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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 801 · 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 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 8 (b) 27 (c) 33 (d) 29
  2. 2.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 20 (c) 58 (d) 70
  3. 3.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 61 (b) 25 (c) 24 (d) 30
  4. 4.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 26 (b) 14 (c) 25 (d) 15
  5. 5.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 28 (b) 54 (c) 16 (d) 42
  6. 6.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 67 (b) 90 (c) 24 (d) 47
  7. 7.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 42 (b) 12 (c) 39 (d) 48
  8. 8.What is the average of all the whole numbers from 53 to 69? (a) 16 (b) 62 (c) 8 (d) 61
  9. 9.What is the average of all the whole numbers from 22 to 34? (a) 6 (b) 28 (c) 12 (d) 29
  10. 10.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 95 (b) 26 (c) 46 (d) 25
  11. 11.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 49 (b) 20 (c) 45 (d) 61
  12. 12.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 36 (b) 78 (c) 54 (d) 30
  13. 13.What is the average of all the whole numbers from 11 to 29? (a) 18 (b) 20 (c) 21 (d) 9
  14. 14.What is the average of all the whole numbers from 15 to 35? (a) 26 (b) 10 (c) 25 (d) 20
  15. 15.A batter has an average of 40 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 54 (b) 47 (c) 42 (d) 82
  16. 16.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 32 (c) 66 (d) 50
  17. 17.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 20 (b) 27 (c) 45 (d) 29
  18. 18.A batter has an average of 43 runs in 8 matches. How many runs are needed in the next match to raise the average to 51? (a) 59 (b) 72 (c) 115 (d) 51
  19. 19.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 48 (b) 21 (c) 66 (d) 93
  20. 20.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 65 (c) 36 (d) 93
  21. 21.What is the average of all the whole numbers from 47 to 77? (a) 62 (b) 15 (c) 30 (d) 63
  22. 22.What is the average of all the whole numbers from 7 to 33? (a) 21 (b) 20 (c) 13 (d) 26
  23. 23.What is the average of 60, 70, 67 and 79? (a) 92 (b) 68 (c) 70 (d) 69
  24. 24.What is the average of all the whole numbers from 6 to 12? (a) 6 (b) 3 (c) 10 (d) 9
  25. 25.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 30 (b) 26 (c) 12 (d) 16
  26. 26.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 38 (c) 42 (d) 66
  27. 27.What is the average of 44, 37, 58, 58 and 63? (a) 53 (b) 51 (c) 65 (d) 52
  28. 28.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) 38 (c) 41 (d) 20
  29. 29.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 20 (b) 32 (c) 36 (d) 48
  30. 30.What is the average of 41, 58, 46, 47, 48 and 96? (a) 57 (b) 56 (c) 58 (d) 55
  31. 31.What is the average of 41, 40, 55, 38, 41 and 103? (a) 54 (b) 52 (c) 55 (d) 53
  32. 32.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 56 (c) 74 (d) 24
  33. 33.What is the average of 78, 57, 77 and 64? (a) 70 (b) 69 (c) 68 (d) 92
  34. 34.What is the average of 65, 87, 59, 74, 72 and 75? (a) 73 (b) 74 (c) 71 (d) 72
  35. 35.What is the average of all the whole numbers from 44 to 60? (a) 53 (b) 8 (c) 16 (d) 52
  36. 36.What is the average of 47, 29, 24, 34, 38 and 32? (a) 36 (b) 35 (c) 33 (d) 34
  37. 37.What is the average of 45, 26, 30, 52 and 52? (a) 40 (b) 43 (c) 41 (d) 42
  38. 38.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 56 (c) 42 (d) 82
  39. 39.What is the average of 91, 75, 84, 69, 85 and 64? (a) 77 (b) 80 (c) 79 (d) 78
  40. 40.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 13 (b) 8 (c) 7 (d) 28

Answer key

  1. 33
  2. 70
  3. 24
  4. 26
  5. 42
  6. 67
  7. 48
  8. 61
  9. 28
  10. 25
  11. 61
  12. 78
  13. 20
  14. 25
  15. 82
  16. 66
  17. 45
  18. 115
  19. 66
  20. 93
  21. 62
  22. 20
  23. 69
  24. 9
  25. 26
  26. 66
  27. 52
  28. 38
  29. 48
  30. 56
  31. 53
  32. 74
  33. 69
  34. 72
  35. 52
  36. 34
  37. 41
  38. 82
  39. 78
  40. 7

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