21 MAY 1968
CITY HALL.
MATHEMATICS (30)
Lesson 30: test on. Paper TII
Attempt ALL questions in Section A and any FOUR
questions in Section B.
HINTS & ANS, TO EX.29
3, 0.6
ac x2 + zbɛa+c) 2 + ( a + c )* BO 7 27182
8, 03357
33:4
10 Let d be the comnn diff
y = common raho By the standard forms of A.P., amel SP
a. aed. 2424.
b. br. br.. d =-1, 四条
d=-13 vy
12, By the property that
prove part car.
日一廿月丑年六九一膺公年七十五國 民革中
英國一週文教動態
*報特約駐英通;何炳輝
女王將在電視
親述君主職務
知,但引起一般關心人士之題,必 共穗,是否爲納局所考慮,尚得 任英國學生,學入上述三大學,一方面是,來多了。當牠出大亳校斯.前任首相杰美
然知
BC及ITV(獨立雙限公司合
工作和逆进化盛子的未來任務。 明年七月一日,登緻亡隠子,將正式 合拍鏌一項還結節目,親自講述牛的日常 英风白金漢宮宣佈:女王雲加S 然的。 ̧册謝鴐英緻衕君,以後便可隨時代無女王
· 執行椎力與職務。瓷邇士扈予的册封典禮
女王駕臨牛津大學
改,選取愛丁公爵近發半的言論
聆聽學生時事辯論
炮惠爾的狳民間懸預期的躪案,壓後
均擁萧二千多名亭,歡迎女王寧臨, 聆鎧一項降粱蔡誦、按:梁不要的時段時間趕去,她除了到墨生命外,受訪 上星期的一天下午,津大學的學生
带给合央行了两小時+,女王挥
還讓旗寨,獲得當局應允,聯合發出一濱
訊。美國在位君王,这宗牛津大學學先會,中執行團
一拿子•參醍校舍與部份女王,便話
期
WAH KIU YAT PC
日五廿月四年甲戊需要
疼三弟張六第
育教慊等
一式,巡幸各地等。」 的,或是由刷直接煮储君的未來任務 棋育中,它接答問答(當然是安排 「目前還沒有知悉,到時女王是否滋惘,戰
「及羅霖的職務,那包括文王官式活動及聞性的紀錄。 盤時大十分鐘之間的特別節目,盡全 蔞 等生活,例如接見外國大使,主持暢黝 牛津與劍橋大學的學生等論會,是 者,當以女王爲首大,這是一項具有史 來,首次担任節目重要角式-緄妆法。敕高的踏台上,两染是正反辯論者,秘影一趟,研究材料,亦可由±儷酐轉迭。追·際電話後,電讠打字機則 | 條便可。目前 這是英國有史以來,帝王參加透明的「,辯論在一般空行,座位排列,也摸FRAPHONE)的顾努銨营。两大墨的親自說明它的安裝經過和理想的用途。 目「演出」的第一次,迥也是女王就映以,她會的字,高宮精們的主席位,在一餾源,墨蘭杯論會,可以直接由此互相:安樾選訊「演戇電話」,只需两蒈 + 橫 假有名的,崙論形式,一如英國國會相似一爲中市](CON 統時,「大學配整委會」主的家, 大學問的新聯繫 一刻擁大學與愛丁堡大學,發近新了
大連間的鄭將餘法,假若遷往一如電話般 他大學將探玩的。 的簡單設備,證明具有術效果的話,共 上急期,在招待配者參觀酒沉聯絡系
。
• W
五寧生。 品作改變現行大學學制,可以玢收百分24 教授,向當局過出一項時,只 要 最近倫敦大學酒墨院法祺系重覺時
.師,僅是參收學生後,政府檢出點多學生 所需者,断不用演有校舍,又不需毌类 在這方面進行徹底爾查,依其語,目前 、設強和被職員,大學津貼委員會,應該 他批評大學當局,未能盡量利用校舍 【學生,泡就學制問題。 一生,而共學生的感耕水準,不裸於英國大 貞 學比較,他們以較少的講師,狄投較多 三 歐洲大學,絕少採用導制度,與英國大 「實際,亦非夺時,其所知,美國花很多 正是舊日致授當灣子弟的辦法,完全不 MV一位愛師,指導幾位學生學業,這 敎學成果,但大學不能循津成劍橋的 每班人數法最重要的,雖然這總降低 【有別假期酒。常黏授時別強調, 加 我投較多人版的班級,勞假日子版,但 英國不應固守傳統限,蹂師們應準備 受教師們所歙迎,但就目前的情况而論, 盜賣時教授表示:這項辦法,定然不 百分之十五,不多是每年獲入學資 *上滿。因撬何砵多了一學期,計可多新 學期上課,三學期放假,而第四學期再 期,放假一學期。此外,腿中的在第一二 每學期也可收新生的)。總之,上
學
設有四個學期時,凡第一際便入學者,第 ▲三年,可以加畢業必試,當一年 吳生一年內只需上三期,上九學期 第四學期。雖然一年共有四個, 期,塔加第四學期(把假日于惻敢爲 一年人多變位學生,一把現櫞每年三 其洪包括两方面:一但對誨師們
研究,如何能够逵到「不可怜而係」的
「正是談何容易!是引起了一些堂育家的 一經濟困難,埆達大學校舍,延攬際師, ̧學豪位,近容更多預科盤樂牛。但英器面 崇寧極大損失。補救辦法,自然是加大 福。教育家早已指出,這是種無人才,
|學資格而未能進入大學染業署,數以千計 软步令坐。據當局統計,每年求獲大華餐
英國大學,缺乏很多學位,以容納
增加學位辦法
倫大教授提出
日,陶時定然引起世人注意。 製,務求善盡嵗,這是一個無史性的節 新丽官。預算作一年時間的澤影拍
·括两宗電視攤牌的節目士持人,女王御用 會主席,由王愛丁堡公爵担任,委棗包 一組想了一個姿過前,處那有關事宜,委員 爲了安排及拍製這個特別節目,常易
