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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 277 · 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 23, 40, 27, 26, 32 and 62? (a) 35 (b) 42 (c) 36 (d) 34
  2. 2.What is the average of 43, 68, 65 and 40? (a) 72 (b) 53 (c) 54 (d) 55
  3. 3.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 46 (b) 40 (c) 79 (d) 7
  4. 4.What is the average of all the whole numbers from 41 to 59? (a) 18 (b) 9 (c) 50 (d) 51
  5. 5.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 35 (c) 44 (d) 65
  6. 6.What is the average of 39, 33, 57, 62, 39 and 52? (a) 47 (b) 49 (c) 46 (d) 48
  7. 7.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 49? (a) 73 (b) 30 (c) 55 (d) 49
  8. 8.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 83 (b) 40 (c) 23 (d) 22
  9. 9.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 7 (b) 41 (c) 21 (d) 27
  10. 10.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 30 (b) 38 (c) 29 (d) 79
  11. 11.What is the average of 27, 25, 24, 37, 19 and 42? (a) 30 (b) 28 (c) 31 (d) 29
  12. 12.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 14 (c) 35 (d) 25
  13. 13.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 48 (b) 34 (c) 18 (d) 32
  14. 14.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 49 (b) 44 (c) 20 (d) 59
  15. 15.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 60 (b) 55 (c) 75 (d) 25
  16. 16.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 19 (b) 5 (c) 10 (d) 14
  17. 17.What is the average of all the whole numbers from 55 to 65? (a) 61 (b) 10 (c) 60 (d) 5
  18. 18.What is the average of all the whole numbers from 26 to 54? (a) 41 (b) 40 (c) 28 (d) 14
  19. 19.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 32 (b) 37 (c) 20 (d) 15
  20. 20.What is the average of 58, 57, 59, 44, 53 and 53? (a) 54 (b) 56 (c) 53 (d) 55
  21. 21.What is the average of 45, 48, 47, 38 and 52? (a) 46 (b) 48 (c) 47 (d) 45
  22. 22.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 84 (b) 16 (c) 57 (d) 43
  23. 23.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 66 (b) 16 (c) 54 (d) 58
  24. 24.What is the average of 37, 44, 39, 44, 62 and 62? (a) 48 (b) 47 (c) 50 (d) 49
  25. 25.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 67? (a) 95 (b) 35 (c) 74 (d) 67
  26. 26.What is the average of all the whole numbers from 16 to 40? (a) 28 (b) 24 (c) 12 (d) 29
  27. 27.What is the average of all the whole numbers from 42 to 64? (a) 22 (b) 11 (c) 54 (d) 53
  28. 28.What is the average of all the whole numbers from 23 to 63? (a) 40 (b) 20 (c) 44 (d) 43
  29. 29.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 25 (b) 48 (c) 68 (d) 91
  30. 30.What is the average of all the whole numbers from 46 to 64? (a) 18 (b) 9 (c) 55 (d) 56
  31. 31.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 50 (b) 73 (c) 38 (d) 15
  32. 32.What is the average of all the whole numbers from 13 to 19? (a) 17 (b) 3 (c) 6 (d) 16
  33. 33.A batter has an average of 41 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 97 (b) 48 (c) 56 (d) 55
  34. 34.What is the average of all the whole numbers from 58 to 74? (a) 16 (b) 66 (c) 67 (d) 8
  35. 35.A batter has an average of 40 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 24 (c) 48 (d) 64
  36. 36.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 27 (b) 33 (c) 15 (d) 21
  37. 37.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 65 (b) 28 (c) 44 (d) 51
  38. 38.What is the average of all the whole numbers from 49 to 77? (a) 28 (b) 64 (c) 63 (d) 14
  39. 39.What is the average of 53, 51, 61 and 87? (a) 84 (b) 63 (c) 62 (d) 64
  40. 40.What is the average of 12, 27, 24 and 21? (a) 28 (b) 20 (c) 21 (d) 22

Answer key

  1. 35
  2. 54
  3. 46
  4. 50
  5. 65
  6. 47
  7. 73
  8. 22
  9. 27
  10. 29
  11. 29
  12. 35
  13. 48
  14. 59
  15. 75
  16. 14
  17. 60
  18. 40
  19. 32
  20. 54
  21. 46
  22. 57
  23. 66
  24. 48
  25. 95
  26. 28
  27. 53
  28. 43
  29. 68
  30. 55
  31. 50
  32. 16
  33. 97
  34. 66
  35. 64
  36. 33
  37. 65
  38. 63
  39. 63
  40. 21

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