至二第張六第
日七廿月三周年午丙慇
WAH KIL YAT PO #
三榮光修専欄。
年度
英中会鸡
試題預習專欄
17-5-1966.
數學科
歐陽籃文
各位同學:
第(一)講
首先面场重要的,就是恭賀大家過幾年的努力學習,到今小學畢樂。但請不要忘記,還 【只另一階段 中學階段的開始。在還,我預祝各位在中學獲得係大的成就。
其次,我感到萬分高興託再有機會在這感協和各位同學討論英文中學F.術科的 通 *在中學下.1淵一科課囉實際上不比中學入學試算術科不想磔,但由於醫用英文作答,总以大 【深或會請您然類。尤其忌類參加學校的入學試,所老內容可極簡單,但若于不做英文名的解釋
欧盟的濕性,但不會影,不可賣!
有了以上的李因,我希望盡我所能,助大家使對對,上算術料的游魂匀率間,以始將等取 香的 ,但若有任何的,功勞部於各位的努力。由於本的臨閣大橋,润家人 【福約龍蝦瘤限,故機在所無免,還望教育界電話,數學界先進,及各位同學,多貼膠王,水
我行,若有任何網或間,請來信指示,當會力去改善。
()
(2)
38 €
不
(4)
{5}
(6)
(P)
(9)
(10)
本欄內容將包括以下各點:
(一)饣瞓學入學試算術科的中英文斑理。
(二)英文鎬術有利的解戀愛運用。
(三)佩學品、題目的分析,由淺入深以便能於短期內到能解、能效、能的。
(但)任各類日之後,後安排一些有代表性的聯營,希望各位同學多做,海水形態
(7) EMMARKASHYAM KALIS › URHEIT.
現首先介绍中學入學試算预科申英文課,以作各位參口
THE FOUR AULES.
ARITHMETIC SYLLABUSES
PRIME AND COMPOSITE NUNHERS: factors and multiples; highest
common factor (H.C.F.) and lowest common multiple (L.C.M.)
USE OF BRACKETS.
MONEY- Hong Kong currencyi The four rules; raduction; shopping
exercise bills.
VULGAR FRACTIONS: reduction to lowest terms: the four rules:
Fractions of concreta quantities; one quensity expressed
33 a fraction of another; simplification. DECIMAL PRACTIONS; the four rules; simplification; conversion of
decimal fractions inte vulgar fractione; conversions of vulgar fractions into decimal fractions; one quantity expressed as the decimal fractron of another; decimal fractiona of concrete quantities (recurring decimals
excluded.)
SIMPLE PERCENTAGES AND EASY APPLICATIONS; conversion of vulgar'
and decimal fractions into percentages, and vice vergo. SIMPLE AVERAGES
MEASURES. reduction and the four rules:-
tone, hundredweights, pounds, ounces:
(al
chewing, chek, chuan:
miles, yards, feet, inches:
{b}
niculs. catties, caels;
46)
gallons. gints:
(u)
square yards, square feet, aquare
Inches!,
(e)
cubic feet, curit inchest
(f)
years, months. weeks, days.
Huurs, minutes, seconds.
AREAS AND PERIMETERS OF SQUARES RECTANGLES AND TRIANGLÉS.
(1) VOLUMES O CUBES AND CUB01DS.
+(12) UNITARY METHOD USING SIMPLE QUANTITIES
(13)VELY SIMPLE STATISTICAL CHARTS.
算術
(1) THAN •
程
(2)質效質因數;約數倍數;大公的小公倍。
(3)按號之還用。
(4)SERV
貨四期合算法;貨幣化法;协物習;發票等、
(5)分熟...一約分和號分3分數四則合算法;複名數的分改,分期和案名做為化法;化分型
STEMA. →→
小啄四别合算生小败化前法;北小蚁易分数;小败和缀名照互北法;花分 曾心歌;名版的小孩。(其環小數除外)”
(7)脾验百分法及礙易您用區。化登數或小數富百分散;化百分數富分配小片口
(9)股蛋衍化法•薇法及四期合算法;
(-) (#)ETIZERS
(二)(日)斤(乙)嘅華說,上
(三)加,品線支
(四)方能,方方时靠
(五)立方呎,对方时;
(六)年,月,
只是口
(10) N&EXTRUDAEABZMIXER •
(11)
(12)一一用的易的數量。.
( 13 ) MÄMNEE •...