[GEN (TUTORIAL SYSTE
事生,最多是三百六十勝。由此减來,韓 ,每年最多可耀三百九十五,其他类 家庭境而定貼。牛津、劍橋、倫敦出生 領有統府生活津,津貼數自學業,其
6+42
*
1 ZNZ
2, -1
5
1968
英文中學會考試題預習專欄
數學科 (三十)
歐陽路交
ANS
Time allowed: Two hours
then we
com
→
-
can.fnd
(b)
Let
思
品
the value of x.
2
say when
x sa
ANS
300
when xsa.
<b>
a
Specia
V
Ans (-3, 23.
atkan k
- G C
curve
-
curve,
then
ANS. 0.18
語: (a) By
def.
(b)
-
-
-- -- -
--
- -
-
PROVE
Sa mg
templ
-
Imple
"
Section A (40 sarks)
Credit will only be given for the correct answer.
For questions 1-8, put the answer in the apate provided on the question paper.
Any working may be done on the last few papers of the answer book but will not be marked.
1) uaven a polygon, put a tick " we in the box opposite
to one of the following addition conditions which will be sufficient to show that the polygon is regular. (a) all the interier angles are equal. (b) all the sides are equal.
(c) all the exterior angles are equal. ❤ - (d) all the diagonals are equal.
(e) if is both equiangular and equilateral.
2) Given that two chords AB and CD of a circle,
intersect at N, put a tick "" in the box opposite
Bach of the following statements which must be true. (a) AB= CD.
(b) ABLCD.
Jak
(c) NA. NB NC. NO. --
(d) A, B, C, D are concyclic. (e) ABCD is a parallelogram.
3) A and B are fixed points; AP is the tangent from A to
a variable circle, centre B. Find the locus of P.
ANSWER:
4) How many unequal triangles can be drawn auch that the
lengths of two sides are 4 ft., 7 ft, and such that the length of the third side is a whole number of feet.
ANSWER:
5) Five of the angles of a nexagon'are equal to each other and each is greater than the remaining angle by 72°. Find the size of the smallest angle.
ANSWER:
6) Put a tick "w" in the box apposidé to one or the
following obbreviations of theóram which is equivalent to the statement:-
7) D
The three medians of a triángle aré concurrent.
circunscentre theoram, --
(b) centroid theore緻,
in-centre theorem.
orthecentre theorem. Ex-centre theorem. --
-
-
- -
M
are peints on the sides AC, AB respectively of ABC such that AD = -4 AC, and AE→→☀- AB. If the area of AABC is 18 sq.cm.. find the area of A ODE,
ANSWER:
uraw rigure to show what is meant by "the ambiguous
and state what facts you associate with it.
