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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 591 · 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 44 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 50 (b) 47 (c) 27 (d) 71
  2. 2.What is the average of all the whole numbers from 51 to 73? (a) 62 (b) 63 (c) 11 (d) 22
  3. 3.What is the average of 44, 41, 24, 46 and 15? (a) 34 (b) 36 (c) 35 (d) 33
  4. 4.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 40? (a) 44 (b) 40 (c) 16 (d) 52
  5. 5.What is the average of 40, 40, 37 and 75? (a) 47 (b) 49 (c) 48 (d) 64
  6. 6.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 57 (b) 45 (c) 15 (d) 48
  7. 7.What is the average of 58, 83, 77, 64, 76 and 56? (a) 68 (b) 70 (c) 69 (d) 71
  8. 8.What is the average of 55, 42, 60, 55 and 63? (a) 54 (b) 55 (c) 57 (d) 56
  9. 9.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) 16 (b) 27 (c) 50 (d) 39
  10. 10.What is the average of all the whole numbers from 14 to 44? (a) 30 (b) 15 (c) 29 (d) 28
  11. 11.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 76 (b) 36 (c) 17 (d) 16
  12. 12.What is the average of 29, 40, 29, 25, 37 and 56? (a) 38 (b) 37 (c) 36 (d) 35
  13. 13.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 4 (b) 27 (c) 14 (d) 17
  14. 14.What is the average of all the whole numbers from 41 to 65? (a) 12 (b) 53 (c) 24 (d) 54
  15. 15.What is the average of all the whole numbers from 18 to 42? (a) 12 (b) 24 (c) 30 (d) 31
  16. 16.What is the average of 40, 62, 50, 41 and 47? (a) 60 (b) 47 (c) 49 (d) 48
  17. 17.A batter has an average of 33 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 41 (b) 37 (c) 24 (d) 57
  18. 18.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 35 (b) 17 (c) 31 (d) 21
  19. 19.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 52? (a) 100 (b) 54 (c) 52 (d) 58
  20. 20.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 68 (b) 21 (c) 22 (d) 33
  21. 21.What is the average of 90, 71, 79, 87, 80 and 55? (a) 79 (b) 78 (c) 77 (d) 76
  22. 22.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 36 (c) 69 (d) 93
  23. 23.What is the average of all the whole numbers from 23 to 41? (a) 32 (b) 9 (c) 18 (d) 33
  24. 24.What is the average of 14, 27, 9, 29, 14 and 39? (a) 23 (b) 21 (c) 24 (d) 22
  25. 25.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 31? (a) 48 (b) 71 (c) 31 (d) 39
  26. 26.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 4 (b) 52 (c) 97 (d) 49
  27. 27.What is the average of all the whole numbers from 36 to 42? (a) 40 (b) 3 (c) 6 (d) 39
  28. 28.What is the average of all the whole numbers from 6 to 34? (a) 14 (b) 20 (c) 21 (d) 28
  29. 29.What is the average of all the whole numbers from 11 to 27? (a) 20 (b) 8 (c) 16 (d) 19
  30. 30.A batter has an average of 55 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 69 (b) 111 (c) 56 (d) 62
  31. 31.What is the average of 45, 16, 16, 31, 18 and 54? (a) 31 (b) 29 (c) 30 (d) 36
  32. 32.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 19 (b) 8 (c) 17 (d) 10
  33. 33.What is the average of 11, 12, 20 and 49? (a) 24 (b) 22 (c) 23 (d) 25
  34. 34.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 40? (a) 46 (b) 82 (c) 48 (d) 40
  35. 35.What is the average of 28, 9, 32, 27, 23 and 13? (a) 24 (b) 23 (c) 22 (d) 21
  36. 36.A batter has an average of 57 runs in 7 matches. How many runs are needed in the next match to raise the average to 61? (a) 32 (b) 61 (c) 65 (d) 89
  37. 37.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) 13 (b) 23 (c) 25 (d) 15
  38. 38.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 15 (b) 23 (c) 19 (d) 11
  39. 39.What is the average of 68, 62, 50, 52 and 58? (a) 57 (b) 58 (c) 59 (d) 60
  40. 40.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 10 (b) 32 (c) 24 (d) 46

Answer key

  1. 71
  2. 62
  3. 34
  4. 52
  5. 48
  6. 57
  7. 69
  8. 55
  9. 39
  10. 29
  11. 16
  12. 36
  13. 17
  14. 53
  15. 30
  16. 48
  17. 57
  18. 35
  19. 100
  20. 21
  21. 77
  22. 93
  23. 32
  24. 22
  25. 71
  26. 52
  27. 39
  28. 20
  29. 19
  30. 111
  31. 30
  32. 17
  33. 23
  34. 82
  35. 22
  36. 89
  37. 25
  38. 23
  39. 58
  40. 32

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