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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 848 · 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 43 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 83 (b) 40 (c) 47 (d) 51
  2. 2.What is the average of 12, 35, 28 and 13? (a) 23 (b) 21 (c) 22 (d) 24
  3. 3.What is the average of 9, 14, 16 and 57? (a) 25 (b) 32 (c) 23 (d) 24
  4. 4.What is the average of 38, 30, 23, 16 and 23? (a) 28 (b) 26 (c) 27 (d) 25
  5. 5.What is the average of all the whole numbers from 11 to 31? (a) 22 (b) 10 (c) 20 (d) 21
  6. 6.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 32 (b) 53 (c) 61 (d) 77
  7. 7.What is the average of all the whole numbers from 9 to 43? (a) 34 (b) 27 (c) 26 (d) 17
  8. 8.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 11 (b) 10 (c) 29 (d) 14
  9. 9.What is the average of 58, 62, 86 and 86? (a) 74 (b) 72 (c) 73 (d) 75
  10. 10.What is the average of 36, 36, 40, 61 and 77? (a) 50 (b) 49 (c) 52 (d) 51
  11. 11.What is the average of all the whole numbers from 55 to 83? (a) 14 (b) 70 (c) 28 (d) 69
  12. 12.What is the average of all the whole numbers from 46 to 80? (a) 64 (b) 34 (c) 17 (d) 63
  13. 13.What is the average of all the whole numbers from 9 to 19? (a) 10 (b) 14 (c) 5 (d) 15
  14. 14.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 38 (b) 33 (c) 21 (d) 16
  15. 15.What is the average of 23, 22, 32, 32 and 66? (a) 35 (b) 37 (c) 36 (d) 34
  16. 16.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 64? (a) 120 (b) 121 (c) 72 (d) 64
  17. 17.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 14 (b) 45 (c) 33 (d) 64
  18. 18.What is the average of 59, 44, 42, 46, 58 and 39? (a) 47 (b) 48 (c) 49 (d) 50
  19. 19.What is the average of all the whole numbers from 20 to 26? (a) 24 (b) 23 (c) 6 (d) 3
  20. 20.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 7 (b) 18 (c) 23 (d) 12
  21. 21.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 44? (a) 72 (b) 108 (c) 44 (d) 52
  22. 22.What is the average of all the whole numbers from 53 to 67? (a) 7 (b) 61 (c) 14 (d) 60
  23. 23.What is the average of 34, 44, 25 and 13? (a) 28 (b) 30 (c) 31 (d) 29
  24. 24.What is the average of 26, 13, 38, 14, 18 and 59? (a) 28 (b) 30 (c) 29 (d) 27
  25. 25.What is the average of all the whole numbers from 29 to 59? (a) 30 (b) 15 (c) 45 (d) 44
  26. 26.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 82 (b) 43 (c) 55 (d) 16
  27. 27.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 24? (a) 36 (b) 24 (c) 28 (d) 16
  28. 28.What is the average of all the whole numbers from 14 to 54? (a) 40 (b) 35 (c) 20 (d) 34
  29. 29.What is the average of all the whole numbers from 53 to 61? (a) 58 (b) 4 (c) 8 (d) 57
  30. 30.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 42 (b) 16 (c) 34 (d) 30
  31. 31.What is the average of all the whole numbers from 60 to 92? (a) 16 (b) 77 (c) 32 (d) 76
  32. 32.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 4 (b) 26 (c) 45 (d) 23
  33. 33.What is the average of 26, 25, 24, 30 and 60? (a) 32 (b) 35 (c) 33 (d) 34
  34. 34.A batter has an average of 41 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 65 (b) 24 (c) 47 (d) 53
  35. 35.What is the average of all the whole numbers from 18 to 52? (a) 34 (b) 35 (c) 36 (d) 17
  36. 36.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 12 (c) 70 (d) 64
  37. 37.What is the average of all the whole numbers from 16 to 44? (a) 14 (b) 28 (c) 30 (d) 31
  38. 38.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 16 (b) 60 (c) 44 (d) 32
  39. 39.What is the average of all the whole numbers from 29 to 37? (a) 34 (b) 8 (c) 4 (d) 33
  40. 40.What is the average of all the whole numbers from 23 to 37? (a) 30 (b) 14 (c) 7 (d) 31

Answer key

  1. 83
  2. 22
  3. 24
  4. 26
  5. 21
  6. 77
  7. 26
  8. 10
  9. 73
  10. 50
  11. 69
  12. 63
  13. 14
  14. 33
  15. 35
  16. 120
  17. 45
  18. 48
  19. 23
  20. 18
  21. 108
  22. 60
  23. 29
  24. 28
  25. 44
  26. 55
  27. 36
  28. 34
  29. 57
  30. 42
  31. 76
  32. 26
  33. 33
  34. 65
  35. 35
  36. 70
  37. 30
  38. 44
  39. 33
  40. 30

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