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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 731 · 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 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 65 (b) 66 (c) 35 (d) 40
  2. 2.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 6 (b) 33 (c) 15 (d) 7
  3. 3.What is the average of 35, 53, 55, 49, 53 and 7? (a) 44 (b) 41 (c) 43 (d) 42
  4. 4.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 51? (a) 51 (b) 67 (c) 20 (d) 55
  5. 5.A batter has an average of 59 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 65 (b) 62 (c) 21 (d) 80
  6. 6.A batter has an average of 60 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 18 (b) 64 (c) 62 (d) 78
  7. 7.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 38 (b) 30 (c) 29 (d) 79
  8. 8.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 8 (b) 59 (c) 55 (d) 53
  9. 9.What is the average of all the whole numbers from 25 to 37? (a) 32 (b) 12 (c) 6 (d) 31
  10. 10.What is the average of 27, 26, 18, 15 and 49? (a) 26 (b) 28 (c) 29 (d) 27
  11. 11.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 35? (a) 35 (b) 42 (c) 71 (d) 70
  12. 12.What is the average of all the whole numbers from 18 to 30? (a) 12 (b) 6 (c) 25 (d) 24
  13. 13.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 46 (b) 1 (c) 21 (d) 2
  14. 14.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) 51 (b) 115 (c) 59 (d) 72
  15. 15.What is the average of all the whole numbers from 23 to 41? (a) 9 (b) 18 (c) 33 (d) 32
  16. 16.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 28? (a) 44 (b) 20 (c) 32 (d) 28
  17. 17.What is the average of 23, 47, 25, 39 and 31? (a) 33 (b) 32 (c) 35 (d) 34
  18. 18.What is the average of 19, 45, 46, 26, 24 and 26? (a) 30 (b) 32 (c) 31 (d) 33
  19. 19.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 50 (b) 54 (c) 8 (d) 48
  20. 20.What is the average of all the whole numbers from 60 to 96? (a) 79 (b) 78 (c) 18 (d) 36
  21. 21.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 50 (b) 16 (c) 27 (d) 39
  22. 22.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 52 (b) 45 (c) 56 (d) 94
  23. 23.What is the average of 35, 57, 36, 43 and 49? (a) 55 (b) 44 (c) 43 (d) 45
  24. 24.What is the average of 54, 40, 45, 37, 33 and 61? (a) 46 (b) 44 (c) 45 (d) 54
  25. 25.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 28 (c) 61 (d) 75
  26. 26.A batter has an average of 45 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 75 (b) 48 (c) 51 (d) 30
  27. 27.A batter has an average of 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 26? (a) 12 (b) 26 (c) 29 (d) 35
  28. 28.A batter has an average of 39 runs in 7 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 79 (c) 49 (d) 40
  29. 29.What is the average of all the whole numbers from 14 to 34? (a) 20 (b) 25 (c) 10 (d) 24
  30. 30.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 10 (b) 66 (c) 34 (d) 42
  31. 31.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 14 (b) 11 (c) 21 (d) 4
  32. 32.What is the average of 67, 85, 78, 84, 90 and 76? (a) 81 (b) 96 (c) 80 (d) 79
  33. 33.What is the average of 30, 52, 58, 29 and 51? (a) 45 (b) 43 (c) 55 (d) 44
  34. 34.A batter has an average of 60 runs in 8 matches. How many runs are needed in the next match to raise the average to 67? (a) 74 (b) 63 (c) 67 (d) 123
  35. 35.What is the average of 56, 33, 41, 51, 32 and 39? (a) 43 (b) 41 (c) 42 (d) 44
  36. 36.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 35 (b) 74 (c) 8 (d) 7
  37. 37.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 4 (b) 89 (c) 48 (d) 45
  38. 38.A batter has an average of 59 runs in 9 matches. How many runs are needed in the next match to raise the average to 66? (a) 73 (b) 66 (c) 70 (d) 129
  39. 39.A batter has an average of 38 runs in 8 matches. How many runs are needed in the next match to raise the average to 40? (a) 56 (b) 18 (c) 42 (d) 40
  40. 40.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 57? (a) 48 (b) 63 (c) 57 (d) 99

Answer key

  1. 65
  2. 6
  3. 42
  4. 67
  5. 80
  6. 78
  7. 29
  8. 59
  9. 31
  10. 27
  11. 70
  12. 24
  13. 1
  14. 115
  15. 32
  16. 44
  17. 33
  18. 31
  19. 54
  20. 78
  21. 39
  22. 94
  23. 44
  24. 45
  25. 75
  26. 75
  27. 35
  28. 79
  29. 24
  30. 42
  31. 14
  32. 80
  33. 44
  34. 123
  35. 42
  36. 7
  37. 48
  38. 129
  39. 56
  40. 99

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