1966-03-01 — Page 15

中文大學本年度入學試

張四第

華僑教育

sample c

Solution

Exp

一九六六年度

英中会考

試題預習專欄

數學科

(九)

MALDEHALA SL

·歐陽鑰交·

Nate

LESSON SA PATO

1 Ratio & Propation·

FACTOR(SA)-ON (3) * FURTMEN HOF *70*)

Keu

two's

If the

The ratio of two (or more) quannter of the same kind

may

• merely a comparison of two quantities" are of different kinds than is exiled the rate of them!st quantly to the second one.

Example 1. A car travels 140 min 346 and a train

And the on of the travels, 30 mi speed of the cur to that of the train

Solutio

The speed of the car on

36 ph

The ratio - Cars speed Trains speed = 40 mp uph

Exendle 3 Railway fares were increased from ‍id a mile to

the new fork the a journey;

m.lt

What

which used

Sotuber

" Cold ysad The cake blincicasing

Old

'Neal*

- 1ď

- ( 31 + 4) { 21−3).

Some quadratic expressions can be often factorind

by inspection

Yet the

checked mentally to answer should always b

method is used.

sublid, cation

"The abort example will be simpli

by using the cross product method ey

Example I

Sution

two Squent"

Factose.

Exp = [3024

- Elba

"<E> In the form & Perfect Square

Fector·le Example & Solution

Exp

63* *** (A + 15 KR ),

SIA

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KIK-KOBE • (E) 人為紐約時報駐港記者陶彬氏,背座不 穀舘要訣」,將於三月三日下午三時系四 衆舞導中心及新亞書院新聞學系,主婦之 (特)中文大學人文學科出究所萃

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Solution

院内,因考人案,必競爭烈,始能入度。(南) 性,在中文大學本年度學額仍係四百八十名左右,均分於崇基、浙匯、過1成長學

上述時間你有待中文大學於後正式公佈作究。

T

六月二十四日八星期五)上午九碶蛋十二中高等數學,下午1時至五時地環 六月二十三日)期四)上午九時至十二時藍史,下午二時至五時化學。 六月二千二百八期),上午九時至十二微生物,下午二胎至五忠中國史。 一八期二)上午九時至十二時中文,下午二時至五時通數學。 (D

步擬定如下:

以報名費規定期爲人三十元。. 三月份內辦镪织名版畫,期概不受理。上述輪准延期觀名者,爽朗繳報名費十元, 昨日优米有報名者,如係遇特殊情形,經該校入學資格考試委員會核准!於

日至廿七日期間舉行 考試時間表亦作初步擬定 六月二十

六月二十日(星期一)上午九時至十二時英文,下午二時至五時物理。

•CEL>LKKUVER<EKNERIE-OSS-RS-AKDU-SER

中文大畴之考試日期,已定於本年六月二十至十七日期間行,其考試時間发初

3X*+ 19 x+12= 3 (x + 2)2

627-182 - 60= 6(x+3x-5).

報名人數逾四千

The Sum or differe Example I

Factorise

Exp

two "cubes #18*={£18){Ã¥ AB + 8

Example 12 find, by long division methed, the HCF of

* What weÄNS

new prices # of the onginal price Now the fare used to cost $sad: "Hence, the new fare wall cost

= 85 +8 + # J8 ind

= 145 70

So fuhim

[Note For Me expression.

kolf n = any

Solution

36 +7-39 -36 2 +13-3

£ 139-84-86 [72] −3

716

-34

ART+134* - PEQ*=324 = R (203+ 130.

If a b c d be four

диат

her

Said to be in properhon

Exente 3 Three firms A B C "undertake a plece

for chat Lib

de's 10 men

For

In carry out the wo

8 men for 20 days prov 15 men for 6 days of all the men are paid at the

find the amount each firm recesÜZA Carry out the work A shares 10

same rate

القمة

"The ratio:

Firm A. McDIVES

HONES

the facta Theorems

Wes mare prawo in zwembintar¶The sun

fun

in partici etty_divisible

more

And

F(2), which it!

factorise

As apum (FC±)=FC=5*F($)*0

Example 4

Solution

A ham X passes three station A 18 Cat You

9 400m

at 9 $0 am

2/0

Formly

sa am resp

Another bram V passer A

10 15 am resp If bott ham, travel... find the time at which I will pass

find also the speed a7 Y if Xu kavelling at 24 mph

A

HCF

HINTS G. AN

cenat integrat

And 【the product of the factors gives un tap!!

F(1) = 4 (22+1) (3240)(5X=D{

By comparing one of the rennsch

[lete u An expression

54 10 ic

·Since both trains & tran! uniformly the cr time taken & speeds are there five proportional

Cu As shown time taken for & how to ci

E

(fig. 2.31

AC meets HF 21.0. Join AF

LAHE RACFG (AAS),

w in hig 3 ZAPD 1505.

DRC is also isos, ST.

2BR <DPA =<DAC (Ed)

ANSC

is a common dingonal of the #grams, BC = <AIR + ARYCE + Agram Abral

61 car:30 Cot 45,

cot as.

(*+ Co ( Ces 30 - Sin 300 ser ha

Each int, é

ANI

मंल

The length the horse will have gone = 4 of 77ft)

ANS 3321

(b) 750

2x).

***

t

I will

25 min x

- ሃዱ .

to min

at about

101.5 Ani

21 × 3 speeds 24 righ Then Y spud

U, Factorisationell, and Further

Le gundentes fam

Consider the identity

Rom which

Hend in

Adorsible Kat

sample

luhe

find that

e of factorising.

yo

You shoul

3 (2x-5)}

a'[ \b−c)+b{c-a)+ (Ya-b); which is unaltered by changing & -b br

called

cyclic expression with respect to a b Such inter change of letters is called a cyclic change This kind of expression should alway-_bi. factoused by factor Theorem.

It is sometimes a good plan to group together terms of the same degree eg

The following hints may help you to thetorice any giren] algebraic expression

Write down first

Make use of the

possible

may be possible.

Confams four, my more terms

If the expression

Exercise SA

by tacionsen completely the following (if possible

2, that mu

agam

its 72 aa-14a*-¿a*

* number half as jam.

The average speeds of a rain: and a¶Car" are 240×36 mph, find the train to that token by i

süm) of two speare's (or cubis),

also

of

car

ise by grouping

expresan

bank fail the t

camajna brackets and no comm factor

Standard form) is seen the brackets al usually "be remo

ed and the exp, is Merefore -Make use of the relation if possible that,

+C3 = 3abc if a+ber

use the factor Themen nd all Tregained!

related properties wffentser

I'm Further: H.C.

We have pa vious.

strings

resply

Exaby

and then find are not easily

the exp

a more gen wi

the time takin for

"and pays its depositors 25 ad a man who had X2000 in this bank cen £5.50 else where = has liabilities of £2500. He then

himself bankrupt, how much in the E to the nearest penny 3 nos of shillingss

decla

So pay his creditor

↑ Divide 44 shillings&ento on

Horinsx and half-

Find the five values of upressions 3.2082 = 211

7 If x + y + z = ÷ ÷ · £=!

he xg, zis Lonel

A and B prov

business

which ktheTM Quadraht

Camman facro.

least one of

the working of which B takeszno part

paid a fixed salary as mana

From the profits,

linded i

capitaluri

at the end.

"24504

A resclats E

And!

"The amoun

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