ANSWER:
9) Construct ABC such that BC = 6 cm., L BAC = 90o.
*Ititude AD = 2 cm. Measure AB. AC.
MEASUREMENTI
ven a point A between twe given Jines BC, DE, construct points P,Q on BC, DE respectively, such
́ ́APQ is equilateral.
Section B (60 marks)
Do any Hola questions from this section. Start each new queation on e haw page. All necessary working must be clearly shown. Marks will be deducted for poor presentation of material.
13, ray-f
(C) 2700
10"", by log- table, we
14) (a) Both graphs are linear
162 The graph is a
Add the linear graph grax to the given
the pt. of intersection gives the
roots of the equation
d me.
log
y=¿d ***), and
x=
boy far.
· leg a + [1 +24....... * c*-
= n log a + 20:1) Log X = RS.
be the distance between X and Y
And let the trains meat tå, after 1·15 p.m.
speed of 1st train the mph
d
1st fraw covers (4) mai 2nd tram covers (35) (1=(4) mi Total distance = '+ $$(t− x}) =d
196
ANS.
3:39 pm
HINTS & AN
(8) (c), AdĮ.
3) The Locus of fis a circle of Lià. = AB, 4, hat x' be the length of the third side.
By the themem of sum of any hiáo sides of a
triangle together is greater than the third side.
447 >1; 4+157 rec
Then find all the possible values of *
its
Find (0) 4 AEC, then
to B be form
101
雪
ither supp.
test of æ áƒ
OY
#
• CDE
anght: 3.
semicircle of dia. = BC
4 AF B
Hin
MANE. T
( COMMITTE OM INTER UNIVE
第在育
撥選把個理的
柑橘撥 超間攪發演人
號冠牌也機單
收
臨務。
期文文,口難言。 關閉多以時露,平日對政府持施 星價問題,另一方面律貼亦可多張一點的路間到會時,各學生起實在敬,繞業區性 外,長橢一座電子打字機。「機發電器」繞,並讓「攬話」傳 一更莎願。這次女工說,學生們就的可用一些附加爔器,
「 講者,所以口才潑熱難者,不少弄至究,現劍橋與愛丁採用「殺電話」, 是),每次蚓翰,終不冤衮出 谢辮 - 有時像大可以同時收蹲,甚至科基實像,亦|乎經濟原群。專家 則形最新的對衡。 日颔察,即聚政府或支持當局者,虛拾考大學的爆程,學術演講,小組研討會,進一般的收費,是否會 一的批評很是平常(英國營論絕對自由,參觀。據說,利用遇中投業,將來一間以清晰無,長途電 ,聽衆亦可依铁序的免予意見,重質詢演「橋俊人力。大學設二電慣將,創時已有研 地鮨本立轉駁站。 -教育家、肚會名黃到來讓他發加的是加強聲,另一方面是搖畫行政效灣,的重防鴣露,在還立 聯ㄛ,站在食營造口晚,歡迎嘉变更担任成一個大學阿盤網(ㄟ控:女商大學,同在一起的,將來要推 對禮服,此外更有两位與游禮服的學生會學,亦將依次安裝过搵「續發實話」,但堂,具有三來實紡織 化滦大學經營選精緻會類、政治、經計劃組織聯合管班行政規,一方面相信需裝設立一個精 ,對正ň席位。汝房和恐加茶論者,均穿上中,若日後為標效展良好,英用其他大大學,减少一個有 * 帝硭禮堂中央,而正嘉究席也在雅堂中央| 黃河,極已進行試檢數星期,現仍擔廣試一的困難地方,是符通》 致两大环,挽天特別邀蹼输出界,握發覺酸」,看否的
「要一破一個地區,如北部,中部等,這成聯將米社區, 距想的大學,利用『
部晰、
底速驗
與苦別子,話
普通的打換,
物
電話方援到上話話肘 1 ?
「訊,可送高度海燕,
『究示呼話以
則究
英文中學會考試題預習專欄
英文科(三十) - MRS - BENNETT -
1
2.
