二期星
1980 m
BAR P2, Mà bé de 41 12 $ 54
WAH KIU YAT PO
(x)' 30 ji? (2x2 + Jr 11, nd the values of when
y.
(b) The curve whom equation la
報日僑華
and
tt 4 4 2
HONG KONG CERTIFICATE OF EDUCATION EXAMINATION, 1977
ADDITIONAL MATHEMATICS
PAPER H
̇附加數學
試卷二
Two hours
EVA
169THE STR
11.15 1.15 p.m.
你送我的中央份得
· Ax3 ́ +. Buy + Œ1 • •
where A and C
Show that
q
contents pass through the points (1, “y and Q01, -1).
If U gradient of the curve at Pts What az el dia conve
(a) if can'= 1; where i
4. find the values of ♬, and, C.
FT, show that
F2 —
M
种柔性提子之一,證調詳圖一麵,是 -***=£±RA - 2000 AN
ROKARTANAZARI
TRES FUNDESAMBATA
別
*
ALEKARZANA ALINA T
This paper must be answered in Chinese
(b) Using the results in (e), or otherwin, determine the values of A sad đị nơ that
.
Using the result in (b), or otherwi, sofue the aquarion.
rt &
HONG KONG CERTIFICATE OF EQUCATION EXAMINATION 1977
附龊數學
ADDITIONAL · MATHEMATICS
PAPER I
Two hours
8.30-10.30 a.m.
BAR) 404-05
This paper must be avered in Chinese
(4分)
io (24)^{1 + 1}' #6 -2##URES
(2)系跟轉,40000 三年饪於銀行卡部。 雷瓦年之門路2噓判汁第一次;睡五 20% DNEMAN * — * + + *EZENDESDET KERUUMI
z
:) (mm) RH+2=8% F(2, 0) #6 / N¤· *- • 20KR)
TamerZAANBAAR QUA
11143 (2x2 + 3x
(b)已能進誨之方程露
752
減斷
12 cd S
* 12 cos
',
分
21
•
LLACH = 90° R MAR 2018-
日一卅月五年七七九一公年六十六國民華中 育教僑華
10.
Figure 44tch Joswing a bankje, m
mera zver wing at me The
bridge is 300 m bila and a 41 tight angles
to the banks. A hegy and a girl leave Fai
the same a Für diens desvõ«von R.
400 m dianalean on the oppuste hanki,
The bay ides a buycle at 4 'mus. Fizat
to the brade and shers along the
tank. The gel poun a boil so that the
huat muves along PR with a poté of
Ins
Fund, graphically su vaherupe.
bazia
Foure
the deton in which the gal stets the bust.
DE
Th
the forty of the Buat selative to the bacycle when the bicycle on the brede
+
יער
75
JI 739
3 31
750
the dance between the boy and the gil at the assant when the hop passes &
*
195
Foure'>
Sorrent
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ASCO ÉW4RXTRAZEEZMO ÆLA MAN: 13
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360
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ka
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MARGAR AMARANTZAR
Thu 20 30 14 6 16 14 - SE 1999 MIKLARNA?
12.
„Figure 5 zu a sketch is side. The part # van be taken as an insured pharm. 5 mà trong and 30 to the hemzontal, and 10" is a buttal extension of tength. A boy' slidey Gowa Erasin The unly resistance to Motives the mark just contra liv stop as C' after a seconds fren between the bus and the sale. It may be assumed that there is no tens of speed us the bory panse B.
best
in) Find. By the principle of wisesatuan di kergy of otherwise, the efficmni of region.
the Calculate the accelenms of the buy down the slide and retardation on the berrizontal
Talemin
1)
What at the value'it z'
A bond of mais gewen tror verticals downwards into z fiker wooden fuck by vehicl how la kaniner tit amass 15 kg. The bummet, after stukung ihia Baik, moves is together wath the mal song both coine to rest the retinue of the wood spazial penetration is 40 N. ind the speed with which we humei tuls the 'uns!
A sauda ne is kuvan korizontally into the same, wozden block by a hecernenat blum "ul tie same with the same speed. The vapen agam proses kogether with the owl after the impact. 11ow far into the wond the nak diren'
END AS PIPER
LTRE
HONG KONG CERTIFICATE OF EDUCATION EXAMINATION 1977.
ADDITIONAL MATHEMATICS
附加數學
試卷一
DEZE
ETAB F# [15
PAPER 1
Two hours
8.30 a.m.-10.30 am.
This paper must be answered in English
ABOUT ALL. Quamtions ni Section A and any THREE questions from Section B. All working isun be
dewly shown.
DERERAKENDEKÄSI - ME »
SECTION A (40 marks)
Anon ALL queeslow the Section.
Different from firme principles
Given that a, b and w are red numbent, prone that the tons of the equation
T
State Une condition for Ust-roots to be equal.
Fand all the values of a whieh satisfy
packa
(5 marks)
G+ m2 536 (DR 2x +5 >7.
