日四十月二年八七九一曆公年七十六國民中
華僑文化
舉佛
輔智竭诚招待,食品裲美。至二時許,盡歡而散。 发均赶山林道妙活林素食館參訓新春而執照愛。建開十席由談煞主持人間 - 一致團結,修行與习學並重,完成菩提盤道云。十一時許,全體會員 悴。由高永好致謝,希望今年同人多些時間同來本會,參加各項活動 CHER - BHE-KZU -S29 - JE56KH - BERG - XXL | 忍恶老法師致新庥賀詞,恭祝同人馬年吉祥,開學,谒惑同修等語。 鶴、等百餘人、情况熱烈。時,由高永任司儀,領導全體證佛後 陳粱鹊、胡秀淸、妙朗、紫貂、玉、陳炎、張道蓮、謝益 ·業 龍永揚、捨越莊、翻笑樂、酒、黎又明、振榴、葉文宮、梁說求、 張妙吉、梁妙懟、無亦剛、趙兆祥、毬伯京、李攢,胡景賢、刘秀芹、 法相學會黹事長磔特-Y三會瀣事業》、高枕江、張複、浙長城、 忍亞,開會長滿永年;三铪學泚副董事長紕聯華,起沈芬,李惠,佛教 鴻弑太以十五哦GH座會所內舉行,出席者有:供佛嘅港澳分會董事長糊 發行之戊午年新春團拜,已於正月初六(星期日)上午十時 - 在佐頓道
恭祝精進佛學福慧同修 藏 忍慧老法師致新春賀詞
舉行聯合團拜 佛敎三大團體
·梁潔貞花卉四屏
一本月廿三起出大會堂八樓)
佛,相佛學三送澳從佛
14. The following graph shows
the distribution of 120 candidates in "änexumina-
tion.
SECTION
起
B (60%)
育教化文
莫三第張五第日八初月正年午戊曆夏
WAH KIU YAT PO
報日僑
二期星 T
A
舊石章三元起
·歡迎參觀選購
集古齋:
地址:中環要成街一號南華大廈一樓
法:一上】陳鴻騰作(下)翁方綱作
·华古寮琳
辦代出局面介紹成品心
***
育教僑華
9sin +24sing cose +16cos e
2 =25(sin @+cos 0)
新數學 二十
魯榮家
9. Prove, by mathematical;
ibsie-24sinecose +90
=0
induction that
16tang-2.tan@+9=0
2.2
(tane~3)2=0
MODERN HATHBATICS (20)
Test Eight
{n+1
tane
MM. & Dair Perti
MORE RES
1978
【中學會考試題預習專欄
數學 =+ 交長波
Mathematics: 20.
Solution to exercise 9.
Section A,
Solutions
*
(2 x + y) + (x+2y)
p=x-y
Solution:
The nth term of the series
1+3 1+3+2
:1,
1+4 1+1+7
+5.
to n terms
(2x1+(n-1)x2
(2x1+(n-1)x3
2n
30-1
Solution:
terms
Solution:
OA=OB
ZOBA a
AP is the tangent to the circle
LOAP-90°
+90° +a+20BA=180*
p+a+a 90
p=90°
4cm:
2 cm
A
Solution:
Letren be the radius of the ball.
#B=(r=2)cm
BP=(9-r)cn
2
= (x-2)2 + (9-7)2.
2
Answer All questions, in Section A and any SIX in Section u. Show your working
Selearly.
SECTION A (40%)
1. A cubical box of side. 10cm (internul measurement) just contains a solid cylinder,. diameter: 10 cm, height 10cm If 210 cm3 of water is re-
quired to fill all the cm- pty space in the box, cal- culate the value of corre- et to 3 signivicant figures.
Figure 1.
if m,n are the roots of the equation
2.
2x
5x + 24 =. Ü
Find, without solving the
equation
(i) m2
(12) m<-
Eva lua Le correct to
signivicant figures
75.93 x 2.412
0.0923
4. In figure 2, ARCD is a trapezium, with AB // Ch. Af
AB, Be 10 CD = 12
and DA 8, find the area
of the trapezíúm
จ
+362 4.43+
for all positive integers n 10. An inverted conical vessel
of volume 120cm is filled
with water to half its depth, (i) Find the volume of water
in the vessel. (ii) If three small metal
sphere
(ii) IP: three small identical
spheres are placed carefully
into the water until it is
totally immersed, the depth
of water is increased by 10% find the radius of each sphere
11-A (3,4), B(-3,-4) are given
points, P is a point with coordinates (x,y)
(a) Find the slopes of PA ̈
and PB
(b) If PA is perpendicular to
PH, show the equation of
Locus of P. is a circle, (c) If 4x +37 0 cuts
the locus
of Pat C,D; find C and D
(d) is CD a day** of the-
circle? Give reason.
