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南一弟張六弟第
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英文中學會考試題預習專欄
數學科
(四)
MATHEMATICS | (4)
歐陽鎰女
LESSON 4: MISCELLANEOUS PROBLEMS I
The following are the examples concerning with
the problems on clock & races relative velocity and
change of unita ete..
STAMPLE 1: A man walking at 5 m.p.h. 'passes a milestone
SOUFTION
at 3 p.a. and st 3:14 p.m. a syclist going
the-a825" way at 12 m.p.h. passas the saxs
milestone. At what time does he overtake the pedestrian?.
The man passes the milestone at 3 pm
cyclist #
* 3:14 pm
Hence, at 3:14pm, the man is 5mi xu ni ahead the Byclist.
In 1 hr the cyclist can overtake the man by
-12 ml. - 5 må, m 7 mi.
To overtake the man by 7 ml, the cyclist peada 1'hr)
#t
-10 the opallet overtakes the man at 3:14: 10min=3124p EXAMPLE 21 8 0.0. of a liquid, sp.gr. 0.65 are mixed witi
120.6. of a liquid, sp.gr. 0.85, find the ap. gr. of the mixture assuming there is no chen- ical reaction.
SOLUTION
By definition, the specific gravity of a sub- stance is defined as the ratio of the wt. of any volume of the substance to the weight of equal volume of pure water (at 4° C). Which is a ratio, does not depend on the unite chosen.
Bc.c. of the 1st liquid weight 0.65x8 5.2.gm 120.c.
20.65x12gm=10. 2000.- " "mixture weigh: 5.2gm+10.2gm15.
Jose."
* 15.4 go = 20=0.77 Azm 10.c. Bure water at 4°c weighs 1 gn the sp.gr. of the mixture is 0.77m/1gm=0.7%- EXAMPLE 3: In a quarter-mile race, A beate B by 20 yd., and C beats 8 by 2 sec. If A takes 50 sec to do the quarter-alle, find whether & or C wins and by what distance to the nearest foot.
SOLUTION 1 The length of the race Is_dml = 440yd
In 30 sec, a runa LOT
0-20)=420 yd
·B runs 440yd in 50asc
No Log
*(522) 800.= 50% see 440 2.
Since, A runs 440vd in 50 sec.
wing the race.
Ana, in 50
sec,û runs 440 yd
sec,C buna 440yd x
=(3x440x) ft
9.982 ft.
mum: 1058
Hence, A rina § by 10 t. ( gorr, to the nearest v EXAMPLE 4: Express a speed of 18 knots in mph, taking
1 nautical mile ae 6080 ft and give the answer to 3 fig.
SOLUTION: 18 knots means 18 nautical miles per hour
18 knots = (6080 x 18)ft per hr
6080 x 18
5280
20.73 mph 20.7mph
No.1 log 6080 3.7839 18 1.2553 num-10392
dan 3:7226 Exp 1
EXAMPLE 5 I 150,190 and 200 are each divided by
sertain number, the remainders are 3, 1, 8 resp.What is the greatent value of the divisor SOLUTION: When 150 – the divisor, the
190 260
Hence, (150 – 3), (190 - 1), and (260 – 8) are each. divisiable by the divisor.
1.4. 147, 189, and 252 are multiples of the divisor. The greatest value of the dirisor is their B.C.E.
1473 x 72
189—3 17 252-23 1
•H2O.F.= 3 x7-21
STÄTINÉT three, men A,B,C go round ■ e-roular track 1 mile in circumference, in the sass direction and starting together from the same place. â bicycles at 352 yd per minute, B runs at 220 ya per minute, C walks at 132 yd per minute. After how many minutes will they first be te- gether again at the starting-point 3 PA SOLUTION: The 0°*
of the circular track is 1 mi= 1760 yd Time taken for A going round the track Alp 300`sea
8
min 480 sto
Ta man 800 s
300=2x 35,480-27x3x5, 800=253 5a
AT PO
WAH ·KTU
ENKE
EEN HER
任之客
RENFAYER
。留美時,黃君會從
福樂團的中國音樂家
1位被盤習與上燕交
ANA
一赴美深造前,已是上
年費雜音樂界。在未
• ER
(PIERRE MO
北林比亚大景音樂及音 一於一九六一年榮哥 OFKENZ 一皖來自世界各地的出
****1-E 「被張任營盤學院音樂
日其得意門生之一,直 NTEUX)學習,爲
毅然在
・大器でBOJO] |水在南加路过那州下 榮發育博士崗,同時
NES UNIVERSIT
熟悉。黃君於旅 在本號樂壤,水孫 【的音樂會節目中,如 一人稱道的中國演唱] ,其作品傳列於最塔
一戰後,今始固能。此一
在作曲方面卓有成就
YJ敎授樂理。黄君
此甘
1968
英文中學會考試題預習專欄
英文科(四) - MRS - BENNETT •
English (4)
Anawers to Paper III
Comitted, crima, 2. recreation, pastime
5. pass) truth.
