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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 374 · 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 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 31 (c) 18 (d) 43
  2. 2.What is the average of all the whole numbers from 18 to 38? (a) 20 (b) 29 (c) 10 (d) 28
  3. 3.What is the average of 72, 82, 59 and 79? (a) 74 (b) 75 (c) 72 (d) 73
  4. 4.What is the average of 61, 38, 52, 56 and 53? (a) 65 (b) 51 (c) 53 (d) 52
  5. 5.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 35? (a) 41 (b) 35 (c) 48 (d) 77
  6. 6.What is the average of 35, 44, 26, 24 and 41? (a) 35 (b) 36 (c) 34 (d) 33
  7. 7.What is the average of 76, 87, 70, 72 and 80? (a) 79 (b) 77 (c) 76 (d) 78
  8. 8.What is the average of 63, 71, 71 and 23? (a) 58 (b) 57 (c) 56 (d) 76
  9. 9.What is the average of 49, 36, 21, 47 and 27? (a) 36 (b) 45 (c) 35 (d) 37
  10. 10.What is the average of 58, 57, 58, 85 and 97? (a) 70 (b) 73 (c) 71 (d) 72
  11. 11.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 27 (b) 41 (c) 30 (d) 16
  12. 12.A batter has an average of 53 runs in 6 matches. How many runs are needed in the next match to raise the average to 58? (a) 35 (b) 58 (c) 63 (d) 88
  13. 13.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 74 (b) 38 (c) 48 (d) 32
  14. 14.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 24 (b) 4 (c) 11 (d) 3
  15. 15.What is the average of all the whole numbers from 49 to 67? (a) 59 (b) 9 (c) 58 (d) 18
  16. 16.What is the average of all the whole numbers from 39 to 73? (a) 34 (b) 57 (c) 17 (d) 56
  17. 17.What is the average of all the whole numbers from 5 to 13? (a) 9 (b) 4 (c) 10 (d) 8
  18. 18.What is the average of all the whole numbers from 37 to 53? (a) 8 (b) 16 (c) 46 (d) 45
  19. 19.What is the average of all the whole numbers from 60 to 98? (a) 19 (b) 80 (c) 79 (d) 38
  20. 20.What is the average of all the whole numbers from 45 to 57? (a) 12 (b) 6 (c) 51 (d) 52
  21. 21.What is the average of 43, 45, 52 and 48? (a) 48 (b) 46 (c) 49 (d) 47
  22. 22.What is the average of all the whole numbers from 51 to 79? (a) 28 (b) 65 (c) 14 (d) 66
  23. 23.What is the average of 42, 54, 41, 56 and 67? (a) 52 (b) 53 (c) 65 (d) 51
  24. 24.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 46 (b) 44 (c) 93 (d) 43
  25. 25.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 10 (b) 9 (c) 16 (d) 33
  26. 26.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 13 (b) 24 (c) 12 (d) 50
  27. 27.What is the average of 78, 66, 60, 88 and 73? (a) 75 (b) 72 (c) 73 (d) 74
  28. 28.A batter has an average of 39 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 36 (b) 45 (c) 75 (d) 51
  29. 29.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 49 (b) 46 (c) 58 (d) 15
  30. 30.A batter has an average of 51 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 21 (b) 57 (c) 72 (d) 54
  31. 31.What is the average of 32, 56, 48, 54, 52 and 40? (a) 48 (b) 49 (c) 46 (d) 47
  32. 32.What is the average of 63, 71, 62 and 68? (a) 66 (b) 67 (c) 65 (d) 88
  33. 33.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 68? (a) 32 (b) 92 (c) 76 (d) 68
  34. 34.What is the average of 42, 44, 53, 45 and 76? (a) 53 (b) 65 (c) 51 (d) 52
  35. 35.What is the average of 88, 90, 72, 62, 77 and 73? (a) 77 (b) 78 (c) 79 (d) 76
  36. 36.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 68 (b) 8 (c) 41 (d) 35
  37. 37.What is the average of 63, 79, 67 and 47? (a) 63 (b) 66 (c) 65 (d) 64
  38. 38.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 24 (b) 11 (c) 32 (d) 19
  39. 39.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 40 (c) 65 (d) 64
  40. 40.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 14 (b) 94 (c) 48 (d) 60

Answer key

  1. 43
  2. 28
  3. 73
  4. 52
  5. 77
  6. 34
  7. 77
  8. 57
  9. 36
  10. 71
  11. 41
  12. 88
  13. 74
  14. 3
  15. 58
  16. 56
  17. 9
  18. 45
  19. 79
  20. 51
  21. 47
  22. 65
  23. 52
  24. 43
  25. 9
  26. 12
  27. 73
  28. 75
  29. 58
  30. 72
  31. 47
  32. 66
  33. 92
  34. 52
  35. 77
  36. 41
  37. 64
  38. 32
  39. 64
  40. 60

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