1967-05-16 — Page 15

FIRED*

日八初月四年未丁屋發

WAH KIU YATA

CITY & HALL

育教僑華

chas of

中文中學會考試題預習專欄

英文科 (廿五)

精英

**

英文中學會考試題預習專欄

數學科 (廿九)) ·歐陽蟲文

MATHEMATICS ((29) 2

LESSON 291 TEST ON PAPER DE

GEOMETRY TIMES JAMEE2D: 12 thonna

'Attempt All questions in Section A and any YOUR

questions in Section B.

TOMOZION A (40) marka)

+

(Credit will only be given for the sorrwat answer, for` questions 3. - B, put the enmer in the spans jprovided on the question paper. Any working may be done on the last few pages of the answer book but will not√65 kisekondê........

1. The angles of là pentagon at 2, 21, 130, 1-10, x+40

degrees; Find the value of s

ANSWER:

2. ABC, PQR are two triangles such (that AB PQ, AOPE, ZB

Than, (a) Z C=£÷Ħ - - - -

Or, (b) ABC 4 PQR –

(On, (e) [CB are supplementary

Or, (d) ABC and POR cho never be congruent

(On), ((0)) either CR or (C+/R=180′′-

Bit ratek (✔) in the box apposite the comment one.

3. Piespoint between E and C on the side BC of the wide panen j wqiikäteral triangle ABC, Arrange in order af length, the

shortest ffirst, the site of a‚'ÆBE.

**ENSTICH

Une za? the following the the sańbreviation of the ithaoren sån toelow. But a thick ((w) in the box spisite the correct one.

*THE İPERPENDICULAR BISECTORS (OF TIRAR ESIDES (OF A TREANOTE ARE CONCURRENT 2o

(Ga)) (Diremcentrs, Theorem -

((b) Orthocentre Theorga

(((0) Gentwold Theorem – a

(d) Inscentre Theorema m

((e) Exscentre Theoren

Durouscribe a regular hexagon about a given (circle «of (radius 1". Memure the length of a side of the hexagon,

ANSWER:

One of the following fully describes a regular polygon. Put a tick (n) in itme tbox provided apposite the correat

(a) A polygon with dll its sides equal

(b) A polygon with all its angles equal

(60) A polygon with all its angles are of 90

(d)

polygon le both equilateral and equiangular -

(3) A pircle can be drawn through its 4 ventlices

Draw a (parallelogram ABCD in which AB=360 BC=2.4ccm, B=42. Construct 44 P4B teguzi in area to ABCD and such

{}PBA =65" / "Measure PB, A

MANSWER

Po to a wariable chord of given length để a given discle. What the locus epf the dip point dr

SECTION B ((60 marss)

SWER

"De- any -FOUR queat lons from this Section. All necESRIN working must be clearly shown. Hanks will be desuotai for poor presentation of madenial.

IN-iks vang point, inside AABC, NE, NQ, NR are the perper fculars from N tỏ BC, DA, a nespectively, Frove that

10. 1, I are the wild-points of the chords 48, CD vof a “cirdle

centre (0; JXN, VE! are the perpendiculans from X, Tito (CD) respectively. If INcouts FR, prove that 'OP mid TY

bisedt each other.

sil sắc the mid-point of care sku, kulla, KD some any two chorda, cutting (chorki∙AB at E, F respectively. Frows that C, 10, F. E are soneyélte,

12. Draw a at, line XY and constret two points M, Bam (the ease

side-of IT such that the distances of A, B(from VAT are 11, 2.5" respectively sand/AB 37. Constructithai smaller cof tLÀS (two circles attoh (pass through A and B and touch XII.

13. The tangent ist 4 ito na dircle AEG eats thelline through B

parallel to 40, at "P;itheiling through (Cyparallel tto MBeouts AP AL Q. Prove that MPQMALE? NI MACK

mo-ordinates cor MA, Fa, Czarorredpečtively (3, 14); (02, 11); ((5, 2), SABGD is sarparallelogram, sand (AC¢outs BD at H. Biril

the co-ordinates of ((a) ƑK; ((8)\D.

HINTS

Ta, sa) A Linear graph 10 mph n o ft per sie. ; 30 ngil m 94 fres

3.2.3. ft. p.

tho Let - 2 be the roots of ?2* - #6x −1/=0

« ap= - ·

學

Then *sa={12} -+64

The product of * and 2 is negative, Kèr either

ja must be positive { while the other is negativa y say men *vt)

Clays, then

<< +8 = *Ve

رة امراء

the greatest possible value of,

磅

berc, * > 64 steusta, & one root is greater than to 18, 193

#9 to) In the A.P. : term-7

4 tem » 9+34

(x-5) + (2-

**<^3{x-5)

uvaak

let d = con. diff 8th fam = ?ETAS They are in 6.8

7. 9+32. 4+rd om farms_ of Hic G.P

st Itsa 2nd term of the AP god

San of the AP = = {2×94(2n=1311} = n

(b) Bit is Aquivalent

(ab

3

ere that

#

From the graph, the roots are ca3 5-84; -atą;

It g=-c where (st fine) cannot cut cart

We find

the

cass

will give a ans

the gi

HINT & ASS. TO THE LESSON

CASS SKA)

3 altitudes: Orta

Leest bisecting Ex-CENTE

ow a cinc lé

siis Find the vertices of

The panties of the

tangents

An equilateral fig

AEC

Z biseom

length Inscribed regular bes

(d) Resum

YM LAB"

OX P.Y

#gram

OP 4 AY DIŝrch cach other

AE.C

measured by

mine MB

Llag

Produce BA to mat

D.FE Care

Take

Demi Castle wil, diameter PB. draw DA LPg to meet the

[PQ, Rescribe a circle to cast

samesty, me givens

9.5 canin o CBA

ANOWATS To the previous 'BIerci Ber

2. Rottes was selden up early in the morning except in thore

cocesions when he wo up all night.

