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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 747 · 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 58 to 86? (a) 28 (b) 72 (c) 14 (d) 73
  2. 2.What is the average of 45, 26, 22 and 51? (a) 37 (b) 35 (c) 36 (d) 48
  3. 3.What is the average of all the whole numbers from 30 to 66? (a) 48 (b) 18 (c) 49 (d) 36
  4. 4.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 48 (c) 54 (d) 10
  5. 5.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 34 (b) 70 (c) 26 (d) 27
  6. 6.What is the average of 37, 48, 29 and 54? (a) 42 (b) 43 (c) 56 (d) 41
  7. 7.What is the average of all the whole numbers from 11 to 25? (a) 14 (b) 19 (c) 7 (d) 18
  8. 8.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 47? (a) 53 (b) 54 (c) 47 (d) 95
  9. 9.What is the average of all the whole numbers from 40 to 46? (a) 44 (b) 43 (c) 3 (d) 6
  10. 10.What is the average of 48, 76, 76, 65 and 45? (a) 61 (b) 63 (c) 64 (d) 62
  11. 11.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 15 (c) 53 (d) 44
  12. 12.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 75 (b) 20 (c) 35 (d) 21
  13. 13.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 64? (a) 63 (b) 120 (c) 71 (d) 64
  14. 14.What is the average of all the whole numbers from 57 to 63? (a) 60 (b) 6 (c) 61 (d) 3
  15. 15.What is the average of 30, 31, 27, 36, 24 and 74? (a) 39 (b) 36 (c) 37 (d) 38
  16. 16.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 54 (b) 16 (c) 26 (d) 17
  17. 17.What is the average of 14, 9, 38, 14 and 40? (a) 24 (b) 25 (c) 22 (d) 23
  18. 18.What is the average of 47, 55, 45 and 77? (a) 58 (b) 57 (c) 55 (d) 56
  19. 19.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 62 (b) 28 (c) 55 (d) 76
  20. 20.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 16 (b) 45 (c) 41 (d) 53
  21. 21.What is the average of all the whole numbers from 36 to 54? (a) 9 (b) 46 (c) 45 (d) 18
  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 34? (a) 41 (b) 28 (c) 55 (d) 34
  23. 23.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 95 (b) 25 (c) 46 (d) 26
  24. 24.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 26? (a) 32 (b) 28 (c) 8 (d) 26
  25. 25.A batter has an average of 33 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 53 (b) 35 (c) 20 (d) 37
  26. 26.What is the average of 63, 79, 76 and 66? (a) 70 (b) 72 (c) 71 (d) 73
  27. 27.What is the average of all the whole numbers from 57 to 77? (a) 68 (b) 67 (c) 10 (d) 20
  28. 28.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 40 (b) 35 (c) 20 (d) 25
  29. 29.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 22 (b) 42 (c) 24 (d) 40
  30. 30.What is the average of all the whole numbers from 28 to 68? (a) 49 (b) 20 (c) 48 (d) 40
  31. 31.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 44 (c) 62 (d) 24
  32. 32.What is the average of all the whole numbers from 14 to 24? (a) 5 (b) 19 (c) 10 (d) 20
  33. 33.What is the average of 36, 51, 26, 43, 49 and 23? (a) 39 (b) 40 (c) 37 (d) 38
  34. 34.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 43 (b) 37 (c) 30 (d) 61
  35. 35.What is the average of all the whole numbers from 36 to 64? (a) 28 (b) 14 (c) 51 (d) 50
  36. 36.What is the average of all the whole numbers from 9 to 17? (a) 4 (b) 14 (c) 13 (d) 8
  37. 37.What is the average of all the whole numbers from 27 to 61? (a) 34 (b) 44 (c) 45 (d) 17
  38. 38.What is the average of 73, 68, 65 and 114? (a) 80 (b) 82 (c) 81 (d) 79
  39. 39.What is the average of all the whole numbers from 22 to 32? (a) 27 (b) 28 (c) 5 (d) 10
  40. 40.What is the average of 36, 38, 61 and 49? (a) 47 (b) 46 (c) 45 (d) 48

Answer key

  1. 72
  2. 36
  3. 48
  4. 54
  5. 26
  6. 42
  7. 18
  8. 95
  9. 43
  10. 62
  11. 53
  12. 20
  13. 120
  14. 60
  15. 37
  16. 16
  17. 23
  18. 56
  19. 76
  20. 53
  21. 45
  22. 55
  23. 25
  24. 32
  25. 53
  26. 71
  27. 67
  28. 40
  29. 42
  30. 48
  31. 62
  32. 19
  33. 38
  34. 61
  35. 50
  36. 13
  37. 44
  38. 80
  39. 27
  40. 46

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