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5 8
Købmanden sælger Teen med en Fortjeneste af
364/ii pCt., idet han sælger en Del af Teen til 3,23
Kr. pr. kg og Resten til 4,50 Kr. pr. kg.
Hvor mange kg udgør hver af de to Dele?
2. En prismatisk Træklods har kvadratisk Grund
flade og Højden 32 cm. Klodsen vejer 13445,6 g,
og Træets Vægtfylde er 0,7.
Find Siden i den kvadratiske Grundflade.
I Højdens Retning foretages en cylindrisk Ud
boring gennem hele Klodsen. Den gennemborede
Klods vejer 321/3
4
3 af den oprindelige Klods.
Find Udboringens Diameter.
I hver Ende af Udboringen anbringes en Kugle
med samme Diameter som Udboringen, saaledes
at den ene Kugles nederste Punkt er i Plan med
Klodsens Grundflade, og den anden Kugles øver
ste Punkt er i Plan med Klodsens øverste Flade.
Find det Rumfang, der inde i Udboringen lig
ger mellem de to Kugler.
Et Prisme med Grundfladen g og Højden h har Rum
fanget g . h.
En Cylinder med Højden h og Grundfladens Radius r har
Rumfanget ~ r
2
-h.
o O
En Kugle med Radius r har Rumfanget
^ r 3.
Engelsk Version.
The Bell of Disaster.
In one of the towers of
Cologne Cathedral
is a
powerful bell, the sound of which is so terrible that
it is rung only in times of danger and disaster, and
then even the bravest become afraid. It is called
the fire-bell, and this is its story.
Long ago a new bell was needed for the cathedral.
Many tried to make one, but W olf (a clever, but not
a good man) was chosen to
cast
the bell.
Many people came together to see W olf at his
work. He had made the
mould,
and everybody be
came silent as, saying a kind of prayer, he poured
the hot metal into the mould. Now they had to wait
till the metal had cooled. At last the mould was
removed,
and everybody was disappointed to see
that all through the bell there stretched a big
crack.
W olf was very angry, but swore that he would
succeed the second time. Another mould was made,
once more W olf said his prayer and poured in the
metal, and still more eagerly did the people wait for
the result. The mould was removed, and again the
bell was found to be cracked from top to bottom.
Now W olf was so angry that he cried, ” If God
will not help me, then the devil will.” Everybody
shuddered
at his wicked words;, all gathered, how
ever, when for the third time he began to cast the
bell. But they shuddered still more when they heard
W olf say, ” In the name of the devil,” instead of
” In the name of God.”
And when the bell came out there was no crack
in it. Its form was perfect, and it was beautiful
to look at. The bell was hung in the cathedral tower,
and W olf stood ready to ring it. But when he began,
the sound was so terrible that everybody hurried
home in fear.
Wolf, driven mad with bitter thoughts, sprang
down from the tower and was killed on the spot.
disaster,
U lykke. —
Cologne,
Köln. —
cathedral,
Dom
kirke. —
to cast,
at støbe. —
mould,
Form . —
to remove,
at fjerne. —
crack,
Revne. —
to shudder,
at gyse.
Realeksamen og Pigeskoleeksamen i Maj-Juli 1930.
Dansk Stil.
Som almindelig Forberedelseseksamen.
Regning og Matematik.
1.
A
ejer
1) En Ejendom, vurderet til 112000 Kr., hvori
der er Laan til et samlet Beløb af 72000 Kr.
2) Et Varelager, vurderet til 35000 Kr.
3) Udestaaende Fordringer til et Beløb af 45000
Kroner.
Den 27. April sælger
A
sin Forretning til
B.
Denne overtager Ejendommen med de indestaa-
ende Laan til Vurderingssum, saaledes at han skal
betale Forskellen mellem Vurderingssummen og
Laanenes samlede Beløb. Endvidere overtager han
Varelageret til Vurderingssum, og endelig overta
ger han de udestaaende Fordringer til et Beløb,
der er 22 pCt. lavere end deres paalydende Værdi.
Hvor meget skal
B
betale A?
Betalingen foregaar saaledes, at
B
overgiver
til
A
1) 27000 Kr. 4 pCt.s Obligationer (Terminer 11/,i,
u/i
2
) til Kurs 96.