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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 497 · 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 8 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 36 (b) 16 (c) 19 (d) 33
  2. 2.What is the average of 33, 36, 40, 33 and 18? (a) 31 (b) 32 (c) 40 (d) 33
  3. 3.What is the average of all the whole numbers from 45 to 83? (a) 19 (b) 38 (c) 64 (d) 65
  4. 4.A batter has an average of 49 runs in 8 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 85 (c) 57 (d) 36
  5. 5.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 43 (b) 90 (c) 16 (d) 15
  6. 6.What is the average of 52, 26, 26 and 52? (a) 39 (b) 40 (c) 38 (d) 52
  7. 7.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 38 (c) 53 (d) 21
  8. 8.A batter has an average of 43 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 21 (b) 64 (c) 46 (d) 49
  9. 9.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 44? (a) 46 (b) 56 (c) 14 (d) 44
  10. 10.What is the average of all the whole numbers from 49 to 81? (a) 66 (b) 65 (c) 32 (d) 16
  11. 11.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 4 (b) 22 (c) 43 (d) 25
  12. 12.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 52 (b) 46 (c) 24 (d) 64
  13. 13.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 15 (b) 8 (c) 28 (d) 21
  14. 14.What is the average of 50, 67, 71, 56 and 56? (a) 61 (b) 59 (c) 75 (d) 60
  15. 15.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 32? (a) 53 (b) 39 (c) 32 (d) 28
  16. 16.What is the average of 74, 81, 72, 75, 84 and 64? (a) 90 (b) 75 (c) 76 (d) 74
  17. 17.What is the average of all the whole numbers from 47 to 65? (a) 18 (b) 56 (c) 9 (d) 57
  18. 18.A batter has an average of 32 runs in 9 matches. How many runs are needed in the next match to raise the average to 34? (a) 20 (b) 34 (c) 52 (d) 36
  19. 19.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 63? (a) 20 (b) 68 (c) 78 (d) 63
  20. 20.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 35 (b) 61 (c) 82 (d) 54
  21. 21.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 15 (b) 32 (c) 10 (d) 9
  22. 22.What is the average of all the whole numbers from 55 to 77? (a) 22 (b) 11 (c) 66 (d) 67
  23. 23.What is the average of 62, 74, 79, 89, 89 and 57? (a) 90 (b) 76 (c) 75 (d) 74
  24. 24.What is the average of 13, 38, 33, 35 and 16? (a) 26 (b) 28 (c) 27 (d) 29
  25. 25.A batter has an average of 59 runs in 4 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 20 (c) 79 (d) 67
  26. 26.What is the average of all the whole numbers from 50 to 58? (a) 4 (b) 8 (c) 54 (d) 55
  27. 27.What is the average of all the whole numbers from 45 to 61? (a) 16 (b) 54 (c) 8 (d) 53
  28. 28.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 25 (b) 15 (c) 23 (d) 13
  29. 29.A batter has an average of 35 runs in 6 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 35 (c) 70 (d) 45
  30. 30.What is the average of all the whole numbers from 12 to 32? (a) 20 (b) 10 (c) 23 (d) 22
  31. 31.What is the average of all the whole numbers from 15 to 25? (a) 21 (b) 5 (c) 20 (d) 10
  32. 32.What is the average of 71, 80, 73, 91 and 80? (a) 81 (b) 78 (c) 80 (d) 79
  33. 33.A batter has an average of 35 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 43 (c) 28 (d) 63
  34. 34.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 14 (b) 42 (c) 22 (d) 34
  35. 35.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 20 (b) 79 (c) 57 (d) 42
  36. 36.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 42 (b) 86 (c) 28 (d) 29
  37. 37.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) 55 (b) 61 (c) 24 (d) 73
  38. 38.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 47 (b) 32 (c) 39 (d) 63
  39. 39.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 33? (a) 41 (b) 57 (c) 33 (d) 32
  40. 40.What is the average of all the whole numbers from 28 to 56? (a) 28 (b) 43 (c) 14 (d) 42

Answer key

  1. 33
  2. 32
  3. 64
  4. 85
  5. 15
  6. 39
  7. 53
  8. 64
  9. 56
  10. 65
  11. 25
  12. 64
  13. 21
  14. 60
  15. 53
  16. 75
  17. 56
  18. 52
  19. 78
  20. 82
  21. 9
  22. 66
  23. 75
  24. 27
  25. 79
  26. 54
  27. 53
  28. 25
  29. 70
  30. 22
  31. 20
  32. 79
  33. 63
  34. 34
  35. 57
  36. 28
  37. 73
  38. 63
  39. 57
  40. 42

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