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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 507 · 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 73, 89, 75, 88, 79 and 76? (a) 79 (b) 96 (c) 80 (d) 81
  2. 2.What is the average of 83, 67, 80, 81 and 44? (a) 70 (b) 72 (c) 73 (d) 71
  3. 3.What is the average of all the whole numbers from 43 to 65? (a) 22 (b) 55 (c) 11 (d) 54
  4. 4.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 12 (b) 63 (c) 69 (d) 60
  5. 5.What is the average of all the whole numbers from 17 to 39? (a) 11 (b) 22 (c) 28 (d) 29
  6. 6.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 24 (b) 30 (c) 25 (d) 61
  7. 7.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 94 (b) 54 (c) 46 (d) 52
  8. 8.What is the average of 16, 16, 29, 31 and 38? (a) 27 (b) 25 (c) 28 (d) 26
  9. 9.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 45 (c) 35 (d) 70
  10. 10.What is the average of 57, 55, 72, 56 and 110? (a) 72 (b) 69 (c) 71 (d) 70
  11. 11.What is the average of 57, 79, 52, 64, 59 and 85? (a) 67 (b) 66 (c) 65 (d) 68
  12. 12.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 36 (b) 64 (c) 32 (d) 65
  13. 13.What is the average of 63, 48, 52, 49 and 103? (a) 63 (b) 64 (c) 65 (d) 62
  14. 14.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 43? (a) 24 (b) 63 (c) 47 (d) 43
  15. 15.What is the average of 48, 40, 40, 56 and 71? (a) 53 (b) 50 (c) 52 (d) 51
  16. 16.What is the average of all the whole numbers from 6 to 26? (a) 20 (b) 17 (c) 16 (d) 10
  17. 17.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) 16 (b) 63 (c) 59 (d) 71
  18. 18.What is the average of 86, 91, 72, 74, 67 and 84? (a) 81 (b) 80 (c) 79 (d) 78
  19. 19.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 40 (b) 10 (c) 78 (d) 48
  20. 20.What is the average of 22, 35, 29, 27, 29 and 80? (a) 37 (b) 36 (c) 38 (d) 39
  21. 21.What is the average of all the whole numbers from 33 to 41? (a) 4 (b) 38 (c) 8 (d) 37
  22. 22.What is the average of 81, 88, 91, 67, 73 and 56? (a) 78 (b) 77 (c) 75 (d) 76
  23. 23.A batter has an average of 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 50? (a) 40 (b) 86 (c) 54 (d) 50
  24. 24.What is the average of all the whole numbers from 6 to 16? (a) 12 (b) 11 (c) 5 (d) 10
  25. 25.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 5 (b) 57 (c) 33 (d) 29
  26. 26.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 18 (b) 27 (c) 33 (d) 12
  27. 27.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 26 (b) 57 (c) 12 (d) 11
  28. 28.A batter has an average of 46 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 62 (b) 48 (c) 16 (d) 50
  29. 29.What is the average of all the whole numbers from 39 to 45? (a) 42 (b) 6 (c) 3 (d) 43
  30. 30.What is the average of 24, 44, 45, 47 and 35? (a) 39 (b) 41 (c) 40 (d) 38
  31. 31.What is the average of 49, 43, 44 and 80? (a) 55 (b) 53 (c) 54 (d) 72
  32. 32.What is the average of 65, 84, 79 and 72? (a) 74 (b) 76 (c) 75 (d) 100
  33. 33.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 58 (c) 8 (d) 54
  34. 34.A batter has an average of 20 runs in 6 matches. How many runs are needed in the next match to raise the average to 22? (a) 14 (b) 34 (c) 24 (d) 22
  35. 35.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 105 (c) 65 (d) 50
  36. 36.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 9 (b) 25 (c) 12 (d) 8
  37. 37.What is the average of 31, 21, 24 and 12? (a) 21 (b) 24 (c) 23 (d) 22
  38. 38.What is the average of all the whole numbers from 16 to 52? (a) 18 (b) 36 (c) 34 (d) 35
  39. 39.What is the average of all the whole numbers from 15 to 25? (a) 21 (b) 5 (c) 10 (d) 20
  40. 40.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 15 (b) 14 (c) 56 (d) 26

Answer key

  1. 80
  2. 71
  3. 54
  4. 69
  5. 28
  6. 24
  7. 94
  8. 26
  9. 70
  10. 70
  11. 66
  12. 64
  13. 63
  14. 63
  15. 51
  16. 16
  17. 71
  18. 79
  19. 48
  20. 37
  21. 37
  22. 76
  23. 86
  24. 11
  25. 33
  26. 27
  27. 11
  28. 62
  29. 42
  30. 39
  31. 54
  32. 75
  33. 58
  34. 34
  35. 105
  36. 8
  37. 22
  38. 34
  39. 20
  40. 14

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