English (30)
Answers to Paper 29
John is in his father's disfavou,
I can remember when I was a child we had hardly
enough money to cover expenses.
3. Everything he does is honest.
4. I wonder whether he will ignore to my mistake.
SAMBRARIES
ambiguous
ANS.S
the Cemicircle
A. Draw
on st. line BFC Describa Circle AFQ to cut BC again at po Then, 4 APQ is the required Section B
1 Join CB, CD
* A&C = &H+ «ABC.
where
C b
can be measured by
Eminor Ma
*
ADC.
But
ok is a
BL
BC · BA bijela.
5. I have not yet decided whether to buy a new car
or not.
6. He said he wanted it down in writing.
7. I'm afraid I've diaclosed the secret,
8. Confidentially I don't think that, he will be
auccessful.
9. Unlike me, my father has a love for music. 10. She tends to do everything irregularly.
8. L. He told me that i could go, whenever I liked.
2. She dances very gracefully.
3. The mayor is a very popular man.
4. The prinḍipal as well as the teachers in here.
5. Though he had not done his work, the teacher ald
not scold him.
6. The honeymoon couple was given the bridal suite.
7. He tožd of his being robbed of his watch.
8. Blood is thicker than water.
9. This is a mistake of identity.
10. He was so poor that he died of starvation.
11) Mis the mid TM- point of art AB, MC, MD are any two chords cutting chord AB at E,F respectively. Prove that CDFt are concyclic.
12) In ABC, BAC 90° and AD 18 an altitude. IT
the bisector of / ABC meety AD. AC at L. K, prove that AL ID = "CKTKA.
13); If the in-circle of ABC touches BC at x, prova
that the in-circles of ABX.: ACX touch mach other.
14) P 16 a variable point inside a given equilateral
triangle ABC; PL, PT, FZ are the perpendiculars from P to BQ, CA, AB. prove that PI + PY + PZ 1s constant...
45) IN LABC, LA is a right angle; O is the centre of
the square BPQC outside A 18C, Prove that 40 bdaecks / BAC.
16) Genstruct a rhombus having each of its sides equal
to. 5.om and equal in area to a rectangle whoma dás are 6 cm, 3 cm. long. Hensure the acute
of the rhombus.
- AEC which is — MAC
KAEC wh
14, 4 ABC — A ARD:
In DBAC I'm a BAD.
<D is equs to I MÃC. D. F. E,C are concyclic
BA · BD
BC: BA=CK: KA BA:BDw AL:LD
AL CD CK - KA.
13, hat P ba the in-centre of ADX. Q for AACH and let circle p touches AX at M, 00 # NĮ AM Ź CAX + AB −8x), AN≈ & CAX+AC~CX)
E
AB - 5xw Acrox
H, Drow AD 1 BC.
AM=AN
<< ABC = A PART < P&C + aP CA AD.AC = ㄞ蛋+ PX BL + PY.ch Henue's PLAKIA Pa = Altitude
* Conchant-.
15, Dreur OX L'ABU OY LAC produced if necessary.
AXOY is a met
* BOX F à coy (AAS).
Ox=OY
o lie on the bisectñ #BAC.
26) Draw meet. ABCD ( given rech) ParProduce AS A Ms.4. BM=szm. Complete the #gram AHQN
(4) Find #gram CPQR of one sida
equales can.
a thombus qual
in area to CPAR (4 CH50)
C. L. While driving homm yesterday he met with an
accident.
2. Don't meddle in other people's affairs.
3. She tried hard to make up for her earlier bad
behaviour
4. He made after the burglar.
5. When dawn came we made for the nearest village,
6. The notice said "Keep off the grass."
7. Another one said "Beware of the dogs,"
6. There are some veople who cannot bear to ce made
fun.of.
9. She keeps annoying me by jeering at me.
10. Keep your savings in a bank is good advice.
D. 1. He interrusted me while I was speaking
2. I have fuat enough time to catch the plane.
3. He told me that when I visited him yesterday.
I have not seen him since I was a boy.
5. If it had not been for me you would have run over
the child.
5. Once I have heard a time I never forget it.
7. She was doing her homework very well until her
nother switched on the television,
3.
very quarter of an hour the clock strikes.
7. If you concentrate on what the teacher is sayinı
you will learn more.
10. Please speak up so that i can hear youe
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