CITY HALL

莫三張第

日八十月四年未丁居

WAH KIU YAT PO

群之中學F]'金繼賢

Ë英蓴科先脩専欄逢星期三五刊出

英中會考數學卷三幾何

從73*6鳅去2642。

45 6月2009撫霞若干?

糠習三

中文詳解

(3) 骓聲絲有郵)248個,他該弟弟48個,問選輸部若干?

學號有21日,若某生缺席B日,問或生共工若干日?

(5):一圈裝配有等186本,若已借出976本,問金餘略者干体

(6) 茶悖鑑於四時四十五分停止,而於七時卅分進行,問錶傳了若干時間?

(7) 無列今年1度,而她的母親今年46號,約當現署列出生之時,她掛號的年歲爲者干?

CBJ保韡有波于56粒,他將一一送給妹妹,間保雜還有波子若于?

09 三油共真16路安士,若第一籲油五445安士,第二權油8磅10安士,第三嵫油燕。 「(0)每天於1984年出生,隨他於1963年保機歲?

(11)茶琳足球比赛每天有131名,若持有預售與者有596名,而其餘於入閘時買網 關入鬧時

,宜架者有若干名?!

(2)四棍的反度爲10月27吋,若第一號費36期9吋,第二楼第45屆1呎,而第三校登3842只 一吋,開第四楼德長若干?

(18)我有393元今4億士在於銀行,後來取了199先今8傑士,閩還餘若干?

(16)余3厘46648时2号13702呎9吋之蓋,

映,而四周五县爆的長民爲苦干时?

(17) Fill in the missing figuranj

2 O

£ 5609

1032

(18) 9537-5328-1987=.**

(19) 8601-4982-163=..

(20) 56792-3683-4999e.

13_6:09

TMATHEMATICS, Syllabus a

VPAPER II

Geomessy

Time allowed - Two hours

Candidate No.

Allempt ALL questions in Section A and any FOUR questions in Section

SECTION A (40 marka).

Cradit will only be given for the correct answer. For questions 14 f,” put thư”

answer in the space provided on the question paper. Any working may be done on the lept few cges of the answer book but will not be marked,

1.7

Given that two chords of Wicirela are equal, put a

** - in the P opposite wach of the following statements, which must be true.

(a) they intersect at right angles >7......

(b) they subtend equal angles at the centre

(c) they ars equidistant from the centre

(d) they bisnot each other......

(a) they aza diametern. Ja

□□□□□

** in the box}

Diven that AD is a median of any triangle ABC, put a opposite each of the following sistemanto which must do krku. „šką

(a) AŊ bisaċes the ares of4485

(b) AD blasces

BAC...

AC) AD : AC = BDDG

fa) AD blaecta' BC.

{6) AD is perpendicular to BC

□□□□□

EXERCISE !

(1)

Take 3642 from 7326

42

What is the difference between seven Thousand five hundred and twenty-six

and three thousand and nine?

(3) $1ice had 243 stampse

(2)

She gives

dozeń stamps to her brother.

stamps does she now have?

How many

43).......stamps

(4)daydı)

(5)........DOOK

(5)

There are 121 days in a school term. If a pupil was absent on 28 days, on nowmany days was ne at school?

A library has 1,836 books altogether..

If there are 976 books are out on loan, how many books are still in the library?

clock stopped at quarter to five

again at

and was

past seven in the same Kfternoon. for nowlong as it hot going?

11 21 years old and her mother.

c3d van her mother when

Mat vas born?.

(8) Paul had 56 marbles. Be gave e quarter

of tham to his sister, Bow many zárbles

[(9) ► The total weight of three tins of dil

fr the foirat tin af

1b. 5 oz. and the

HONG

(2)

- Plpage turn ovary,

Puna "" in the box opposite auch of the following statements which is equivalent to the statementi

A, B and C are points on the same straight line with B between A and CJ

(a) ABEC

(b) B is the mid-point of AQ

C) AB + BC AC

{d} < ABC = 180"

□□□□□

(e) AB: BC = BC : AC

Given that ABCD is a rectangla, put

"In the box opposite to one of the

following additional conditione which will be sufficient to show that ABCD is

• square

(a) ACBD

(b) AC perpendicular is Eg

(c) A,B,C,D concyclic (4) AC, bisect each other

00000

日六廿月三年上六六

四公布六十五國民常性

於社會秩序之維持 長及學生本身 均有參考價值 亦有助 由港九敎育協會提出 對學校、學生家

自二點可

非常時期之維護學童安全辦法

炒低觀音

[灣鳥飛來,免被

::四十三)在公共场所們有人批評時出

*牌初盛典·.

