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D463英文中學會考試題預習專欄
數學科
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日八十月一十年七六九一层公年六十五國民華中
官校校長姓名一覽
席间立小學
·西大朝官立小學
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赤湖官立小學
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長調動者十四名 本學年中學校長調動者八名 小學校
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·各校校長姓名如下(姓名之上有「上 譯做始下。本季年中奉校民調熱者共有八 校長名表,爲便利有關人士查詢,本雄特
〔下〕莫胡光荣。
,陳淑殺。.
·荷里活 矮小準,如:
江南官立小學:(上)與撥成,「下。
(下)麗止
安馬會官立小學:黎宇草英,(下) 韓地街。 :資粱道官立小學:(上)轫蔡馨綳,基校- 康敬將。 TRANSA-(4)-(-)
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尼土雕。濫頂溪魚味上尼李賜贊達藍
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MATHEMATICS (5)
LESSON 5: MISCELLANEOUS PROBLEMS II
The following are the examples on speeds, average,;
mixture and rate of working etc.
EXAMPLE 1: A motorist averagen 24 mph for a journey of
120 mi. Ir ne averages 25 mph for the first
3 br, find his average speed for the rest of the way.
SOLUTION: The length of the whole Journey
the av, speed ne
·
time taken to cover the journey
120. mi,
2h ampl
120 M
20
- 5 br**
The distance covered in 3 ar at 25 mph =(25 mph)(3 hr)
-75 and,
Hence, the length of the remainder part= 120m1 - 17
= 45 mi.
BLA
and,the time allowed for this part (5 3)hr 2 Ar.
the av. speed for the remainder
KYAMPEZ 2: $150 are paid for a 32 days, B in 20 day
part # --
22 mph. ah which i của cô in
B and C together in 12 days, and D in 24 day. A, B, C, D work te- gether,how much money should each received ? SOLUTION: In day, B and C can do of the work
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招迹,却文侶涼英。本學外份。銀六雷長糀班
英文中學會考試題預習專欄
B can do by himself
of the work.
C
ที่ส
ท
(#
i) of work of the wo?
1968
英文科
(五)
English
ỤC can finish the work in 30 days.
In 1 day, A can do by himself -- of the work
The ratio A:B:C:D
15 + 244 16
Hence, for the task; A received
D
#
1 n
H
20
14
B
C
П
D
n
1
H
15:24:16:20
of $150-330.
of $150-2
45 of $150-332 or $150 - 40
EXAMPLE 3: The normal work in an office was done by A,
B, C each working 6 days a week. A did 42% of the work and B did 40% of it. In a certain. week, the work was suddenly double; C did no more than usual, A increased his daily amount of work by 150% for 4 days sad then fell ill and could do no more. By how much per cent die
B have to increase his week's work to get marks everything done 7
SOLUTION: Suppose that the normal
ball, A did 42% of 600 B n་LZ or 600
Then
work is 600 (1.e 6x109
252 par wask. (6 d.). 240 n.
. * 18% of 600 108
the work was doubled, 1.e. 1200
€ did 108 per week (without any change)
A I did (1 - 150%) of 252=630 per week for 4days his week, A did only of 630=120 of the work
108 of the work
B`did 1200–(420+108)=672 of the work Rence B increased his work by 672 - 240-432
the that B have to increase his week's work
246 – 100% - 180%
TXAMPLE
In what ratio must tes costing 28 74d por be mixed with tea costing 38 3d per lb. that a profit of 20% is made by selling the mixture at 38 6d par lb.
SOLUTION: Let be the tea coats at 28 740 per lo
and T
38 64 -(1 + 201)
= 20 1ld per lb.
n
3s 3d per lb
3 6d with a profit
of 201.
The gain of T, in Tw is÷2» lia-28 74d=34d par 1b
* 1085
3a 3d -28 Ulldwijd per Ib The ratio of toas=T, 1T, =40:3}4=8_17_
EXAMPLE 5: Tares boys worked out. 150 examples; A did 14
out of 15 right, B 9 out of 10 right, C 4 out of 5 right. What is the least number that were done right by all of them ?
SOLUTION
A did 14 out of 15 right;
9"
10 5.
A did 1 out of 15 wron
B1" 10
the LiCl
A did
1 of 15, 10, & 5 is 30,
out of 30 wrong
糠
Hence, in 150 exemples, * did 10: wrong?.
B15 C30
The greatest no that were done wrong by all is
10+ 15 +30= 55
the least no, that were done right by all in
150 - 55-95%
HINTS & ANSWERS TO E.
