1969-05-06 — Page 23

正文中學會考試題預習

育教僑華頁三第張六第日十二月三年酉己歷夏 WAH KIU YAT PO

報日橋華

(接第六張第二頁)

二期星日六月五年九六九一公年八十五國民中

接第四張第三頁)

文中學會考試題預習

P. 1248

Q. 25%

R. 10%

數學科

(井七)

·歐陽盛女

S. 5% T.

P. 6 yd.

Q. 26. yd.

50. Fig. 1 represents a circle inscribed in a semi-

Calculate the diameter of circle; AP-10 cm. the smaller circle.

R.. 20. ft.

S. 6. ft.

T. 26 ft.

38. A piece of paper 1 mile long,1/300 in. thick, is

rolled into the form of a solid cyclider, ita diameter. correct to 1/10 in.

39

r. 10.4 in.

Q. 8.2 in.

R. 0.02 in.

S. 20 in.

T. no answar

Find the value of AB if tan A-2, tan B

P. 68 121

Q. 45°.

R. 2.5

S. 90°

Find

40. A circle is inscribed in an equilateral triangle

of side 6 inches. what is its radius ?

P. in.

Q. 1.80 in.

B. 3 in.

S. 3.46 in.

T. 1.73 in.

41. From halfway up a tower the angle of depression of

a mark on the ground is 52°.27. from the ton of the tower ?

A. 68°

59+

❤ 541

B. 104

C. 26° 13'

D. 60.

E no answer.

What will it be

42. A shopkeeper marks his goods at 45% above cost,

but allows a discount of 10% on the marked price. What is his net gain per cent ?

43. Find the

Section B

P. 10.9.

Q. 2.27

··· 454.

S..0.91

T.. $.45

Do ang Four questions.

All necessary working must be clearly shown. Marks will be deducted for poor presentation of material.

51. 10,000 tiles, measuring y in. by 43 in., are laid

in rows 100 tiles in each row. The tiles aré · 1.in. thick and the joints, which are 1/9 in. wide are filled with cement. Find in. cu. ft./cu.in.. the volume of the cemerit...

52. (a) prove that

tan e 1+tan e

cot' 1+cot e

1 - 2 sin".cose sin cos e

(b) Ir 3 cot.∞ = 2, find the value of

10 sin∞ 6 cos

4 "sin +3 cos c

(c) Find to the nearest minute, the smallest

positive angles which satisfy the equation:

12 tan*A + 7 tan 12=0

53. A man would gain 20% byselling a chair for 47s. 6d.

and would gain 15% by selling a table for 57s. 6d. He sells the chair for 368.; what is the least price for which he must sell the table to avoid - any loss on the two together ?

54. Two persons who are 500 yards apart observe the

bearing and angular elevation of a balloon at the same instant. One finds the elevation 60′′ and the bearing SW,, the other finds the elevat- ion 45° and the bearing W. Find the height of the balloon.

55. (a) A man buys strawberries at 8d. per lb. He

sells 2/3 of them at 1s. per lb. and the rest at 8 lb. for 49. Find his gain per cent.

(b) Find, to à figure, tne error par cant in taking the weight of a rainfall of 1 in. as 100 tona per acre. (Given: 1 cu.ft. of water weighs 62.3 lb.)

A. 403%

B. 35%

C. 55%

D. 32%

E. 30%

value of x. if 2=3

A. m.

글

B. 1

C. 1.585

D. 1

E. O

4.Find, to i figure, the error per cent in teling

70

as the value of log 2 → 10g ( 1

1 Draws D

++)

when r6.

A. 2%

B. 1.8%

C. 0.9%

D. 1% E..0.6%

*

45. A man on the top of a tower 200 ft. high measures

the angle of depression of milestone as 241 How far is the milestone from the man ?

A. 1 mi.

B: 492 ft.

