頁二第張四第 日八廿月九年戌庚醫
WAH KIU YAT PO
報日僑茶
1971 英文中學會考試題預習專欄
If two straight lines intersect, the vertically opposite angles are equal
PARALLEL STRAIGHT LINES
straight line cuts two other straight lines, and
apar of alternate angles are equal.
i
pair of corresponding angles are equal,
MEÐ SUNLIGHT PRESS
數學科
(-)
MATHEMATICS
LESSON ONE.
10+970
This series of revision tests is prepared for students sitting for the subject of MATHEMATICS in the Hong Kong General Ceruficate of Edu cation Examination (English)
With the introduction of multiple choice test questions in examinations on Mathematics there is now a need on the part of candidates to develop ther skill in tackling such questions This series is written to provide students with suitable materials for practice 1 covers fully the syllabus on Mathematics as a subject of examination in the Hong Kong English Certificate of Education Examination and also General Certificate Examina
tion
The main part of this series. Part II comprises four sections on Anthmetic, on Trigonometry, on Algebra and on Geometry Each section is arranged in such a way that as the student proceeds further and further. in the syllabus in the course of hus study, he can attenipt the appropriate stages to develop, stage by stage, his skill in tackling multiple choice test questions.
Last but not least, model examination, test' papers are provided in Part II to give the student a chance to test his skill after he has com "pleted, the entire syllabus These should be valuable to the student to gain examination experience, so that he will be mentally prepared to sit for the real examination.
The Syllabus for this subject is quoted for your teference )
MATHEMATICS
SYLLABUS
The examination will consist of three papers GENERAL
Paper)
Multiple-choice questions in Anthimetic Algebra Trigonometry and Geometry ch Paper II Further questions Animetic and Algebra 412, nours)
Paper
Further questions in Anthmetic and Algebra i 12 hours?
The questions in Paper. are, aimed at testing accuracy and understanding over a wide range of the syllabus and all of them are to be attempted by all candidatesNIN
in Paper and Paper II, there will be a variety of questions and choice will be allowed These questions will be aimed at testing mathematical understanding and reasoning by means of more difficul problems requiring initiative Lengthy calculations will. as far as possible, be avoided
The aur of Paper is to test
(s) Accuracy of computation.
(b) Understanding of the underlying principles which lead to the required answers,
c) Ability to solve problems rather lian to perform mechanical drills answering stereotyped
questions
(d) Ability to deal with everyday problems of Hong Kong life using local and metric unis
The aim of Paper II is to test.
(a) In Trigonometry as un Paper. I
(b) In Geometry.
(1) Understanding of the underlying principles which read the required consusions
fil Knowledge of the fundamental axioms and theorems of geometrical method
(nl) Ability to use theorems in order to build up logical and valid proofs from what is given-
Such proofs should be laid out in an appropriate form-
(iv) Ability to make clear constructions within reasonable limits of accuracy and so justify
them.:
Although the subject is divided into 3 papers, any method may be used in any paper, except as otherwise stated Slide rules, flexible and French curves, may be brought into the examination Four figure mathematical tables and tables of weights, and measures will be provided, if necessary;
EXAMINATION SYLLABUS
ARITHMETIC AND ALGEBRA
nowledge of Primary School Mathematics as assumed
Use of Britain. Meine and Chinese systems of weights and measures Decimalized monetary systema Primes and factorization of natural numbers Principles of simple divisibly rests for 238 19 LCM and HCF including the generar brinciples of finding the HC.F. (Euclidean algorithm
Problems in simple and compound interest, profit and toss, percentage, averages, speeds and retative speeds including the use of fractions, and decimals
Elementary mensuration of the rectangle, trangle. parallelogrant, trapezium, curele rectangulai block.pram, cylinder pyramid right circular cone and sphere
Elertientary 'atgebraic operations. Tomutar expressing arithmencal generalization, change of subjec of a formula factorization H.CF and LCM of polynomial of simple types in one or two variables. including innomials and ab easy algebraic fractions
Solution of "nen equations in one unknown and of simultaneous inear equations in two un knowns and quadratic equations involving only one unknown including knowledge of the relations between the sum and product of the rools and she coefficients of a quadratic equation, the solution of amultaneous equations, one anar and one quadrage: involving two undnowns, simple problems leading to such equations
Linear and.
