142
LEAVING CERTIFICATE, 1888.
8. Express
(1.) 17294544 square inches in acres, and
(2.) lbs. troy, in lbs., oz., drs. avoirdupois, 7,000 grains
going to an avoirdupois lb., and 5,760 grains to a
troy lb.
9. One man can do a piece of work in 12 hours, another in 16, another
in 48. How long would all three working together take to
finish it ?
10. If £1,095 lying at interest for 117 days becomes £1,118 8s., what is
the rate of interest per cent, per annum ?
11. A person owning £1,000 3 per cent, stock, has to sell out as much
as will pay a debt of £105 15s. If the 3 per cents, are at 94,
how much stock has he to sell out ?
2 *03 +1 *21
12. Simplify 2TQg3yT2p giving the answer in decimals.
Reduce every term in this to a fraction, and compare the
results.
No. 1.—ARITHMETIC (I.).
Higher Grade and Honours.
Monday, 18th June. 10 a.m. to 11.30 a.m.
Give your working in full.
Endeavour rather to answer a moderate number of Questions
accurately and fully than to answer a large number imperfectly.
1. Explain the principle of the process for converting a vulgar into a
decimal fraction; and indicate the conditions that the decimal
terminate.
Express—
(f+W) (f+Kf)+(i-l-l) (1+j+l)
A (i+l)
as a decimal (to 4 places).
2. Express in English money to the nearest penny the amount of the
following bill in French money:—3‘35 articles, at 6'37 fr.;
23'63 articles, at 1'34 fr.; 15*37 articles, at 7'15 fr. ; allowing
25*42 fr. for £1.
3. A certain sum of money put out at 4^ per cent., simple interest, for
10 years, amounted to £1,356 after income tax was deducted
from the interest at the rate of 5d. in the pound. What was the
sum ?
4. I bought 25 shares of a certain Company for £135 each, the paid-
up capital for each share being £100. During the year I got a
dividend of 5^ per cent, on the paid-up capital, and a bonus
of £35 on my 25 shares. What rate of interest did my invest¬
ment bring me ?
£. For how much should a house, worth £5,122, be insured at per
cent, so that in case of loss the value of the house and the
insurance premium may be repaid ?