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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 138 · 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 70? (a) 64 (b) 65 (c) 6 (d) 12
  2. 2.What is the average of 75, 86, 71, 59, 75 and 72? (a) 72 (b) 73 (c) 75 (d) 74
  3. 3.What is the average of 19, 26, 20, 28, 28 and 53? (a) 31 (b) 28 (c) 29 (d) 30
  4. 4.A batter has an average of 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 64? (a) 40 (b) 64 (c) 72 (d) 96
  5. 5.What is the average of all the whole numbers from 54 to 66? (a) 61 (b) 6 (c) 60 (d) 12
  6. 6.What is the average of 31, 49, 40 and 64? (a) 46 (b) 45 (c) 48 (d) 47
  7. 7.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 27? (a) 12 (b) 36 (c) 30 (d) 27
  8. 8.What is the average of 46, 41, 53 and 64? (a) 52 (b) 68 (c) 51 (d) 50
  9. 9.A batter has an average of 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 53 (b) 63 (c) 51 (d) 14
  10. 10.What is the average of 52, 50, 39, 34 and 20? (a) 40 (b) 38 (c) 41 (d) 39
  11. 11.What is the average of all the whole numbers from 14 to 26? (a) 21 (b) 6 (c) 12 (d) 20
  12. 12.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 33? (a) 81 (b) 39 (c) 33 (d) 54
  13. 13.What is the average of 56, 68, 58 and 90? (a) 70 (b) 69 (c) 67 (d) 68
  14. 14.What is the average of 29, 13, 35 and 3? (a) 22 (b) 19 (c) 20 (d) 21
  15. 15.What is the average of all the whole numbers from 18 to 56? (a) 38 (b) 36 (c) 19 (d) 37
  16. 16.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 48 (b) 12 (c) 38 (d) 74
  17. 17.What is the average of all the whole numbers from 45 to 81? (a) 36 (b) 18 (c) 64 (d) 63
  18. 18.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 52 (b) 32 (c) 37 (d) 25
  19. 19.What is the average of 44, 64, 47, 56, 45 and 80? (a) 55 (b) 57 (c) 56 (d) 58
  20. 20.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 4 (b) 10 (c) 22 (d) 5
  21. 21.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 95 (b) 41 (c) 42 (d) 47
  22. 22.What is the average of 70, 59, 82, 79 and 70? (a) 90 (b) 73 (c) 72 (d) 71
  23. 23.What is the average of all the whole numbers from 9 to 39? (a) 25 (b) 24 (c) 15 (d) 30
  24. 24.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 79 (b) 30 (c) 37 (d) 56
  25. 25.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) 32 (b) 33 (c) 61 (d) 37
  26. 26.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 65 (b) 57 (c) 16 (d) 53
  27. 27.What is the average of 21, 23, 50, 21 and 60? (a) 34 (b) 37 (c) 36 (d) 35
  28. 28.What is the average of all the whole numbers from 12 to 42? (a) 28 (b) 27 (c) 15 (d) 30
  29. 29.What is the average of all the whole numbers from 12 to 18? (a) 6 (b) 16 (c) 15 (d) 3
  30. 30.What is the average of all the whole numbers from 10 to 38? (a) 14 (b) 28 (c) 24 (d) 25
  31. 31.What is the average of all the whole numbers from 58 to 88? (a) 30 (b) 74 (c) 15 (d) 73
  32. 32.What is the average of 45, 26, 32, 34, 34 and 27? (a) 32 (b) 33 (c) 34 (d) 35
  33. 33.What is the average of 59, 56, 44, 62 and 49? (a) 53 (b) 54 (c) 56 (d) 55
  34. 34.What is the average of 23, 32, 40 and 37? (a) 44 (b) 34 (c) 33 (d) 32
  35. 35.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 65 (b) 14 (c) 31 (d) 13
  36. 36.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 40 (b) 31 (c) 18 (d) 53
  37. 37.What is the average of all the whole numbers from 24 to 30? (a) 6 (b) 27 (c) 28 (d) 3
  38. 38.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 51 (b) 12 (c) 41 (d) 80
  39. 39.What is the average of all the whole numbers from 10 to 50? (a) 20 (b) 40 (c) 31 (d) 30
  40. 40.What is the average of 63, 47, 67 and 35? (a) 53 (b) 55 (c) 52 (d) 54

Answer key

  1. 64
  2. 73
  3. 29
  4. 96
  5. 60
  6. 46
  7. 36
  8. 51
  9. 63
  10. 39
  11. 20
  12. 81
  13. 68
  14. 20
  15. 37
  16. 48
  17. 63
  18. 52
  19. 56
  20. 4
  21. 41
  22. 72
  23. 24
  24. 79
  25. 61
  26. 65
  27. 35
  28. 27
  29. 15
  30. 24
  31. 73
  32. 33
  33. 54
  34. 33
  35. 13
  36. 53
  37. 27
  38. 51
  39. 30
  40. 53

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