ad, quadratic inequalities and their solutions
Graphis from numerical and statisical data Graphs of simple algebraic functions of not more than the end degree f
Ratio proportion, proportional parts and variation
Laws of non-negative, integral indices with extension to Fractional and negative indices and negative indices and togarithms including use of the rooi sign to represent the positive square root of "a": where "a".15.any positive number) Calculation by logarithms to base 10 with these four figure tables Extraction of square roots. by factors and by lablesThe long rule is nici numrests
Anthinetical and finite geometrics progressions
TRIGONOMETRY
The six trigonometričar ratios of angles from 0 to 360 and simple relations between inem exclud
ing multiple and Compound angles) Solution of right-angled trianglès, with simple applications, Easy, prob
koms in two and three dimensions soluble by analyses into right-angles triangles.
The use of trigonometrical and agenttimis prigovorenical tables
Easy équations (solutions from 0 to 360° only Graphs of linear functions of sine and posing in
the songe from 0° to 360°
Radian measure involving simple numerical examples only, length of arc and area of sector Sine and cosine formulae and their application to the solution of a trangle, incizading the greates anale opposite the greater side and vice versa, area of a triangle as bc sin A
(Candidates may be required to give results to a specified degree of approximation, but the use of contracted methods of multiplication and division is not essential)
GEOMETRY
Every candidate must provide himself with a ruler graduated in inches and tenths of an inch, ang centametres and millimetres, a protractor, compasses, and a fairly hard pencil. The paper at Geometry will contain question on Practical and on Theoretical Geometry
Practical Geometry
The questions on Practical Geometry will be set on the constructions by, straight-edge and com passe's contained in Schedule A, together with easy extensions of them in cases where the validity of à Construction is not, obrious, the reasoning by winch' is justified may be required Construction lines should be shown.
二期星 日七廿月十年〇七九一层公年九十五國民華中育教僑華
tius a pair of interior angles on the same side of the cutting line are together equal to two night
angles.
then the two straight lines are. parallel; and thu converse.
Straight lines which are parallel to the same straight line are parallel to one another
TRIANGLES AND RECTILINEAR FIGURES
The sum of the angles of triangle is equal to two right angler
in a polygon of a sides, the sum of the interior angles is equal to '(2n-4) right angles
It the sides of a convex polygan are produced in order, the sum of the angles so forthed is squat to
- inghi angleš pagrind
#1 twa triangles have two sides of the one equal to two sides of the other each to each, and also the antics contained by those des equal the triangles are congruent.
'wo triangles have two angles of the one equal to two angles of the other, each to each, and also he side of the one equal to the corresponding use of the other, the triangles are congruent
If two sides triangle are equat, the angles opposite to these sides are equal, and the converse If two trangles have the three sides of the one cqual to the three wes of the other, each to each. the triangles are congrueniTM-
two night-angled inangies have them nypotenuses equal, and one side of the one equal to one side. the other the triangles are congruent
Qau iné straight lines roar can be drawn to a given, straight une from a given point outside 1. the perpendiculas the shortest...
The opposite sides and angles of parallelogram are equal each diagonal bisects the parallelogram. and the diagonals-hsec) each other.
it a pau of opposite sides, or a quadriateral are equal and parallet prallelogram The straight one drawn through the middle count of one side altanate parallel to another side Disect's The Third ude
nighe và maradhat no one murdude.
