But the old woman said—

“They can’t change, my dear. When a Prince has picked a gold apple that

has a Princess in it, and has kissed it till she comes out, no other

Princess will ever do for him, any more than any other Prince will ever

do for her.”

While she was speaking the old woman got younger and younger and

younger, till as she spoke the last words she was quite young, not more

than fifty-five. And it was Miss Fitzroy Robinson!

Her pupils stepped forward one by one with respectful curtsies,

and she allowed them to kiss her on the cheek, just as if it was

breaking-up day.

Then, all together, and very happily, they went down to the furnished

villa that had once been the Select School, and when the half-professor

had promised on his honour as a Magician to give up Magic and take to

a respectable trade, they took his legs out of the starry sphere, and

gave them back to him; and he joined himself together, and went off

full of earnest resolve to live and die an honest plumber.

“My talents won’t be quite wasted,” said he; “a little hanky-panky is

useful in most trades.”

When the King asked Miss Fitzroy Robinson to name her own reward for

restoring the Princesses, she said—

“Make the land green again, your Majesty.”

So Fortunatus Rex & Co. devoted themselves to pulling down and carting

off the yellow streets they had built. And now the country there is

almost as green and pretty as it was before Princess Daisy and the six

parlour-boarders were turned into gold apples.

“It was very clever of dear Miss Fitzroy Robinson to shut up that

Professor in those two globes,” said the Queen; “it shows the

advantage of having lessons from the best Masters.”

“Yes,” said the King, “I always say that you cannot go far wrong if you

insist on the highest references!”

_THE SUMS THAT CAME RIGHT_

“IF twenty-seven barrelsful of apples cost £25 13_s._ 3_d._, what

would the same barrels be worth if they had been packed by a dishonest

person, who only put in 7/9ths of apples in each barrel and the rest

sawdust?”

This was the sum.

It does not look very hard, perhaps, to you who have studied ardently

for years at a Board School, or a High School, or a Preparatory School

for the sons of gentlemen; but to Edwin it looked as hard as a ship’s

biscuit. But he went for it like a man, and presently produced an

Answer and his Master wrote a big curly R across the sum. Perhaps you

do not know that a big curly R means Right? As for the answer to the

sum, I will try to get a Fellow of Trinity College, Cambridge (who is

a very terrible person), to work it out for you, and if he can do it I

will put the answer at the end of this story. I cannot work it myself.

Edwin was glad to see the large curly R. He saw it so seldom that to

meet it was a real pleasure.

“But what’s the use?” he said. “Everything else leads to something

else, except lessons. If you put seeds in the garden they come up

flowers, unless they’re rotten seeds or you forget where you put them.

And if you buy a rabbit—well, there it is, unless it dies. And if you

eat your dinner—well, you’re not hungry any more for an hour or two.

But lessons!”

He bit his penholder angrily and put his head into his desk to look for

nibs to play Simpkins minor with. You know the game of nibs, of course?

He held up the lid of the desk on his head, as I daresay you have often

done, and the inside of the desk was darkish, so that the sudden light

at the very back of the desk showed quite brightly and unmistakably.

“Those firework fusees, O Crikey!” was Edwin’s first thought.

But it was no firework fusee. It was like glow-worms, only a thousand

times more bright and white. For it was the light of pure reason, and

it glowed from the glorious eyes of the Arithmetic Fairy. You did not

know that there was an Arithmetic Fairy? If you knew as much as I do,

it would be simply silly for me to try to tell you stories, wouldn’t it?

Her wonderful eyes gleamed and flashed straight into the round goggling

eyes of the amazed Edwin.

“Upon my word!” she said.

Edwin said nothing.

“Did no one ever tell you?” the fairy went on, shaking out her dress,

which was woven of the integral calculus, and trimmed with a dazzling

fringe of logarithms. “Did no one ever tell you that the things that

happen when you’ve done your sums right, happen when you’re grown up?”

“I don’t care what happens then,” Edwin dared to say, for the flashing

eyes were kind eyes. “I shall be a pirate, or a bushranger, or

something.”

The fairy drew herself up, and her graceful garland of simple equations

trembled as Edwin breathed heavily.

