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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 989 · 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 all the whole numbers from 54 to 66? (a) 6 (b) 61 (c) 60 (d) 12
  2. 2.What is the average of all the whole numbers from 25 to 55? (a) 30 (b) 40 (c) 15 (d) 41
  3. 3.What is the average of all the whole numbers from 12 to 50? (a) 31 (b) 38 (c) 19 (d) 32
  4. 4.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 61 (b) 55 (c) 73 (d) 24
  5. 5.What is the average of all the whole numbers from 27 to 43? (a) 36 (b) 16 (c) 35 (d) 8
  6. 6.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 10 (b) 11 (c) 64 (d) 30
  7. 7.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 65 (b) 35 (c) 66 (d) 40
  8. 8.What is the average of 14, 15, 15, 31, 22 and 47? (a) 26 (b) 23 (c) 24 (d) 25
  9. 9.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 59 (b) 21 (c) 31 (d) 49
  10. 10.What is the average of 42, 24, 47 and 35? (a) 37 (b) 36 (c) 38 (d) 39
  11. 11.What is the average of 58, 44, 45 and 37? (a) 45 (b) 47 (c) 46 (d) 48
  12. 12.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 37 (b) 10 (c) 31 (d) 29
  13. 13.A batter has an average of 34 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 64 (b) 39 (c) 44 (d) 30
  14. 14.What is the average of 64, 71, 71 and 38? (a) 60 (b) 61 (c) 63 (d) 62
  15. 15.What is the average of all the whole numbers from 59 to 87? (a) 74 (b) 73 (c) 28 (d) 14
  16. 16.A batter has an average of 43 runs in 9 matches. How many runs are needed in the next match to raise the average to 50? (a) 113 (b) 57 (c) 50 (d) 70
  17. 17.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 13 (b) 17 (c) 35 (d) 12
  18. 18.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 12 (b) 60 (c) 28 (d) 13
  19. 19.What is the average of all the whole numbers from 16 to 46? (a) 15 (b) 32 (c) 30 (d) 31
  20. 20.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 37 (b) 46 (c) 71 (d) 12
  21. 21.What is the average of all the whole numbers from 9 to 25? (a) 8 (b) 16 (c) 18 (d) 17
  22. 22.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 54? (a) 48 (b) 62 (c) 94 (d) 54
  23. 23.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 33 (b) 96 (c) 34 (d) 47
  24. 24.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 24 (b) 18 (c) 38 (d) 32
  25. 25.What is the average of 54, 55, 32 and 39? (a) 46 (b) 45 (c) 44 (d) 60
  26. 26.What is the average of 52, 60, 57, 50 and 26? (a) 48 (b) 50 (c) 51 (d) 49
  27. 27.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) 12 (d) 55
  28. 28.A batter has an average of 34 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 48 (b) 38 (c) 14 (d) 36
  29. 29.What is the average of 47, 36, 44, 28 and 30? (a) 38 (b) 39 (c) 36 (d) 37
  30. 30.What is the average of 57, 40, 64, 50 and 34? (a) 48 (b) 49 (c) 50 (d) 51
  31. 31.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 25 (b) 41 (c) 43 (d) 23
  32. 32.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 14 (b) 71 (c) 34 (d) 13
  33. 33.What is the average of 25, 14, 39 and 34? (a) 27 (b) 30 (c) 29 (d) 28
  34. 34.What is the average of all the whole numbers from 41 to 51? (a) 5 (b) 10 (c) 47 (d) 46
  35. 35.What is the average of all the whole numbers from 19 to 33? (a) 14 (b) 26 (c) 27 (d) 7
  36. 36.What is the average of 26, 30, 27, 23, 23 and 21? (a) 24 (b) 25 (c) 26 (d) 30
  37. 37.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 35 (b) 37 (c) 44 (d) 65
  38. 38.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 30 (b) 53 (c) 33 (d) 28
  39. 39.What is the average of 45, 34, 32, 53, 29 and 53? (a) 40 (b) 42 (c) 43 (d) 41
  40. 40.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 49? (a) 49 (b) 24 (c) 67 (d) 55

Answer key

  1. 60
  2. 40
  3. 31
  4. 73
  5. 35
  6. 10
  7. 65
  8. 24
  9. 49
  10. 37
  11. 46
  12. 37
  13. 64
  14. 61
  15. 73
  16. 113
  17. 12
  18. 12
  19. 31
  20. 46
  21. 17
  22. 94
  23. 33
  24. 38
  25. 45
  26. 49
  27. 55
  28. 48
  29. 37
  30. 49
  31. 43
  32. 13
  33. 28
  34. 46
  35. 26
  36. 25
  37. 65
  38. 53
  39. 41
  40. 67

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