The strain line, joining the middle, samas ei rwa thei
any cdual; to one-half ov
there are turer of more paraites, straight times and the intercepts made by them on any straight tune tharcuts them are équat the the corresponding intercepts on any other straight line that cuts them
AREAS
Paralelograms are the same, nase who netween theme parallels, ue equal in itca franys on the Same equal bases mo na same tune is equật, en, irea
jangles on the wines of coude masės "ure jathe "ame atifuge
Panangiza Vrangle the quare descried on the nypotenuses cqual to the sum of the squares acscribed as newsex.comtaning the right ingles in the converse
Ine vicis prone point when pauloistani from, we fixed pointy is the ozrpendicula misector Ang or segment, inviting cha ta fixed pointy
When mukaisuäm - Ponte "way intersecting straigne vines
CHE CIRCLE
val esignty, warm lawn from the sentri at forek to visect chord which is not a diameter, waar ingies puni hora converseny the perpendicular to Chard from the centre dueers the chord
There is all circle", ar gar only, which passes through ihrer given points noa in a straight janë Kauai mocás, óra zwese are cousdustani Proin the centre and the converse
The tangent, to any point of cercle and the raditis through the point are perpendicular to each
the angents to aucie from an external soins are equa
FROWO CUCIÓN, Duên, che poihi of contact mes pulsate, straight, line through the centres The angie waučn an iựt of a circa subtensis as the centre as double that which it subienos at any sunt in stie remaining party the circumference,
sagies of the simte segment of circle tre équal mo, at the time joining two pounts subtends equal viļņu ne two other points on the same ude of it the four points lie on a curcie...
Ffrangiesinde gemicircle as engņi, ingle-end, rae converse
the apposite ingles or uns, quadrilateralinscribed in a circle, are supplementary and the converse
Van equal circles 194 in the same cựcigán a two arcs subtenu equal angles in the centres, they are Tas conversely và già (stes, an equal Shey-subtend, squat, angles.at-the "cenite".
an "equal paretes con in the same circles in a two añoras ar equal they qui off equal arcs. Fill con
3 own arch, đực rauas ine, chords of the arcsvare equar
straign und (oucher à circle and from the point of contact a chord is drawn, the angles which Lima (poro" bukes with the rangent are équan co the ingles in the altëmate, segments
PROPORTION SIMILAR TRIANGLES
Transuragni sine sa drawn garnier, ja one var öt klounge one other two sides are divided pro- Jomonaity "ind the zonverse
orresponding angles "gust Thell Corresponding vdes are proportionst
CHAPTER ONE
ARITHMETIC
The exact value of
20 542
9405
20
The value of
45.98 x 34.5 40 0735.07
3170
31 70 3170
to 4 sig figures
3.170. 30.3176:
x 0.2589
The
3 x 1-639 x 3 x 4.99
07032 0.0007032
to 4 sig figures is
7032
0.007032
0:07032
5 x 3.47 x 2 x 1814
The value of
to 4
x 0.4271 x 0.00242
figures
203.0
20300
2:030
20.30
70-2030
6 x 2.124 x 7:54.
The value of
to 4 sig. figures is
3 x 2769
1075
0:0001075
0:1075 0.01075
$$#$#%#%#$%$#$%
罗僑
1971 英文中學會考試題預習專欄
XEM SUNLIGHT PRESS
英文科
ENGLISH LANGUAGE LESSON ONE
27th Der
1970-
This series of revision tests is prepared for students sitting for the subject of ENGLISH LANGUAGE in the Hong Kong General Certificate of Education Examination (English) But first a few general hints
The aim of examinations is to rest altamment and ability. These are measured in terms of marks scored at an examination Every candidate must therefore aim al writing solutions which will earn high marks A prominant examiner, once re marked. The essence of a good answer lies in the method of attack. But o cand dale can only learn up the correct METHOD OF ATTACK through experience An experienced candidate will win far more marks from examiners than will one who has had no experience of working on papers Working through exercises ano questions similar to those sef by the examiners is one and indeed may well be the best way to gain this experience is precisely for this purpose that the presem series of revision tests has been prepared
In the examination paper on "GENERAL ENGLISH" candidate is reated on his mastery of the following".
(a) fbi.
Compretiension of a passage
Points of grammar Vocabulary
The Syllabus for this subject is quoted for your referen
There will be three sections
and I
Composition and Precis Genera English
Composition and Precis One paper will be set
Composition Candidates will be required to write not less thai: -400 words A choice of subjects will be given which may include narrative. descritpave, factual and imaginative topics or argument One or more of the subjects will require the use of the letter form Account will raken of the subject matter the arrangement and the command of Engush
Precis A prose passage of no more than 600 words will be seil Candidates will be asked to summarize either pan or the whole of the passage so as to show the ability to judge relevance and to write a clear coherent precis This must be done in a given number of words not exceeding 150
General English.
One paper will be sel in the form of short questions on various aspects of English usage A prost passage or passages will be included to test com prehension of content and language
Questions on Tormal grammar will not be ses
Oral
(a)
(b).
