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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 528 · 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 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 56 (b) 25 (c) 51 (d) 71
  2. 2.A batter has an average of 53 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 14 (b) 55 (c) 67 (d) 57
  3. 3.A batter has an average of 58 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 32 (b) 90 (c) 66 (d) 62
  4. 4.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 25 (b) 36 (c) 35 (d) 15
  5. 5.What is the average of 76, 67, 61, 51, 76 and 35? (a) 62 (b) 60 (c) 63 (d) 61
  6. 6.What is the average of 21, 20, 12, 29, 23 and 15? (a) 24 (b) 19 (c) 20 (d) 21
  7. 7.What is the average of all the whole numbers from 13 to 29? (a) 16 (b) 8 (c) 21 (d) 22
  8. 8.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 63? (a) 32 (b) 63 (c) 71 (d) 87
  9. 9.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 99 (b) 47 (c) 18 (d) 17
  10. 10.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 80 (b) 42 (c) 28 (d) 66
  11. 11.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 43 (b) 24 (c) 25 (d) 44
  12. 12.What is the average of 28, 37, 17, 24, 25 and 49? (a) 29 (b) 31 (c) 30 (d) 36
  13. 13.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 73 (b) 35 (c) 18 (d) 17
  14. 14.What is the average of 47, 37, 23 and 33? (a) 35 (b) 37 (c) 36 (d) 34
  15. 15.What is the average of 51, 78, 59 and 76? (a) 88 (b) 65 (c) 66 (d) 67
  16. 16.What is the average of all the whole numbers from 27 to 47? (a) 10 (b) 37 (c) 38 (d) 20
  17. 17.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 35 (b) 65 (c) 40 (d) 70
  18. 18.What is the average of 51, 47, 47 and 87? (a) 59 (b) 57 (c) 58 (d) 60
  19. 19.What is the average of all the whole numbers from 48 to 78? (a) 63 (b) 30 (c) 64 (d) 15
  20. 20.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 30 (c) 65 (d) 45
  21. 21.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 16 (b) 18 (c) 32 (d) 34
  22. 22.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 21 (b) 5 (c) 4 (d) 10
  23. 23.What is the average of all the whole numbers from 5 to 13? (a) 9 (b) 8 (c) 4 (d) 10
  24. 24.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 70 (b) 34 (c) 42 (d) 40
  25. 25.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 38 (b) 72 (c) 50 (d) 16
  26. 26.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 33? (a) 40 (b) 75 (c) 49 (d) 33
  27. 27.What is the average of all the whole numbers from 41 to 53? (a) 47 (b) 48 (c) 12 (d) 6
  28. 28.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 47 (b) 39 (c) 40 (d) 71
  29. 29.What is the average of all the whole numbers from 34 to 40? (a) 6 (b) 3 (c) 38 (d) 37
  30. 30.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 10 (b) 59 (c) 65 (d) 57
  31. 31.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 23 (b) 18 (c) 19 (d) 47
  32. 32.What is the average of 61, 61, 62 and 72? (a) 65 (b) 64 (c) 66 (d) 63
  33. 33.What is the average of 36, 39, 38, 48, 49 and 12? (a) 39 (b) 36 (c) 37 (d) 38
  34. 34.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 43 (b) 40 (c) 18 (d) 55
  35. 35.What is the average of 43, 30, 41, 32 and 59? (a) 43 (b) 40 (c) 41 (d) 42
  36. 36.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 41 (b) 80 (c) 8 (d) 47
  37. 37.A batter has an average of 38 runs in 6 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 87 (c) 52 (d) 49
  38. 38.What is the average of 12, 34, 24, 9, 19 and 34? (a) 24 (b) 23 (c) 22 (d) 21
  39. 39.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 25 (b) 2 (c) 11 (d) 3
  40. 40.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 44 (b) 36 (c) 16 (d) 32

Answer key

  1. 71
  2. 67
  3. 90
  4. 35
  5. 61
  6. 20
  7. 21
  8. 87
  9. 17
  10. 66
  11. 44
  12. 30
  13. 17
  14. 35
  15. 66
  16. 37
  17. 70
  18. 58
  19. 63
  20. 65
  21. 32
  22. 4
  23. 9
  24. 70
  25. 50
  26. 75
  27. 47
  28. 71
  29. 37
  30. 65
  31. 18
  32. 64
  33. 37
  34. 55
  35. 41
  36. 47
  37. 87
  38. 22
  39. 2
  40. 44

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