頁二第張八第日三十月二年午戊服夏
WAH KIU YAT PO
報日僑華
二期星
日一廿月三年八七九一联公年七十六國民肇中育教龋樂
育教僑華
Answers:
1. B 2, E
3. D
4. D
11.
(x + y − 4) − − (3x − y) −
5. D* 6. C
7. C
8. C
3x + 7y 24
13E 17.
9. B 10. B.
147
11. D
12. A
15. C 16. B
(Ane.
18. E
19. A 20. A
(111) Slope of the required
no 6 in throwing
蝦
dice
1978
straight line in 1
Che required probab
【中心會考試題預習專欄
1
新數學 廿五
(x + y −4) + K(3x
金榮家
10% Dale Dress
(3k + 1)x
∴
k)y
1216
(Ana.)
MODERN MATHEMATICS (25)
B. 105
數學二十五交長波
Mathematica 25
Exercise 11
Multiple choice questiona.
1. If f(x) is divisible by
x+b then
As f(x+b)=0
D. f(x)=b
E. f(x)--
If x;y=2:3, what is the
value of 2x+y7.
A. 7.
In the figure, ABCD în
cyclic quadrilateral.
LY-35" and ZX-25. Find LABC.
A. 100°
C 108
D. 120
E. 150
12.A is greater than B by 10%
and B is greater than C. by. 10%. A is greater than
C. by
B. f(-)-0
C. 1(b)=0
B. 3
C. 8
A. 212
B. 20%
C. 199
D. 5
E. cannot be determined
from the given information.
3. The LC.M.. of a
D. 105
E. 1
13.If logP-0.5270, then log-
0.5270 B.I.5270.
C. 0.4730
and b2-a2 is
·A. (4-b)
-B. -{ab}
C. -(a+b){a-b
D. ~(a+b)(a−b
E. (a+b)(-b)2
a2-2ab+b2
Which of the following
expressions are
factorisable?.
(1)Jax-3øy+bx-by
3 2
(2)27a -98 +150
(3)x
2-9x+20 (4)ab+cd¬ad+bc
(5)x2-1
A. all of them
B. (1), (3) and (4) only
C. (1), (3) and (5) only
all except
except (2),
then
D. −0.4730
E. T.1730
14. In a 100m, race! A cạn
heat B by 5m and B can
beat C by 5m, then A can
beat C by
A 10m.
B. 9
C. 15m
.D.
(1) As shown in the
figure
AC w JAB2 BC2
-ho2
0 is the intersection of AC
and BD
202
AO
5/2
A0
52
(5/2)2
volume of the right
Pyramid VABOD
x VO x(arca of ABCD)
x (5/2) x (10 x 30)
3 m
(Ana.)
1
The required straight line
16. (a) For equation
12
kx+24
Rum of roota -k
product of roots
• (p-2) 4 p(p-2) = 24
From (2)
2-0 (ans.
13(a) Let $ x be the annual
instalment.
At the end of the first.
he owed
4000(1,03).
At the end of the 2nd
The owed
[2000(1,03)-x]{1,03) –
At the end of the 3rd year, he owed
4000(1,03)-x](1.03) −x(1,03)
4000(1,03)3 -(1,03)2x
(1.03)x = x
-
Since he has to pay back
3 annual instalmenta
00(1.03)3 -(1,03)x
(1.03)*x
p2 - Lp - 24 (p=6)(p+4) ·
D-6 or p Substitute ints (1)
24
k■ -10 or 10 (ins,)
(b) For equa ti mate
+ bx
let m,n be ita roots
aa
n
(1)
(2)
Since their difte
in 2
n)2
But
(min)*
ポー
4ac
x1415
Ans
the annual instalment 18 $ 1415
4ac
(proved)
(b) Total amount returned
1000(1.65)2 + 1000(1,05) 100041.05)
B. 1
C. 2
D. 3
6. Simplify (tanx+cotx)cos2
A... sinx..
B. Cost
C. cotx
Binxc.oux
E. tanx
Ecm
The graph represents the curve of y-ax^«bx, tlien 4.a> 0, b> 0
·B. a*0, b<0
·D, a≤0, b< 0.
E, a≤0, b-0
In the figure, if LA:48:40 1:2:3, and ZADC=120%, then B A. 20"
In the figure, ¿ADB=90
B. 40"
C. 60°
A. 2√3
The Length of CD is
D. 80o
E160°
LAND=¿CAD=30°, NC-6cm,
B. 33
D. 43
E. 6
Referring to the given
In the figure, the circle
is inscribed in the quadrilateral ABCD, AB-4, BC-5 and CD=7. The length of CD is
A. 8
B. 6
figure, which of the
following is true?
A. AB:BC÷CA=sinæsing; sinc
C 2
B.:fc:CA-sinc: sína: sinB
D. A
c. :: CA=C÷AB
E. cannot be determine
18.
