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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 514 · 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 41, 37, 46, 44, 46 and 32? (a) 42 (b) 40 (c) 43 (d) 41
  2. 2.What is the average of all the whole numbers from 35 to 71? (a) 36 (b) 53 (c) 54 (d) 18
  3. 3.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 37 (b) 61 (c) 33 (d) 32
  4. 4.A batter has an average of 42 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 52 (b) 92 (c) 47 (d) 50
  5. 5.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 32 (c) 84 (d) 68
  6. 6.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 41 (c) 59 (d) 24
  7. 7.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 22 (b) 30 (c) 62 (d) 23
  8. 8.What is the average of all the whole numbers from 56 to 62? (a) 3 (b) 59 (c) 6 (d) 60
  9. 9.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 62 (b) 72 (c) 54 (d) 118
  10. 10.What is the average of all the whole numbers from 33 to 65? (a) 32 (b) 50 (c) 16 (d) 49
  11. 11.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 53 (b) 28 (c) 30 (d) 33
  12. 12.What is the average of 34, 22, 44, 33, 33 and 56? (a) 38 (b) 37 (c) 36 (d) 39
  13. 13.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 14 (b) 58 (c) 28 (d) 15
  14. 14.What is the average of all the whole numbers from 20 to 40? (a) 30 (b) 31 (c) 10 (d) 20
  15. 15.What is the average of all the whole numbers from 6 to 42? (a) 36 (b) 25 (c) 18 (d) 24
  16. 16.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 46 (b) 25 (c) 26 (d) 47
  17. 17.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 41 (b) 32 (c) 85 (d) 33
  18. 18.What is the average of all the whole numbers from 11 to 35? (a) 22 (b) 12 (c) 23 (d) 24
  19. 19.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 59 (b) 53 (c) 8 (d) 55
  20. 20.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 48 (b) 38 (c) 74 (d) 32
  21. 21.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 63 (b) 30 (c) 19 (d) 18
  22. 22.What is the average of all the whole numbers from 57 to 71? (a) 7 (b) 64 (c) 65 (d) 14
  23. 23.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 32 (b) 25 (c) 12 (d) 19
  24. 24.What is the average of 65, 70, 75 and 62? (a) 70 (b) 69 (c) 67 (d) 68
  25. 25.What is the average of all the whole numbers from 54 to 66? (a) 12 (b) 60 (c) 61 (d) 6
  26. 26.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 68 (b) 45 (c) 12 (d) 35
  27. 27.What is the average of 40, 22, 31, 31, 25 and 7? (a) 25 (b) 27 (c) 28 (d) 26
  28. 28.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 17 (b) 28 (c) 59 (d) 16
  29. 29.What is the average of all the whole numbers from 38 to 64? (a) 52 (b) 51 (c) 26 (d) 13
  30. 30.What is the average of all the whole numbers from 60 to 94? (a) 78 (b) 77 (c) 17 (d) 34
  31. 31.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 20 (b) 50 (c) 40 (d) 35
  32. 32.What is the average of all the whole numbers from 6 to 18? (a) 13 (b) 11 (c) 6 (d) 12
  33. 33.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 31? (a) 37 (b) 36 (c) 31 (d) 61
  34. 34.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 45 (c) 14 (d) 35
  35. 35.A batter has an average of 20 runs in 6 matches. How many runs are needed in the next match to raise the average to 26? (a) 32 (b) 62 (c) 26 (d) 42
  36. 36.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 68 (b) 61 (c) 33 (d) 40
  37. 37.What is the average of 17, 22, 36 and 25? (a) 26 (b) 27 (c) 25 (d) 24
  38. 38.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 26 (b) 32 (c) 15 (d) 43
  39. 39.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 35 (b) 4 (c) 69 (d) 38
  40. 40.What is the average of all the whole numbers from 16 to 34? (a) 9 (b) 18 (c) 26 (d) 25

Answer key

  1. 41
  2. 53
  3. 61
  4. 92
  5. 84
  6. 59
  7. 22
  8. 59
  9. 118
  10. 49
  11. 53
  12. 37
  13. 14
  14. 30
  15. 24
  16. 46
  17. 32
  18. 23
  19. 59
  20. 74
  21. 18
  22. 64
  23. 32
  24. 68
  25. 60
  26. 45
  27. 26
  28. 16
  29. 51
  30. 77
  31. 50
  32. 12
  33. 61
  34. 45
  35. 62
  36. 68
  37. 25
  38. 43
  39. 38
  40. 25

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