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48
THE HONGKONG GOVERNMENT GAZETTE, 19TH JANUARY, 1895.
10. The sum of 21 terms in A. P. is 777, find the first and last terms; it being known that the sum
of 22 terms is 847.
11. A man gives away some money to twenty boys; giving a farthing to the first, a halfpenny to the second, a penny to the third, and so on. How much does the last boy receive and what is the total amount given away ?
12. How many positive integral solutions are there of the equation 13+17y=707 ? 13. Write down the tenth term of the following expansions :-
---
and find approximately the fifth root of 1020
(x + y) 21; ( 1 − x )12;
( 1 − x ) -3
CLASS I.A.—EUCLID.
THURSDAY, January 10. 9-12.
1. Draw a straight line at right angles to a given straight line from a given point in the same. 2. If one side of a triangle be produced, the exterior angle shall be greater than either of the interior
and opposite angles.
3. If a straight line fall on two parallel straight lines, it makes the alternate angles equal, and the exterior angle equal to the interior and opposite angle on the same side; and also the two interior angles on the same side together equal to two right angles.
4. Prove from Euclid that the area of a triangle is equal to half the product of a side and the
perpendicular from the opposite angle.
5. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section is equal to the square on half the line.
6. Divide a given straight line into two parts, such that the rectangle contained by the whole and
one part shall be equal the square on the other part.
7. If two circles touch one another internally they cannot have a common centre.
8. Straight lines in a circle equally distant from the centre are equal.
9. Draw as many tangents as you can touching two given circles, external to each other and
of unequal radius.
10. About a given circle draw an equilateral triangle.
CLASS I-GENERAL INTELLIGENCE.
TUESDAY, January 15. 9-12.
1. Divide 437589 by 11988 correct to 5 decimal places (using the quickest method).
2. Draw a plan (not an elevation) of this college.
3. State briefly what you know of the Gambling Ordinance and Sanitary Board.
4. Describe a tournament, or conflict between knights.
5. In what ways has the Plague affected.this college?
6. Give different examples of the way in which the sound sh is spelt in English.
CLASS I-BOOK-KEEPING.
SATURDAY, January 12. 9-12.
1. Open the books from the following statement:-
Dec. 1-I had $23,000 in the Chartered Bank, $215 Cash, $16,000 worth of Goods, Mr. Wilson's Acceptance, due Dec. 18 for $720, while I owed Mr. Mackie $1,300,
and Mr. Green owed me $135.
3-Sold Goods to Mr. Green
4-Paid wages for November (Cash)..... 5--Bought Goods of Mr. Whitfield
7--Paid Office Rent (Cheque)
10-Accepted Mr. Mackie's Draft
and paid him cheque....... Balance as Discount
13-Sold Goods to Mr. Wilson
22-Received from Mr. Green
18-Mr. Wilson's Acceptance collected by Bank
My Acceptance to Mackie.............
Cheque...
Discount allowed
27-Petty Cash payments
30-Drew cheque on Self (Private Expenses)
(Note Goods on Hand Dec. 31 $16,140)
.$
700,00
123.50
450.00
75.00
1,000.00
260.00
40.00
240.00
720.00
.$1,000.00
100.00
1,100.00
35.00
80.00
240.00
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