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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 61 · 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 36 to 66? (a) 52 (b) 30 (c) 15 (d) 51
  2. 2.What is the average of 48, 32, 22, 31, 30 and 41? (a) 34 (b) 36 (c) 33 (d) 35
  3. 3.What is the average of all the whole numbers from 40 to 62? (a) 11 (b) 51 (c) 22 (d) 52
  4. 4.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 16 (b) 52 (c) 76 (d) 40
  5. 5.What is the average of 63, 38, 37, 64, 55 and 43? (a) 50 (b) 51 (c) 60 (d) 49
  6. 6.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 14 (b) 28 (c) 38 (d) 24
  7. 7.What is the average of all the whole numbers from 54 to 76? (a) 22 (b) 11 (c) 66 (d) 65
  8. 8.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 24? (a) 10 (b) 26 (c) 24 (d) 32
  9. 9.What is the average of 36, 30, 25 and 21? (a) 29 (b) 27 (c) 30 (d) 28
  10. 10.What is the average of 28, 38, 46, 40 and 8? (a) 32 (b) 33 (c) 31 (d) 40
  11. 11.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 50 (b) 38 (c) 41 (d) 15
  12. 12.A batter has an average of 60 runs in 5 matches. How many runs are needed in the next match to raise the average to 63? (a) 18 (b) 78 (c) 63 (d) 66
  13. 13.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 39? (a) 74 (b) 44 (c) 40 (d) 39
  14. 14.What is the average of 37, 37, 64 and 58? (a) 48 (b) 49 (c) 51 (d) 50
  15. 15.What is the average of 33, 38, 27 and 2? (a) 26 (b) 24 (c) 25 (d) 27
  16. 16.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 29 (b) 14 (c) 11 (d) 12
  17. 17.What is the average of 56, 51, 51 and 90? (a) 63 (b) 62 (c) 64 (d) 61
  18. 18.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 43 (b) 35 (c) 75 (d) 48
  19. 19.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 32 (b) 86 (c) 45 (d) 73
  20. 20.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 43 (b) 63 (c) 24 (d) 82
  21. 21.What is the average of all the whole numbers from 22 to 40? (a) 32 (b) 9 (c) 31 (d) 18
  22. 22.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 66 (b) 35 (c) 16 (d) 47
  23. 23.What is the average of 62, 54, 55 and 93? (a) 67 (b) 88 (c) 65 (d) 66
  24. 24.What is the average of all the whole numbers from 15 to 49? (a) 17 (b) 33 (c) 34 (d) 32
  25. 25.What is the average of all the whole numbers from 60 to 88? (a) 74 (b) 14 (c) 28 (d) 75
  26. 26.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 65 (b) 20 (c) 61 (d) 77
  27. 27.What is the average of all the whole numbers from 17 to 29? (a) 6 (b) 23 (c) 12 (d) 24
  28. 28.What is the average of 45, 58, 44, 60 and 78? (a) 59 (b) 57 (c) 58 (d) 56
  29. 29.What is the average of all the whole numbers from 49 to 69? (a) 60 (b) 59 (c) 10 (d) 20
  30. 30.A batter has an average of 48 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 120 (b) 56 (c) 64 (d) 72
  31. 31.What is the average of all the whole numbers from 47 to 53? (a) 51 (b) 50 (c) 3 (d) 6
  32. 32.What is the average of all the whole numbers from 18 to 52? (a) 36 (b) 17 (c) 34 (d) 35
  33. 33.What is the average of all the whole numbers from 56 to 90? (a) 74 (b) 73 (c) 17 (d) 34
  34. 34.What is the average of 82, 73, 58, 73, 60 and 56? (a) 68 (b) 66 (c) 67 (d) 69
  35. 35.What is the average of all the whole numbers from 24 to 50? (a) 13 (b) 37 (c) 38 (d) 26
  36. 36.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 34? (a) 40 (b) 30 (c) 34 (d) 58
  37. 37.What is the average of all the whole numbers from 23 to 39? (a) 31 (b) 16 (c) 32 (d) 8
  38. 38.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 58 (b) 34 (c) 27 (d) 37
  39. 39.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 46 (c) 55 (d) 15
  40. 40.A batter has an average of 35 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 28 (c) 43 (d) 63

Answer key

  1. 51
  2. 34
  3. 51
  4. 52
  5. 50
  6. 38
  7. 65
  8. 32
  9. 28
  10. 32
  11. 50
  12. 78
  13. 74
  14. 49
  15. 25
  16. 11
  17. 62
  18. 75
  19. 73
  20. 63
  21. 31
  22. 47
  23. 66
  24. 32
  25. 74
  26. 77
  27. 23
  28. 57
  29. 59
  30. 120
  31. 50
  32. 35
  33. 73
  34. 67
  35. 37
  36. 58
  37. 31
  38. 58
  39. 55
  40. 63

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