D. AB÷BC÷CÂœC÷A÷а
E. AD: RC:CA-sing:sintisin
9. sin(-A) con(T+A), tan(¦+A)-
2
A. singA
B.
com A
C. 1
∙D. 1
E. -cos
Tu the figure, All is on are of a circle, centred at 0. If LAUB=90° and. OA-r. The shaded area. is
In the figure, find the ratio of the volume of A to.B.
A. 1:1
B. 1:2
€. 1:8
D. 1:3
E. 1:7
If 2, x, y, 9 are in, G.P
then xy-
A. 18 B. 18
C. 4%
D. 4
E. 81
20.Which of the following
would be a solution to sin2x=cos3x?
A:
A. 180.
c. dr2(-1)
B. 36°
D. 2(1-2)
C. 51°
E. None of these
D. 72
E. 90°
235.7 Volume of the cube ABCDEFGH
103 1000 mg
volume of the anlirt.
1000+ 235.7
1235.7 cm
(ii) In the figure, M is the
mid-point of AB.
MU
$80 = 5 cm
The angle between planes
VAB and ABCD is ZYMO
Но
مجموع
1.4342
VMO - 54°44* (An
5/T +10 17.071
BO! - A0 = 52 = 7.071cm VE √17.0712 ~ 7.9712
342.4
18.44 cm (Ans
KC
HC - BK
AC = kac
AB ➡ AC = KHC = K(K
klič
kXI
KU)
(-
+ IIK)
k ( pa2 = [m2 ) ·
0
KG BO
(Ans.)
126 is the point of inter-
section of straight lines
3x - y = 0
By solving the equations
V. 3
P is (1,3) (11) Since the x-intercept
is 8, therefore, the straight line passes thro-
ugh the point (8,0)
Ix. + y ---
4)
+
k(3x)
y)
(8 + .0
k
A
4)k(3-8 0) - (
the straight line in.
2000[(1.05) + (1.05}
(1405)]
-1000. 12.05) [(1.05)
(1.05)
=88560 (ins.)
1)
14(a) The numbers between
2000 and 5000 divisible by 7
form an 4.P. with first term
2002
common difference 7
and final term: 4998,
≈ 2002, d 7
Jet 4998 be the nth term
4998 - 2002 +
429
The sum required.
s(n)
420
^2) (2(2002) +(429–1) (7)] 216216 (Ans.
(b) The 7th term
=(Bum of first seven terms)
-- (stim of first sig terma)
s(7)
-
5(6)
(707+3) ·6 (6+3).
16 (Ans.)
Similarly, the pth term s(p)s(n - 1)
P、p+3} - (p-1)[(p-1)+3]
-
p + 3p − (p2 + p − 2) 2p+2 (Ans.)
15(a) The probability that the tiger will not be wounded
• the probability that no
arrow hits, the tiger,
5
5
The probability that the tige:
is wounded
2
2101
3125 (Ans.)
pt
() Number of outcomes
getting exactly 4 heads in
tossing 10 coins
- 210
Total number of oute.omes in
tossing 30. coins
10
2 -1024
the required probability 210
1024 105
$1 (Ans.)
(c) The probability of getting
fi & 16 WE 教僑
學能推理匯專欄
文字推理
文字推理棟習九 閱檐推理(三)
(九)
[例助】細閱下列一段文字,然後解答所附間
有五個女孩子,她們的身載、旋型和
小媽、小英身載矮小直髮,
小英身觀高大曲棄。
小碧身栽矮小嫩辮子。
小麗身歲島大直鬟。
小豆、小碧小魔是寄宿生。 小英和小典是走讀生。
1.誰是身裁高大的寄宿生?
B小美 C小疼
Ad
Dij
E小煮
2.走讀生中,誰是幽鬣的?
All
B. CL 影小数
D小麗
題解:寄宿生的三人中,小娟和小碧都是身 裁矮小的,而小麗是身裁高大的(不 周理會變型)。第1題答案應選D。 走讀生中。小英是直髮的,小美是略 鬟的(不同理會身載)。第2題答案
相閱下列兩段文字,然後解答所附間體 在所選的答案下钂一橫線。
有五個男孩子,他們的膜號及體慈如下:
小麥、小張是肥磚而寒白衣服的
小何是瘦削而寒藍衣服的。
小黃是肥胖而穿黃衣服的。
小陳是肥瘦適中而穿藍衣服的。
小张和小陳正在打乒乓球口 小專、小何和小黃正在狀天。
1.正在就天的男孩子中,誰是瘦削的?
AL‡ BIR CIM DIE EI 2. 穿藍衣服的男孩子中,讓正在打乒乓球?
A小學 B小张 「C小何 D小黃 E小陳 有五個小學生,他們所有的文具→下:
■和小明有鉛筆和間尺が
德芬有間尺和原子筆,
大明有顏色鉛筆和原子葦。
正偉有圓规和鉛簍。
國強、大明和正偉是男孩子。
小明和德益是女孩子。
3.男孩子中,誰是有原子筆的?
A編强 小明 C德芬 D大明 4.掉是有鉛筆的女孩子?
EE#
A鋼强:B小明 C德芬 D大明 E正偉
* #:00 DE OD OB
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