尤不可走出門口的寫情

左右之人雙峰前有問題,宜無黏性 (十四)於交过工美中,荷凤前後成

【方祖(日前主管述及在 返家, 必事腙期,繞酒融逢音私校提早教學(因 (二)未知學生,凡親及街, 硭中斥者之,殊堪憫借,本港裾忙致育協商,推定「甜麼學財安全辦法」供會 【特訊 醫太法近日之嶺到事件,一憫估,台本「純致灣」之守塔,以愛護 六 有之,因人阿通來而特砍受低著有之, 但若安人之調整,把前會長,有主席首 是 卡參之祀款,類人缎助而返家。” *台 優先著,杲立熙迷湖有之,随六潮安肫 保下齦之厚度,亦浚池魚之殃之情形 - 宋 人鄒凍室,無稚生腿部保铷敬,骸尘可惑 一 會主席包力行,她在純率變習界幸沸,韶一家長學生參考,誤點女,列舉如次」,發生危險,領取太平采兒童遊戲,在邳箱 有時,而道常放平之時,風見極熱學益,但對于今茲市上連續談生之令常事件,致上 姓名、住址、莫一某一時期,情形燊照, 宕,康其驚奇隊長: . [一)躕示知學生,下傣之後,朗行下泥中挖出手槍多棲,子開發,其中 影响社長序,日前常形然亞之時,人湖廚爲職旨,工作之推行,九年如一日, 中坜一卡片,上钽然车之家憂名、校名, 報察長1米長無電話,則熱合規发阵 一個綠炸幣,則該幼童豈非甚易受低?

〔六〕示知粹生奶拾取路上選呦,發

【五與製品造商,一生之憂香菜已開始,可於近個旅馆,商店之電話 市中歹捷察物。 .〔十八)膪在放學途中,遇變成張 (十七)旗游骢水摸魚,陣發滋事之 ◎在萬國泰油,美宜注就交通

我還改有司,以符教併,而輕安任。.

焕安事之路商辙。 ( ) A醃形類,宜派员引瑯學

《十二翼件如生,不及放學,並

出受营,另方面日行通知家長(李可校方 二街外又遙遠,則廠營發學生在校,勿微外

其勿辨非當日應用之聲精,減少與魏之勞 ,且亦獲于本附筷性神”。 (一)雅年學生,年女步,宜

一有類與流寳藥,交通工具蝕少,下牛阿學人慕家爭,不宜為餓,以兔被人誤鹦,浪”(七)勿被受不相缔之人之朗托,而

代其換物

於公共所作任何批評,射

樓轕說七八崗之紡究,幷元發汗,人一起誤會。

·期,作離家

卽期繞路,從安全之路评周家。 米導。文館-《上幣 五,兒鶯款,日前某地不快,本國只在茶,幾中與同季追逐亂跑,以免娩附聰聞, “艾版短会员學校,對于雅學生 〔及強街菜,

【九)初在路上叫嚷膑晒,以免誤會

、校考採用。〔兄 J █ 按粥九敎育協會上述辦法,對于學音 安全及社會秩序,均有裨益,似值得各 照料之勞, 不可分學生出外受整醫檢

(十)於煦中行走,宜注宮有無物

In figure 1 A to

ADS DOU-GD

D. ABG a straight Itse such tha

CDB

ABCD. Pj a point an AD such

30 4BQgU the area of

LIA PDG:

"Answer

接第四張第二百一

英中會考數學卷三答案

question 4: put

in the box opposit

of the following adstiliónal conch terms !

which will be sufficicat to show that ABCD 18

Hence, we ford

a splease.

for this question

AE touches the circle ABC

AD = DC

XY a tangent from XX, If PO

from XY.

