1986-03-04 — Page 30

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報日僑華

頁二第張八第 日四廿月正年寅丙歷夏 WAH KIU YAT PO

1986

The sum of first ten terris

n(EUR)

· P(ENF)==-

n(5)

中學會考試題預習專欄

=12 [2( 14 ) + ( 14-1 ) (-4)]

數學(廿四)

-40

OR

(Ans

The sum of first Len terus

The probability

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-1° [2(-2)+(10-1)(4))

Exercise.

=160

(Ana.)

(a)Let the circle passing

through: (0,12), (7,14)- and (6,4) be

(ii)The probabil.

(Aus)

B

Revision

for

Gert, Exam. (1989) MATHEMATICS (24) H.K. LO.

MILL & DALE PRESS LTD. Suggested Solutions to Test Eight (cont'd) 1-9..

(a)Slope of x-2y+1 is

"Slope of L--2

Heuce the equation

of Lis y=-2x+k..

22

x+y=-4x+by-7×0.;(2). Substitute (1) into

x+(−2+k)=-4x+6(−2+k)−7-0 2_4 {k+4)x+(k2j6k-7)=0

The equation has

equal roots

1 2 (16+4)2 = 1 ( 5 ) (k2 +

k-9k-99-0

(k−1)(k+9)=0

kill

or

(3)

k=9 (Ans.} (ii)Substitute ke-9 into

(3)

- 4 (−9+4)x+(81-54-7)=0

5x+20x+20-0

**4x+4 :=0

(x+2)2 = 0

=-2(-2)+(-9)

-5

the point of contact

is (-2,-5)

(408.)

Substitute kell into

(3):

(1144) 2 + ( 121+66-7)=0

5x-60x+180-0

12x+36=0

2 + 192 + 2 P (0) + 21 ( 12 ) +

241+0+144-0.

72 +112+2f(7) »2«{11}+c=0 / 14f+2+g+c+170m0...(2)

(6′′ +47 +20(6)+2g(4)+c=0:

12f+8g+c+52...........(3)

(2)x6

84f+132g+6c+1020=0..(4)

(5)x7

84f+96g+76+364×0.. (5.)

-(4)-(0)

76g-c4656 0.

100g+800=0.

Substitute the value

of ginto (1)

24(-8)+c+1440

C-48

Substitute the values of and £ into (3) 12g+8(-8)+48+52=0

The circle is

==

2+ y2-6x-10y+48×0

(b)Since: (k,5) is also on

the circle, therefore,

に

k_+5 -6(k)¬16{5)+48aU

k-bk-7-0 (k+1)(k−7)=0

k-7

As shown in the

(ans.)

Area of the shaded region

--1761-(1.0472-0.433)

0,559 m

(a)Since x, y and z are

in G. P.

.logy' alugi x2}:

21ogy=lugx+logs

Logy-logx-logo-logs logs, logy and logz are in A.P..

Let Fa DE=asin30" CV-Gain30"

acos30

BC OCR

C=0¢sin30":

acos 30"

AB=0BR1130

cos 30 sin30'

AB BC_CL co930

BG-CD. DE

AH, BC, CD and DE

from G.F

電

腦

(廿四)

figure, VC. represe

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(x-6)2-0

the building of

x=6

height 1 metres,

y=-2x+k

2(6)+(11)

1

19 (0,-1)

19%

în rt. A40C,

AU

[h

(Ang.)

AU

#3

In rt. ABOC

[BUT

n(E)20 P(E):

n(E).

#36

the point of contact.

(a)Let the A.P. be x-24,

x-d, xx+d, x+2..

• (x-20)+(x=d)+x

5x30

(x-d){•){6+4)=120"}

xmb.

2

36-d-20

when dy x-2d-6-2{-4}

=14

the first term is

and the cosmon

difference is

・When 4,

X-Ld÷6_2(4)

the first term.

and the common

difference is 4,

1986

中學會考試題預習專欄

化學(廿三)

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Revisi on.

for

Exercise

Cert, Exam. (1986)

CHEMISTRY ČIT

REGINALD V. CHỤ

NILL & DALE PRESS LTD.

Question 34

(a)Solution X was made

by dissolving dry hydrogen chloride in dry methylbenzene.

(1) What would nappen og

adding a drop of, solution Xanto piece of dry blue Litmus paper?

(1) There is no current

detected when twe carbon electrodes: connected to a battery are placed in the solution X. Why?

(111)khat would you.

observe on passing ammonia gas, into the solution X? Explain your observation "briefly.

(iv) Using the outermost

shell only, draw a diagram to show the.

(44.) ((6,2)

n(F) 5:

P(F)-3

(Ans.)

834

1)ROF= {(4,4)}

(ENF)=1

0(FAP)=36

(iv)n(EUF)=(F)+n(F)

(EDF) 045-1 10

electronic structure

of the substancë. formed in (111).

