 32 (d) 33
  9. 9.What is the average of all the whole numbers from 7 to 39? (a) 23 (b) 16 (c) 32 (d) 24
  10. 10.What is the average of all the whole numbers from 10 to 16? (a) 3 (b) 14 (c) 13 (d) 6
  11. 11.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 33 (b) 69 (c) 16 (d) 15
  12. 12.What is the average of 70, 72, 79 and 75? (a) 74 (b) 76 (c) 73 (d) 75
  13. 13.What is the average of all the whole numbers from 31 to 65? (a) 17 (b) 34 (c) 49 (d) 48
  14. 14.What is the average of 64, 72, 56, 66, 83 and 79? (a) 70 (b) 69 (c) 71 (d) 84
  15. 15.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 7 (b) 50 (c) 87 (d) 44
  16. 16.What is the average of 64, 65, 70, 91, 67 and 117? (a) 78 (b) 79 (c) 80 (d) 81
  17. 17.What is the average of 30, 23, 45 and 34? (a) 33 (b) 44 (c) 32 (d) 34
  18. 18.What is the average of 71, 71, 73 and 37? (a) 84 (b) 63 (c) 64 (d) 62
  19. 19.What is the average of all the whole numbers from 35 to 51? (a) 8 (b) 16 (c) 44 (d) 43
  20. 20.What is the average of 58, 62, 54, 55, 55 and 100? (a) 63 (b) 66 (c) 65 (d) 64
  21. 21.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 48 (b) 34 (c) 40 (d) 76
  22. 22.What is the average of 51, 73, 67, 66, 57 and 82? (a) 68 (b) 66 (c) 65 (d) 67
  23. 23.What is the average of 77, 53, 55 and 83? (a) 68 (b) 69 (c) 67 (d) 66
  24. 24.A batter has an average of 35 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 39 (b) 12 (c) 37 (d) 47
  25. 25.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 44 (b) 95 (c) 47 (d) 43
  26. 26.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 71 (b) 32 (c) 55 (d) 47
  27. 27.A batter has an average of 33 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 48 (b) 36 (c) 39 (d) 15
  28. 28.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 15 (b) 45 (c) 36 (d) 24
  29. 29.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 36 (c) 54 (d) 24
  30. 30.What is the average of all the whole numbers from 53 to 67? (a) 14 (b) 60 (c) 61 (d) 7
  31. 31.What is the average of 7, 35, 29, 12, 20 and 29? (a) 23 (b) 21 (c) 22 (d) 24
  32. 32.What is the average of all the whole numbers from 41 to 59? (a) 51 (b) 18 (c) 50 (d) 9
  33. 33.A batter has an average of 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 45 (c) 77 (d) 42
  34. 34.What is the average of all the whole numbers from 21 to 61? (a) 42 (b) 41 (c) 40 (d) 20
  35. 35.What is the average of all the whole numbers from 51 to 59? (a) 4 (b) 8 (c) 55 (d) 56
  36. 36.A batter has an average of 59 runs in 3 matches. How many runs are needed in the next match to raise the average to 66? (a) 73 (b) 87 (c) 66 (d) 28
  37. 37.A batter has an average of 37 runs in 8 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 51 (c) 63 (d) 100
  38. 38.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 7 (b) 47 (c) 6 (d) 21
  39. 39.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 31? (a) 34 (b) 12 (c) 31 (d) 40
  40. 40.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 46 (b) 95 (c) 31 (d) 32

Answer key

  1. 40
  2. 54
  3. 97
  4. 111
  5. 72
  6. 23
  7. 71
  8. 32
  9. 23
  10. 13
  11. 15
  12. 74
  13. 48
  14. 70
  15. 50
  16. 79
  17. 33
  18. 63
  19. 43
  20. 64
  21. 76
  22. 66
  23. 67
  24. 47
  25. 43
  26. 71
  27. 48
  28. 36
  29. 54
  30. 60
  31. 22
  32. 50
  33. 77
  34. 41
  35. 55
  36. 87
  37. 100
  38. 6
  39. 40
  40. 31

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