ENGLISH
Zero
One
USEFUL TERMS
ARABIC
CHINESE
Two.
Three
Four
Five
Six
Seven
Eight
8
Nine
(FL)
MATVEKATTIS 1201
LESSON 11 : KISUP BANKANS PROBLEME (KOT)
In a regular haragon ACDF, enloulate MADB,
A
2) Find 7, if air and coỡ x -
3) A shopkeeper boys'ease at 36, a ecore, He finds † of them are unealechle but sell the rest at 45, a dozen. Find fie profit per cent
:
4) A wire 24 long is our into two pieces which can be beat
to make” a-aquare and a circle. The circle ià bent to mas through the vertides of the square, Find the radine of the circle,
$) In order to pay bis sonte school fees, a father Invested)
0
£1000 át 4$ p...at compound intereat, Assuming that the abbey to Lavested at the beginning of boy's school,carcei
for and that £300 is withdrawn at the end of each year the Bohpol fres, fiad bồw much is left after 3 years. ›
6) A ship etzana 3 mi, Traysport 4 op a bearing of "NB0"F}
and then 4st, on a bearing of N47°E, Plod its distance and hearing from A.
7) Find x, if (a) log,ɛ = 3; (b) 108 ̧* * -,1
8) The price of a abare rose 25% yesterday and fell 25% to
day, "bat is the total rise or fall per cent ?,
9) In a circle of radius 2", inscribe a rectangle one of
chose sides is 3" long.
10) A map invested £4000 in 3 stock at 80. Be sold his "
"bildíng at 86 and tavested the proceedalia ¿? Chezea”
steading at Pls, ad. If the dividend decla
new holding wae 6%, find the ghange in nie agane) 11) BP, CQ are the bisectors of LB, 20 of ABC; AB, AR e1d) the perpendiculars from to BF, 60: prove that //$2. 2) Bolve
13) Two numbers, saob
isting of a diet are such that each to obtained from the other by reversing Its digits. If the sum ad product of the two sag.. are 123 &3145 resp.. find the numbers.
4) A motorist drives from his bonge to e Logn at 100abu, and returns home at 15 mph, Find hie average speed
for the double journey,
15) ABC is an equilateral triangle of side 40ft. on
horizontal ground, AF is a vertical tower. The angle of elevation of the top of the tower T from B is 50% ven that dia a point on the tower 10 ft, from the top; calculate(a) the height of the tower?
日台1月五年六六九一感秀单五十五國理
類,而莖菜揍,祖著,含末爾維,對,爲選付這個關係 加港眦之螟生三耎绘画一般有意顕淼开联系祕方面之學期考試 ,故下貫錢,但因 其成装是來有可知,開,但不久又須參加 [學生,她爹了一起過此次考試之學生,【拭之學生,難過了一 BESC CAR-DICGEA-B BEGEKIT [中考試,紫於本月 位,做得八千餘入 數,仍盛相當大。 《中國崴今年|助,津貼之中學學校予中考試之學生人 小六生功課倍形忙碌,其餘未及學校派在 PRENESE
頁
17) Two men, 13mt, epart, are walking towards nach other
at uniform speeds. They meet in 6 kr. and one takes 4 min. foncer than the other to walk a mile. Find their walking speeds.
14)
18) The diagonala AC BD of the quadrilateral ¿BCD cut af resp. so that AP CK, K. CA, are profuged to
& BQ - Dh. Prove that cunt ABCD - KPQ. Finta & ins. To fosson 11:
Sin @
·ABCDEP is a regular hexagon,
(2x8 - 4)×00° each int. 2
-LCDB - (180-135) «known «ANG » 1807 – 135 » known
ZADE - ADC
3
The average cost price por
welling
The gain in 4 eggs m15- His gains
➡ known.
lien on the 2nd quadrant.
ANG 128
eggs=(Já+20)
*{4«+12)*** £ 5.
4) bet-r the radius of the circle
Then the length of the side of the sq. fterk
the circumference ℗ 2œr!
the perimeter of aq, - 4/2 •*
第消
息有
張刊
##
升中考試過後
往舍投者,移 功課。
KKNKP; F1新生時,大都排,《又開始忙於張習。
又須應付期考
EEN- CASTE
01 Construction :
1) With radias 2*,
SEBRE - ESOP EEET-FO5ST NDELEEUM. 師,热心璐擬中文、中史、普通英文、數學、物理、化學、生物 本格,際茲會考前夕,亦告結束,相何會對本欄甜心研習之同晷,明日定龍以幣 、經濟及公共事務、地理、歷史共十嘔主赛科日洋綱答案,分日在
·本年安英文中學會,期明日八十八日)開始,本報之英中會考試,預習 -RER- SEKIMENA
本屆英中會考各科試題答案
分日在本報詳予刋登
ddaw circle D
ii) Draw any diameter AC.
iii) At C, draw chord CB-3",and draw,
chord D 3o at A.