(b)Two experiments were

carried out by a

student on a

colourless gas. A and

the results were tabulated na belov.

observation -

Experiment

Gas A was passed The solution

was.

decolourized:·

into acidified

permanganate:

solution.

1898300.

precipitate B was obtained. A white

II Gan A was passed

barium chloride solution.

into aqueous

Basing on the

observation' în' I only, name one organic gas and two inorganic gases respectively that might be gas X.

(ii) With reference to.

the observation in both I and II. what would you expect. gos X to be?:

(iii)Write an equation of the formation of Bin II.

(c)When 2,45 g of a pure.

solid is heated,

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Revision. Exercise

for

Cert. Exam (1986)

COMPUTER (24)

MILL & DALE PRESS LTD.

Unit 24 Introductory

Computer Concept.

1. Which of the following

is not a description. of the control unit?

A. It the unit, that instrusts input and output devices.

It is the unit responsible for directing the flow of operation and data.

C. It is the unit whose'

output is

representation of the sum of the quantities represented by its

720 cm of a gaà Z, measured at room temperature and pressure, is”. collected and, 1.49 g of a solid residue is obtained. What is the relative golecular. bass of the gas Z7

Question 35

the graph below shows

the solubilities of two different salts and Y (which do not react) at various temperature.

Solubility in 9 per loog of H2O

100

Temp./8

At what, temperature do X and Y have the same solubility? What is the value "of their common

solubility":

(ii) What are the values

of the solubility of Y at 70°C and 30°c respectively?, (iii)When 50 g of a

solution saturated with Y at 70°c is

allowed to cool down. to 30°C, what would be the mass of,

imputa.

AGITns urger

within the computer. It is within the central processing unit-

2. Which of the following

media are examples of common output media of computer?

Jpunched cards TI. paper tape III.CRT

IV. magnetie tape. magnetic disk

A. II, II, IV, V

III, IVY

C. I, TI, IV, V. D. I, II, III, IV Elf the above

3. Each byte is address- able separately since

A. each.byte is assign-

ed address

B. each byte con store

arbit

C.

each byte has a header. containing

its own address.

D byte is the basic

unit of the CPU

E. byte consists of

bits.

4. A 10 K byte computer

system have

16 bytes of memory 16000 bytes of memary"

16384 bytes of. memory.

16x12 bytes of memory

E. 16x144 bytes of

memory

The ALU gun perform. Aarithmetical

calenlation only.

B. logical decisiona

only

Carithmetical

calculations and 1/0 operations, only

D. logical decisions

and 1/0 operetions only..

E. arithetical

calculations and

logical decisione.

6. Data processing

nousists of at least

three fundamental steps

Aurigination,

preparation and input of data

H. Preperation, input

and process of dota Input, process and output of data.

D. Origination... ipjut and output of data

“E. Origination, process

and output of data.

7. Which of the folloving

is not true regarding the main storage of computer

A. It is used to store.

data and programs.

B. it is used to store intermediate and

final results.n The main storage exchange information with ALU and the 1/0 devices under the. control unit magnetic disć, drum

& tape are frequent- ly used in main storage..

crystals of Y obtained?

(iv) When 120 g of an

unsaturated solution of X containing 45 g solute is cooled. from 90°C to 40°c. What would be the.. maga of crystals X deposited?

30 g of a solid mixture containing equal proportions of X and Y are added into 50 g of water. If the mixture is. then heated to 40°C, how much solid would remain undissolved?

(b)A series of reactions

on on alkanol x (CH20) ia shown in the block diagram

below.

an alkene

A

ethanoic acid and conc

IL SOL

an

alkanoick-X] acid. B

heat

an enter D

fchloro-

alkene

Identify and name the compounds X, Ar B, C and D according. to the IUPAC

aystems.

(ii). Stute the reagent(#). and conditions. necessary for the following

日四月三年六八九一曆公年五十七國民華中

二期星

E. The main memory of

the microcomputer is RAM.

8. In computer terminology,

10.

RAM stands for

A Read All Memory

Register ́jucess.

B.

Memory Ar C. Real About Memory D. Random Access

Memory.

E. Read Alone Memory

The output on the printer is usually called a

A soft copy

i. hard copy.

c. printer dopy

D. character, copy

E. lige copy.

Tar computer terainology VDU stands

for

A Very bear Utility." B. Video Display Unit. C. Visual Done Usage. D. Verigy Demonstrate

-Utility -

E. Vans Display Unit,

Which of the following

is not a peripheral device?

A. card render

printer

C. tape driver

D. arithmetic and

logie unit

tele typewriter

12, Nouvolatile storage

Las semiconductor storage as an example

iamoinly used in the main storage means that informá- tion already stored cannot be erased without switching off the power. means that the recorded informa- tion contents are not lost when the power supplied to the storage is removed.

