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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 168 · 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 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 35 (b) 66 (c) 67 (d) 36
  2. 2.What is the average of 17, 11, 26 and 34? (a) 21 (b) 24 (c) 22 (d) 23
  3. 3.What is the average of 45, 25, 20, 42 and 38? (a) 35 (b) 33 (c) 34 (d) 36
  4. 4.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 11 (b) 19 (c) 10 (d) 41
  5. 5.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 21 (b) 18 (c) 36 (d) 39
  6. 6.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) 85 (c) 32 (d) 33
  7. 7.A batter has an average of 56 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 76 (c) 60 (d) 20
  8. 8.What is the average of 44, 21, 36 and 27? (a) 33 (b) 34 (c) 32 (d) 31
  9. 9.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 29? (a) 34 (b) 49 (c) 25 (d) 29
  10. 10.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 48? (a) 51 (b) 63 (c) 48 (d) 18
  11. 11.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 32 (b) 39 (c) 47 (d) 63
  12. 12.What is the average of 21, 37, 17 and 29? (a) 28 (b) 25 (c) 26 (d) 27
  13. 13.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 35 (c) 57 (d) 56
  14. 14.What is the average of all the whole numbers from 23 to 33? (a) 28 (b) 29 (c) 10 (d) 5
  15. 15.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 12 (b) 21 (c) 24 (d) 33
  16. 16.What is the average of all the whole numbers from 17 to 53? (a) 36 (b) 34 (c) 18 (d) 35
  17. 17.What is the average of all the whole numbers from 10 to 40? (a) 25 (b) 26 (c) 15 (d) 30
  18. 18.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 39 (c) 8 (d) 35
  19. 19.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 17 (b) 12 (c) 35 (d) 13
  20. 20.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 73 (b) 34 (c) 36 (d) 33
  21. 21.What is the average of all the whole numbers from 59 to 91? (a) 32 (b) 16 (c) 76 (d) 75
  22. 22.What is the average of all the whole numbers from 24 to 58? (a) 34 (b) 41 (c) 42 (d) 17
  23. 23.What is the average of all the whole numbers from 29 to 67? (a) 49 (b) 48 (c) 38 (d) 19
  24. 24.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) 43 (c) 49 (d) 97
  25. 25.What is the average of 59, 55, 58, 64 and 69? (a) 63 (b) 62 (c) 60 (d) 61
  26. 26.What is the average of all the whole numbers from 14 to 36? (a) 26 (b) 25 (c) 11 (d) 22
  27. 27.A batter has an average of 44 runs in 6 matches. How many runs are needed in the next match to raise the average to 49? (a) 35 (b) 49 (c) 79 (d) 54
  28. 28.What is the average of all the whole numbers from 45 to 63? (a) 54 (b) 18 (c) 9 (d) 55
  29. 29.A batter has an average of 51 runs in 8 matches. How many runs are needed in the next match to raise the average to 57? (a) 63 (b) 54 (c) 105 (d) 57
  30. 30.What is the average of 67, 75, 71, 80 and 72? (a) 72 (b) 75 (c) 74 (d) 73
  31. 31.What is the average of all the whole numbers from 5 to 11? (a) 8 (b) 3 (c) 6 (d) 9
  32. 32.What is the average of all the whole numbers from 60 to 66? (a) 64 (b) 3 (c) 6 (d) 63
  33. 33.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 55 (b) 39 (c) 35 (d) 24
  34. 34.What is the average of 27, 35, 45, 28 and 60? (a) 38 (b) 40 (c) 41 (d) 39
  35. 35.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 22 (b) 42 (c) 10 (d) 30
  36. 36.What is the average of 35, 11, 32, 25, 30 and 5? (a) 24 (b) 25 (c) 22 (d) 23
  37. 37.A batter has an average of 45 runs in 6 matches. How many runs are needed in the next match to raise the average to 49? (a) 28 (b) 73 (c) 53 (d) 49
  38. 38.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 13 (b) 62 (c) 14 (d) 29
  39. 39.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 32? (a) 34 (b) 32 (c) 10 (d) 40
  40. 40.What is the average of 49, 30, 22, 32 and 42? (a) 36 (b) 34 (c) 35 (d) 37

Answer key

  1. 66
  2. 22
  3. 34
  4. 10
  5. 36
  6. 32
  7. 76
  8. 32
  9. 49
  10. 63
  11. 63
  12. 26
  13. 56
  14. 28
  15. 33
  16. 35
  17. 25
  18. 39
  19. 12
  20. 33
  21. 75
  22. 41
  23. 48
  24. 97
  25. 61
  26. 25
  27. 79
  28. 54
  29. 105
  30. 73
  31. 8
  32. 63
  33. 55
  34. 39
  35. 30
  36. 23
  37. 73
  38. 13
  39. 40
  40. 35

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