C. mi.

D. 1/3 mi.

HINTS & ANS To Ex. 26

et with one vide≈ 3 units, hypotmuse=4" Then the g. on the third side is of an aree Length of the third side is 17

ze

\ (1) Draws QOR LAB (cut 00 «#Q ̧§

vis Jom QP, cut 00 at T viii) Draw. C'CP LAB

"ur: Join DT and produce

it to meet PCC' at C. i) Cente C, radius CP

(CT), draw a circle then, one solution is obtained. Replace &,T. by ER, T^[Another solution)

$8 units

英文科

(HE) 桂枝

To let out a dress as to

(1) throw it away

(11) lengthen it (iii) make it larger

(iv) make it smaller (v) make it shorter

10. To call up 18 to...

(1) criticize.

(ii) telephone (iii) visit

(iv) make an appointment

(v) shout

11. To bleach something 18 to

(1) darken it

(ii) remove the colour from it (iii) freshen it

(iv) cure it

(v) straighten it

To "look over" something is to

(1) admire it

put it aside

(iii) examine it ~(iv) withdraw it

(v) glance over it

13. To keep up with" means -

(i) to remain abreast or (11) to keep silent

(111) to tolerate

(iv) to endure

(v) to be on friendly terms

14. In a men's store the suits usually hàng on

(i) chairs

(iii

racks

counters

(iv) ropes. (v) cases

15. To mind" something is to

(1) benefit from it

(ii) understand it (iii) study it

(iv) cbject to it

(v) ignore it

16. The superintendent of a building ia also often

referred to as the

(i) owner

(ii) tenant

(iii

servant

(iv) janitor

(v) superv1301

17. when one rents an apartment, the legal contract

which one generally has to sim is

&

(i) bid

(ii) lease

(iii) privilege

(iv) concession

(v) compromise

LU. "Presume" means to

(i) guarantee

(ii) confirm (iii) affirm

(iv) take for granted

(v) suppose

known 28

19. A store keeper often refers To ni. merchandise

as his

(i) belonginge (ii) properties (iii) stock

(iv) possessions

(v) articles

20. To give someone the devil 14 tc

(i) praise him highly

(1)

treat him with respeсT

(iii) criticise and abuse him

(iv) treat him with disres vect

(v) humour him

E. 500 ft.

and then

46. A man walks 1000 yd. on a bearing of 25",

a

- 800 yd, on a bearing of 35' How far is be North

of his starting-point

P. 1800 yd.

Q. 1600 yd.

R. 1620 yd.

S. 1486 gd.

T. 1560 yd.

47. If B exceed A by 16%; C exceeds B by 25%; find the

ratio of A to C.,

P. 5:4

Q. 20:29

R. 16:25

S. 25:16

T. 125:116

a. brew a

..

LAY ABC D

of are a Draw a semicircle EAF work EF = dia = 9 units

Drop AD = side of sf of area is Then DF = * =unknown

PROOE Complete reet EG

·ED OF AD

Rect EG = 5p. AC =12

¢ 4 + x) * = 12

* In the given rech

H

4 AD > AB

țis Complete ABCD to be a up ak

semi cucla on AH

viii) Produce C8 ́t mcer

the semicirds at E

un Jain AE

in Describe a sp. a AE

Then, A£F 6 is the rag'd

яднала

H

48. Evaluate, to & figures,

0.064 * [ 2.3 x log(72+0.35)+0.25]

P. 0.3570

Q. 0.3569

R. Q.3565

S. 0.3578

T. 0.3584

49. Ey what percentage does 3/4 exceed 2/3.*

ji Alternative

METADA

las Produce AB 4 1

•

such that

E

F

G

BX-60 thy with olis ́m AX», demas

Semicircl

semicicla at £

a

BE

(8) DESCHBL a' if. OF Then SEFU is the sagt squam Tià construción depends on the property of interacting chords mean proportional )

Ca

Note (1) The above construction in based on Pythagoras

<HEA AHAG

EADSE

in semicircle SAS

But SHAG

JDAE

= ADAB == Act AC

- Mch AC

Y AP

dis Draw SANK OF HR such that

2 AHK =♣f 36°m15*;.

Liis Pranit perp, bisectors of "AH

HE at & C. resp

Ak to mat

Then 4ABC is the rpaund, triangle