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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 274 · 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 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 28 (c) 37 (d) 57
  2. 2.The average of 6 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) 26 (d) 30
  3. 3.What is the average of 51, 49, 51 and 101? (a) 84 (b) 62 (c) 63 (d) 64
  4. 4.What is the average of 37, 54, 36 and 49? (a) 46 (b) 43 (c) 44 (d) 45
  5. 5.A batter has an average of 46 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 48 (b) 94 (c) 52 (d) 58
  6. 6.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 56 (b) 33 (c) 81 (d) 41
  7. 7.What is the average of 35, 20, 22 and 31? (a) 28 (b) 36 (c) 27 (d) 26
  8. 8.What is the average of 46, 67, 61, 65 and 61? (a) 61 (b) 60 (c) 75 (d) 59
  9. 9.What is the average of 92, 67, 69 and 92? (a) 80 (b) 79 (c) 82 (d) 81
  10. 10.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 21 (b) 29 (c) 47 (d) 55
  11. 11.What is the average of all the whole numbers from 36 to 52? (a) 45 (b) 16 (c) 8 (d) 44
  12. 12.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 17 (b) 35 (c) 29 (d) 47
  13. 13.What is the average of 24, 16, 38 and 30? (a) 27 (b) 28 (c) 36 (d) 26
  14. 14.What is the average of all the whole numbers from 10 to 16? (a) 13 (b) 6 (c) 3 (d) 14
  15. 15.What is the average of 8, 31, 38 and 15? (a) 24 (b) 22 (c) 23 (d) 25
  16. 16.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 88 (b) 58 (c) 16 (d) 46
  17. 17.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 14 (b) 45 (c) 33 (d) 35
  18. 18.What is the average of all the whole numbers from 50 to 88? (a) 69 (b) 19 (c) 38 (d) 70
  19. 19.What is the average of all the whole numbers from 25 to 63? (a) 44 (b) 45 (c) 38 (d) 19
  20. 20.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 23 (b) 24 (c) 43 (d) 44
  21. 21.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 43 (b) 83 (c) 24 (d) 64
  22. 22.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 65 (b) 29 (c) 42 (d) 35
  23. 23.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 35 (b) 34 (c) 64 (d) 39
  24. 24.What is the average of 41, 35, 29, 46, 45 and 32? (a) 40 (b) 38 (c) 37 (d) 39
  25. 25.What is the average of all the whole numbers from 25 to 55? (a) 40 (b) 30 (c) 41 (d) 15
  26. 26.A batter has an average of 52 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 73 (b) 21 (c) 58 (d) 55
  27. 27.What is the average of 47, 47, 70 and 84? (a) 62 (b) 63 (c) 61 (d) 64
  28. 28.A batter has an average of 44 runs in 6 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 60 (c) 100 (d) 56
  29. 29.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 18 (b) 38 (c) 13 (d) 12
  30. 30.What is the average of all the whole numbers from 55 to 75? (a) 65 (b) 20 (c) 10 (d) 66
  31. 31.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 9 (b) 21 (c) 44 (d) 10
  32. 32.What is the average of 17, 31, 22, 7, 21 and 34? (a) 21 (b) 23 (c) 24 (d) 22
  33. 33.What is the average of 69, 76, 75, 57 and 33? (a) 62 (b) 61 (c) 63 (d) 64
  34. 34.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 41 (b) 22 (c) 32 (d) 13
  35. 35.What is the average of 59, 70, 58 and 65? (a) 64 (b) 84 (c) 63 (d) 62
  36. 36.What is the average of 58, 57, 50 and 75? (a) 80 (b) 61 (c) 59 (d) 60
  37. 37.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 41 (b) 48 (c) 98 (d) 40
  38. 38.What is the average of all the whole numbers from 59 to 73? (a) 67 (b) 66 (c) 14 (d) 7
  39. 39.A batter has an average of 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 80 (b) 52 (c) 56 (d) 32
  40. 40.What is the average of all the whole numbers from 49 to 79? (a) 15 (b) 30 (c) 65 (d) 64

Answer key

  1. 57
  2. 25
  3. 63
  4. 44
  5. 94
  6. 81
  7. 27
  8. 60
  9. 80
  10. 47
  11. 44
  12. 47
  13. 27
  14. 13
  15. 23
  16. 58
  17. 45
  18. 69
  19. 44
  20. 44
  21. 64
  22. 65
  23. 64
  24. 38
  25. 40
  26. 73
  27. 62
  28. 100
  29. 12
  30. 65
  31. 9
  32. 22
  33. 62
  34. 41
  35. 63
  36. 60
  37. 40
  38. 66
  39. 80
  40. 64

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