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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 901 · 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 20 to 42? (a) 11 (b) 31 (c) 32 (d) 22
  2. 2.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 68 (c) 48 (d) 104
  3. 3.What is the average of all the whole numbers from 54 to 78? (a) 67 (b) 24 (c) 66 (d) 12
  4. 4.What is the average of 70, 58, 71, 49 and 37? (a) 56 (b) 57 (c) 59 (d) 58
  5. 5.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 8 (c) 59 (d) 63
  6. 6.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 33? (a) 53 (b) 33 (c) 25 (d) 38
  7. 7.What is the average of 34, 31, 28, 43 and 79? (a) 42 (b) 44 (c) 43 (d) 45
  8. 8.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 35 (b) 40 (c) 82 (d) 34
  9. 9.What is the average of all the whole numbers from 12 to 40? (a) 26 (b) 28 (c) 27 (d) 14
  10. 10.What is the average of 63, 71, 56, 56 and 59? (a) 63 (b) 62 (c) 61 (d) 60
  11. 11.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 6 (b) 20 (c) 15 (d) 29
  12. 12.What is the average of 13, 23, 38, 31 and 35? (a) 27 (b) 29 (c) 35 (d) 28
  13. 13.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 79 (b) 21 (c) 20 (d) 38
  14. 14.What is the average of all the whole numbers from 24 to 64? (a) 44 (b) 40 (c) 45 (d) 20
  15. 15.What is the average of all the whole numbers from 29 to 39? (a) 34 (b) 5 (c) 10 (d) 35
  16. 16.What is the average of all the whole numbers from 11 to 41? (a) 27 (b) 15 (c) 30 (d) 26
  17. 17.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 55? (a) 56 (b) 104 (c) 62 (d) 55
  18. 18.What is the average of 26, 26, 39, 29, 40 and 20? (a) 31 (b) 29 (c) 30 (d) 36
  19. 19.What is the average of 43, 51, 34, 55, 55 and 44? (a) 47 (b) 48 (c) 49 (d) 46
  20. 20.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 20 (b) 35 (c) 50 (d) 51
  21. 21.What is the average of all the whole numbers from 33 to 49? (a) 41 (b) 16 (c) 42 (d) 8
  22. 22.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 68 (b) 56 (c) 50 (d) 24
  23. 23.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 43? (a) 18 (b) 45 (c) 43 (d) 59
  24. 24.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 55 (c) 73 (d) 24
  25. 25.What is the average of all the whole numbers from 11 to 47? (a) 36 (b) 30 (c) 29 (d) 18
  26. 26.What is the average of all the whole numbers from 16 to 26? (a) 21 (b) 5 (c) 10 (d) 22
  27. 27.What is the average of all the whole numbers from 35 to 59? (a) 24 (b) 48 (c) 12 (d) 47
  28. 28.The average of 5 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) 30 (d) 25
  29. 29.What is the average of all the whole numbers from 12 to 24? (a) 12 (b) 6 (c) 18 (d) 19
  30. 30.What is the average of 58, 42, 57, 49, 60 and 70? (a) 58 (b) 56 (c) 55 (d) 57
  31. 31.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 12 (b) 30 (c) 28 (d) 38
  32. 32.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 25 (b) 38 (c) 24 (d) 78
  33. 33.What is the average of 64, 39, 61, 59, 65 and 12? (a) 60 (b) 51 (c) 49 (d) 50
  34. 34.What is the average of 12, 26, 38, 10 and 29? (a) 23 (b) 24 (c) 22 (d) 25
  35. 35.What is the average of all the whole numbers from 43 to 73? (a) 30 (b) 15 (c) 58 (d) 59
  36. 36.What is the average of all the whole numbers from 23 to 57? (a) 40 (b) 17 (c) 41 (d) 34
  37. 37.What is the average of all the whole numbers from 13 to 47? (a) 31 (b) 17 (c) 34 (d) 30
  38. 38.What is the average of all the whole numbers from 13 to 19? (a) 17 (b) 6 (c) 16 (d) 3
  39. 39.What is the average of all the whole numbers from 18 to 28? (a) 23 (b) 10 (c) 24 (d) 5
  40. 40.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 20 (b) 59 (c) 61 (d) 77

Answer key

  1. 31
  2. 104
  3. 66
  4. 57
  5. 63
  6. 53
  7. 43
  8. 34
  9. 26
  10. 61
  11. 20
  12. 28
  13. 20
  14. 44
  15. 34
  16. 26
  17. 104
  18. 30
  19. 47
  20. 50
  21. 41
  22. 68
  23. 59
  24. 73
  25. 29
  26. 21
  27. 47
  28. 30
  29. 18
  30. 56
  31. 38
  32. 24
  33. 50
  34. 23
  35. 58
  36. 40
  37. 30
  38. 16
  39. 23
  40. 77

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