12. (a) The sum of the lengths. of the diagonals of a rhombus is 5cm. If the length of the
longer diagonal is -x cm, ex- press the area of the rhombus
in terms of x. (b) In figure), the given
graph is
4x 3. By drawing suitable linear graph, find the lengths of the diagonals of the rhombus if its area is bem2
Figure 5
(5) Pil) in the table below: Number of students with ma nks below this mark.
Marks
20
30-
40
50
60
(ii) Determine, from the
graph
(a) the pass mark, if
the
45%
poes percentage is
(b) the pass, if the
paas mark is 36. (c) If95% of the students
got grades lower than
Find the range.
of the grade.
15. (a) In figure 6, ABCDEF
is a regular hexagon, if
道 前
and of
express
CD in terms of
Band
Figure 6.
(h) In figure 7, if AB = 10,
31m
The increase percent of the radius
1.2r
100%
-20%
Solution:
In AABE
AE-3 eosec30 cm
бет
In ACDE
DE 43.cosec60cm
A
=8cm
•AD √62 +82cm
=10cm
36m
Solution:
hem
Let h cm be the height of the trapezium
,18=4x(3+7) • h.
h=5.6cm/
.Area of BCD
x3x3.68q.cm
5.4 sq.CID.
6. Solution:
3sine +4co28 × 5
9sin+24gine cose +16cos's
2
=25
=r2 ={r+4+81-18r+r2
-22r+85=0
(r-5)(r-17)=0
r-5 or 17 (rejected).
The radius of the ball is 5 cm.
Section B
9. Solution
(a) (i)The sum of the 1st,
2nd and 3rd terms
2
(ii)The sum of the 4th,
5th and 6th terms
4 5 =xy ́ +xy ~+xy"
(iii)The sum of the 7th,
8th and 9th termS
7
8
terms
* (x+xy+xy2 ) { xy +xy?+xy8)
x(1+y+y2)· xv^{1+y+y2)
2 6
=x2y (1+y+y2) 2
.4 5,2
= (xy3 (1+y+ y2)) 2
2 6
• ( x + xy + xy2 ) { xy 6 + xy? +xy®
=(xy+xy+xx5 2
i.e. The result of (ii)
is the geometric mean of
A.
Figure 2.
5. 1 the orthocentre. (inter-
section of altitudes) or triangle ABC is (0,0), Tind the coordinates of Caf
(-1,-5).
A = (4,0) and 3.=.
the result of (i) and (iii).6. Find the values of P,
10. Solution:-
4x-2y-7z=U
·3x+8y−29z=0
X
and Rif
2
X
(x-1)(x
y
2)(x =
.0
+
8 -29
-29
58436 -214116-3246
X
2
X
+3
7. Solve the system
22
2
10
12
X
3 - 2
x:y:2=0:5:2
Letk
i.e. x=6k; y=5k; z=2k
x2+4y2=36k2+4(25k2) -136k2
34z2-34 (2k)2-136k2 x2 +45 23422
+
8. The difference between the simple interest and the com- pound interest on a sum of money invested for three years at 10% p.a. is $31. What is the sum of money?
Figure 3
13. In figure 4, ABCBEM is
a' wedge, ABCD, CDEF and.
EFBA are rectangles. NCF and ADE are congruent right angled triangles.
A
Figure 4
I AC 100 cm,
=
5384
FBC =
309
And ZACB (i) rind Z PAC (ii) Find the volume of the
solid.
angle ABC a the value
90?, find
of AC AB.
A
Figure 7. (e) In figure 8, if
BF = FE - ED = PC, aimplify
Figure 8
A
10A
+
5AD
16. In a group of 140 students 70 are taking ma thematics, 50 are taking physics and 30 are taking both subjects.
(i) low me ny students are
taking neither mathematics
nor physies
(ii)llow many students are taking either mathematics or physics but not both ? (xii) Ir
A studnet is picked at random, what is the pro- bability that he is taking physics but not mathematics ? (iv)If, among the students
not taking physics, a student is picked at random, what is the probability that he is
taking a thematics ?
No comments yet.
Private notes are available after approval.