Reading Candidates will be required to read aloud a prose passage) chosen by the examiners
Conversation Candidates will be expected to hold a short conver sation with the examiners._-____
Revision Note on tai Comprehension of a passage
Passages set for comprehension do not have general uties to undicate the nature of the supjeer"-11 there is one is probably there to misicad. vou
this is well berately done as an extra test on your ability to comprehend a passage. Do not trust any such title ás a guide,
The first sight of the passage often creates the feeling that it is impossibly difficul Remember that this is the same with every other candidate in the examination nall You are not alone at all. Read the passage therefore coimty
After your first reading, reflect Try to think out a title for the passage which is expressive enough to sum up the subject matter in one sentence The best kind of title for your purpose is usually a sentence type..not one of two words. This sentence-title should now be your tentative guide
With this sentence-title in mind, read through the passage again. You will a that you have to modify the title as you go along, as you will discover that there
re points which in your first attempt you have left our or failed to grasp are
With now a modified but expressive title as a guide and with a clenter knowledge of the passage, you can start reading the comprehension questions BUT NOT BEFORE ⠀⠀ If you observe this methodical approach to comprehension, the answers. should be fairly obvious to you when you read through the questions At feast- You should know what paragraph to study to look for the answers If you stari off the wrong way, the questions will frighten you And you would have been unable to remain calm
Remember that comprehension questions can only be answered correctly if you understand the passage If you rely on guessing you will not be able to go very far Indeed the chances are that you will misunderstand the question, which
a very common cause of wrong answers in a comprehension test
Pay attention also to the way the examination 'questions are set": They usually contain a hint to the candidate as 10 the answey expected'
Schedule A For Practical Geometry
Bucction of angles and of line segments Construction of perpendiculars to straight, hog Construction of an angle equal to a given "anglo Construction of angles: 60°, 45° and 30
Construction of parallels to a given straight line-
Simple cases of the construction from sufficient date of triangles, and quadrilate
Division of a line segment into a given number of equal parts
Construction of a tangent to a circle
Constriction of circumscribed, inscribed and escribed circles of a triangle
Construction of a mean proportional to two given time segmentt
Theoretical Geometry.
The questions on Theoretical Geometry will consist of problems (1.0 nders) on the theorema contamed in Schedule 8: Forinal, proofs of these theorems will not be asked, but die problems will 're- quire a thorough knowledge of the ground to be covered.
'Schedule, B.. For, Theoretical Geometr
ANGLES AT A POINT
If a straight line stands on another straight line. the sum at the two angles to formed is equal to
(wo night, angles, and the converse
075
The value of
3⋅ x 11.64 x 6 x 36
4.x-18:47
sig. figures is
POKST
10.42 104.2
1042
10420
None of the above
The value of
4 x 7.69 x 2 x 0.0137
x 27:64 x 0.0038
2.10] 21.01.
210d
0.2101 0.002101
4 sig.
COMPREHENSION BY THE MULTIPLE CHOICE METHOD
PASSAGE EXERCISE NO
Study this passage and answer the questions which follow it.
The uncertainties of nuclear power are ending, and both the hapes" and the disappointments of the early years, are being realised Today nuclear power is becoming commonplace in Britain - Uranium has become the alternative to coal and oil for pro ducing electricity Nuclear power stations, with their towering reactor structures used in streamlined. modern buildings are starting to ring the country along the shore lines,
Already, they have shown that big nuclear power producers can be built to generate electricity on a commercial scale what remains to be achieved is, first, that 1 this can be done at fully competitive rates, and next, that it can be done at costs well below those of even the newest most efficient coal and oil-fuel stations
Here the scientists and engineers have made detailed studies, and they are. optimistic Nuclear p power they forecast will be as cheap as conventional power by around 1970. Thereafter it will become progressively cheaper, with the cost falling below a nall-penny a unit Britain's original Atomic Energy Power Programme - the world's Firse was announced over a decade ago Energy was extracted from atoms to supply industries rapidly growing needs for extra power which coal and oil alone would not be able to meet within foreseeable time For, with the surging expansion of Britain's - and the world's industries and the rising standards of living, the consumption of electricity
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