100
THE HONGKONG GOVERNMENT GAZETTE, 30TH JANUARY, 1892.
CLASS I.-COMPOSITION.
2--4
Opium Smoking.
CLASS I.-ARITHMETIC.
9-12
1. Find the difference between 31·2345 and 13·056.
2. What English money shall I receive for $1,000 when the dollar-3s. 1}d?
3. How many yards of carpet yd. wide will be required to cover the floor of a room 17 ft. 10 in.
by 21 ft. 8 in.?
4. Find the difference between the Simple and Compound Interest on £750 in 9 years at 4 p.c.
5. Find by Practice the value of 15 cwt. 2 qr. 14 lb. 14 oz. at £3 the ton.
6. What is the amount of poor rates to be paid upon £95. 10s. 94d. when £39. 11s. 8d. is levied
upon £791. 13s. 4d.
7. Find the Cube Root of 7 correct to 3 decimal places.
8. If 5 p.c. be gained by selling butter at £5. 5s. 6d. the cwt. what will be the gain p.c. by selling
it at 1s. 3d. the lb.
9. A farmer offers 10s. for a job to be finished in one day. Two men undertake it, but after working for 6 hours, they call in another man when they finish the job in 4 more hours. What should each men receive?
10. How much stock must be sold out of 4 p.c. at 94 to pay a Bill for £211. 6s. 1d. due in 292 days
at 5 p.c. True Discount.
CLASS I.-ALGEBRA.
1. Find the Factors of a2-7xy + 10y and n2 + an-2bn-ab+b3.
9-12
—c and a-2b+c. Work must be shown.
2. Find without multiplication, the product of a +2b-c and a-2b+c.
3. Find the sum of
a+b
b+a
a-b x+y x-y y2x2
4. Find the square root of 4æ1 — 12x3 + 5x2 + 6x + 1.
5. Solve,
4(x-1) 3x-1
(1)
3(2x+1)
7x
(2)
x(a+b) a
ab
·b
www
b
a
x+y+2=3a+2b+c
(3) ₺−y+z = a + c
by-az= b2 — ac
(4) 8x-10x-3=0
(5) x2 + 24x √x2+24 x + 19
wwwwww
:71.
6. What is the product and sum of three consecutive numbers, the smallest of which is n?
7. Find two numbers such that twice the first plus the second is equal to 17, and twice the second
plus the first equal to 19.
8. Insert 6 Arithmetical means between 1 and 29.
CLASS I.-EUCLID.
9-12.
1. Define, hypothesis, hypotenuse, superposition, vertex.
2. Bisect a given rectilineal angle.
3. The angles, which one straight line makes with another straight line on one side of it, are either
two right angles, or are together equal to two right angles.
4. If a straight line falling on two straight lines makes the exterior angle equal to the interior and opposite angle on the same side of the line, or makes the interior angles on the same side of the line equal to two right angles, the two straight lines shall be parallei.
5. Describe a parallelogram equal to a given rectilineal figure and having an angle equal to a given
rectilineal angle.
6. If a straight line be divided into two parts equally and also unequally, the squares on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section.
No comments yet.
Private notes are available after approval.