7.--THE WIDOW'S LEGACY. The widow's share of the legacy must be L205, 2s. 6d. and 10/13 of a penny. 8.--INDISCRIMINATE CHARITY The gentleman must have had 3s. 6d. in his pocket when he set out for home. 9.--THE TWO AEROPLANES. The man must have paid L500 and L750 for the two machines, making together L1,250; but as he sold them for only L1,200, he lost L50 by the transaction. 10.--BUYING PRESENTS. Jorkins had originally L19, 18s. in his pocket, and spent L9, 19s. 11.--THE CYCLISTS' FEAST. There were ten cyclists at the feast. They should have paid 8s. each; but, owing to the departure of two persons, the remaining eight would pay 10s. each. 12.--A QUEER THING IN MONEY. The answer is as follows: L44,444, 4s. 4d. = 28, and, reduced to pence, 10,666,612=28. It is a curious little coincidence that in the answer 10,666,612 the four central figures indicate the only other answer, L66, 6s. 6d. 13.--A NEW MONEY PUZZLE. The smallest sum of money, in pounds, shillings, pence, and farthings, containing all the nine digits once, and once only, is L2,567, 18s. 93/4d. 14.--SQUARE MONEY. The answer is 11/2d. and 3d. Added together they make 41/2d., and 11/2d. multiplied by 3 is also 41/2d. 15.--POCKET MONEY. The largest possible sum is 15s. 9d., composed of a crown and a half-crown (or three half-crowns), four florins, and a threepenny piece. 16.--THE MILLIONAIRE'S PERPLEXITY. The answer to this quite easy puzzle may, of course, be readily obtained by trial, deducting the largest power of 7 that is contained in one million dollars, then the next largest power from the remainder, and so on. But the little problem is intended to illustrate a simple direct method. The answer is given at once by converting 1,000,000 to the septenary scale, and it is on this subject of scales of notation that I propose to write a few words for the benefit of those who have never sufficiently considered the matter.