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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 436 · 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.What is the average of all the whole numbers from 15 to 29? (a) 7 (b) 22 (c) 14 (d) 23
  2. 2.What is the average of 18, 19, 18 and 45? (a) 24 (b) 27 (c) 25 (d) 26
  3. 3.What is the average of all the whole numbers from 43 to 79? (a) 61 (b) 62 (c) 36 (d) 18
  4. 4.What is the average of all the whole numbers from 33 to 59? (a) 13 (b) 46 (c) 26 (d) 47
  5. 5.What is the average of 30, 28, 22, 19 and 36? (a) 27 (b) 26 (c) 28 (d) 29
  6. 6.What is the average of 38, 52, 35 and 55? (a) 44 (b) 46 (c) 45 (d) 60
  7. 7.What is the average of 70, 62, 71 and 65? (a) 66 (b) 67 (c) 68 (d) 69
  8. 8.What is the average of 60, 53, 65, 47, 68 and 79? (a) 64 (b) 61 (c) 63 (d) 62
  9. 9.What is the average of 45, 46, 29, 20, 35 and 35? (a) 34 (b) 36 (c) 42 (d) 35
  10. 10.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 18 (b) 14 (c) 34 (d) 30
  11. 11.What is the average of all the whole numbers from 15 to 21? (a) 19 (b) 6 (c) 18 (d) 3
  12. 12.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 41 (b) 21 (c) 20 (d) 85
  13. 13.What is the average of all the whole numbers from 28 to 46? (a) 37 (b) 38 (c) 18 (d) 9
  14. 14.What is the average of 21, 20, 11 and 44? (a) 24 (b) 23 (c) 25 (d) 32
  15. 15.What is the average of 61, 62, 45 and 36? (a) 68 (b) 50 (c) 51 (d) 52
  16. 16.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 9 (b) 25 (c) 10 (d) 12
  17. 17.A batter has an average of 41 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 53 (b) 12 (c) 44 (d) 47
  18. 18.What is the average of 51, 49, 59, 50, 41 and 44? (a) 48 (b) 51 (c) 50 (d) 49
  19. 19.What is the average of all the whole numbers from 30 to 62? (a) 16 (b) 32 (c) 46 (d) 47
  20. 20.What is the average of 42, 31, 33, 36 and 13? (a) 31 (b) 30 (c) 33 (d) 32
  21. 21.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 56 (b) 18 (c) 54 (d) 70
  22. 22.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 15 (b) 43 (c) 31 (d) 34
  23. 23.What is the average of all the whole numbers from 59 to 71? (a) 12 (b) 6 (c) 65 (d) 66
  24. 24.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 48? (a) 83 (b) 55 (c) 48 (d) 42
  25. 25.What is the average of 44, 42, 19, 16, 16 and 49? (a) 31 (b) 32 (c) 30 (d) 33
  26. 26.A batter has an average of 34 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 42 (b) 74 (c) 40 (d) 38
  27. 27.What is the average of 45, 24, 25, 27 and 64? (a) 36 (b) 38 (c) 39 (d) 37
  28. 28.What is the average of all the whole numbers from 52 to 70? (a) 18 (b) 9 (c) 62 (d) 61
  29. 29.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 45 (b) 15 (c) 33 (d) 63
  30. 30.What is the average of 41, 52, 34 and 65? (a) 48 (b) 64 (c) 47 (d) 49
  31. 31.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 77 (b) 42 (c) 39 (d) 4
  32. 32.What is the average of all the whole numbers from 5 to 13? (a) 8 (b) 4 (c) 10 (d) 9
  33. 33.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 23 (b) 33 (c) 17 (d) 7
  34. 34.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 25 (b) 55 (c) 35 (d) 45
  35. 35.What is the average of 17, 32, 26, 16 and 9? (a) 19 (b) 20 (c) 21 (d) 25
  36. 36.What is the average of 53, 52, 30 and 37? (a) 45 (b) 44 (c) 42 (d) 43
  37. 37.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 66? (a) 72 (b) 60 (c) 66 (d) 120
  38. 38.What is the average of all the whole numbers from 11 to 49? (a) 19 (b) 38 (c) 31 (d) 30
  39. 39.What is the average of all the whole numbers from 40 to 48? (a) 4 (b) 8 (c) 44 (d) 45
  40. 40.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 40 (c) 64 (d) 88

Answer key

  1. 22
  2. 25
  3. 61
  4. 46
  5. 27
  6. 45
  7. 67
  8. 62
  9. 35
  10. 30
  11. 18
  12. 20
  13. 37
  14. 24
  15. 51
  16. 9
  17. 53
  18. 49
  19. 46
  20. 31
  21. 70
  22. 43
  23. 65
  24. 83
  25. 31
  26. 74
  27. 37
  28. 61
  29. 45
  30. 48
  31. 42
  32. 9
  33. 23
  34. 55
  35. 20
  36. 43
  37. 120
  38. 30
  39. 44
  40. 88

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