And so the teachers and the schoolgirls were not able to discover why the two star pupils remained away from school, and so lost their marks for one whole day.

But the fact that Patty and Lorraine had frustrated each other’s plan left their average of marks still even. Although they might fluctuate a little from day to day, yet the two always knew their lessons, and though Patty’s Themes were usually marked higher than Lorraine’s, that was offset by Lorraine’s greater proficiency in mathematics.

Christmas drew nearer, and somehow the girls became aware that Lorraine and Patty were evenly matched for the general prize, and that each was anxious for the other to win it. Not that they told this in so many words, but their fellow-pupils discovered it, and the excitement about it was considerable.

Patty was a favourite in the school, but Lorraine, by the improved disposition she was now showing, had also won many friends.

She had become a member of the Grigs. Elise had by no means been dismissed to make room for her, but had been put in as a ninth member. The other Grigs were all most friendly to her, and honestly tried to show their appreciation of the new Lorraine. Some of them even went so far as to hope that she would win the prize, and that for the very same reason that influenced Patty.

So, sympathy with the two girls was pretty fairly divided, though had it come to a vote, probably the majority would have been in Patty’s favour.

As it came nearer to Christmas the race was most exciting. It seemed now that the two girls aimed only to keep even. It might have been coincidence, but if Lorraine missed in one lesson, Patty was pretty sure to miss in another; and if Patty’s Theme was a little less excellent than usual, somehow Lorraine’s mathematics fell off a trifle.

But Patty had inherited what her father sometimes called the Fairfield stubbornness. Not content with an even record, she determined that Lorraine’s average should finally be found ahead of hers.

So, a few days before the final summing up she went to Miss Oliphant’s study and asked for a private interview.

The girls rarely saw the principal of the school in a personal way, as her intercourse with them was confined almost entirely to addresses from the platform.