報日憍墨
二期星 日七月一年〇七九一公年九十五國民童
育裝備
15. The people, waiting on both sides of the road,
cheered loudly at the princess and when their ocrriage appeared at the corner of the street.
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日十二月二十年巴 WAH KIU YAT PO
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1770英文中學會考試題預習專欄
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ENGLISH LANGUAGE (13)
Answers to Exercise 12
COMPREHENSION
1. (D) a paper giving news
2. (D) it is the organ of public opinion
3. (C) the press a not frea
4. (D) it is honest and unlibellous
5. (C) there is strict censorship
PRECIS
(十三)
Some people may think that to means to be insincere for politeness is simply
Have good manners hypocrisy. As a matter of fact, good manners may seam superficial, but it helps to smooth the scoial friction among people and it is a virtue for it means the consideration for the feelings of others. Some call politeness the surface religion, however, to be a true gentleman means showing respect without servility to our superiors, being courtesy to our aquals, and being considerate for those below um. It also means to think instinctively of the feelings, the confort and happiness of others before his own.
Exercise 13
1. It is about time
(A) have (B) has
(E) shall have
2. You
we
our lunch.
C) bad (D) are having
better go to see him to-morrow, otherwise
he will be angry.
(A) have (B) had
(C) will (D) are (E) would
3. He wanted to stay for another hour; if he had
left at once, he
the train,
(A) would not miss
(B) should not miss
(C) could not miss
(E) did not miss
(D) would not have missed
4. It is John who delayed us again. How we, wish na
yesterday.
даде (3) did not come (0) would not come had set come (E) could not com
5. way don't you hurry up? 1 suppose it
moment for you start.
(A) is (B) will be (0) may be (D) WEB
(A) the husband (B) the princess's husband
(a) the princess husband (D) the princess' hian band (B) the princesses husband
1770英文中學會考試題預習專欄
書院主編
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(十三)
(3) a (B) an
(C) the (D) no article is needed
16. John went to swim even in the cold winter morning.
great bravery of him.
We admired.
17. It is easy for him to make new friends. He
became acquainted with
European in the meeting last night. (A) a (B) an
(c) the (D) no article is needed 18. John was said to be killed in Vietnam. When I saw
him in the restaurant, I had shock of my life. (A) (B) an (C) the (D) no artiola is needed 19. What wurprise that she was able to succeed
after all.
(A) a (B) an
(C) the 20. The report said that
(D) no article is needed
one-armed passenger was
(C) the (D) no article is needed
hurt in the achident. (A) a (B) an
21. In my opinion, he is all but clever. Do you think
that we should ask for his advice? This means thut (A) I think he is clever
(B) We ought to ask for his help since he ie claver (C) He is not clever enough to give us advice. (D) He is clever enough to give us advice. (E) You think that he is clever too.
22. He was to have paid his debts, in that case, 'he
would not have made the Manager Bo angry. This means that he
+
(a) had paid his debts because the Manager was
angry
(B) had not paid his debta because the Manager
was angry.
(0) had paid the debts because he did not want to
make the manager angry.
(D) had not paid the debts and it made the Manager
angry.
23. No punishment would be too severe such a villian.
This means that
(A) no severe punishment should be mads to a
villian
(8) such a villian deserves severe punishment.
such a villian would be punished severely. (D) over a villian should receive fair judgement.
24. He hadn't even time to pay a visit, to his
grandfather, let alone the new friends whom he had just got their acquaintance. This means that (A) he paid a visit to his new friends. (B) he visited his friends but did not visit his
grandfather,
(C) he got the acquaintance of his new friends
because be paid them visita.
(D) he visited neither his grandfather nor his
friends.
(E) he had either visited his friends or kis
grandfather.
25. No sooner had he reached the top of the magnifi¬ cient mountain he heard the terrible rear of the giant. This means that
(A) he reached the top of the mountain soon. (B) he heard the roar of the giant when he
reached, the top of the mountain.
(C) after he reached the top of the mountain, ne
heard the roar of the giant.
(D) he climbed quickly up to the top of the
mountain for he heard the roar of the giant. (E) as soon as he reached the top of the
mountain he heard no more the roar of the giant.
the right
6. What a pity you couldn't join us. We
in the party yesterday. (A) have
(E) had
much fun
(3) have had (C) had
(D) had bad
much more
26...
PXP (4)
8
7. By the time" you see him again, be
полеу.
will make (B) geta (C) is going to make will have made (E) is getting
8. The ben
laying an egg each day before at became too old..
(A) would be (B) used to (C) was used to (D) wa
(E) did
9. The whole house
reach the place,
ne.would find it out. Should he come
here B) If he comes here (C) Did he come here
(D) That he came here
27. The match would not have been out off.
down before the firemen could
28.
(A) was burnt (B) would be burnt (0) had burnt (D) was going to be burat (B) had been burnt
nere
10. I wonder what he is thinking about. He
29.
without making a slightest movement for more than half an hour.
(A) sits (B) is sitting (0) has sat (D) has been sitting (E) will mis
(A) if it did not rain.