{ murki)
* 12' comm+ 3 mo x ́s à un (x + 4), find the values, of, A land user,
pozitier
MMANDSKE ZAMIAN FAW » 2—10 NIZMONA-R224B CON
• 4 2 1 2 3 4 » LEAN TAPE MEDITATIE M
State the greatest value of 12 cona 4 5 xin x.
If the functional ana e Kos 2 safes the equation
附加數學
Leon B. com 79
試卷三
編集及
绌曲躏之名需减衍中,
誌屮
2 cm ;+m
4. cor
HONG KONG CERTIFICATE OF EDUCATION ÈXAMINATION 1977
̇附加數學
試卷二
44
Angwe; ALL qusations
ADDITIONAL MATHEMATICS
PAPER 11
Two hours
11.15.15 pm
This paper must be answered in English
Section A and my THREE questions from Section B. All working mat
beckily shown
SECTION A...
(4))
Auswer ALL questions in Uls Section.
Pad the eqpellons of the straight lines which touch the clacle
paralel
to the – 24 + 3 = 6.
(5 min)
(2, 4) is a point in the curre
- 90.
"Find the value of that point.
3.
By the subution of
• a pin d, evaluate
(5 mask)
(6 mi)
( marka)
The bounded by the curve
and the t-am le rotated shout the x- Find
the volume of the solid gerberated in terrea of ■,
(marka)
So that 13-in deusible by 11 for all poutier integral values of is.
(Not that 21 = {* *}
In Pure 1, the complex numbers to
2nd 14 met represented in the
argand cagem by the vertices of a regular
pugon with centre at the origin 0.1
201, write 9 in polan form and calcul ate the value of £7,)*-
SECTION
(50 marks)
10.
(0) A 15 1
12:26 19
where 4 and ♬ are constanta, and if £4,2 when 1 À 0, flad the values af. A and B.
( macke)
find the wea of the parallelogiani-formed by the followin - Brught lines:
3x+4y-12 -0.
HONG KONG CERTIFICATE OF EDUCATION EXAMINATION 1977
ADDITIONAL MATHEMATICS PAPER III
Two hours
11:15 1.15 p.m.-
This paper must be answered in English
Auswer ALL questions bu bey boun S. and was THERE) andatang, Pen: Neutsun 19 All working mist he sais
ww
Take the salelewingi due to prawak,
and the
9-3-0
Do Figure 1. A. & and the foot of a vertical tower CD be on thonzontal plase, LACB 90° and the mal point of AB. If the age of elevation of
♬ From A. Band -51 mm 60′′, 30° and mspectraly, find the value at any d [The mawer may be lelles surd f1.7
SECTION B
(60 marks)
Away THREE Quemons from this Section
SECTION A
140 arkad
Aswar All questions, as thes SecuRAZI,
41 what migh suast kwa kosters of of love on
10% and 12 8 be unutined to caeli infies it they we balanced by
$ markal
&
A has a meghel sat
at a length of Fin Tan hinker's weighs 3 and 2 “plard une at zád card it the zini, kath the aetate between the centre of gravity of the kuadir»).
the centre of the tag
Each question carries 20 marks.
(marks)
¿ marks)
(5) The coordinates of the points and Q tre (6,4) and (-2, 6) respectively.
point on PQ such dat
Write down the coordmiler of T in terms of
h). Given two straight liner
15 marks).
Then a visual and interentral asty. Bi radyos at the whed » Novin and the radis ol' she andês are
At an often se § is required te lane a bad ofte k, rind the mechanical advantage and the
then tite machine teer' alias kaal.
fe #liki
Tolgate ). 4. #and are light inctless pulfes
$1 ayed An châs pà 17 4 kN 15 appli za katet i brad est | LẠ Jam vero. É and
the kache energy, vit the fund pliep the
orj poseal sŲ JUDETZ
cathl
Bug pan of a ponteneɔ, the widowaty on
2 YEAR IN CADstant je sa kin 19 and die
pier at the engur n 900 kk. What ev
she estance the main at the
Jury is intend
GI
Trad
que
fund the equation of the line ̈ Z, passing through che interecwn of L. pad. Es-and. peper to 20
(<) Uang the results of (a), or ulhere, find the ratio in which fo, devidae: PC.
ff com a and con. ♬ are the roots of the équation
kurk
express, and, in terms of sun and son D. Hence prove thai, 18° 4, and use the roots! of the equation
then he leantan
by
• ABCD 14 - 13 MM JE NA Jam & 18 m :. POM 16 39 - * * * 2AM (ORE) ZANA
-
PRS AAN • c&
I L
港學魽
Wider, nauing limuzontally at-2 m/s out of a jet at clustizzian JOKI (zm” tuistes a perisad wall st #ngler Alter impact the water uns vertically serwis the wand.
may of water 10 kg/5.
fak Fand the hostesmala) momentaṁ sol the water destroyed per seconil.
