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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 905 · 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 41 to 71? (a) 30 (b) 56 (c) 57 (d) 15
  2. 2.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 34 (b) 16 (c) 11 (d) 10
  3. 3.What is the average of 71, 57, 56, 73, 77 and 62? (a) 68 (b) 67 (c) 66 (d) 65
  4. 4.What is the average of all the whole numbers from 47 to 55? (a) 4 (b) 52 (c) 51 (d) 8
  5. 5.What is the average of 10, 26, 14 and 50? (a) 27 (b) 26 (c) 25 (d) 24
  6. 6.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 43 (b) 6 (c) 5 (d) 20
  7. 7.A batter has an average of 32 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 60 (c) 44 (d) 92
  8. 8.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 42? (a) 42 (b) 46 (c) 24 (d) 62
  9. 9.What is the average of 40, 33, 27, 31 and 54? (a) 36 (b) 38 (c) 37 (d) 39
  10. 10.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 40 (b) 48 (c) 38 (d) 12
  11. 11.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 53 (b) 35 (c) 29 (d) 59
  12. 12.What is the average of all the whole numbers from 36 to 50? (a) 44 (b) 43 (c) 7 (d) 14
  13. 13.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 53 (b) 52 (c) 28 (d) 32
  14. 14.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 30? (a) 30 (b) 10 (c) 38 (d) 32
  15. 15.What is the average of all the whole numbers from 35 to 69? (a) 53 (b) 34 (c) 52 (d) 17
  16. 16.What is the average of all the whole numbers from 37 to 61? (a) 24 (b) 12 (c) 49 (d) 50
  17. 17.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 9 (b) 10 (c) 51 (d) 24
  18. 18.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 64 (b) 65 (c) 32 (d) 40
  19. 19.What is the average of 25, 26, 22, 40, 49 and 48? (a) 35 (b) 36 (c) 34 (d) 42
  20. 20.What is the average of all the whole numbers from 57 to 67? (a) 62 (b) 63 (c) 5 (d) 10
  21. 21.What is the average of 44, 65, 51, 51 and 54? (a) 55 (b) 53 (c) 54 (d) 52
  22. 22.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 61? (a) 68 (b) 42 (c) 61 (d) 96
  23. 23.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 12 (b) 44 (c) 41 (d) 50
  24. 24.A batter has an average of 39 runs in 6 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 28 (c) 67 (d) 47
  25. 25.What is the average of 37, 39, 58 and 74? (a) 51 (b) 52 (c) 54 (d) 53
  26. 26.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 30 (b) 26 (c) 61 (d) 27
  27. 27.What is the average of 67, 47, 43, 60 and 48? (a) 53 (b) 54 (c) 55 (d) 52
  28. 28.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 55 (b) 30 (c) 45 (d) 20
  29. 29.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 84 (b) 40 (c) 24 (d) 25
  30. 30.What is the average of 60, 47, 73 and 52? (a) 58 (b) 57 (c) 59 (d) 60
  31. 31.A batter has an average of 39 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 55 (b) 72 (c) 47 (d) 111
  32. 32.What is the average of 73, 51, 51 and 77? (a) 84 (b) 63 (c) 62 (d) 64
  33. 33.What is the average of 52, 54, 74, 59 and 86? (a) 67 (b) 65 (c) 64 (d) 66
  34. 34.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 10 (b) 15 (c) 20 (d) 25
  35. 35.What is the average of 16, 30, 26, 10 and 33? (a) 22 (b) 24 (c) 25 (d) 23
  36. 36.What is the average of all the whole numbers from 60 to 80? (a) 20 (b) 70 (c) 71 (d) 10
  37. 37.What is the average of 25, 16, 18 and 33? (a) 24 (b) 25 (c) 22 (d) 23
  38. 38.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 49 (b) 35 (c) 26 (d) 12
  39. 39.What is the average of 14, 6, 15, 12, 32 and 47? (a) 22 (b) 21 (c) 20 (d) 23
  40. 40.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 32 (b) 62 (c) 27 (d) 40

Answer key

  1. 56
  2. 10
  3. 66
  4. 51
  5. 25
  6. 5
  7. 92
  8. 62
  9. 37
  10. 48
  11. 59
  12. 43
  13. 52
  14. 38
  15. 52
  16. 49
  17. 9
  18. 64
  19. 35
  20. 62
  21. 53
  22. 96
  23. 50
  24. 67
  25. 52
  26. 26
  27. 53
  28. 45
  29. 24
  30. 58
  31. 111
  32. 63
  33. 65
  34. 25
  35. 23
  36. 70
  37. 23
  38. 35
  39. 21
  40. 62

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