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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 577 · 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 6 numbers is 26. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 55 (b) 11 (c) 12 (d) 26
  2. 2.What is the average of all the whole numbers from 35 to 41? (a) 3 (b) 39 (c) 6 (d) 38
  3. 3.What is the average of 17, 26, 32, 15, 19 and 11? (a) 19 (b) 21 (c) 24 (d) 20
  4. 4.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 16 (b) 29 (c) 12 (d) 25
  5. 5.What is the average of all the whole numbers from 55 to 73? (a) 9 (b) 64 (c) 18 (d) 65
  6. 6.What is the average of all the whole numbers from 35 to 63? (a) 28 (b) 49 (c) 50 (d) 14
  7. 7.What is the average of all the whole numbers from 46 to 76? (a) 30 (b) 61 (c) 15 (d) 62
  8. 8.What is the average of 57, 70, 55 and 98? (a) 72 (b) 71 (c) 70 (d) 69
  9. 9.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 34 (c) 30 (d) 52
  10. 10.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 47 (c) 96 (d) 63
  11. 11.What is the average of 13, 23, 16, 15 and 68? (a) 29 (b) 26 (c) 28 (d) 27
  12. 12.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 32 (b) 56 (c) 64 (d) 80
  13. 13.What is the average of all the whole numbers from 10 to 38? (a) 24 (b) 14 (c) 25 (d) 28
  14. 14.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 36 (b) 29 (c) 28 (d) 74
  15. 15.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 37? (a) 45 (b) 93 (c) 37 (d) 64
  16. 16.What is the average of all the whole numbers from 9 to 39? (a) 25 (b) 15 (c) 30 (d) 24
  17. 17.What is the average of 49, 43, 20, 25, 40 and 27? (a) 33 (b) 34 (c) 35 (d) 36
  18. 18.What is the average of 66, 51, 48, 61, 47 and 93? (a) 62 (b) 63 (c) 61 (d) 60
  19. 19.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 39 (b) 69 (c) 40 (d) 34
  20. 20.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 25 (b) 55 (c) 10 (d) 11
  21. 21.What is the average of all the whole numbers from 27 to 55? (a) 28 (b) 42 (c) 14 (d) 41
  22. 22.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 72 (c) 35 (d) 93
  23. 23.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 39 (b) 40 (c) 21 (d) 38
  24. 24.What is the average of 56, 65, 53 and 98? (a) 69 (b) 68 (c) 70 (d) 67
  25. 25.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 34? (a) 34 (b) 42 (c) 58 (d) 32
  26. 26.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 60 (b) 72 (c) 18 (d) 57
  27. 27.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 91 (b) 41 (c) 45 (d) 40
  28. 28.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) 34 (b) 14 (c) 24 (d) 22
  29. 29.What is the average of all the whole numbers from 51 to 81? (a) 15 (b) 30 (c) 67 (d) 66
  30. 30.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 32? (a) 44 (b) 14 (c) 34 (d) 32
  31. 31.What is the average of all the whole numbers from 12 to 30? (a) 22 (b) 9 (c) 18 (d) 21
  32. 32.What is the average of all the whole numbers from 56 to 72? (a) 8 (b) 16 (c) 65 (d) 64
  33. 33.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 29 (b) 21 (c) 7 (d) 15
  34. 34.What is the average of all the whole numbers from 59 to 97? (a) 79 (b) 78 (c) 38 (d) 19
  35. 35.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 30 (b) 28 (c) 51 (d) 53
  36. 36.What is the average of all the whole numbers from 39 to 79? (a) 59 (b) 20 (c) 40 (d) 60
  37. 37.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 25 (c) 49 (d) 34
  38. 38.A batter has an average of 52 runs in 6 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 94 (c) 42 (d) 64
  39. 39.What is the average of all the whole numbers from 5 to 11? (a) 8 (b) 3 (c) 6 (d) 9
  40. 40.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 25? (a) 41 (b) 25 (c) 20 (d) 29

Answer key

  1. 11
  2. 38
  3. 20
  4. 25
  5. 64
  6. 49
  7. 61
  8. 70
  9. 52
  10. 96
  11. 27
  12. 80
  13. 24
  14. 28
  15. 93
  16. 24
  17. 34
  18. 61
  19. 69
  20. 10
  21. 41
  22. 93
  23. 39
  24. 68
  25. 58
  26. 72
  27. 40
  28. 34
  29. 66
  30. 44
  31. 21
  32. 64
  33. 21
  34. 78
  35. 53
  36. 59
  37. 49
  38. 94
  39. 8
  40. 41

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