買四結張五第日三廿月一十年辰丙屦夏 WAH KIU YAT PO
16.() (A. she know my B. she
knew my
C. she will know my D. I knew my E. I know her)
1977中學入學試試題預習專欄
御戆社主編
E. he is going there) 16. The lady told me that
uncle.
英文科
(+)
ENGLISH (10)
Choose the beat answer. Write
Example: Joe said that
very well.
the LETTER in the brackets.
"(D)
(A. he isn't B. he
hasn't
be D. he wasn'
E. he didn't)
1. Mrs. Lai told Dick
for
a day. (A. Stays in bed B. stayed in bed C. to stay in bed D. to be stayed in bed E. would stay in bed)
2. The policeman ordered them
at once.
(A. stopped their car
24()
B. stopping their car C. stop their car D. to stop their car E. to have stopped their car)
3. The doctor told the fat
· 13 13 13
3.()
(A. not eat too much
B. not to eat too much C. to eat not too much D. to not eat too much E. don't eat too much)
4. Charlie zaked his father
17. Margaret said that
Singapore before. 17.( ) (A. she was to
B. she has been to C. she is to
D. she'll be to had been to).
E. she
18. Mies Ho told Jim that
18.() after school. (A. he must to stay behind B. he had to stay behind C. he has to stay behind D. he needed stay behind E. he'll must stay behind) 19. Susan told Mr. Ho that
she
(A. feels ill today. B. felt ill today.
19.()
C. felt ill that day D. is feeling ill that day E. feel ill that day)
20. They asked us
downstairs.
20.( )
(A. what is the matter
B. what was the matter O the matter was what D. what the matter was E. the matter is what)
ANSWERS
1.0
4.()
2.D 3.B 4.A
5.E 6.0 7.A 8.D 9.A 10.0 11.A 12.D 13.E. 14.3 15.D 20.D 19.0 16.8 17.E 18.B
in his car. (A. to take him B. took
him C. take him D. takes him E. please to take him)
5. I told Helen
alone.
(A. don't rc swimming
B. didn't go swimming
C. go swimming not D. not go swimming
swimming)
E. not to go
6. She asked us.
5.( ) 6.1)
(A. where is the new
railway station B. where was the new railway
station C. where the new
railway station was
D. that where the new
railway station was
E. the new railway station was where)
7. Our headmaster told us
that
football. 7.( )
(A we might play B. we may play C. we might played D. we played E. we might playing) ·
8. Mr. lui asked
www.
in the
.().
room. (A. that who is singing
B. that who was singing
C. if who was singing
D. who was singing
E. who is singing)
9. Mother asked me
dinner.
for
9.0)
(A. If I wanted chicken
B. that I wanted chicken
C. I wanted chicken
D. did I want chicken. E. do I went chicken)
10. Miss Ho asked Ah So
his glasses. (A. that how he broke
B. how he breaks
10.( )
C. hon
he had broken D. how he broken E thet how he had broken)
11. John Baid that
cream.
an ice- 11.( )
(A. he wanted B. he will want C. he wants D. he is wanting E. he has wanted)
12. David said that
exciting.
12.( )
(A. the film is B. the
film will be C. the film be D. the film was E. the film were)
13. We all thought that
very well in the game. (A. they play B. they playing C. they are playing D. they have played E. they had played)
13.( )
14. Houry told Ah Ying that
her.
14.( )
(A. he can help B. he
could help C. he is able to help D. he'll be able to help E. he would be helped)
15. Kr. ang told them that
with them.
15.( )
(A. he goes there B. he
went here C. he would go kere D. he would go there
1977中學會考試題預習專欄:
明德社主編
新數學(十)·魯榮家·
Modern Mathematics(10)
Exercise 5.
questions in this section
報日僑華
Section A: Answer all
1. If x =
=1+ √31
Prove that
+3
= 1
3
X
2. If, 1 +2 +33 +
= 1n2 (n+j)2 for any
positive interger n,
find the value of
173
+ 123 + ....203
3. Solve the inequality
(2-2) ≥7 - 1×
3
4. A train runs from town A
to town B at a speed of
7
60m.p.h. and returns
back at 30m.P.h. Find
the average speed of the
train for the whole journey.
5. Prove the identity
(1+tane)2+(1-tane)2
cos2e
6. If L {(x,y):2x+3y=8},
L2
3}
= {(x,y):5x+y and L {(x,y)=4x-2y=5}.
3
Find the set L such that (L12)CL and L 3
AL
2 Ø
7. Find the value of k such
that
2
X + y2 + 8kx + 20y +125
=
O represents a point circle.
8. As figure shown.
m(AC) 10
find the value of AB.AC
10
Section B: AnswerANY SIX questions in this section.
9. In figure 2, two weather
observation stations A and B form a base line
d metres long in the same vertical plane as a weather ballon P. The angles of elevation of
P from A, B are d,ß re
三期星·
respectively, the angle of elevation of B from: A is 0.
i) show that the height
h of the balloon above station A is
*
d tand (sine+cos@tan3) tand- tan p
日二十月一年七七九一层公年六十六國民中 有教
i) Fill in the table below.
Number of Can- didates fall-
Pange of
marks
ing in this range.
10-20
•
ii) Deduce the height of
20-30
the balloon if station
A and B are on the same horizontal plane
30-40
40-50
50-60
60-70
70-80
80-90
iii) If also d and B. are
now complementary, what is the height. of the balloon above A in terms of d and d.
