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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 411 · 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.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 14 (b) 50 (c) 26 (d) 38
  2. 2.What is the average of 47, 57, 50, 49 and 22? (a) 44 (b) 47 (c) 46 (d) 45
  3. 3.What is the average of 81, 55, 80, 54, 62 and 70? (a) 67 (b) 69 (c) 68 (d) 66
  4. 4.What is the average of all the whole numbers from 50 to 76? (a) 26 (b) 63 (c) 13 (d) 64
  5. 5.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) 55 (b) 45 (c) 35 (d) 25
  6. 6.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 26 (b) 12 (c) 36 (d) 50
  7. 7.A batter has an average of 49 runs in 5 matches. How many runs are needed in the next match to raise the average to 52? (a) 18 (b) 55 (c) 67 (d) 52
  8. 8.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 12 (b) 49 (c) 59 (d) 51
  9. 9.What is the average of all the whole numbers from 35 to 67? (a) 16 (b) 52 (c) 32 (d) 51
  10. 10.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 42 (b) 38 (c) 16 (d) 50
  11. 11.What is the average of 27, 35, 41, 24, 17 and 48? (a) 33 (b) 31 (c) 32 (d) 34
  12. 12.What is the average of 24, 20, 30, 11, 30 and 41? (a) 28 (b) 27 (c) 26 (d) 25
  13. 13.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 8 (b) 7 (c) 28 (d) 13
  14. 14.What is the average of all the whole numbers from 18 to 28? (a) 10 (b) 23 (c) 24 (d) 5
  15. 15.What is the average of all the whole numbers from 34 to 60? (a) 26 (b) 48 (c) 13 (d) 47
  16. 16.What is the average of all the whole numbers from 8 to 42? (a) 34 (b) 17 (c) 26 (d) 25
  17. 17.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 63 (b) 48 (c) 104 (d) 55
  18. 18.What is the average of all the whole numbers from 31 to 47? (a) 8 (b) 39 (c) 40 (d) 16
  19. 19.What is the average of all the whole numbers from 33 to 55? (a) 44 (b) 11 (c) 22 (d) 45
  20. 20.What is the average of all the whole numbers from 29 to 47? (a) 39 (b) 18 (c) 9 (d) 38
  21. 21.What is the average of 23, 24, 42 and 23? (a) 29 (b) 30 (c) 27 (d) 28
  22. 22.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 39 (b) 12 (c) 30 (d) 33
  23. 23.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 25 (b) 59 (c) 29 (d) 24
  24. 24.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 26? (a) 38 (b) 16 (c) 30 (d) 26
  25. 25.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 43? (a) 60 (b) 97 (c) 43 (d) 49
  26. 26.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) 56 (c) 55 (d) 48
  27. 27.What is the average of all the whole numbers from 45 to 57? (a) 6 (b) 52 (c) 51 (d) 12
  28. 28.What is the average of 21, 34, 34 and 7? (a) 25 (b) 23 (c) 32 (d) 24
  29. 29.What is the average of 19, 32, 18 and 43? (a) 27 (b) 30 (c) 29 (d) 28
  30. 30.What is the average of all the whole numbers from 59 to 65? (a) 62 (b) 6 (c) 3 (d) 63
  31. 31.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 36? (a) 40 (b) 24 (c) 36 (d) 56
  32. 32.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 42 (b) 52 (c) 46 (d) 82
  33. 33.A batter has an average of 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 30 (c) 75 (d) 55
  34. 34.What is the average of 73, 63, 81 and 95? (a) 104 (b) 79 (c) 77 (d) 78
  35. 35.What is the average of 42, 42, 64 and 80? (a) 76 (b) 56 (c) 58 (d) 57
  36. 36.A batter has an average of 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 60 (b) 54 (c) 96 (d) 48
  37. 37.What is the average of 75, 61, 55, 64 and 75? (a) 67 (b) 66 (c) 68 (d) 65
  38. 38.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 28? (a) 28 (b) 30 (c) 52 (d) 34
  39. 39.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 39? (a) 27 (b) 63 (c) 39 (d) 42
  40. 40.What is the average of 47, 31, 33 and 49? (a) 42 (b) 39 (c) 40 (d) 41

Answer key

  1. 38
  2. 45
  3. 67
  4. 63
  5. 55
  6. 36
  7. 67
  8. 59
  9. 51
  10. 50
  11. 32
  12. 26
  13. 7
  14. 23
  15. 47
  16. 25
  17. 104
  18. 39
  19. 44
  20. 38
  21. 28
  22. 39
  23. 24
  24. 38
  25. 97
  26. 97
  27. 51
  28. 24
  29. 28
  30. 62
  31. 56
  32. 82
  33. 75
  34. 78
  35. 57
  36. 96
  37. 66
  38. 52
  39. 63
  40. 40

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