頁二第張六日九十月正年申庚醫
1980
WAH KIU YAT PO
which the two dice
中學會考試題預習專欄
show the same number,
in F set of outcome S
which the sum of numbers is 8.
(a) What is the
probability of
新數學(廿二)
明德出版社魯榮家提供資料
Modern Mathematics (22)
W. K. Lo
Mill & Dale Press Ltd
Test Eight
Answer all questions in Section A and any six in Section B.
Section A (40%)
1. Find the values of the real
numbers a and b if
1 1 1
4-31*2+1 4+31
where i = /-1.
" A+hi
2. For what values of k does the equation x2+(3k-4)x+2(k+4) - 0
has equal roots.
3. Solve the inequality
3 where x is
5.
7x-1 2x+1
a real number.
D
A
K
Figure 1
In figure 1, ABCD is
a square of aren 576cm2 and HB BK. If the area
of AHBK is 200cm*,
find the length of CK.
B
Figure 2
As shown in figure 2, AD: DC- 3:2
If BAP, DB q and CB 7. Express in terms of
and: 4.
6. Given an acute angle 0
with sin@=
8
17
find the value of tand without using tables.
7. The straight line
3x-4y+12= ◊ meets the
2 2
circle xy-16y-36
=
0
at A, B. Find the length of the chord AB.
8. Maximize 100-x-y under
the constraints
x > 2
x 4 10
y 2
Y8
Section B (60%)
9. In a throw of two dice, the following events
are defined:
Ex
set of outcomes in
10.
(i) E
(ii) F (iii) EOP
(iv) BUP?
thrown (b) If two dice are
twice, what is the probability that
(i) the twe outcomes
are in event E, (ii) the first outcomes
is in E and the second is in F?
A
+
報日僑華
In figure, AB 18 fi diameter of the greater
三期星
semi-circle and AC is the
diameter of the smaller semi-circle. If
If AB - 2 metres and
find
LANC 609
(a) the area of triangle AOC (where is the mid-point of AB),
(b) the area of the
shaded region.
16. (a) Prove that if x, y and
Z are in 6.P., then logx, logy and logz are in A.P.
(h) Figure 5
30*
Figure 3
E
In figure 5, all the marked angles are right
angles. Show that AB, BC, CD and DF form a GP.
In figure 3, is the centre of the circle. AX and AY
touch the circle at M and N respectively. If AM",
AN and XAY 4 600
(a) Express AP in terms
of u and
(b) What is the radius of the circle if à and V
are unit vectors?
11. The sum of first five terms of an A.. is 30 and the product of the second, the third and the fourth terms is 120.
(a) Pind the first term
and the connon difference of the A.P.
(b) Find the sum of first
ten terms of the A.P.
12. If the points A(0,12).
B(7,11), C(6,4) and D(k,5) are concyclic,
(a) find the equation of
the circle which passen through A, B, C and D. (b) find the value of k. 13. (a) The sum of the lengths
of the diagonals of
a rhombus is 8cm. If the length of the longer diagonal is x cm, express the area of the rhombus. in terms of x. (b)(i) Plot y = x*
(0 < x <8)
x2-12x+16
(ii) By drawing suitable
straight line on
the graph, find the length of the
longer diagonal of the rhombus in (a), if its area is bcm".
14. The elevation of the top
of a building from a point A due south of it is 60" and a
point B due east of A is 30". If AB = 200
15.
of the building.
1980
中學會考試題預習專欄
英文科(廿二)
日五月三年〇八九一曆公年九十六國民華中 刋特商青島半青藪
'Among' is a preposition followed by
ful than to-day.
past and says it was more peace- Hong Kong of.
-piano well.
-quickest way to
university
17. His sister plays.
18. Which is
Hilton Hotel.
19. His son is studying in
in Canada.
20. He doesn't seem to be honest
maa.
The answers to last week's exercise are as follows:-
a plural noun.
a) Fighting
started
among the
crowds
b) There is discontent among the
stoff.
c) Share the money among your-
selves.
(6) CADB
'But' is a conjunction or a preposition
to bring about a contrast.
You can but try. (only) b) But for your help, we should not
have caught the train. (without)
c) He is a cunning person but then
a)
1.
