1987-10-22 — Page 18

頁二第張五第

日卅月八年卯丁曆夏

1988中學會考 試題預習專欄

5. If prove +b)(ced)-(b+c Find the value of k

2.

20y+125-0

that

representa e peint Cofrele

數學(四)

7. Prove the identity

(1+tang)+(1-tano

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Revision Exercises

for

Cen. Exam: (1988)

MATHEMATICS (4) Teat 2

Answer:ALL" questions in Section A and any FIVE io Section B. Section A

1. In figure 170 is the

centre of the circle ZAED 800 and ZADE-70°. Pind 0

10

Bodobjected the

value of (2x-1),

In figure 2, 0, ie the centre of the circle, 0A-0B-10 cm and

ZAOB-120. Find the area of the shaded region. (Take π-3.14).

Pigure 2

In Ligure 5, ZABC-90°

¿CAB#30°,·· ZGDB=45° and AD-10. Find the length of EC

1988中學會考

「試題預習專欄

cos e

Section B

8. equilateral triangle.

bas e perimeter of 30 cm Another.. triungle is formed by joining the mid-points of the sides of the given triangle, another is formed by joining the mid-points of the sides of the

2nd triangle and so on. Find

(a) the sum of

perimeters all triangles so formed,

(b) the sus of Breas of all triangles

so formed.

(This question is for Syllabus. B only).

The cost of making to painted ball varies partly as the square and partly as the cube of ita radius, If the cost of a painted ball of radius 12 cm is $37.3 and that of

B Fading

Cm 18

find the cost of a de11, whose radius IB

10.As shown in figure 4.

from a point A on the horizontal ground due. south of a tower, the angle of elevation of C, the top of a tower

is 25°C. From a point B, on the "sane horizontal "ground,

due east of the tower, the a angle of

elevation of C 18 0.

Find:0 if the

distance between the -points of observation in four times as the height of the tower

see that Germany R decision to declare

aron

Russia

-and vas due

uence of

outs

them

歷史(四)

had the

Eng on

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WAH KIU YAT PO

Figure 4

.In figure 5 ABC is

right angled triangle with right angled at C. AEC, CDB and ACB are tend semicircles with: diameters AC, CB and; AB. Find the ratio of the area of the ahaded region to the Brea of triangle" ABC,

Figure 5

12. (This question is for

Syllabus A only)

(a) Expand (1+x)5(1+2x)5 in ascending pavers. of x as far as the term containing x3, (b) Using the result

of part (a), tind an approximate value of

(1) (1,0302)5 (11) (0.9702) 13,200 students took

examinations in' English, Chinese and Mathematics. 25 passed in Chinese and English; 15 passed in Chinese and Mathematics; 10 passed in Mathematics and English only; 40 passed in Chinese only; 30 passed in English only: 20 passed in Mathematics only. There are

altogether 40 passed

in Mathematicae

(a) If a student is

picked at random,

find the

probability that

'he passed in (all three

Rubjects, (ii) one subject-

(i)no subject. If a student is picked at random from those who

French desire to regain Alsace Lorraine from se Ger

France.

places

MILL & DALE 'PRESS-

ally

Revisión Exercises

How

Cert. Exam: (1988)

Idup

HISTORY (4)})

First

Russian

Russia

The

the

the

Ger

ther German regain

ВЕОЛЕ

the

under

stria Turkey.

30

報日僑華

paased in English, find the

próbability that he also passed in Mathematics.

A farmer has 25 acres of land, #1000 capital and 120 man ̈days of labour to prepare for two crops A and B. The cost per acré for- sowing crop A is $20 and the crop for B- ia $50. Crop A taken 6 man-daya per acre, while crop B takes 3 man-daya per acre. The profit on orop A. is $11 per acre, and that on crop B is $18 per acre. If the farmer spent x acres aud y acres of land for crop A and crop

B respectively.

(a) Write down the constraints in

-

terms of x and y. (b) Write down the

profit in terma of x and y... Using the provided graph, find the values of x and if he wants to have maximum profit,

(d) What is this

maximum profit?

