FUN WITH FIGURES.

Auckland Star, Volume XLIII, Issue 306, 23 December 1912, Page 4 (Supplement)

FUN WITH FIGURES.

*. PROBLEM FOR THE YOUNGSTERS. ither twenty squares sn that when added i[i either alons tie nilnniiis or diagonally lio total is IS. \n ti-ure slmnld be repeated n the same rnlunin. Here Is the solution: I J] I ; j5j3J \Jz Jh _—L—J_j i"2js|4j3'l i I 1 ptpTzrala' 1 11 I I Sillilil PRonirjiors: Take 45 from 45 and 4." remains. To peror,., this * trance ailtliuietli-al feat you must ilace figures tlius:----987654321 and subtract therefrom .. 123456759 which leaves a remainder of SG4in7n.T> f you add these lines of figures horizontally you will find they ea.li sum up to 45. MATHEMATICAL MARVELS. and you get the lnpTitul.lt> series of nin'L millions place and add it to" fhe^last'fljrare re r d ? eneS ' tbe ori S in «l number will be tW ° mOre amazin S mathematical 123456789 x 0 -l in = 1111111111 128415678 X 9 + n -= milllll if™" 50+ ; = miiiu 1 T^ , ,'- x!, -+- ■ = 1111111 12145 X i> _ o = i llm 1234 X 9 _ 3 - 11111 123 X !> - 4 = 1111 12 x 9 4- 3 = 111 1 x n -j- 2 = 11 oxo+l=l 12345e7.89 X « + 0 =- 9876543n 3234T.«78 X 8 -j- « = 98765432 1234567 x 8 + 7 - 0876543 123456 X 8 4- H = 087654 12345 X 8 — r. = 9«7H5 1234 X 8 + 4 = 9876 123 X St 3 = f>B7 12 x 8 -r 2 = ns IXB4-I=o By reversing the first and last flenres of any number, subtracting, then reversing first and last only, and adding, the sum is all nines. Thus:— 3261 74382 321 — 1283 — 24387 _ ioi 1808 49995 ~198 + 8-.1 +5...4 +8.1 9999 90999 ~999 POSEBS ANT) CATCHES. Set your smart friends this little poser — A farmer sent his boy to a well, with instructions that be was to bring bacfc four pints of water—no more and no less lie gave the boy a five-pint pitcher and a threepint one. How did the boy measnre esactlr four pints? * The answer is simple. The boy first filled the three-piDt jug, and then emptied It into the live; then he filled toe three-pint jug again and poured as much as be could Into the five, thus leaving one pint in the smaller jng. Next he emptied the five and poured the pint out of the three into it Then he filled the three again, and then had the necessary four pints. How long will it take to divide a piece of cloth fifty yards in length if one yard be cut each day? Fifty days? Certainly not; only forty-nine, because the last cut makes two one-yard nieces.