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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 804 · 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.What is the average of 58, 79, 74, 65 and 69? (a) 69 (b) 71 (c) 70 (d) 68
  2. 2.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 49? (a) 81 (b) 57 (c) 49 (d) 40
  3. 3.What is the average of 73, 59, 82 and 66? (a) 72 (b) 70 (c) 71 (d) 69
  4. 4.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 60 (b) 67 (c) 115 (d) 61
  5. 5.What is the average of all the whole numbers from 10 to 16? (a) 6 (b) 3 (c) 14 (d) 13
  6. 6.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 29? (a) 37 (b) 29 (c) 56 (d) 77
  7. 7.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 26 (b) 50 (c) 36 (d) 12
  8. 8.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 46? (a) 28 (b) 46 (c) 50 (d) 70
  9. 9.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) 36 (b) 57 (c) 85 (d) 53
  10. 10.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 74 (b) 46 (c) 10 (d) 38
  11. 11.What is the average of all the whole numbers from 37 to 53? (a) 46 (b) 8 (c) 45 (d) 16
  12. 12.What is the average of 70, 60, 45, 49 and 66? (a) 60 (b) 59 (c) 57 (d) 58
  13. 13.A batter has an average of 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 42 (b) 37 (c) 45 (d) 77
  14. 14.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 27? (a) 52 (b) 51 (c) 27 (d) 30
  15. 15.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 31? (a) 46 (b) 18 (c) 34 (d) 31
  16. 16.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 95 (b) 31 (c) 45 (d) 30
  17. 17.What is the average of 20, 24, 21, 40 and 60? (a) 32 (b) 33 (c) 35 (d) 34
  18. 18.What is the average of all the whole numbers from 47 to 75? (a) 14 (b) 28 (c) 62 (d) 61
  19. 19.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 31? (a) 43 (b) 15 (c) 34 (d) 31
  20. 20.What is the average of 53, 59, 68 and 44? (a) 58 (b) 56 (c) 57 (d) 55
  21. 21.What is the average of all the whole numbers from 60 to 98? (a) 19 (b) 79 (c) 80 (d) 38
  22. 22.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 87 (b) 7 (c) 44 (d) 50
  23. 23.What is the average of all the whole numbers from 11 to 33? (a) 21 (b) 22 (c) 11 (d) 23
  24. 24.What is the average of 39, 55, 41, 48, 60 and 39? (a) 47 (b) 49 (c) 46 (d) 48
  25. 25.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 24 (b) 22 (c) 21 (d) 49
  26. 26.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) 70 (c) 12 (d) 64
  27. 27.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 37 (b) 8 (c) 72 (d) 43
  28. 28.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 60? (a) 62 (b) 60 (c) 10 (d) 68
  29. 29.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 34? (a) 34 (b) 58 (c) 38 (d) 28
  30. 30.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 25? (a) 60 (b) 25 (c) 30 (d) 40
  31. 31.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 8 (b) 12 (c) 9 (d) 25
  32. 32.A batter has an average of 37 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 53 (c) 16 (d) 41
  33. 33.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 27 (b) 30 (c) 61 (d) 26
  34. 34.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 45 (b) 24 (c) 33 (d) 27
  35. 35.What is the average of all the whole numbers from 20 to 40? (a) 31 (b) 10 (c) 30 (d) 20
  36. 36.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 22 (b) 4 (c) 37 (d) 19
  37. 37.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 29 (b) 59 (c) 27 (d) 26
  38. 38.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 83 (b) 55 (c) 15 (d) 43
  39. 39.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 31 (b) 30 (c) 87 (d) 42
  40. 40.A batter has an average of 34 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 40 (b) 37 (c) 61 (d) 27

Answer key

  1. 69
  2. 81
  3. 70
  4. 115
  5. 13
  6. 77
  7. 36
  8. 70
  9. 85
  10. 46
  11. 45
  12. 58
  13. 77
  14. 51
  15. 46
  16. 30
  17. 33
  18. 61
  19. 43
  20. 56
  21. 79
  22. 50
  23. 22
  24. 47
  25. 21
  26. 70
  27. 43
  28. 68
  29. 58
  30. 60
  31. 8
  32. 53
  33. 26
  34. 45
  35. 30
  36. 22
  37. 26
  38. 55
  39. 30
  40. 61

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