1970-05-30 — Page 27

[14.

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育教僑華,頁三筅張七第一百

关疾股票

WAH KIN YAT PO

報日僑華

六期星日

日十三月五年〇七九一屦公年九十五國民華中

英中會考數學課程B(一)試題

(5) 27

Given that H the set of rhombuses, Kthe set of rectangles,

Which of the following equations has no solution in R?

O

MARK

S

the set of quadrilaterals, the set of squares

Which of the following statements is/are correct?

Complete the multiplication table in bine 3.

X D 1

HI,

IN,

HOK

H. UK Q.

A Only 1.

ABC Only 1ề

C..

Only ITI

Only II and III

E,

p denotes frowes are red" and g`dinates "vicilets are blue". The statement. "It is not true that it j towns are reil, thep violets are blue.” is equivalent to

1, II, and III

Witch of the following is a mapping from P to 0?

Scale C

Scale D

Figure 1 shows a portion of an ordinary slide rule. x,b,c, and p are numbers on the side nile. With ́

the all de ruto iet in the above position, which of the following is true?

The value of the number 49 X 0-1953

0-0079

is greater than 100

lies between 100 and 10

lies between 10 and

hes between 1 and 0

E.

Is less than 0-1-

Let Fbe the set of all polynomials invariable with coefficients in K. F forms a glory wiel

pest to addition of polynomials. Which of the following subsets of F does not for a gi

A

(ax+b; a, b e R)

B.

fax + bi

b.e R-20),

fax + ba, b ̈e R b

fax + b, bè R0, boj

{ax+b: a, b c R; a 0, by 0},

(A statement" P (k) involves a number k such that k. - 26. n being a natural number: F (k) is

found to be true when n. 1,2,3,999 and is also true when n999 + 1×1000, Vue. one of the following statementsis correct?

A... P (k) may be fale for some oven number k

BP) is true for every natural number'

C.

P(k) is true for every even number k

P(k) is true for every odd number k

P(k) must be tres for

2002.

Which of the following statements is tria?

{}

Which of the following is a funcion?

· {(x, y) :-y2 •x; x, y e·Z} -

eZ)

· The number 3,652,000,000 whin written in the form of a X, 10a whità 1 <a

100

4 X 10"

3.65 X 10

D. 3-652 X 10

B. 3-652 X 101o

Giver two non-empty sets: H and K. 11 N O K

the union of and K is an empty

His a subset of K

K is a subset of H

the two sets are disjolat

the two sets are equal-

y, then which of the following is equal to 257

it.

x2/3 2 -3y15/2 + x2/3,

nana

the above

Ja statement which is always inie. Fua atement which is always false. Which of the follow

statements are equivalent?

(PVT) AQVF) (PASIVĞAN,

None

B. Only 1 and it

Only 11 and 11 Only I and III:

·I, and III

·Only, F. Daly

Only

Each of f. 1, and

None of the tË9)

be a binary operation on R definiby

x y + 2y for a x, y

Which of the following statements are treat

A

1:

The Let R is cics.with respect to Piaczy

ན་c་

Only II

Only T

1, and £*

ich of the following ststema

B

A Only I

Only II:

A

Crome:

· (AUB)

Frou (iv) to (v)

()

› U.U denotes this Universal Set, then in figure 3, expres the following i

PQR

·la terms of

(U). b

In the carne figure, represent £it fellowing

( nơi T

Figura

Q

1

(M) Given that 121, 21, 31

Exprem in base 7. the tomber

remainder så, find y

(v) Givers that : 10110101,

*.. find .x;

mod. 6), ind x. such that 0:4 x 55.

Evaluate, without using tables, the value of

sin*60*+

Bend the following statements carefully and determine in each case whether it is true or falsą,

At least ché ball is black or no one ti black,

ARK:

In'equalio 1- and 'x fr equal to 2.

| If John, in Mary's father and John is Mary

than Jotun is Mary's grandio

MARKS

Figure 41.

Base of the pyramid

În figure 46, OASĊDEF is a right pyramid. The base ABCDEF is a regular hexagon (see figure 4b). Glithe centre of the hexagon. If i (AO)=2, m(AB);

(1)Find m()

An's

(10) find the messure of the angle between the line cis mo the plans ABCDEF,

Find

Arrows indicate that dries are given parklaž.

Find.

Figure 6

The equation of the plane that passes throughs the points (0,0,73. (0,7,0), (7,0,0)|

60°

metre

01 metre

Figure 1.

B2, find. X.

ABC is a triangle right-angled at A. Sem-circles ar

-m(CO) = 1 meern and re LAOC = 60 find, in

MARKS

the shaded aren I.

(3)

the skaded zira. El.

metre (3)

and jare unit vectors along the x-axis and y-axla respectively. The coordinates of the vertices of trinige nts (0,0), (12,6), (~9, -3). Find the position vector of the centroid of the triangle in sezonu of Land

Figure

(3)

The square, whose side in bi møttes, and the circle, whose radius in 7 metres, are of equal area and have ita same centre 'G.

Find the ratio: 15:1

Find ́x to the nerezt whole number.

Contruct a statement in p and q equivalent to a`which in defied by thi

AP

T

T

F

F

-F

F

T

(truth table.