ENCE LIBRARY
19 MAY 1970
CITY HAL
育教儒華 頁三第張六第
英中會考附加數學(二)試題
日五十月四年戌庚醫夏 WAH KIII YAT FO
報日僑華
二期星
ADDITIONAL MATHEMATICS
PAPER
Time allowed - Two hours
Answer all questions in Section A and any THREE questions in Section B
Mathematical tables will be suppiled.
All working must be clearly shown.
SECTION A (40 marka)
Answer ALL questions in this section. Emphasis should be placed on accurate working
(4 marks,
Expand
Hence, or otherwise, find the positive aquara moot of
(4 marks]
Solve the simultaneous equasons
4 marks)
alculate the gradient of the curve
at the point (1.1).
4 marks)
Dettererisante
(30
knd expend the minit
itt smolest form.
[4 marka)
Given that 4 cos:@
identity in 9, and that is posit
-z and tan'a
using the rubstitutionsin, find the value of
(5 marki)
Find the distance from the origin to the perpendicular bisector of the line segm
A (1,3), and B (4, 7)
Given that
By using the remainder theorem, prove that
Find also the remaining factor of F (x)
Joining the point
3c) x2 - (b)
− (b + 25 × 34) x − 2 (1 − b);
2) is a factor of ̈ F(x). "
10英文中學會考試題預習專欄
道英文書院主編
英文科(廿九)
ENGLISH LANGUAGE (29)
ine were to Exercise 26
13. (C)
14. (A)
3.
15. (C)
27
4.
16. (0)
28. (A
17(E
29. (A)
18.
30
(B)
19.
31
(c)
20. E
32
(0)
21. (E
33
22.
34
23% (D) 24. (D)
35
две
This is the Last Revision Exercise we til go througn; together before the examination comes. Patterns of very common sentenoda ara given with all the key WOL
underlined and fmplications maña, Answers to preko patterns are alse supplied at the end of the exercièe And before we say good-bye, may I draw your attentior to the writing of letters.
According to the syllabus for the General angiisu Paper 1969, candidates may be asked to write a short letter. It le likely that a test of letter writing. will be get in the 0.E. Paper I this year, especially when the duration of the Papar is extended to 24 hours (with 15 extra minutes added to the Paper), Iz is auggested that candidates should pay special attention to the writing of formal Invitation letteri and Apply letters.
Pick out the best answer to complete each of the following sentences -
35 far as I can remember, the boy three monska ago.
(A) cones. (B) came (C) had com (D) was coming (E) would come
"I don't often see Kary now. She
(A) or busily. (B) worked busily
(C) had worked busily. (D) has been busy working
E) is busy working
Recently, she *... Binging very hard,
(A) practises (B) practised (0) is practising (D) has been practising (F) will practise
Before we moved to our new house w
old one for ten years.
日九十月五年〇七九一层公然九五剑民莖中
I could haver agree with her nor
(A) was Kary (B) Mary was
(D) Mary could (B) did Mary
(C) could Mary
16. We all agree that Mary is not foolish nor
(A) does Susan (B) doesn't Susan (C) in Susar (D) isn't Susan (F) Susan is
17 He used to
sing when he was bathing. still used to ... when he bathe.
(A) Bing (3) being sing (0) singing
(D) having sung (E) be singing
I can never get used to ... bread and butte for breakfast.
(A) have (3) has (C) having (1) being having
(B) having had
19. No sooner halo.
the house than ne skoutÖG TOR
4) did he enter (B) he did enter-
(C) had he entered (D) he had eatore.
(F) was he entering.
20. Hardly *****, one house when he shouted for help.
(A) did he enter (B) he did enter (C) had he entered (D) he had enterou
E) was he entering
wiik kis father, he left the house angrily¡ (Note the arguing case before he left the houssi
Argued (B) Being argund (C) Arguing
(D) Having argued (E) Having been arguing
••ue thought of her beauty. (He was thinking of her when he was lying in bed.) (A) Lying in bed (B), Have laid in bea (C) Laid in bed (D) Being lain in bar (B) Having lain in bed
(The man
proceeded with great care, chased the tiger.) (A) Chased the tiger (C) Having shased the tiger (D) Being chased the tiga. (E) Having been chased
the
(3) Chaning the Tiger
man shouted for help. (The tiger chased the man.)
Chased by the tiger (B) Chasing the tiger
Having shamed the tiger
Having been chasing the tiger
Having Been chased by the tige
AT. 198 Mʊvea intu a*. (Nosinatawi
Absolute).
(A) Being newly painted".
