頁二第張八第日九月二年寅丙歷夏 WAH KIU YAT PO
1986
中學會考試題預習專欄
・經濟(甘五)
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王啓光
Cert. Exam, (1980)
ECONOMICS (25)
KAK. WONG WEST. SHAN
·HILL & DÁLE PRESS LTD. What would be "the possible economic consequences if. (1)The solarios, tax in
Hong Kong were to be raised by 2%2 (2)Hong Kong vere to
impose a tariff on all importa? II the Bong Kong Government were
to raise the salaries tax the economic. "consequences could be summarized as follow; 1. The incomes of all
households would decrease owing to the higher tax payments. As a result, the disposable income in
4',
· family will be
reduced, leading to lower purchasing power of the family. This is especially true fur the Tower-income group" in Hong Kong. If 22 of salaries tax rate were to be raised, most of the families will be affected s
Since the decrease of disponsable income of each family will
lessen the consumption power, the aggregate demand for the commodities in; the whole economy would LETE HÉO. In ship .
case, the real income.
of each household. would have been dimïniated d
Consumers will, tend to
buy more necessary good rather than luxury goods because their disposable;
incomes diminish, when tax increase. General price level in
the economy may be affected. It may decrease of start to decrease through the working of market, ·· -mechani am in local
Inissez-feire ecuuony, The working incentives af labour would be discourage as their earnings are closely related to their m
1986
中學會考試題預習專欄
物理(廿五) 明德出版社
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Revision Exercise
for
Cert. Exem. (1986)
PHYSICS (1995)))))
H.E. 20
MILL & DALE PRESS. IT?
9.3 Electrical.
measurements
(A) Meteri
A moving củ
galvanometer can be fadapted to measure larger currents hy connecting a suitable resistance in parallel and thus an ammeter is obtained. Also, "a moving coll galvanometer car also be adapted to messure potential difference by connecting a suitable resistance in
series and hence we have a voltmeter.
| Besides a moving
galvanometer enn also be adapted to neasure resistances and we have an "olitameter" Example 1: (mjeter any
voltmeter) (a)As shown in the figure
below, a rectangular coil of wire pivoted symmetrically about the vertical axis XY is placed in a uniform horizontal magnetic field with its plane. parallel to the field If a current is sent
through the coil ·
·(1) · Explain what
happens..
(ii) State the factors
S
which determinė the magnitude of the deflection of the cos (b) If a moving coil
ameter gives a full scale deflection for
Laxes. Workers day decline to work hard
or to work overtime, s
leisure becomes more
attrative to them. Workers of lower-
income group may have to work more so as to offset their lusses. due to increase of
salaries tax. Although
they would work more.. the productive
efficiency would not
be improved because
their work incentives would have been discouraged.
7. The ability of savings jin whole economy would be reduced. Because of -higher taxation, AS
the reafinèome, & £. the household decreases; a family villaave up less money than before.: the econory, fixed deposits. Would deminish and its decrease will be more than the decrease of demand deposits. Accordingly; the creation of bank credit would, Lel hindered owing to reduction of savings. The amount of
investment in a family would decrease, leading to the reduction of aggregate investment level of the whole econvay. Consequently, capital aecumaulution may be" impeded 122
9. The distribution of
income in the society would be more even because those higher- income group would have to pay greater amount of tax than before, on the other hand, the increase of taxation will lead to greater government revenue. This amount of money can he spent on various sócial scrvices and it will benefit the society and redistribute income,
If the Hong Kong Government were to inpose tariff to all imports, the possible economic consequences could be summarized sa follows:
1. As Hong Kong is lack of raw materials and datural resources; domestic production depend largely on imported raw materials
and resourcest-
Importers would certainly raise up the
a current of 10
williamperes and has
a resistance of $8.5 olins, how would you adopt so that it
could be used as
(i) an ammeter
Tending to empere,
(ii) a voltmeter
rending up to 110 volt.
As shown to the
figure above, a current is sent through the corl Among the four sides of the coil. AP and BC are parallel to the field and there' is no force acting OÙ AD and BC AR and CD are perpendicular to the magnetic field- and they are acted on hy two equal and opposite forces. These two forces form a couple and the coil will then rotate
about the axis XV. (ii)The factors are.
1. the magnitude of
the current flowing through. the coil,
2 the strength of the magnetic field,
AB
the number of turns of the chil
abin, in the abuve figure, in order to use ít to mensure a current up to 1.0 ampere low resistance shunt
must be connected in parallel with the ameter given.
Let the resistance
of the meter be R
the currents through the meter and the resistance B be I
respectively.
and
prices of those
imported goods in
order to offset, the
報日僑華
losses in tariffs. As
a result, the cost: production will be raised in local manufacturing industries.