3. opinion, nothing. 4calling, speak, 6, spand 7. prevalent. 8. courage 9. publicity. 10. hired rented.
8. 1. vi sng the connage the taller.
2. She divided the apples among rer
9. He said he would stay either in New York or
Washington.
She said she could not go out as she had too much homework to do.
The population of London is more than that of Barfs.] 5. He has not the time to do it,
7. He has not been to visit me for three months.
Nobody asked him to the party.
9. I have not been out for a long Xime 10. I saw a man with a red bear
C. Turn over a new
living
2. Too many
will get
To kill
things
What fo
persons have
Any port in a 5
one looks for help
·野上本身的生活,彼等非
職業演唱家,但對本
IIRKENSR-21
down the street..
way of
workers] Gult may be
you do not
Lo be wicked.
o accomplish two
ranspo18 on
great difficulty For anyonezë
8. Strike while the iron la hot act when you have
the opportunity,
9. To be born with a silver spoon in the mouth
born into a rich family.
10. Soft words win stout hearta
persuade stubborn people.
LIBR
kind words can'
Freddy told Abdul trat he could trust in and asked him to let him know if there was something he could do to help her, any thing that Abdul might naar of.. Then he enquired when she would be leaving Jordan and whether she would manage it unobserved, Abdul said he thought she would be leaving soon. Although he was sure she would get away he did not know how it was to be arranged.
Freddy told Joanna not to say a word ea it might lead to bloodshed; to which she replied that she wished he would stop talking about that.
Freddy continued that it was a dangerous part of the world and bezzed her not to say a word to a soul.
5. L. tog beside/near; on.
5. of; to. 10. for.
with.
into, at
8. of in 9. for of
2, et. 3 with 7. among.
Paper IV
Rad we known that the journey was still to take u another week we should certainly have turned back. That night we finished the last of the Linned food and for the rest of the journey had only raw astmeal - of which, fortunately, we had brought a fairly large bag mixed with water each morning and each evening, and for the last two days we had water alone.
1 cu. ft. of ostal bkk weighs 625 16. the hollow metal ball weigh 625 lb x == 7.6515 the mean distance is 1.51 10 km
the length of the orbit le (27)(1.51 × 108 jim In 365 days, the Earth travels (2 m) (1.51 x 109
1.609) 271 1,511 102. 1,609 * 3652 27 1 1.51 x 108 17609
In 1 day, the sarth travela
L.C.M. = 2 x 3 x
the time they will
11 first be together
sin at the
The
60
HITS & ANSWERS TO EX
The dias of the semi-circular
P vadina
The length of half 0° is 7.(1.75′′) -
The perimeter lo 540 4
6" then ( 3′′ )2 = 36, 77 =
Volume of ́motal, is
V721.12
14 3.5
1.259
5)
speed of the Barth
Aras of the whole roll – #(k) =3247 89, in,
roller
67300
area of paper 13247 17 ) 89, in .= 32.5 mi eg, ik. which equals 5 x thickness = 52805x12 x thickness ANS 0.00312"
--
Lam 160 #q,in, the ares is increased by 120 an. in.