(B) Having been newly painted
(0) The house was newly painted
(D) The house being newly painted
(E) The house having been newly paintED 26 He went to the barber this morning, ne
(The cutting
ng of hair was not done by him. Someone else did thie for him)_
(a) cut his hair (8) had out his hair (C) would have cut his hair
(D) has his hair cut. (B) had his hair cu
marks):
25 nd 5-27, find, without using tables
the value of xy.
the value of (log 25) (log, d)
SECTION D: (50) marks)
Answer my THREE questions in this
10
In the figure, all the marked angles are right angles
Figure
Express OB, UC, UD, O in terms of and hence show that OF: 0416. (H) Show that the lengths 48 BC, CD, DE: forma geometrical progression. (H) Find in terms of a, the
the perimeter of DABCDE, leaving your answer in surds (iv). Show that the areas of ▲ DAR, OBC, OCD, ODE form geometrical progression.
Find in terms of a, the of ABCDE, leaving your answer in ads
(3)-D is the mic-poun of a uno segimas An ur lengin 4, XY the perpendicular bisector of AB
and XD = 36, YD 2 By finding the values of fan AXB, tin AYB, show that SAXB + LAYB * "90",
Comtuar une equanon zan 34 # out 24.
Show that 18 in Dot of this equation,
By expressing each side of the equation in tezona of tand and substituting x for zhat.tan 18′′ in a root of the equation 5x 10x + 1 =
Deduce that an 18",
equations of two curves C, C2 are
PRATNATALIE KEN İSKAANN ir ne turning points of C and C2
Find the equations of the tangents to Cat the three points where Cs and intersect. (1):Sketch, in one diagram, the curves C. and Co
(A) livet (B) were living (C) woula nave lived (D) had lived, (E) have lived
the end of this month, wẹ examinations.
all
our
(A) shall finish. (B) finished p (C) would have finished (D) are finishing (E) shall have finished
a letter at twelve o'clock tomorroWA shall write (B) wřite (©), am writing. shall be writing (E) have written
Kacco.
last month for he had been stayin
bad not some (B) wouxu not come (C) was not coming (D) did not mame
(B) has not cons
as not com
He said that he would have been robbed 15 tam strong young man
(A) did not come
B) could not come
C) was not coming
în time.Y
(D) had nos ouse
ware not some
John wishes that his mother, t him to
A) allows (B) is allowing (C) has allowed. D) will allow · (E) would allow
Mary Wishes that her mother yesterday
(á) does not eve
(B) did not stop.
c) has not stopped.
ker going
(D) had not stopped.
(E) would not stop
11. I think that it is time you .... working.
(4) begin (3) are beginning (C) will begi (D) began (5) have begun
12. Either the naughty boys or the youngest girl
among tkan ........ taken away my umbrella. (A) have (B) has (C) in (D) will be
Neither the youngest girl nor the naughty boyi
... escaped punishment.
(4) have (3) has (C) is (D) are (E) will
27. He went to the tailor again for he
He wanted the tailor to make the coat for his
wanted to make a new cont
made a new coat (C) had made a new cost wanted to have a new coat gade
(F) was going to make a new coat
We
mus ucen for the accident
(As a matter of fact, we bad not been there,}
(A) were (B) would be
(5) would have been
29. He *****
(C) went (D) had been
in that case, he would not have bee caught. (In fact, he had not left and he was caught.)
(A) should leave (B) had left (0) lerv.
to leave (B) ought to have left
(B) ought t
30 Mary Bald sne would never cons again,
the harshness of the boys. (Afte
for the (A) owing to (B) due to (D) on behalf of(E) coming from
Answers to Szer4168 29
ZD)
11. D 12. (B)
22.
3. (D
13. (A)
237
4(D)
14. C
24.
5(E)
15.
16
17.
18.
20.
Correction
кже
The correct answer to Sentence. I should be
(E) are
Economie &CPMULEOVAffairs Answers to Exercise No. 27
9. D
215%
16 1
10. E
37. B
11 E
18.
12. D
13. B
·14
19. E
20.
I did not think that he would come and Mary did not expeat of his coming....
too (B) nether (C) either (D) also as well
calculate the angles and
(i) calculate the length of the track, BCDF (correct to. 2 significant figures).
is the
ligh prove th
to the figure, ABCDEF (u v teilway uzik 2.Qare the centres of the equal circles each of radius nile. With the notation and measurements (in miles) marked in the figure)
show that P235/2 miles,
it a variable straight line passing through the point (8,0) and with gradient
Is another variable straight ine passing through the origin, making an angle of 45" with Zy and
with gradient ma (O< my €1)^{
is the point of intersection of Land Eg
Find the relation between wid my
"Using a diagram, show that (8, 8) is one possible portion of ♬
Using (1) et otherwise, Lid the equation of the circle on which P. must less, and a
iv) The circle in (1) intersects the line, y=-* (x - 8) at 4 and 8. If the mid-point of AB
(a) Given that tan
prove that siri.
show that the equation à cos 0 +6.sin 6
251 (c+= 0,⋅
(ii) the general solution us sue équation 18 cos 0
are the solutions of the equation
show, without solving for 4 and 2, that