生物(四

DA LI I KE KA

MILL & DALE PRESS

Revision Exercises

for

Cert. Exam, (1988)

BIOLOGY (4)

France and Germany (after 1890) often ran into conflicts with each other Notva single colonial dispute. led to any war between the great Yet international

vere

bly worsened, For exa ple, the

relations between Britain and Germany were badly affe

A the British policy of

monopolizing the major

share of colonialismy and

B. the German policy of

challenging: Britain in

The

¿teï

much

RES

SIBILITIES OF THE GREAT POWERS FOR THES

OUTBREAK OF THE FIRST WORLD WAR

·四期星

日二廿月十年七八九一曆公年六十七國民華中

Solution to unit 2.

Cheese and beef Vitamin C: Long-term

deficiency of vitamin C will

cause the disease acurvy. The symptoms. Sre

bleeding of gun;

bruised skin and slow healing of wound.

(1) Vitamin A and

vitamin D..

(2) Lack of vitamin.

A vill cause night- blindness and low resistance to infection. Lack of vitamin Ď ́vill canse rickets with soft bones and enlarged joints. (3) Milk can provide vitamin A, C, D. (iii)Mineral selt,

water and

age.

(iv) Constipation. It

C

is due to the absence of plant. fibre which is needed as rough- age to stimulateTM normal peristalsis to take plage.

To show the affect of pH on the activity of an enzyme -

Iodine solution Benedict's solution or Fehling's

solutions..

Benedict's test

orange precipitate

no change

peaceful Kaiser William II- vas a' nil

settlement.

He saw things in N military terms. The steps he took (ore-

led Germany:

She intended: ish in troubled water during, the disput between

Serbia.

Test tube

Todine test-

Burqə on

Y

blue-black

blue-black

B

Test tube; A/ contains reducing · sugar, but no starch. Starch has been digested by ptyalin to: reducing angar. because ptyalin works best in a neutral medium,

Test tube B contains atarch, but no reducing sugar because ptyalin has been denatured in on alkaline medium.

Test tube containa starch, but no reducing sugar because ptyalin has been denatured in

an acidic medium. (iv) A control can be

set up as in tube Aby replacing saliva with distilled water. This is to ensure that the change in tube A is due to the action of saliva on starch solution and not due to any other external factora. To provide an: optimum temperature for the activity of the enzyme.

(vi) Salivary anmylase

/ptyalin.

(vii)Maltose.

3. (1) At low tempera- ture (U°C-10°c) the rate of reaction'

increases alowly because. 1ów. temperature

Revision Exercises

for Cert. Exam. (1988)

ADDITIONAL MATHEMATICS

(0)

Solutions to Exercise 2:

inactivates

enzyme,

From 10°C to 40°C the rate

Increases rapidly with the rise of temperature. It

is because the rise in

temperature da increases the kinetic energy

of enzyme and

substrates. molecules and thereby incranani

their chance of collision.

The enzyme

an optimum

activity at 40°c From 40°C to 60°C, the rate decreases. rapidly as temperaturë

increases because enzyme is being denatured at high temperature.

(11) pH, inhibitors,

substrate and enzyme concentra- tions,

Glucose in the principal carbonhydrate being oxidized in respiration to release energy.

(ii) Lactose Maltose

Sucrose

(iii)Sucrose (iv) (1) Starch

milk

germi-

nating

barley

Bugar

CARE

(2) Glycogen. (v) Cellulose acts a

structural material in the cell wall of plant cells to give the v strength. Boil the unknown solution X with a few drops of bydrochloric goid for a few minutes. Neutralize the scidic solution with sodium bicarbonate, and then carry out Benedict's test

The roots of this equation vill be equal if.

Patp+q

©)x+(a−b)=0

5.

roots are: cative.

roots, ve

then they

of roots=+(£+1)

stria::

would

DIABRE:Austria: ence in the,

troops. xation

not

Prod. of resta= <(41)

(-2)(^2+1)=b -(-1/01)

(AD)

the roots of the

equation "are"

(Ana

Cand A be

Jané

附加數(四

B

ts are