Then ABCD is the required rectuals.
-10) His lat iscoms :(3%of £100) x D£ 180
~1420
By selling the 25 stack at 85, he resolved 1240001-25
E4250.
Via 2nd incone: (6% of £1)x £425 *£240.
allad
7. the change in his annual income-£240 – £150
FRADE “
£9) (Inersazo)
Produse ́AN,AX to meet en at El resp.
Ia A
-803
In¿CAF, - AK-IP (4CAKB0CFK) Hence, IEQAFE;8 ̧E are sid
HKƒ/KF (mid-pt,tasorom) 1.6. HK//
From 5(3x-y+1) = 3(2x+y+2) & 6(3x−y+1)
3(3x+2y+1)
Let_10147 bs one ne., then 10yer is the other no. Hence, (10x+y)+(10y+z) «lize 11y. 121
(10x+y)(10y+2)=3154
sbové equations, ve find zuð; -yu8, -two numbers are 38 ↑ 83
distance of his house from the town, the time taken at 10mphe
15.
The totle time taken for 2x wi, ia (75 + 3-)hro His av. speed --
12 m.p.h.
15 Let h'athe bight of the tower,"
at the required angle of
elevation at C.
In rtART
In t
ATLAB ten 50 -40o X taa to
$71672!
tan
47.-7. (Corr. to 3 rig.)
M
-Soca tra 0.9418
18) Subat, za 6-y into 2{x°ap*)
fo find that, 'y*. By · 8 ={y = 4) {⋅ 1 − 2) −0. AM3, x=2, yud or fes, yw2..
17) Let x, y Mia = the speeds of the men,s,t. xxy Then, in walking one mile, their time taken are
br.
br. mín.
.
When they are walking towards gach other, they meet in
33mt. {2+} mph∙∙
38
・
- 6 hr
Ten
24; Principal, let
Interent,
ANS. The radius is 2017
fit
From Eq. (1) re have
15
into Bq(11),thon we find 495 108 -{27 +55)(y-3) Reject the vilus » 2 for y, then we have
Eleven
Twelve.
Thirteen
Fourteen
Fifteen
Sixteen
16
十六
Seventeen,
17.
ተቲ
£1000.
40.
£ 1040
900
£740
29,6
£769 8 300:
C 489.6 ¿
á, amount withdrawn
2nd v*.
1,4%
withdrawn.
P. 3rd yr.
18 784 1, 4%
Eighteen
18
£ 488
384 Aa
Nineteen
19
300 188
withdrawi
284
Twenty
20
Thirty-three
133
三十三!
Forty-four
四十四
AQ
Fifty-five
£t £
Sixty-six
177
七七
Let oč«zQMAQ Then
Jeventy-seven
ANS £18876 8d, fa left after a yeara.
3 cos10 + 4 cos 43
2,954 + 2,028 -5,080(«i',).
3 in10 + 4 8in 43 -3.249(mi)
the distance Q from A w 40 1
*5.280+ 3.249
6.72(mi)
5.880
3.349
-45 13
Eighty-eight Ninety-nine
One hundred
One thousand
Ten thousand
One hundred thousan One million
[10,000
100,000 000,000!
88
nt
ANS. The bearing of
from A is N 61°5′ E-
99
九十九
·T) (m) 11 log
2-3,
then... 3 -27,
100
NOTE: 165 N *
MARAS
,000
(b) 1·1991p¬¤ ---1, then. x -10′′ » 0.1
Driginal cost price
100
ANS,/81% fall
G.P.,yesterday ↑ C.P., to-day (1+25%)of 100 -125
(1–254)of126 -934.
ANS. Their opeens are 3, 24 m.p.t
18) 2007
<YJ
Quad ABCD = I + II •H + ]
ARPO = I + ©0+ (Y)
Ay X & 4x) and on
agual bas = (KQ=MP), and both are of the same vertex CB)
milarly
VIR = A
AH = ACYJ
(basis kp: AP:
vestex Py
(bases xc=AF
Vertex D