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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 163 · 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 47 runs in 8 matches. How many runs are needed in the next match to raise the average to 49? (a) 18 (b) 51 (c) 65 (d) 49
  2. 2.What is the average of all the whole numbers from 38 to 44? (a) 6 (b) 42 (c) 3 (d) 41
  3. 3.What is the average of 56, 48, 65, 68 and 48? (a) 56 (b) 58 (c) 57 (d) 59
  4. 4.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 11 (b) 33 (c) 16 (d) 12
  5. 5.What is the average of all the whole numbers from 32 to 68? (a) 18 (b) 50 (c) 36 (d) 51
  6. 6.What is the average of 37, 48, 46, 45 and 49? (a) 46 (b) 44 (c) 47 (d) 45
  7. 7.What is the average of all the whole numbers from 56 to 80? (a) 69 (b) 24 (c) 12 (d) 68
  8. 8.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 23 (b) 40 (c) 49 (d) 14
  9. 9.What is the average of all the whole numbers from 55 to 61? (a) 6 (b) 59 (c) 3 (d) 58
  10. 10.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 74 (b) 50 (c) 36 (d) 44
  11. 11.What is the average of all the whole numbers from 18 to 30? (a) 25 (b) 24 (c) 12 (d) 6
  12. 12.What is the average of 37, 38, 21 and 44? (a) 37 (b) 34 (c) 35 (d) 36
  13. 13.What is the average of 24, 19, 46, 25, 32 and 52? (a) 34 (b) 35 (c) 32 (d) 33
  14. 14.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 61 (b) 26 (c) 40 (d) 47
  15. 15.What is the average of all the whole numbers from 45 to 79? (a) 34 (b) 63 (c) 62 (d) 17
  16. 16.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 20 (b) 31 (c) 36 (d) 46
  17. 17.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 13 (b) 37 (c) 18 (d) 12
  18. 18.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 10 (b) 31 (c) 15 (d) 9
  19. 19.What is the average of all the whole numbers from 27 to 55? (a) 28 (b) 14 (c) 42 (d) 41
  20. 20.What is the average of all the whole numbers from 9 to 41? (a) 16 (b) 26 (c) 32 (d) 25
  21. 21.What is the average of all the whole numbers from 44 to 80? (a) 62 (b) 63 (c) 18 (d) 36
  22. 22.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 71 (b) 29 (c) 35 (d) 30
  23. 23.What is the average of all the whole numbers from 8 to 20? (a) 15 (b) 12 (c) 6 (d) 14
  24. 24.What is the average of 84, 81, 69 and 78? (a) 78 (b) 79 (c) 77 (d) 104
  25. 25.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 38? (a) 44 (b) 40 (c) 8 (d) 38
  26. 26.What is the average of all the whole numbers from 39 to 47? (a) 8 (b) 43 (c) 44 (d) 4
  27. 27.What is the average of 63, 58, 69, 64, 50 and 50? (a) 58 (b) 60 (c) 59 (d) 61
  28. 28.What is the average of all the whole numbers from 56 to 70? (a) 7 (b) 64 (c) 14 (d) 63
  29. 29.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 69 (c) 117 (d) 64
  30. 30.What is the average of all the whole numbers from 10 to 40? (a) 15 (b) 26 (c) 30 (d) 25
  31. 31.What is the average of 24, 21, 33, 28, 33 and 71? (a) 35 (b) 34 (c) 42 (d) 36
  32. 32.What is the average of 50, 41, 34, 43 and 72? (a) 49 (b) 60 (c) 47 (d) 48
  33. 33.What is the average of 12, 14, 12, 13 and 84? (a) 27 (b) 29 (c) 28 (d) 26
  34. 34.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 46 (b) 41 (c) 40 (d) 94
  35. 35.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 5 (b) 46 (c) 91 (d) 50
  36. 36.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 6 (b) 28 (c) 5 (d) 13
  37. 37.What is the average of all the whole numbers from 20 to 46? (a) 26 (b) 33 (c) 13 (d) 34
  38. 38.What is the average of all the whole numbers from 29 to 47? (a) 39 (b) 38 (c) 18 (d) 9
  39. 39.What is the average of 77, 51, 76, 67 and 44? (a) 62 (b) 65 (c) 64 (d) 63
  40. 40.What is the average of 70, 54, 72, 69 and 75? (a) 68 (b) 69 (c) 85 (d) 67

Answer key

  1. 65
  2. 41
  3. 57
  4. 11
  5. 50
  6. 45
  7. 68
  8. 49
  9. 58
  10. 74
  11. 24
  12. 35
  13. 33
  14. 61
  15. 62
  16. 46
  17. 12
  18. 9
  19. 41
  20. 25
  21. 62
  22. 29
  23. 14
  24. 78
  25. 44
  26. 43
  27. 59
  28. 63
  29. 117
  30. 25
  31. 35
  32. 48
  33. 27
  34. 40
  35. 50
  36. 5
  37. 33
  38. 38
  39. 63
  40. 68

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