The increase of
praduction cost will
affect the produc
tivity and "the overa})
output" Levél.: Hong
Köng has long been
export-oriented' and is
is likely that Hong Kong is going to diversify the Foreign" markets by the way of exporting products of light industries and. heavy industries: The- imposition 91 toriff: will hinder local
industrial, diversification and the discouragement of Local exports will affect the economy of Hong Kong,
Although Hong Kong is now suffering from. world protectionism especially from the restriction of
taxtiles exports by. European Economic Community, the development of local economy still mainly depends on foreign trade. If the foreign trading companions take revenge on Hong Fong more tariff would be imposed to long. Rong exports. This will put Hong Kong into a disadvantage position when compared with oplier' trading competitiors, The inposition of tariff will encourage the excercising force of protectionists. Because of the rise öf production cost, as overall rises in rent vages and other cost of production will be caused. It is not easy for thúse small labour intensive idustrial unite to operate. They may shut down because they are unable beac.. the losses. Meanwhile unemployment probles. would happen.
The rise of production. cost will lead to the rise of the prices of domestic products, in this case, the general. price level of incabins product will be bid
6. As prices of imported
foreign goods
increase, the prices
Il a current ITA sent through', then
-0.01A
0x2.5. -0.01
2.
A's shown in the" shove · figure, in order to measure voltage up to 1.0 volt a high resistance R must be connected in series with the meter.
The potential difference across the system is
VI (R+R)
Hence,
V-1 volt
=10x10
-0.01A
1-2.5x0.01 0.01 -97.55
Example 2: (Multi-range. Tammeter)
A moving galvanometer G of internal resistance: 250 gives full scale, deflection for a current of 10mA. The figure below alows, how it can be
converted into a current acter of multiple range.,
Find the resistances R and if
senie
deflection will he
obtained when the switch
5 is switched to
terminals A and B.
respectively. Note that.
A and B ore terminala
reading currents up to 10A and 11 respectively.
of local goods and
services will be.
stimulated,
Consequently, and
Sufration problem will happen.
Local government
revenue will increase Sna
數
run.
盧雄國 提供資料
Revision
Exere is
for
Cert. Exam. (1986) MATHEMATICS. (25).
1.0.
MILL & DALS PRESS LTD. TEST NINE LAS
Attempt ALL "questions in section. A and any SIX ip section B.. SECTION A. (408)
In the figure, O is the centre of the circle.
Minor are AB÷10 cm ZACB=15°. Find in the
terms of
(a) the length of radius
GA.
(b)the area of the shaded
sector. AOB.
Figure 1
متورد
find the values of bund e.
810, find the value
4. If
Aare the routs of the equa bi ön
2x=3x+4=0 find the equation with roots
K+BA und »C+kß!:
În figure, 0. 16-11.5. centre of the circle, CA=CB=5cm, 70. Bwyca and PRA isa't straight line,
Figure
find the value of
·sino,
7. The difference between the simple interest and the compound interest on a sum of
G
二期星
日八十月三年六八九一届公年五十七國民華中南教僑
money invested for two years at . per annum
is $144: What is the sum of money? SECTION (60%)
The equation (x-2)+3)+(k)(2x+y)=0 represents a family of straight lines passing through a fixed point
P
(a)For what value of ķis:
the line in the family parallel to the
straight line 2x+2y=5? (b)For what value of k is the line in the family perpendicular to 3x+93-7.
(c)For what value of kis
the line in the fasi13 pass through the centre of the circle
x+2x-4x+8y-7=0
(d)Find the co.Grdinate s
of P,
In the figure, ABC ‚an equilateral
triangle AB÷BC÷CA÷Ïa. IN AP=RD=CH=a
find
Figure 3
(a) the area of DEF
terms of a
(b)the length of FD
terms of a...
(c)Bence, or otherwise
prove that FD is
perpendicular to BC.
16. If Land
are the
routs of ax +bx+c=0
and pe are the
routs of the equation 2 2 2 2 ax +5x+00; Prove.
that bac,
A square has a Perimeter of 40cm. Along each side, a point is located two-fifths the distance to the right of each vertex. By joleing consective points, u how square is formed. This process is continued for each new square su-formed. Culculate (a)the sum of all the
perimeters of all such square. ()the sum of all the
area of square ABCD
Figure 4
12. In an rithenatic
15.
(a)}
progression, the sui of the first 3 terms) is 15, and their product is 60. Find the first term and the commun difference. of this progression.
a bus, there are
3 red balls and 21 -green balls.
One ball
is draw at random and then replaced. In three successive draws, find the propability that balls of different colours are drown alternately (b)Bag A contains 1'red
ball and 4 green
balls Bag is contains 7 green balls.
A ball is taken at randon from A and put
into. B. Then a ball: is taken from B. and put
into A
Find the
chance that the red ball fa still in A...