(A) (a) his
(b) to
(d) with
(e) with
(c) above (f) used
(g) great
(h) with
(i) that
matter (k) tried
(m) In (p) front
(n) so
(1) even (0) truth
(q) in
(r) same
(s) to
(t) up
(B) (a) on
(b) nothing
(c) happened (d) For
(e) out (1) late (g) such (h) couldn't (i) My () with (k) her
(1) missed
(m) accompanied (n) passengers
(p) question
(0) anything
{q} lr
(s) off
2. (1) BDAC
(r) destination (t) reporting
The expression 'fix up' can be used in the following sentences:
a) Can you fix it up for me? (arrange)
b) He fixes her up with a job. (ar-
range a job for her)
c) Let's fix up the quarrel (settle the
quarrel)
d) He fixes his friend for the night.
(gives him a bed)
立基出版社李比路提供資料
ENGLISH [22]
(2) ADCB
T.C. Rebeiro (Foundation Press)
Dear Students,
Today I am printing an exercise on Articles. I hope you will try them and check with the answers published next week.
At some places in the following sentences it is necessary to put a or an or the or some in the blanks to make correct sentences. At other places the sentence is correct without writing anything in the blanks. Write a an, the or some where necessary. Where this is not neces- sary make a cross like this X. Do not leave any blank empty.
1. My brother's ill in ———— hospital. 2. I'm going to
4.
hospital to meet my friend, who's a nurse. 3. I go to
school everyday to learn English.
school to
bed with
Mrs. Leung went to............ take her son home.
5. He went to bad cold.
6. He went to bed to look for the
lost pin.
7.
Robert missed
home after
8.
train and arrived dinner.
I last went to Paris in T 1967.
9. Last year he went to .business.
on
10.
winter of
Philippines
white dog
black and belongs to Peter. 11. In
society, women are sometimes referred to as
fair sex. 12. dog is
aetres, find the height
man.
13.
Figure 4
friend of.
science students of our school have complained that there are few reference books in our school library. 14. It is W pity that I old man
you spoke of has become
beggar.
The verb 'drop' means 'fail'. However, when it goes with different preposi tions, its meaning changes consider- ably.
a)
Tom and Mary dropped behind the rest of the party. (left behind)
b) My friends dropped off one by one. (My friends deserted me)
c) My friend dropped off in the
mass. (fell asleep)
d) My friend dropped on to her
knees. (knelt down)
e) The entire scheme seems to have dropped through. (come to noth- ing)
f) I wish he would drop in on me
very often. (visit me)
g) I dropped across him in the street
the other day. (met him by chance)
h)
We had to drop out of the race (ceased to compete)
(3) BADC
'Surprising' is a present participle often preceded by 'it'. "Surprised' is a past participle often preceded by a personal pronoun such as "I, we, they" etc.
a) It is surprising that such a stupid boy has won the first prize in the quiz contest.
b) She is surprised to learn that you
failed in the driving test.
(4) BDCA
We'd better we had better. It means would prefer to. 'Had better' is fol- lowed by a bare infinitive.
3) We had better leave the room. b) You had better start now.
'Would sooner', 'would rather', 'dare not, 'need not also take the bare infinitive.
a) Mary says that she would sooner
die than betray her friend.
b) You would rather not go away.
c) She dare not tell the bad news to
her father.
d) She need nor go to school on
Sunday.
15.
more I looked at it,.
more funny it seemed.
16. He remembers.
Hong Kong of
(5) ACDB
he is the person who can help you to make a lot of money. (on the other hand)
d) I would have helped you but that I was not in Hong Kong. (except)
(7) DCBA
Both 'excited' and 'exciting' are participles. 'Excited' is used to de- scribe a living thing. 'Exciting' is often used to describe a non-living thing. a) Every spectator looked excited. b) What is she so excited about? c) I have just read an exciting story. d) The film is very exciting.
(8) CBDA
Notice that if we break the sentence into three parts, we shall not be confused by the two prepositions.
a) I want to see
b) what is on
c) at the Odean
(9) CADB
'Too' here means 'also'. It is incorrect to re-arrange the expression like this "it is too well drawn' because it means 'the cartoon is not well drawn'. This is contrary to the intended meaning of the speaker. Note that "but' introduces a contrast whereas 'and' introduces a parallel construction similar in mean- ing to the preceding sentence.
(10) DBAC
A child at heart' means 'childlike'. Notice the usage of the following idiomatic expressions with 'heart'.
a) He learns the poem by heart.
(He is able to repeat the poem from memory)
b) Let's have a heart-to-heart talk
about the matter.
(a sincere and frank talk)
c) What he does breaks my heart.