10. If O is the centre of
the circle
X +
---0
12x- .6y + 20
i) find the co-ordinates.
of O
ii) fidn the equation of
the radius Passes
through the point A(9,7)
iii) find the equation of
the tangent which touches the circle at
A.
11. Prove, by mathematical
induction
by 7.
12.
-
1 is divisible
a) Two cards are selected
at random from 10 cards numbered 1 to 10. Find the Probability that the sum is odd, if i) the two cards are drawn together
ii) the two cards are
drawn one after the other without replace- ment
iii) the two cards are
drawn one after the other with replace- ment.
b) A card is drawn at random
From a pack of cards, find the probability that it is
i) a spade ii) an ace
مجھ
iii) a spade and an ace iv) a spade or an ace.
13.
B
As fig.3 shown, 3 equal circles, with centres at X, Y and Z. touch one another and the sides of the square ABCD such that the whole figure is symmetrical about the diagonal BD.
i) What is the measure of
the angle between the line AB and the line XY?
ii) What is the length
of the radius of the circle if AB = 20.
14. If Pegi is a solution of
the quadratic equation
2
ax*+ bx+c= O where a, b and c are réal num- bers. Show that P-qi is also a solution of the equation.
15. The histogram shows the
result of 200 candidates in an examination.
از
90-100
ii) find the mean score. iii) From the histogram,
find: the Pass % if the Pass mark is 54.
數學(十) ·女長波·
Mathematics 10°
Exercise 4
Attempt all questions in section A and any Six questions in Section B. Section A(Each question carries 5 marks)
1. Factorize
2.
a4
- b (a-b)(a+b)3
In the equation 15x2 + mx 8 = 0, the product of the roots exceeds the sum of the roots by Find the value of m. Hence, solve the equation.
►
221%
3. One liquid contain a
of water; another contains 27% of water. A glass is filled 5 parts of the · first liquid and 7 parts of the second. How much · Percent of it is water?
4. A train 100m long runs
through a bridge 32m long at 45km/hr. How long will it take to pass it completely?
5. In the figure, BA and BC
are tangents drawn from an external Point B.to touch a circle, centre 0, at A and C respectively. ZABC=120° and the Peri- meter of the quadrilater- al OABC is 10cm longer than that of the sector OAC (shaded in the dia- grám). Calculate the radius of the circle.
A
B
6. Solve the equation,
giving all solutions from 0° to 360°. sec2A =13tanÀ + 1
7. AB and DC are two chords
of a circle. When pro- duced they meet at E. If AB = 4cm, BE-6cm and CE = 3cm, Calculate the length of CD. (Geo- metry theorem need not be quoted when used). 8. In the figure, ABCD is
a parallelogram. DE=2EC Find the ratio of AE to FC. (Geometry theorem need not be quoted when need.)
D
C
B
Section B(Each question carries 10 marks)
9. A hill slopes up at an
angle of 28° with the horizontal. A man without load on his back can climb at an angle of 12° with the horizontal and the other man with load on his back can climb at an angle of 59 with the horizontal. What is the angle between their tracks on the hill? 10. Draw the graph of
y= 2sinx°+3cosx° for value of x from 0° to:
90°. Find the values
of x between 0° to 90°. if
(a) 2sinx+3cosx is a
maximum
(b) 2sinx + 3cosx = 3.5 (c) 10sinx +.15cosx=x 11. A salesman's income.
in any month is part- ly constant and part-w. ly varies directly as the value of the sales in that month. When the value of his sales. is $10000, his income in that month is $900. when the value of his sales is $12000, his income in that month. is $1,000.
a) If, in a certain month, his income is $P and the value of his sales. in that month is $- find an equation con- necting and a
b) If the value of his sales
in a month is $30000, find his income for that mon th.
c) What must be the value
of his sales in a month so that he will get an. income of $2000?
12.
4cm.
A cuboid of lead, speci- fic gravity 11.4, méa- sures 10cm by 6cm by
It is melted down. and made into spherical pellets, each of radius 5mm. Find, correct to. 3 figures,
a) How many pellets can
be made and b) the weight of each
Dellet in grams.
13. In the figure, FQRS
is a square of side 4cm inscribed in a circle, centre 0. V is the mid- Point of the side PS. OV is Produced to meet RS Produced at x. PX is joined.
a) Frove. (i) XPR is an isosceles triangle, (ii) rx is a
tangent of the circle
at r
b) Calculate the area
of the trapezium PORX.
P
14. OA,OB are two Perpendi-
cular radii of a circle, centre 0. A chord гQ, Parallel to AB cuts, AO at C. If M is the mid-
Doint of PQ, Prove that a) MC = MO
b) PC2 + Qc2
AB2
15. 2 men set out to meet
each other from two Places 330km apart. One travels 30km the first day, 28 the second, 26 the third, and so on. The other travels 20km the first day, 24 the second, 28 the third, and so on. When will they meet?
16. A manufacturer sold a
radio gramophone to a middle-man at a profit of 30% on the cost of the manufacturer: the middle-man sold it to a shopkeeper at a pro- fit of 10% and the shopkeeper at a Drofit of 10% and the shop- keeper sold it to a
customer at a profit of 40%. If the custome paid $10b2 more than the cost of the manu- facturer, find the pro fit made by the manu̟- facturer? manufacturer?
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