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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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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