(makes me very sad)
d) You can enjoy yourself to your.
heart's content.
(as much as you wish to)
e) John went home with a heavy
f)
heart.
(sad and depressed)
You should take heart when you face a dangerous situation.
(be confident/pluck up your cour. age)
g) She loses her heart to badminton.
(becomes very fond of)
John loses his heart to Mary. (falls in love with)
h) My heart was stronger than my
head at that time.
(My emotions led me to do foolish things)
D
Cheer up! Don't lose heart,
(Don't be discouraged)
j}
He sets his heart upon studying English.
(devotes himself to)
k) My heart was in my mouth when
I was robbed by a thief.
(I felt terribly
scared)
半島青年商會 半島青年商會
特
刊
} E-B<RCEES
K***
南宮藝華酒店太平祚
| 六日下午六忤三十分,
一煙點及時間:三月
何發揚會務,正面臨及驗。 開始的棒子,本會各成員對如何維持行政狀況,如 一九八〇年行政及工作計劃接下創會第十一年
講座
青商知識
十二月 - 會員最殺
八月,单奔说聚集 十月,新舊會員之夜
EKURCAREUZ 爲使有志人士更越
ZEE · ZONES | DEG?C*4E42 - ZWZTIXES® {E ( PERKAH) - 而本會本半之风华希望能到百分之四 除以上各項工作計劃外,由一月至十二月導,較炮於三月八日( | EK ) NOKKIE TE-V
ᆞ구
社會發展組
經濟事務組 一將去世以較新漸形式逃行。
十月舉行聖府枰討會,而其 將分别於三月 【 七月及
} £***
社會發展
西店三一五氮。 二時三十分,青子事
• 埆寫及綠:下午
(交通安全
青年教育組於六月
LEDEREZALETE.
|ZKAPSEŁK-
有關本租 活動及十月份够随母年一次
出版及實傳組 全年出版會刊(經
國事務
EKOISKOUERBIC-
世界宙涌大發射在十一月在日本大舉行。
八月
聚。將於二月舉行新專業三月公共世
濃, 商刊物之形式及糖)等。 拆件方式供投,內容分爲:主席- 秘書,可度。 比賽將湟照以往方式滬行 - 維此加強各分會攝影工作及先察的觸縠照片把錄。 總務塲地,石藝及畫傳-特刊(包括福之幣 月有影遊及十二月的截省警局會及每月月會之 一,十月舉行以龔淑縢書名爲「昔日金課」,十一 - 關係 - 五月旅行,六月摄血澎鼢,七月財路|印(交通安全小册子
VERISHEÆWOCESINEMI | 1YEKRE - <<E SPRCHLEIR
QUE SER ER DE ►
PEREZ (KKCETHESES KERNE • RE
1月抛进行各工作對觀中最像照片。
ENKE-
*月 科學醬理座:
並於四月間舉行一有联颁檔案的携來,十一元,
****ABERZELBST2lved 15 do 1
#R<UERCENTILEZE - TSLEE
此外,本貴其他活動 - 又有:一月:董事局
SELECT
導才能的知識。
B
九月 會員選年大
其系的爲使者透過理論講座及普攻
4.
八月 健人没通调决话·
THIS<NER - GROBEN - 188-C
** 十一月 講座:
一劃之成敗于以分析-以作来年工作計劃改定之座
| 我檢討 - 了解會方當時况,對過往一年工作計
將與來道之新董事局A共同研究,先作
十月 如何定工作計踣座:
問題再作研究。
題目未定,將視乎會方當時之需要,成就會
會員擴展計劃
KEYWIGE±NSE)
ESEL ( IGIENE) - BO
賽比作創施設底橋天
吳R展組 五月,會撲設之夜八月 四月,準畫質聚貸(會員譔運動〕 個別宵商工作小組介紹。 TE - TENER
*月,新舊書股之夜
七月 - 恆小組工作介
BIKINER
KEESEE
在會聖事局體;就破
會會長及世界传间需會長術祥豪樂機,蒸臨明發 立法局長致椒少朗太平紳士及本會前會長,前鎮 英由於一月份月會內舉行。本會永遠名譽會員:
佛揚威專售员在天属走则作比賽意间
|南人欺真常师,
RERKADO-4
均有出席開幕典蚀,因 他分會會友及新店界, 除本會會友外,其
ARGLEZNEK +
CONVOI -
找展豐太平紳士周開幕
KERIT SE
焰下大堂平性。