NEW PROBLEMS.

Otago Witness, Issue 1466, 20 December 1879, Page 20

NEW PROBLEMS.

205 By Kiwi, Duntroon s— ' Jupifer (the largest of all the pl&nets) may be seen to advantage no w t with the aid of agoodH glass. Now suppose the Eifth'a "diameter 1, and Jupiter's 11$, (as the ratio nearly is), fiad. how many globes of the volume of our e<irth. would be required to equal the mass of Jupiter206. By Fits. Barry, Kuri Bush :— A concert in ai-3 of the Obakia School priza fund wag held on November 26th, at which there were 2£ adult 3to each child The admittance fee was 29 for adults, and Is for-obildrea. The amount taken' by the doorkeeper waa £12. How many visited it?' ' 207. By R. T , Nugget Point :— How many gallons of rain water would fall is. 6£ hours on to a paddock measuring 2^ aorcs ft supposiag the raia fell at the rate of *09oia par hour? 1 ,7 208 Selected by "W. A., Groretown, Marl- ; borough:— ".. m The s/ (square root) o.f one half the number of a hive of jbees, and § of the whole hive and 2 bees more. .Make up the whole .hive. ' 209.. By C. J. S., Crooksfeon :— . A; 'B, and C, having equal shares in a sbip» sell, respectively one-half, one-third, 'and onequarter of their shares to D, who diea and leavea his share equally among them. 1 If B's andC'sj interest in the ship be then worth" '£7732 .laSd, what is the value of' A's share ?" ' '> , - 210. By Fitz. Barryi Kuri Bush :— If a property tax of Id in the £ amounts ta •£50 ona farm of 400 acre* ia 4 years; to whafe cum will it amount in 7 years on an. estate the area of which is 5000 acres ? „ ,211. "By Kiwi, Duntroon':— , 3 -, ; Jupiter's diameter is 88 200 miles. JF.ind how jlong (in,dayf ) ib- would ,take .an ezpi-egji .fcraim travelling 4$ nailea- per ; hour inoeasautlir,. to> travel round him ? ,•',.-, /,«., „, T . ,;. , 2l£'By. J: R. W., Oaniaru ;^ • " /•• j -A firmer once to ''market went;, ,' '\}” A'thousah'd pounds was - what he spant. A thousand head was his increase. For eyery^ox he paid ten pounds ; . ' ■ ■Forwery sheep he paid four crowns; ' ■ The geese he bought with copper pence; • '■ Thirty for each^was the expense.' ; . .. • , • C-'"'Hbwmany nad he of eaoh'kind? -' •' 2i3.'ByJ6hnWhitby*~S6aUi^na:— " s , p< j : ,Find:two;nuTnbers,whoßo cum, andproduok are equal The greater to be notleastthan^a,, and the! other which is a mixed' one to b« wkitt you' can pfovo^the rightoia iv tbej'ighfc pl»w>« ,2l4l;Byß:^.,Nagge't'Point :-;;.; . ' /■ -\ A wiud guage registered 659 tnil^,in,24hojw' a S now sappoaing the «rm3 to be lft IJin i"atengfc&: B how many revolutions "it did make in that V '- 3 ) ".< 1 ' ' '^—rr,,- , „ :1 ANSWERS TO PROBLEMS i " ',' Published Nov'bmbkk. 29th. .• . 186. By Kiwi, Duntroon :— • -.iiu . The'ratio of, 113 1 to. 355, approximates mottt olosely; than any , other to thai, ratio of i. tha diameter. -of a .circle, to its.-ciroumferences-— - Circanaf6rence=3sso links ; then , 1130= df«i <teter 1 aud l 66s=radiuß.; V(565?i-565 2 )=799«-5. the side of . the greatest posiible inscribed) Bquare. ' '„ 187. ByFHx. Barry, Kuri Bush :— ' 28+22;f-2=25/>« I (i4+lo'-j-2=) 12 "» 2Mks= 1500^-27=553 cubic yards. , ( , , 188. By Kiwi, Duntroon :— ■ 1-' '' ■'•Solution- i ßy Logarithms. Hypotenuse. Angles. a *%k 400 85° 229430 327 6SO 70' 35° 40 150 ' 57.34 L 9 35° 5162 737Z 479 35° 274 742 892373 T. 169. By Fits. Bansy, Kuri Bush :— 16+20=36^-2=lß-t-4=4-5x33=148-5x45= 66825.