(B) if it was not the rain,
(C) had it not been for the rain. (D) were it not for the rain.
we stayed at home.
(A) Being rainy (B) It being rainy (C) The weather was so rainy
(D) The weather rainy
he as timid.
MATHEMATICS (13)
Factorisation (cont.)
If two or more integral expressions give a product which equals to another given expression, then these integral expressions are called factors of the given expression, and the process of finding factors is called resolution into fabtors or factorisation.
Resolution into factors is an inverse operation and differs from the direct operation of multiplica- tion. Any two or more expressions can be multiplied together and their product can be easily found. But, in general, an algebraical expression written down at random, has no simple factor e.g. 3x + 4, cannot be expressed as the product of two simple expressions (other than 1 and itself).
There is no general method of factorisatiba.
In multiplication, we have a definite process which always gives us the product. But in order to Factorise a given expression, we have to learn a number of special devices. It should be noted that when one factor of an expression is known, the other factor(s) can also be obtained by division.
*
(A) Expression in which each term has a monomial
factori
Example 1: Resolve 3a5 - 5a3x2 + 15a153 into
factors.
Exp.
-
3
5a2x2+15a15,3
5x215123
- a3 (3a2
(B) Expression in which the terms can be arranged in
groups, which have a common factor:
Example 2: Factories a(b 5) + 4 (5
Exp - a(b 5) - 4 (b
5)
-
b)
THE
4) (b La
www
5)
2
+ bx + O
(C) Expression in quadratic form: ax
Consider the identity, (hox + p) (k + q)
ax2 + bx + c
By equating like termS
A -hk hhqkp
2
- pa
Hence in case of factorising ax bxo, it is necessary to replace "bz" by two equivalent terms "hqr" and "kpx" such that
(i) hq + kp ** 10 (ii) (hk) (pa) AG
Example 3 Factorise -4x2
Exp -
-(4x2
ww
[4x2
-
- 15+ 16x
16x + 15)
10x 6x+151
-
- [2x(2x-5) 3(2x-5)] --(2x-3)(2x-- 5).
- 2x) (2x 5)
Note: Some quadratic expressiope can often be
factorised by inspection. Yet, the answers should always be checked mentally by multiplication, whichever what method is used. The above example will be simple by using the "cross product" method.
(D) Difference or two squares:
2
A
*
(A + B) (A
-
B)
-2x32
(3x+2y)2
2
-
Sxample 4 Factorise 4(3x
BID =
[2(3x - 2y)]
(3x + 2)2
- [2(3x - 2y) + (3x + 2y)]
[2(3x - 2y) (3x + 23)] (9x- 2y)(3x - 6y)
- 3(9x - 2y)(x - 2y)
11. The girl, dressed beautifully, went dancing along
the street to the
200.
(A) child's. (B) child (C) children's
(D) childrən (E) childrens'
12. The thief broke the
house..
before he entered the
(A) windows * pane (B) window's pane (c) window of the pans (D) pans of the window (B) the house's pane
13. He is no good at physics that we all call him
expert and
(A) Newton (B) the second of Newton
(C) Newton's second (D) the second's Newton (E) the second Newton
14. The tramp had a small bundle of rags and bite and ends and a pisos of string to tie all the things. The string became loose and his belongingo
angrily. alipped. The tramp looked at
1) the belonging's string (B) the belongings' string
the string'a belonginga the string
(E) the belongings string
(A) He is however strong
B Whatever he is strong
C
However strong he is
(D) In case he is strong
30. I shall not give you any help,
(A) so he will not
(C) either he will (E) neither does he
31. The teacher told us
·
(B) neither he will
(D) nor will he
that we must not be late.
and you must (A) be not late too (B) not be late neither (C) not be late also (D) not be late either
32. We were surprised to find that no even a word
before he went out.
ल
did he speak to us (B) he spoke to us
he told úв (D) he did speak to us
33. We are not talking about that. What you have
Buggested is a
(A) cow in the field (B) horse of another colour (c) bird in the bush (E) fish cut of water
14. Keep quiet, will you? Don't judge me before I've
finished the explanation; plsamo
(A) hear me to the end
(B) hear me off
(C) hear me
on
(D) hear me out
15. Before we can be sure of what he oan do, we have
to
his strength. (A) gang (B) gamble
(C) gauge (D) gaud
2
A
(E) In the form of Perfect Square:
2AB+ B = (A+B)
example 5 Factorise 4x2 + 92
(4x2 + 9y2 - 12xy)
(2x - 35)2 - (58) 2
*
Exp
12xy
25z
ww
2522
(21
3y - 52)(2x - 3y+ 5%)
(F) The sum or difference of two cubes
If f(x)
**
I -а f(a) - 0
+3
- a3
a) is a factor of x
The other factor, obtained by division, 18
2
x2 + ax + 2
Similarly, if F(x)
x3
+ a3, F(-a) - 0:
+ a
.*. (1 + ■) is a factor of x
The other factor, obtained by division, is
x2
-- AI
a2.
We have therefore the following identitiest
(x3
a
-
(x − a)(x2 + ax + a2
(x2 + a3)
2
(x+ a)(x2 - ax + a )
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