“A Pirate,” said she, “a nice sort of pirate who can’t calculate his

men’s share of the plunder to three-seventeenths of a gold link of the

dead captain’s chain! A fine bushranger who can’t arrange the forty-two

bullets from the revolvers of his seven dauntless followers so that

each of the fifteen enemies gets his fair share! Go along with you!”

said the Arithmetic Fairy.

But Edwin’s eyes were, as I said, wide open, goggling.

“I say,” he suddenly remarked, “how jolly pretty you are.”

The Arithmetic Fairy has but one weakness—a feminine weakness.

She loves a pretty speech. If blunt, so much the worse; yet even

bluntness....

She looked down and played shyly with the bunch of miscellaneous

examples in vulgar fractions which adorned her waistband.

“I suppose you can’t be expected to understand, yet,” she said, and she

said it very gently.

Edwin took courage.

“When I do things I want something to happen at once. ‘I want a white

rabbit and I want it _now_.’”

She did not recognise the quotation.

“Get your Master to set you a little simple multiplication sum in white

rabbits,” she said. “Goodbye, my child. You’ll know me better in time,

and as you know me better you’ll love me more.”

“I ... you’re lovely now,” said Edwin.

The Fairy laughed, and spread her dazzling wings glistening with all

the glories of the higher mathematics.

Edwin closed dazzled eyes, and opened them as the desk lid shut down on

his head, swayed by no uncertain hand. It was the mathematical master’s

hand, in fact.

A new example was set. And, curiously enough, white rabbits were in it.

“If seven thousand five hundred and sixty-three white rabbits,” it

began. Edwin, his brain in a whirl, worked it correctly, by a sort of

inspiration, like an ancient prophet or a calculating machine.

When he returned, with his books in a strap, to the red villa whose

gables meant home for him, he found an excited crowd dancing round the

white-painted gates.

The whole of the front garden, as well as most of the back garden,

was a seething mass of white rabbits. Seven thousand five hundred and

sixty-three there were, to be exact. I alone know this. The joyous

Edwin and his distracted parents were never able to count them.

“What a lot of hutches we shall want,” Edwin thought gaily. But when

his father came home from the Stock Exchange, where he spent his days

in considering 7⅝ and 10-3/32—no doubt under the direct guidance of the

Arithmetic Fairy, he said at once—

“Send for the poulterer.”

This was done. Only one pair of white rabbits remained the property of

Edwin, but these, by the power of the Arithmetic Fairy, became ten by

Christmas.

The rabbits disposed of, peace spread a longing wing over the villa,

but was not allowed to settle.

“Oh, please ’m,” the startled cook, cap all crooked, exclaimed in the

hall, “the cellar is choke-full of apples—most of ’em bad ’m—_I_ never

see no one deliver them, nor yet give no receipt.”

The cook, for once in a lurid career, spoke truth. The cellar _was_

full of apples. Nineteen pounds nineteen and twopence and one-third of

a pennyworth—to be accurate.

Edwin went to bed, feeling now quite sure that he had _not_ dreamed the

Arithmetic Fairy, and anxiously wondering what to-morrow’s sums would

be about. Not, he trusted, about snakes, or Sunday School teachers.

The next day’s sum was about oranges. Edwin did it correctly, and

went home a prey to the most golden apprehensions. Nor were these

unfounded. The whole of the dining-room and most of the hall—up to the

seventh step of the neatly carpeted stairs, was golden with oranges.

Edwin’s father said some severe things about practical jokers, and sent

for the greengrocer. Edwin ate nine 3/7th oranges, and went to bed

yellow, but not absolutely unhappy.

But now he was quite sure.

On the following day his sum dealt with elephants, and in such numbers

that his father, on returning from business, yielded to a very natural

annoyance, and gave notice to his landlord that he should, at Lady Day,

leave a villa where elephants and oranges occurred to such an extent.

No one suspected Edwin of having anything to do with these happenings.

And indeed, it was not his fault, so how and why could or should he

have owned up to it?

