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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 401 · 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.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 33 (c) 12 (d) 41
  2. 2.What is the average of 42, 39, 32, 39, 27 and 55? (a) 39 (b) 41 (c) 40 (d) 38
  3. 3.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 41 (b) 80 (c) 10 (d) 49
  4. 4.What is the average of 64, 59, 72, 49 and 71? (a) 64 (b) 62 (c) 63 (d) 65
  5. 5.What is the average of 67, 52, 74, 76 and 51? (a) 64 (b) 63 (c) 80 (d) 65
  6. 6.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 26 (b) 31 (c) 6 (d) 51
  7. 7.What is the average of all the whole numbers from 52 to 70? (a) 62 (b) 9 (c) 18 (d) 61
  8. 8.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 48 (b) 18 (c) 17 (d) 23
  9. 9.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 45 (c) 61 (d) 32
  10. 10.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 37 (b) 8 (c) 79 (d) 7
  11. 11.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 52 (c) 12 (d) 58
  12. 12.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 63? (a) 105 (b) 70 (c) 49 (d) 63
  13. 13.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 16 (b) 58 (c) 44 (d) 30
  14. 14.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 31 (b) 6 (c) 7 (d) 67
  15. 15.What is the average of 82, 91, 76 and 63? (a) 77 (b) 104 (c) 79 (d) 78
  16. 16.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 54? (a) 54 (b) 42 (c) 61 (d) 89
  17. 17.What is the average of 43, 43, 36, 57 and 36? (a) 43 (b) 42 (c) 44 (d) 45
  18. 18.What is the average of 85, 82, 68, 64, 70 and 63? (a) 72 (b) 74 (c) 73 (d) 71
  19. 19.What is the average of all the whole numbers from 33 to 69? (a) 51 (b) 18 (c) 52 (d) 36
  20. 20.A batter has an average of 45 runs in 9 matches. How many runs are needed in the next match to raise the average to 50? (a) 55 (b) 95 (c) 96 (d) 50
  21. 21.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 55 (c) 15 (d) 64
  22. 22.What is the average of all the whole numbers from 13 to 21? (a) 18 (b) 8 (c) 17 (d) 4
  23. 23.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 44 (b) 50 (c) 101 (d) 45
  24. 24.What is the average of 30, 42, 44, 37, 40 and 17? (a) 34 (b) 42 (c) 35 (d) 36
  25. 25.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 20 (b) 19 (c) 47 (d) 23
  26. 26.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 81 (b) 41 (c) 56 (d) 33
  27. 27.What is the average of all the whole numbers from 17 to 47? (a) 33 (b) 30 (c) 15 (d) 32
  28. 28.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 21 (c) 51 (d) 36
  29. 29.What is the average of 56, 76, 52 and 80? (a) 67 (b) 88 (c) 66 (d) 65
  30. 30.What is the average of all the whole numbers from 57 to 69? (a) 6 (b) 12 (c) 63 (d) 64
  31. 31.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 29 (b) 56 (c) 14 (d) 41
  32. 32.What is the average of 36, 18, 41, 16, 29 and 40? (a) 30 (b) 31 (c) 36 (d) 29
  33. 33.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 37 (b) 31 (c) 30 (d) 75
  34. 34.What is the average of 35, 34, 12, 25 and 14? (a) 30 (b) 25 (c) 23 (d) 24
  35. 35.A batter has an average of 56 runs in 5 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 98 (c) 42 (d) 70
  36. 36.What is the average of 9, 37, 12, 36 and 26? (a) 30 (b) 23 (c) 24 (d) 25
  37. 37.What is the average of 34, 44, 34 and 40? (a) 40 (b) 37 (c) 38 (d) 39
  38. 38.What is the average of all the whole numbers from 13 to 25? (a) 20 (b) 19 (c) 12 (d) 6
  39. 39.What is the average of all the whole numbers from 20 to 28? (a) 8 (b) 4 (c) 24 (d) 25
  40. 40.What is the average of all the whole numbers from 35 to 43? (a) 8 (b) 4 (c) 39 (d) 40

Answer key

  1. 41
  2. 39
  3. 49
  4. 63
  5. 64
  6. 31
  7. 61
  8. 17
  9. 61
  10. 7
  11. 58
  12. 105
  13. 44
  14. 6
  15. 78
  16. 89
  17. 43
  18. 72
  19. 51
  20. 95
  21. 64
  22. 17
  23. 44
  24. 35
  25. 19
  26. 81
  27. 32
  28. 51
  29. 66
  30. 63
  31. 41
  32. 30
  33. 30
  34. 24
  35. 98
  36. 24
  37. 38
  38. 19
  39. 24
  40. 39

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