2. He was attracted by a walking stick left benard by a visitor.

3. Because Holmes could tell what he was doing although he

wae eitting with his back to hin.

4. Tolne's ey what the author was doing with the help of the

021-polished refanctang coffee-pot.

ɔ. The visitor wes Janes ortiser.

6. Benzuse the thick iron ferrule of the strcK WILE 80 VOIT DOWN -

that the visitor must have walked a great dẹci and only a country doctor would need to walk so much.

7. According to the author's opinion, the stick vso given to

the visitor by e hunting club an retum of his surgical Besitance that he had given to the mentare of the club.

8. No, de ezid that the author's guess was interesting but /

very elementary and sITONEOUS.

9. Bolmee said the author was helpful to him in the way that

when he tried to point out the author's errors be was cooaglon- ally guided tow.rds thẻ truth. ̧

10. grootitioner doctor

notion

wider

ETTENÄ g

the purpose of a short Journey

is surrentar - an object kept in memory of womething esteemed-respected

ferrule

-

an aron sine put around the end of a sticl habitually - in wound practice

underrated -

ETTONDOUS

underestimate

orang

The probability is in favour of his being a countzY

practitioner win it seans more probable that te 14 3% Country prctitioner

You are not yourself landnowe, but you are a conductor or light

you yourself cannot solve the próbien bựt you canbelp to solve it made him a small presentation in retuft -*- they gave bio

a small gift to thank bàn for his apsistance.

Test 1

(Paper II - General English)

1. Choose the suitable words. in the following pasange,”

Use fingers (shook, trembled, shivered) as he (undressed, strapped, took off) bilmself in the dormitory, He told kis fine. zers to (work fast, move quickly, hurry up). He had to undress and then (sit, lie, insel) and (reed, say, tell) tra cim prayere and be in bed before the gao van (turned out, lowered, put out) so that he might not go to hell when he died. He (rolled, took, undressed) tis stockings off and put on his lightshart quickly and knelt trembling at his bedside ha repented his prayere quickly, (afrati, fearing, gearing); fiat the gas would go dosm.

2. Des the rirnt form of the verbs in Brackete in the following

· oenterices:

a. I asked ber how long the unn (be) unconsciouB.

b. le secustoma so least big brakfast.

Wether atop his trot) into trouble, before 17 (De), toni

Šthey (z1t) (en ke) their hands, one to another, unile "the noire (come) ne\De- and nét nét,

how virmy persone (fy) in Jau and und ehir ye re Yo: (zive) twenty-four bnuara to Caneader jour decasiona fuot.ier of dur nee cups (24 (bred) Ker ng ht

d. The whole sorld (be) rapidly (becom

1. 1 vich 1-(kov) the fellow'e nine-

-TC. I had known you were here, I (come) «t once?

5. Till the following blinke vich suitable prepositiones

a. As old servant ourgreenplag

landing.

The rector looked ut 410

feel the blood rising.

about to TiTA.

He walked on betore them

ellence and be could

Vie Taco and the terr9

short "nerous stepë,

Porn twilt noon of merrymaking the money of tie praZER

TAN

Stephen'e fingers. The woman had gone down baby rocked:

~ her knees and the dead her back, MAN

the second day they came out

short grass,

on to a wide plateau covered tis liked to sit near to

his dark fierce faces The next day, he eat upper room

the fires, 1ooking up y

tie table in the baze

Dany hours. DAVV Hrv Polly'p eyan fell first of her filled him 1. He became aware

ther bride; the mig VAN DIETA DIZO ZILE of Baction. Nr. Voulte de a gatohful, blu

band intense fezesfulDOMU,

traanige kan orang into ancharov, spray

"Don't talk,” che vaid, "themeve po tixa, LieCANY I KNOW YOU 1 Racoondyll. I wrote that letter at the Duke's ordere.

490 I thought," said A.

So twenty minutes three men V111 DƏ DOTE TO FLAT you,”

ALABAMA the Three?"

"Yes, You must be gone by then. If not, you'll be kille "0e they will "

"Laetenz When you're in, your pony wala ue, 10kms

low part of the town,"

Change the following into Direct: Speech.

I told him that he had fought as a brave man the other night. I then asked him to go with me saying that if he would give up hie: prifoner slire to way be should come to no burt

T

Comine each of the following groups of eentences into one. sentences

NAS

We used to go for walks with our Grandfather fa¥4 — Re

would carry lumpe of sugar in bis pocket.

Sonettoes he would carry on apple in a paper Us

He would feca these lumps of sugar or epule to any

horse he wight see standing on the street

I can still remember this.prim

A top war, ruaning away with a pagce, or west

Be pas en evne deep still wɛter.

Bp Bow Lapro the reflected image or the wo

He dropped the nest into the deep water

de enstobed

in ysin at the vabaüçe,

5. White & own the questione to which the following ora

a. She time some apples in her basalet.

D. There was a cow in the Field,

6. Be drives to epbool every Cory

d. Es went to Edinburgh last wosk«°

He had finished, his vack by bus b'ellooki

f♥ They go to the seaside every Sindng.

6. This bouce we built a bundred years ago

h. The game will be finished before wartime

1. They even se før as the little foot.

J. Puere will be mone nige cakes for 1088.

7. Complete each of the following sentences by underlining the

best of the altomātivās given.

a. Be told much a

they all believed him.

I guessed from Ede impresEI

that he kas, her father,

avelling at is how

or what dit lubed to be.

that

ormvinding.

ustworthy

crementally elementary

chiefly importantly

The most

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