14. In the figure. ARCF,
ABCD are rectangles.
AB=0m, BC-4m and /CBE-25° fina
(a) CAE
()the volume of the
Figure
附加數
明德出版社
高樹方提供資料
Revision Exercise.
for
Cert, Exam.
(1986)
ADDITIONAL MATHEMATICS (25)
S.F. Ko
MILL. & DALE, PRESS LTD
Exercise 13:
Paper I Section B.
If 4,♬ are the roots
of the equation.
2
-ax+b=0, find the equation whose roots are (4437) and
(ii) Prove that the
aquati on found in The number of looping when the flowchart is executed
Revision Exercise
fur
A. 9
Cert. Exam, (1986).
B. 10
C. 11
When S is switched to
Computer (25): H.W. LI
D. 12
E. 17
Solution
As shown in the figure
1 = 10mA
10x10
=0.01A 15-10-1
-9.99A
Hence (25+R)=22R1-
25+R999R-
or.
When S in switched to B.
As shown in the figure
* ̧×10¤A=0.01A --
Hence (25) (R1 +R2)
25-99 (R, +Hg)
From (1)
(3).
R-9998-2 Substitute into (2).
25-99(R, +9998 -25
1000R 25,25.
R=0.0252562 (Ans.)
Substitute into (5)
B-0227270 (Ann.
MILL & DALIN PRESS LTD.
Unit 25 Flowcharting
Answer
following
N
questions.
1. Its best to draw an
outline progran flowchart
A just before the
program-i's written B. just before test, detu are entered. into the program. Gjust after the
program has been written.
D. just after the
program has been teated.
E just after all
syntax errors have been
corrected.
Choose the invalid statement from, the following
A. A flowchart, has a
Start and a End-
to begin or stop. Flowlines may cross one another in flowchart, Every symbo) can he connected to the ather by flowlines. In most cases, flowcharts are fand: from top to bottori, Sertences and symbols may appear in the boxes of the flowchart.
3-5 refer to the
At the end of the
execution, the value
of X is
A8
B 17
G. 11
D. 12
E. 10
. At the end of the
executi ou, the valua
of Yis:
A. 900
8. 961
C., 10èro.
D. 1034
E. 1331
6-9 refer to the
flowchart as sho
(STANT
The
X=1, Y=A 7=3, W=0
•A=V+X+Y+%
X=X÷1
A39
PRINT Á
STOP
il value of
A. 10
(1) can have oqual
roots only if a=0)
+2
or a 4b, where
b are both real
(v) Sketch the graph of
y= x2-21 for :04 x4?
x
(b) Given that C2 y=x2+2
and C ̧:yex2+3 If the area enclosed
hy Co tại sao d
x-3 is rotated about the x-axis, find thé. volume of the selid formed,
(a) Solve for x where *20K* £360°% [%= 8187x+sin5x+sin3x+sinx±0 (b) Given that:
sin2x+e6s3x=0
(1) Prove that x=54" is
é solution of the equation.
(ii)Pind the other
solutions .0" x 180"
whore
(iii)llence shot that
The fig. represents
the equation of the
circle
2 2
x+yBx-7y+12=0
(1) Find the coordinates. of A, B, C and D.
(11)A hugent, is drawn at
P where AP is n diabeter. Pind the co-ordinates of Pand the equation of the tangent.
(a) Ir zcogu+isina,
show that cosung(z+1)
¡nden (2-2) ang
hence show that
n
and ad
2c0682 +2 and
(b) Express sin ecos e
in terms of pa}tiple angles by using the results of (a), and hence hence find the value
of Sorin ecos ede
D
It. 2 is replaced by
the printed-
»lue of A is
A. 30
B. 36
C. 37
38
10-17 refer to the
following flowchart
START
5=0
N=0
INPUT
A=0
PRINT NAVG
END 10
10.What is the correc
use of the shape at box 102
B.
Terminal · box.
Decision hox
C.1/0 hox
D. connector box
E. Process ħax-
11 Which baxes have been
drawn with the wrong shapes?
A. 2, 3, 6, 7 and 8
B. 14, 8, 9 and 10
0.
1, 7, 8 and 10
D1,4,
4,9aid.10 E, 4 and 9 only. 12. If the input valuës
of A ere 1,4, 0, -7, 15 being written in the sequence that they are processed, what will be the
print aut A. 5
flowchart as uliown.
B. 14.
START
.C. 16
D. IB
X=1
E. 20
The printed value
B "5
ATH
A 36
B. 38
G. 40
YES
李明偉 提供資料
YS1000
NO
PRINTY
D. 42.
E44
Answers
The number of looping
1... A D
7. A
∙10,
D.
STOP
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明德出版社:
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