The CTOBE-sectional area
-十年七六九一感全年六十五國行中
曹行師·防出台台及拍年和尔近曲個文樂曲者一
在外在
關
獲港 指價
利學系 桑水所
洛生
雜廿轺來人樂樂
校榮及由保
永頭
呼演版
以最行之
|港聖樂團演唱
TERE
DONKENEN
「難女士會留學美國
<H-TEXE BNKENE SEN
三唱家 會担任獨唱之其他三至部件案,則由
含不可多得之人材。本港最有名之瓦評部 音樂 造,其功件安技巧。 ‘此之ㄧ,近年更赴美深 我會不遺餘力,越鑭女士,多年來已是 一。多年來服務教育界任國孿伊安之鄉李淑 樂團及其他樂演出演練担任,而 常加品香納愛樂交贇方面,均由富有經驗
其洗;且係本港掛之於露。 一挥,也對震榮有極深刻演出中,會擦最佳
ĮKFEE • FEES BE-HAJDUK
SEKEJA
在此次音樂會中任勇 來一寘熱邅樂團担任時,亦有門出售。 揮黃飛然,陳供生,於年十年堂易下午四時至六 ,爲 女中音之一;男低潜行售票處公售。大會
樊麻 源,爲本港最出色之城及九舘上海商銀 ,有展公司港融各售
獲石利洛獎學 金門戰地也
SHE-NET EKSKAFULSKCK. |唱感動了数以千百計 阿爲榮蓝石利洛獎學金之卷大學生陳志雲再著利洛氏( 被嗆詐日由其险规陪同下,前往石利略洋行热·聚翠金,並接受
伍利劃規利費金
長筒
合金健:
where
we
AR-1
BIENA KUH
went after leaving our
hill I have no idea, though I tried
rhododendron-povered
to keep steadily a
little south of west. The going grew worse and worse;
sometimes we clambered up hills so steep that we had to
hold on to the vegetation with both hands to pull ourselves
up, and on the descents had to lower ourselves from branch
to branch. We need to meet every kind of thicket -
bamboo, rattan, atap, scrub, and thorn. The worst going of all consisted of a whole valley full of huge granite boulders half-covered with a treacherous layer of moss and roots, so that a false step was liable to land us in the stream below. Our packs seemed to get heavier and heavier, and the Tommy-guns nearly drove us demented. Though it was usually dry in the mornings, it rained steadily almost every afternoon and most of the night, so that we were never dry and the wet clothes rubbed away the skin in the most tender parts of our bodies, so that it was agony to start off again, in the morning. Though my boots were as good at the end of the crossing as at the beginning and i did not get a single blister on my feet, the others! footwear rotfed away and by the end of the journey had slmost completely disintegrated.
be soon developed a regular drill. The man who was in front did not carry a Tommy-gun, but cut a path so that ne could just pass through. The second man widened the track and marked the route more clearly by bending saplings down or blazing tree trunks, and the third man merely followed
checked the course with a compass, for, unless he were carefully watched, the leading man might turn throughĩ” half a drole in a few minutes without being in the least aware
of It as we could not see the sun and there were no › Landmarks save the interminable tree trunks on which to march. Every half-hour we changed places. Our hands, unused to the continuous hard work of using the parang (Malay jungle-knife) and softened by being always set, blistered terribly end our clothes as well as our hands and faces vere soon, incerăteer by thorns. No of us had deep wounde resulting from our lack of skill with the parang. We were so bitterly cold at night that we were only too glad to set off the moment it was light enough to travel (about pix o'clock) and by three in the afternoon we usually stopped, not only because we were too exhausted to continue Out Bo that we could reat before it became too cold to sleep. As soon as we stopped, e de-leeched" ourselves, washed away the clotted blood, and then made a lear shelter for the night. We quickly became adept at this. We used to make a low framework with a sloping roof and lash it firmly in place with vines, then, collecting the largest leaves we could find, we thatched them into the framework of the roof. We then made a huge pile of branches and leaves as a mattress, put on all our clothes, and covered ourselves with our ground-sheets, How we wished that we had brought both sweaters and blanketst When I had made out the list of atores, I had not even thought of including sweaters, as I had always beer. under the impression that Malaya was a hot country.
a leech is a blood-Sucking insect, so to leech means to pull off the Leaches from the body.
A. Explain the meaning of the words and phrases underlined,
8. Answer the questions in your own words using one
complete sentence for each answer.
1. How do we know the group of men thought their journey
was nearly over?:
2. Why was the worst part of the journey the Section through the valley with the granite boulders? Why did they have to check their course with compass while passing through the jungla?
4. What caused their hands to blister?
5. For what reason were they glad to set off at 6 a.t 6. Why did they stop at 3 p.m.?
7. Why had the men not taken sweaters and blanketa”
Write a summary of the final paragraph - beginning "We soon developed
in not more than 120 worde Write it in the 3rd person and remember to use your Own words wherever possible.
„the vol. of water flows through the pipe is
6 25 77
16 x 144
The vol, of the tank is ( 40 x 30 x 8) en. ft. The tins taken to fill up the tank is
(40 x 30 x 8)÷
EXERCISE &
6 x 25
800 13.0 hr.
e.c. of water at 4°C; weighs 1 gm; express the weight of 1 gall of water in lb, given that 1 cm equale 0.3937"; 1 cu.ft. = 6.228 gall; 1 lb= 0.4536kg
A car travelling at 55 mph overtook at 3 pm a man walking the same way at 4 mph, and met at 3:05 pm another man walking in the opposite direction at 43 mph." At what time will the two men mest?
3) At what times do the hands of a clock contain an
angle or 60° between 6 pm and 2 pm?
47 A train I travelling at 31 mph passes a milestone at
2 pm: train travelling the same way at 56 mph passea thie milestone at 2:25 pm. At what time wil. I over take X?