I wish I had time to tell you of the events that occurred when Edwin’s

sums were set in buttered muffins. Of the seventy-five pigs travelling

in a circle at varying rates, I can only say that part of this circle

ran through Edwin’s mother’s drawing-room. Nor can I here relate the

tale of the three hundred lightning conductors which were suddenly

found to be attached to the once happy villa-home. Edwin’s mother cried

all day when she was not laughing, and people came from far and near to

see the haunted house. For when it came to four thousand white owls and

a church steeple every one felt that it was more than a mere accident.

Edwin’s master had a pretty taste in sums, and about once a term he

used to set a sum about canes. Edwin worked that sum wrong on purpose,

so I suppose it served him right that the canes should be at home

before he was, just as they would have been if he had worked the sum

properly, and as he had borrowed his father’s razor that morning to

sharpen a slate-pencil, the fifty-seven canes were not all thrown away.

But it was the sum about the cistern that convinced Edwin of the

desperate need of finding the Arithmetic Fairy, and begging her to

take back the present she had made him. It is not polite to ask this,

but Edwin had to do it. You see in the sum the cistern had to leak

three pints in thirteen minutes and a quarter, but the cistern at home

happened to have a little leak of its own already, where Edwin had

tried his new drill on it, and the two leaks together managed so well

that when Edwin got home he found water dripping from all the top

bedroom ceilings and the staircase was a sort of Niagara. It was very

exciting—but when the plumber came he let Edwin’s father know all about

the little drilled hole, and Edwin got the credit of the leak in the

sum, which was much larger and most unfair. His father spoke to Edwin

about this matter in his study, and it was then that Edwin saw that he

must put an end to the sums that came true.

So he went up to his bedroom with his candle and his arithmetic book.

Directly he put the candle on the chest of drawers a big splash of

water from the ceiling fell right on the flame and it went out. He had

to go right down stairs to get another light. Then he put the candle on

the dressing table—splash—out it went. Chair. Splash! Out! At last he

got the candle to stay alight on the washhand-stand, which was, by some

curious accident, the only dry place in the room.

Then he opened his book. Somewhere in the book he knew there must be

something that would fetch the fairy. He said the Multiplication Table

up to nine times-after that, as you know, the worst is over. But no

fairy appeared.

Then he read aloud the instructions for working the different rules,

including the examples given. There was no result.

Then he called to the Fairy—but she did not come.

Then he tried counting. Then counting and calling mixed with other

things. Like this:

“Oh, good Fairy! One-two-three-four-five-six-seven; do come and help

me! Eight-nine-ten-eleven! Beautiful, dear, kind, lovely fairy! Nine

nines are eighty-one! Dear fairy, do come! Seven million two hundred

thousand six hundred and fifty-nine! I will always love you if you

will come to me now. Three-sevenths of five-ninths of five-twelfths

of sixteen-fiftieths. You were so kind the other day. Two and two are

four, and three are seven! Do come now—you’ve no idea what an awful

mess you’ve got me into. Seven nines are sixty-three—though I know

you meant it kindly. Dear Fairy. Thirteen from thirty-seven leaves

twenty-four. Do come and see what a hole I’m in—do come—and the product

will give you the desired result!”

Edwin stopped, out of breath. He looked round him for the Fairy. But

his room, with the water dripping from the roof and the wet towels and

basins on the floor, was not a fairy-like place. Edwin saw, with a

sigh, that it was no go.

“I’ll have another go in prep to-morrow,” he said. This he did.

The Mathematical Master was pleased with himself that day because

he had succeeded in preventing his best boy from yielding to the

allurements of the Head-master and the Classical side.

Of course his class knew at once what kind of temper the Mathematical

Master was in—you know we always know that—and Edwin ventured to ask

that the examples that day might be about a model steam engine.

“Only _one_, sir, please,” he was careful to explain. The Master kindly

consented, and by great good fortune the example did not deal with a

faulty boiler, nor with any other defect—but concerned itself solely

with the model engine’s speed. So Edwin knew, when he had worked his

sum, exactly what pace the model engine he would find at home would be

good for. He worked the sum right.

Then he put his head into his desk and began again.

“Oh, good Fairy, if a sum of £4,700 is to be divided between A, B, and

C,—do, do come and help me. Three-tenths of a pound is six shillings,

dear Fairy—eleven—twelve—thirteen—fourteen—oh, lovely Fairy—” and so on.

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