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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 758 · 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.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 27 (b) 13 (c) 10 (d) 9
  2. 2.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 12 (b) 31 (c) 37 (d) 28
  3. 3.What is the average of 45, 16, 18, 39, 28 and 34? (a) 29 (b) 31 (c) 30 (d) 36
  4. 4.What is the average of 20, 26, 33, 32, 17 and 40? (a) 28 (b) 29 (c) 30 (d) 27
  5. 5.What is the average of all the whole numbers from 44 to 52? (a) 49 (b) 48 (c) 8 (d) 4
  6. 6.What is the average of all the whole numbers from 9 to 33? (a) 22 (b) 12 (c) 24 (d) 21
  7. 7.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 42 (b) 10 (c) 34 (d) 36
  8. 8.What is the average of 49, 42, 53 and 44? (a) 49 (b) 47 (c) 46 (d) 48
  9. 9.A batter has an average of 56 runs in 5 matches. How many runs are needed in the next match to raise the average to 61? (a) 66 (b) 61 (c) 86 (d) 30
  10. 10.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 39 (b) 40 (c) 57 (d) 22
  11. 11.What is the average of 70, 61, 81 and 76? (a) 71 (b) 72 (c) 73 (d) 96
  12. 12.What is the average of all the whole numbers from 5 to 37? (a) 21 (b) 32 (c) 22 (d) 16
  13. 13.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 7 (b) 49 (c) 31 (d) 25
  14. 14.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 28 (c) 44 (d) 20
  15. 15.What is the average of 49, 44, 58, 31, 58 and 30? (a) 45 (b) 54 (c) 46 (d) 44
  16. 16.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 24 (b) 44 (c) 40 (d) 20
  17. 17.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 12 (b) 4 (c) 27 (d) 3
  18. 18.What is the average of 40, 13, 20, 23 and 39? (a) 27 (b) 28 (c) 29 (d) 26
  19. 19.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 52 (b) 40 (c) 17 (d) 29
  20. 20.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 29 (b) 38 (c) 78 (d) 28
  21. 21.What is the average of all the whole numbers from 12 to 40? (a) 27 (b) 28 (c) 26 (d) 14
  22. 22.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 14 (b) 41 (c) 15 (d) 20
  23. 23.What is the average of 30, 45, 33 and 40? (a) 38 (b) 39 (c) 36 (d) 37
  24. 24.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 30 (b) 3 (c) 2 (d) 14
  25. 25.What is the average of 82, 59, 56 and 79? (a) 92 (b) 68 (c) 70 (d) 69
  26. 26.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 52? (a) 54 (b) 100 (c) 58 (d) 52
  27. 27.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 40 (b) 35 (c) 15 (d) 10
  28. 28.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 41? (a) 76 (b) 41 (c) 42 (d) 48
  29. 29.What is the average of all the whole numbers from 29 to 67? (a) 49 (b) 19 (c) 38 (d) 48
  30. 30.What is the average of 33, 47, 39, 35 and 81? (a) 47 (b) 49 (c) 48 (d) 46
  31. 31.What is the average of 25, 26, 40 and 9? (a) 27 (b) 25 (c) 24 (d) 26
  32. 32.What is the average of 49, 56, 41, 40 and 89? (a) 57 (b) 56 (c) 54 (d) 55
  33. 33.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 23 (b) 41 (c) 38 (d) 20
  34. 34.What is the average of 85, 81, 70, 84, 69 and 49? (a) 74 (b) 72 (c) 75 (d) 73
  35. 35.What is the average of 12, 33, 21 and 18? (a) 22 (b) 21 (c) 20 (d) 28
  36. 36.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 24 (b) 42 (c) 46 (d) 62
  37. 37.What is the average of 38, 37, 45, 30, 37 and 5? (a) 32 (b) 33 (c) 34 (d) 31
  38. 38.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 27? (a) 63 (b) 27 (c) 42 (d) 33
  39. 39.What is the average of 32, 32, 42, 48 and 36? (a) 40 (b) 37 (c) 39 (d) 38
  40. 40.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 67 (b) 24 (c) 32 (d) 23

Answer key

  1. 9
  2. 37
  3. 30
  4. 28
  5. 48
  6. 21
  7. 42
  8. 47
  9. 86
  10. 57
  11. 72
  12. 21
  13. 31
  14. 44
  15. 45
  16. 40
  17. 3
  18. 27
  19. 52
  20. 28
  21. 26
  22. 14
  23. 37
  24. 2
  25. 69
  26. 100
  27. 40
  28. 76
  29. 48
  30. 47
  31. 25
  32. 55
  33. 38
  34. 73
  35. 21
  36. 62
  37. 32
  38. 63
  39. 38
  40. 23

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