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LEAVING CERTIFICATE EXAMINATION
MATHEMATICS.
Lower Grade.—III.
Thursday, 22nd June.—2 p.m. to 3 P.M.
10. Marks are given for neatness, arrangement, and style.
Before attempting to answer any question, candidates should read the
whole of it very carefully, since time is often lost through mis¬
apprehension as to what is really required.
15. 1. Find the prime factors of 193545 and 417384.
Hence write down their greatest common factor as a product of
prime numbers, and find its value.
15. 2. Simplify
/ON -4 - -004 . 52-8 . ,, • ,
(2) 1 _ .99375 ^ 5-37-> expressing the answer as a decimal.
15. 3. A room is 15 metres long and 9-8 metres broad, and its floor is to
be made of planks 2-5 metres long and 20 centimetres broad.
How many planks will be required 1 .
15. 4. A fortification contains 16800 men and is provisioned for seven
months. After three months’ siege 5600 men break through
the enemy’s ranks: for how much longer than the seven
months will the provisions last 1
15. 5. If 5 per cent be gained by selling an article for 18s. 4£d., at what
price should it have been sold in order to have gained 10 per
cent. 1
15. 6. The area of a page of foolscap paper is *733 of a square foot. If
the breadth of a page be 8T68 inches, find the length in inches
correct to three decimal places, without unnecessary calculation