P is a point on the circle 18 in. circle, státo the distance in inches of

Answer

AP,B,Qare four points, taken in order, on a circle, such that AB is a diameter. PAB 28 QPB = 42*, state the size of the acute angis batwain the lines AP and BQ.

To find

<AD B

DC, BRS 13654) tang

on Sy line

the third one?

(TO)

BAB VES born in 1934, how did vas 1A: 19657

(11) The attendance at a football mäten vas

13,212, Ir 5,926 were ticket-holders

(and the rest paid at the gates, how

many paid at the gate?

(12) The length of ti 83 136

If the length of the first 35 yà. 9

雞 aaoond was

1 ft. and the third one was 38 yd.

...wwwww the kength of the fourth one?,

(13) I have £3 98. d. in the bank and

VITAOTAY 518s, 7d. 'and'9s. Bd.

respectively. - How much is left?

14) Bow many minutes are there between

9145 a.. and 1.35 p.m.?

15) One side of a rectangle 16 20 Ft. Lang.

The whole distance round is 120 DE. the length of the longer side, Find the difference between 3 mi.

456 za in, and 21. 1,370 ya.

yeard old.

(12)

10

The radius of a given circle is 1 inch. Construct, with compassss and ruter only, the locus of a variable point from which the length of the tangent to the wircle is, 2.4 inchan,

PQRS 14 * regangle such that PQ = 1.5 inches. QR 2.5 inches. Conig with compasses and ruler only, a equare ABCD equal in area to P Masaurs AC. (No description is required; but all construction line r charly shown.)

SECTION 80 maks)

Do any FOUR questions: fwth

All necessary working must be clearly

presentation of material.

new question on a new page.

If be deducted for poor

The line through, 1

1 in the centre of the inscribed circle of AABC. perpendicular to IB-cute AB at Padd BC at Q. cular to TC cuts AC at R and BC at 5, Prove that PR

The line through I perpendi

SO..

Two aircles touch internally at A. A chord BC of the outer circle touches the Inner circle at P. If AB cuts the inner circle again at Q, prays that (1) A APQ and A ACP are similar.

AB

OA, OB are two perpendicular radii of a circle centre O. A chord PQ, 1, parallel to AB, cuts At GIIM is the mid-point of PA, prove that

() MC Ma

d=57

ANS CDB=572

Gen The ABCD MAIL BCA KB

4.PD

To find

DCNAB

DCA = A ROD

PQ

Recente of the curch of racis touches

is a diameter

PC LXY PC=18

QALXY;

QA

Please turn över

In figure 2, E is the mid-point of the diagonal AC of the quadrilateral ABCD REQ/AD, Prove that:

(3) 3684

(2)

200 templ

ti Quadrilateral ABED quadrilateral ABCD.

(13) 93 days.

15) 860 books

(81) 42 marbles.

(11)-7486

(7) 25 years ok.

(10)31 yeara od

ABCD is

Gif BQ biele quadrilateral ASCD

X 14 a point on DB produced.

AC cuts BD at Y, pro

that:-

[(13) £12116, 18

(16) 845 ya. O ti.

[017) (6) 8639

(19) 3456

3659

149):3 IBA: 30%

(12) 16 yá. 3. st.

(34) 230 BLA

(15) 40 ri

(18) 2222

KD

ABCD is a cyclic quadrilateral. 1-AC, BD interfect at right angles at E and the line through E perpendicular to CD when produced cuts AB at M, show

shati

THEM.

BM

MA

B

XY Huches 0 o at 8.

DB LXY. * QATIOB#PC

nes, OB is the median of impezium QAC P

08=2(QA+ POJ

== (@A + 187

Gina TAB is a diameter of circle APBQ

PAB = 25

QPB = 42

The angle between AP

Solution Les AP produced

OB produced.

Join Ad

98:13

a diameter

·LAR

From Anna

LANG=180-(70

Sane ser

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