E. is used in

gierocomputer system only,

Answers

1. C 2.

9. B10.B

ם .ל

5. E 6. C

8. D

11.D

12. D.

附加數

(廿四)

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Revision Exercise

for

Cert. Exam. (1986)

ADDITIONAL MATHEMATICS (24)

$.P. HO

MILL & DALE PRESS LTD.

Solations to Exercise '12 1. co86x+c0842+ces2x+1=0 COB2(3x)+(cosha+cos2x)*1

2сов 3х-1

conversions:-

(1) X.

B C

2cos 3x+2có 83xcósx=0

2cc83x(cos3x+cosx

cos3x(2cus+cos(3*=*)]

cazJa 0, .COR2x=0

(40±1)m

(4n±1)π

(4n+1)

where n is any integer.

2. Given: sinɔ̃0-a

sin 8-2- sin30-Jain0-4sin30

=sing(J-4sin20) 10(3-4 (2-D))

126

a=sine

(46)

16b

J6b-12b

3. Let 1-3x2(

dx

du-3x dx Let u=1+**, when x 0, x1. when x-1,' ù-2

2

du

-[8-i)

sin3Usin40.

(Ans.)

coa68cos(~20)) cos60-cos28)

(sin20sIn48)do

y=bx.

育教僑華

Equation of AT is

y=6(x-6)

Solving..

6x=~0(x-6).

x=3

y=6(5)

18.

.e.the "ordinate of T

i918

e.height of AT=18

area of AVAT

*6*18

area of region OMAT,.

=54-36

=18

egion

OMA -36

region OMAT

18

-21

Let M(a,b) be the mid-point of the

chord PQ'

Slope OM

Let the equation of Po be y=mx+c

This line meets the

22 circle x+y

2 2ac.

Sum of roots.

2ac

2ube

-point of PQ

abc

--[sine-gain26]

-글([0-12]-[증(-1)-1(1)]}

(Ann)

This is the... x' các ordinate of M

abe

equation of pq

at As yo

or

area of region OMA -So(6x-x) dx

36 sq. units

Now, dx-6-2x

+b

Let A(9,0), B(9,b) and P(b,k)

h2h

Ao

ab

8

at 0, ar-6 and at

dy. dx

=6~2(6)=-6 |

+1-0

Write au equation

of each of the

above conversions,

jurice an equation of

the reaction ( converting X to D

28

iv) When compound

heated alone in the presence of a peroxide as the catalyst, a compound. Y with a very large

relative molecular Bass is obtained, (1) What reaction has A

undergone?

Name tie compound Y.

(5) Write an equation of

ita formation.

Question 36 (a)Ammonia is prepared on an industrial scale: from the gasest nitrogen and hydrogen by the Haber Processi The reaction may be represented as follows.

Ng{E}+3Hg(E)—2NH3 { 8 } ;

(1)

AH-93kJ mol

State ONE possible source of each gas used in the abovė process and describe how the gas is obtained from its respective source. (ii) Would the yield of

ammonia be favoured by using a high or Lov, temperature?

Equation of UT is

(iii)Would the yield of

anmonic he favoured by using a high or low pressure? -

(iv) What mass of

ammonia

would be produced when 1 mol of hydrogen gas in completely reacted?

The gas leaving the reaction chamber (the converter) consists of ammonia and the unreacted nitrogen and hydrogen gases.

Suggest a method suitable for

seporating" ammonia. from the other gasés. What woul (2) What would happen to

the unreacted nitrogen and hydrogen in the above procesa?

(vi) suggest a suitable

catalyst for the above reaction.

(vii)Ammonium sulphate

and sodium nitrate are two common nitrogeneous Tertilizers. If they cost the same per kilogram, which is the cheaper source of nitrogen?: (b)The following block

diagram summarizes a series of chemical reactions. (1) Identify and give

the names of A, B, and D respectively (11) What reagent(s)

would you use in converting A to B? Write an equation 01

the reaction.

(2h) (2k)×8

hk=4

the locus of given by xy=4

irons

yellow

crystal

(Ans)

[white.

crystal. line: Lolfa

colo c'es irri

.ini

tating gan B

colour

colour-

tesa

solution

pll 3

Evoporate to dryness

aqueous sodium

hydroxide

Lauded

colourless

Bolutiung

E ell 7

chlorine Jes added bronáus solution

(iii)What other

inflam

aiable

Irae D

compound('s) would be formed when chlorine feacts with solution E? Write an iónic equation of the reaction.. (iv) What is the colour

of the flame when

(v.)

gas D burns”

A moderately concentrated solution E is electrolysed with carbon electrodes. Name the substance. formed at the anodes and the cathode respectively. Write the ionic equations of the reactions at the anode and cathode

respectively. (vi) Using the outermost

shells only, draw diagram to show the electronic, structure of a bromİNE nolécule.

(vii)Which of the two.

elementa, chlorine and bromine, has a stronger oxidizing power?

Page 30Page 31