thị” àund the Mânemal toscc which the water get events up the wall
ie mutu
The angle televältant at a po, wach line-dielk unifi a quazak sekway of 280 ŋus, may vary Tom 15* 19 60°. Neskorture at peskanje, rookie movams and manum langes us the hom
Hĩ x and y real numbers such that
-434,
(=) fad rest numbers a ayd à such that
(x − y) = b
(i) find the values of a and y
(b) Solve the equation,
HONG KONG CERTIFICATE. OF EDUCATION EXAMINATION 1977
附加數暴
ADDITIONAL MATHEMATICS
SECTION B
试卷三
PAPER 111
ENER
Two hove
FILM-ERLAND T
JEDNO
11.15.m.-.15 p.m.
Н.
This paper must be aarwood in Chines
(6 marks)
AT 20 MG JE ME ȘI z-9 mặt” »
(6 marks)
NO (400) AMALAR-
en-USA FANNIIN - KAZAN-INZUMS - ARN=DŻNA -
Figure 1
Anny THREE quastives feores this Suction. Each question carries 20 marks.
8. () Expend (1 + 2x}° (1 + Je** In ascending power of as far në Une testi containing z′′,
(b) Hence calculate, correct tu 3 decimal placea, the value of (1-0506),
(*)
9.
(
A man put 140 000 in a tank for a period of ten years. For the fired five years the rate of interest 2% pa. compounded youḍly; for the next five years the rate was 36 p.a. atmo compounded yearly. What was the emint at the end of the ten years? (Give your answer
qnect to the demarat diéta 1
- A circle with centre [w, w) pass theough the pain: ♬ (2, 0) and touchen the y-axis.
Find a relation between and n
(b) If the diameter of the zirela in (a) through - the cache again it & {0, 1},
(1) expre in terms of m
(1) kapets in them of
[st
Uing the trait of (*) and 13), find the equation of the foam of Q when vi and a
kay
10.
In Figure 2. A. 8.
med D
the story pints of the cuTTS
y = xlx 7'.
Fad their stegies.
(b) sting 7, or other
(c)
wie, fnd
face
-7.
Find the ut vize of the shaded
regloth.
fure 2
******• ME UNI KRUHUNTER - 26 FL ---
(9)
<<< IN DE IN RAZEN •
(#)
160 marka)_
Answer any TURLź uuestions from this Section. Each question ounes 30 mako
In Segure 2. a bwass vf mass 1 kp attached at The end of a light tresteniable sinng a placed Langh plane inclined at 30° to the
I The string passes over • sanoith pulley anda masa el mi gram is attached to the other end. The pontian of the pulley can be adjusted so than the angle, a between the inclined plane and the stunt can vary. The
· fołkoway labie pves the intues as my 10% as juss mewn the body up the inclined plane
Carolum vf ↑
tal
a
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(#30)
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10
15
20
30"
33
坡
745
MA
30
715
75€
720
794
Plot a staght of in æntist 2 and bebe deduce the value for wind, is the minimum. What as this moumum value of, m?
.
lung The results obtained in faj. find the coeffluent of fractum between the body and the
led plane conect to une decal proce
9, Fun shows a uniform rectangular staling
door ABCO DI weight 37 newinas, supported at the comen A and B và two rubers, both unning on the immt gesove track The after ata is smooth. The coßer at ở is jammed. and can rate; a coefficient at faction with the track 16 0·5. A horizontuð. Ksize of
mences Happlied to the plane of the dout at M. the mid-point of BC.
(Thot: You may fast food 2* and then use the setirits sc(JŤ
11. The equation of a came in
12.
fa)
Find the points of intersection of the curve and the x-axis.
Find the points (x. x) un the suve mich that the vakare of 39. is a midumami di k
abm.
Can Lungent in the curve be drawn parallel 10 A*****
Give reasons.
(d) Sketch the curve for values of x from
Figure
Is Egure 2, the rectangle ABCD kan udes nf 18 and 10 m The rectangle IRS is such that the shaded area has a uniform width of
metres is shown.
(a) press the sera of the shaded region re terms sal i
If the shaded arre 19 of the area of AACT), calculate the value of x.
The ance of PURS varies with time such that decrets a constant jase of mis.
If thally 4, find the rate at which the shaded area is decreasing when it
the sea of ARCHI
of
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тая)
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DIMEON MALAGA ART-ER
MAN MEN MED EN FAACR2 = 10' \qgm2= }
Cap | 410 24 MARZIIMAL-
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(61
(3)
Brizontal
'
t
Figure
{u} – Stare, with inaons, whether the normal reactions at A and 8 de equal el sapratade në Hul,
fakultats are not requatď.)
(b) Calculate, in terma ut W. the leat value of P which will move the dom in the decisan AB
1} Cakulare, in terus and, the least value vá ♬ which will invve the skoot (ɔ the direction BA
END OF PATEK