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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 970 · 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 83, 68, 59, 58, 87 and 77? (a) 74 (b) 72 (c) 71 (d) 73
  2. 2.What is the average of 38, 48, 35, 37, 63 and 73? (a) 48 (b) 51 (c) 50 (d) 49
  3. 3.What is the average of all the whole numbers from 13 to 21? (a) 8 (b) 4 (c) 18 (d) 17
  4. 4.What is the average of 68, 64, 70 and 42? (a) 63 (b) 61 (c) 60 (d) 62
  5. 5.What is the average of 11, 29, 15, 8, 22 and 47? (a) 24 (b) 22 (c) 23 (d) 21
  6. 6.What is the average of all the whole numbers from 18 to 44? (a) 31 (b) 32 (c) 13 (d) 26
  7. 7.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 10 (c) 42 (d) 48
  8. 8.What is the average of 64, 48, 54, 51 and 73? (a) 59 (b) 58 (c) 57 (d) 60
  9. 9.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 30 (b) 5 (c) 26 (d) 51
  10. 10.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 58 (b) 56 (c) 10 (d) 64
  11. 11.What is the average of 48, 37, 49, 29 and 52? (a) 44 (b) 43 (c) 42 (d) 45
  12. 12.What is the average of all the whole numbers from 41 to 53? (a) 48 (b) 47 (c) 6 (d) 12
  13. 13.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 49 (c) 55 (d) 12
  14. 14.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 32 (b) 17 (c) 16 (d) 68
  15. 15.What is the average of 21, 22, 35, 8 and 29? (a) 25 (b) 23 (c) 22 (d) 24
  16. 16.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 78 (b) 38 (c) 25 (d) 24
  17. 17.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 46 (b) 5 (c) 50 (d) 91
  18. 18.What is the average of 16, 29, 35 and 16? (a) 32 (b) 25 (c) 23 (d) 24
  19. 19.What is the average of all the whole numbers from 7 to 17? (a) 13 (b) 10 (c) 5 (d) 12
  20. 20.What is the average of 89, 94, 67, 67 and 83? (a) 100 (b) 81 (c) 80 (d) 79
  21. 21.What is the average of all the whole numbers from 13 to 41? (a) 28 (b) 27 (c) 14 (d) 26
  22. 22.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 50? (a) 35 (b) 50 (c) 57 (d) 78
  23. 23.What is the average of 49, 45, 62 and 76? (a) 58 (b) 59 (c) 60 (d) 57
  24. 24.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) 50 (b) 16 (c) 48 (d) 62
  25. 25.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 54 (c) 35 (d) 75
  26. 26.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 28? (a) 16 (b) 42 (c) 28 (d) 30
  27. 27.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) 37 (b) 43 (c) 60 (d) 91
  28. 28.What is the average of all the whole numbers from 10 to 22? (a) 12 (b) 6 (c) 16 (d) 17
  29. 29.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 45 (b) 40 (c) 41 (d) 77
  30. 30.What is the average of all the whole numbers from 60 to 98? (a) 80 (b) 19 (c) 38 (d) 79
  31. 31.What is the average of 13, 33, 22, 15 and 37? (a) 30 (b) 23 (c) 24 (d) 25
  32. 32.What is the average of all the whole numbers from 8 to 38? (a) 23 (b) 15 (c) 30 (d) 24
  33. 33.What is the average of 24, 20, 34, 12, 10 and 38? (a) 22 (b) 24 (c) 23 (d) 25
  34. 34.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 45? (a) 75 (b) 45 (c) 35 (d) 50
  35. 35.What is the average of 51, 66, 64, 45, 57 and 41? (a) 53 (b) 55 (c) 54 (d) 56
  36. 36.What is the average of all the whole numbers from 29 to 69? (a) 50 (b) 20 (c) 49 (d) 40
  37. 37.What is the average of 46, 65, 59 and 54? (a) 55 (b) 57 (c) 58 (d) 56
  38. 38.What is the average of all the whole numbers from 7 to 35? (a) 28 (b) 14 (c) 22 (d) 21
  39. 39.What is the average of 32, 24, 26, 50 and 43? (a) 36 (b) 35 (c) 37 (d) 34
  40. 40.What is the average of all the whole numbers from 59 to 91? (a) 75 (b) 32 (c) 16 (d) 76

Answer key

  1. 72
  2. 49
  3. 17
  4. 61
  5. 22
  6. 31
  7. 48
  8. 58
  9. 30
  10. 64
  11. 43
  12. 47
  13. 55
  14. 16
  15. 23
  16. 24
  17. 50
  18. 24
  19. 12
  20. 80
  21. 27
  22. 78
  23. 58
  24. 62
  25. 75
  26. 42
  27. 91
  28. 16
  29. 77
  30. 79
  31. 24
  32. 23
  33. 23
  34. 75
  35. 54
  36. 49
  37. 56
  38. 21
  39. 35
  40. 75

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