In her own mind, Miss Buckingham was of opinion that Monica Beauchamp was entirely innocent; and she could not but feel that suspicion strongly rested upon Lily Howell, although the latter had feigned entire ignorance of the matter; for her changing colour belied her words. The truth was arrived at in a singular and indisputable way after all. When correcting the arithmetic papers, late that afternoon, in the teacher’s room, Miss Churchill found some most astonishing blunders in Lily Howell’s calculations. For some time she was mystified, and then it dawned upon her what had happened. "Why, the girl’s cubic measure is all wrong. No less than three times she has put down 1278 cubic inches instead of 1728, when reckoning a cubic foot. It is curious how she came to transpose the numbers? I wonder----" She hastened across the hall to Miss Buckingham’s room, and upon looking at the "crib," she saw, with a curious sense of satisfaction (for she felt sure Monica was innocent) that underneath "Solid or Cubic Measure" the first line, was 1278 cub. in. = 1 cub. ft. "Found out!" she murmured, and recrossing the hall, she told two of the other teachers, who were also correcting papers, what she had discovered, and bade them look at the paper, and compare it with Lily’s sums. They both agreed it was a very clear case, and when, upon examination, Monica was found to have calculated her cubic inches rightly each time, no further proof of Lily Howell’s guilt was needed. Little did that individual dream of what awaited her on the morrow, when she retired to rest that night, rather well satisfied with the success which she thought she had achieved. The girls waited breathlessly next morning for Miss Buckingham’s verdict; many had been the conversations about it, and very varied were the punishments suggested. Every one was sure that, somehow, Lily would be proved guilty, most of them thinking that she would voluntarily confess. Monica, knowing she was quite innocent, felt no real fear, although she was not at all sure that she would escape punishment, for she was under the impression that Miss Buckingham had believed her to be the culprit. Every one was amazed when they heard the conclusion of the matter. In a few terse words the head-mistress explained how the truth had been brought to light; and no one felt that undue punishment was being meted out to Lily Howell when she was informed that after that term she would not be allowed to return to the Osmington High School. "Not only for the using of unfair and forbidden means in order to secure a good place in the examination list, but far more on account of the wicked intention to bring discredit and punishment upon an innocent fellow-schoolgirl." Miss Buckingham’s words were stern and uncompromising, and poor unhappy Lily Howell cowered beneath her glance.