1 c.o. of water weighs 1 ge
(0.3937")
1 cu. in. of water weighs 1 gm/ 0.39373
rous,
6.228 gall
(12/0.3937)3
•
· MRS. · BENNETT
Answers bopaper LV
to keep steadily a little south or west to maintain a course a few compass degrees to the south of west the going grew worse and worse - the certain over when they rad walk became increasingly difficult. thicket - number of shrubs or trees growing close together.
demented madi
agony - extremely painful,
disintegrated - fallen to pieces.
a regular drill - a routine,
blazing cutting for the purpose of leaving a sign. interminable - endless.
lacerated
adept
**
torn; slashed.:
skillful.
lash- tie.
thatched - made a roof of been under the impression
B. 1. The writer states that
take th
them another ves) would have turned back
im it would
arney they”
2. This was the worst part of the journey because the rocks were partly hidden by a very slippery mos9 making it difficult to walk and if they slipped they would fall into the stream below,
3. They checked the course By compass becAUSO, VICIO
ere no distinguishable land marks, and the sun was hidden by the dense foliage so it was very easy for the leader to change direction completely. Their hands blistered because they were always wel and the men were unused to using the parang, They were glad to set off at 6 am, because it go terribly cold at light they could not sleep
6. They stopped at 3 p.a. because they were exhauste
an also they wanted to rest before it grew too cold to sleep.
7. The writer had not included sweaters because he
thought Malays was a
Precis: The three men walking in the jungle followed a routine taking it in turns to cut a passage through the undergrowth, widen and mark it, and check their direction by compass. Their hands blistered severely from using the parang from which two of them suffered wounds; their clothes and bare flesh were slashed by thorns. They started at daybreak because the nights were too cold to sleep and stopped at 3.p.m. from fatigue and a desire to rest before the cold prevented sleep. On stopping they pulled off leeches, washed and made a leaf-shelter. They slept in all their clothes upon a mattress of branches and leaves with groundsheets over them, bitterly regretting not bringing both Sweaters and blankets,
120 words.
Paper
Puntuate the following passage:
1 would like if 1 mây smiley ventured to write a small obituary for muss brimley would you have any objection stelle would have liked that if you are hue too upset perhaps 1 could call round tomorrow for one or two details certainly eleven oclock it will be a pleasure johnson replied almost pertly and they walked together to the churchyard gate.
B. Fill in suitable prepositions\
1. I stood
sight.
2. He sat
3.
the background out
the table and banged
Tom. eye with you.
the way home I ran 4. I do not see eye 5. He was
were going
it.]
a friend of his. He told me they]
>
6. I shall not leave
7. They accused him
8. He is a man
a show.
you. reglecting his duty, whom you can confide,
9. He is too parsimonious to part 10. This knife is similar
different
his money. that one. It is
that one,
mine. Yours is
being inattentive,
assuring him
11. That pen is inferior
better
mine.
12. The teacher blamed me
. I succeeded
innocence,
the verbs in brackets to the correct tense use simple past or present, continuous past or present, 1. 1
(meet) hum
(walk) along the road when - I
2. He came because I
те
Comein),
He always evenings.
8. He 9. I
10. We
(asky name GO, (see him three months"ago, (have) my dinner when he
(get up) at 7 a.m. every day last
(recognize) me immediately he saw
(go) for a walk in the
goj to visit ner this armoria
(wint) to go abroad next year,
(talk) about you when you arrived,
D. Explain the sense of the verbs take and pet
1. I went to the police station and the officer Look
down my name and address.
The landlady said she did not often take in married couples.
He said he had not taken into account the weight of the extra, luggage,
4. he took the idea into his head and no one comu
disuade him."-
The actor was very good at taking-off celebrit: The speaker got to his feet as the applause -subsided.
7. She got off the bus outside the City Hall
8. The prisoner was lucky to get off with a light
sentence.
9. The teacher said the children were getting out
hand.
10. As the storm approached the wind got up.
E. Give one word for the following.
1. A strong desire to return home (home sickness)
2. A foresaken or neglected child, living on the
streets
A false name taken by a person. Close at hand in sense of timel
5. Lasting for a short time,
6. Easily broken.
7. The framework of a car.
8. To compensate for loss or damage.
9. Able to adapt oneself to many situations.
10. A leather travelling-bag carried in the hand.)
5 min, the let man walked 4 mi x
our travelled: 55 ml x 1
ANS-10.016
j
At 3:05 pm, the distance between two man 18 4,2m-ma
In 1hr, the distance covered by either:(4 +44)=8&mi The 1
two men can shorten the distance by Bimi in 1 hr
1.8. 41 mi
by 30 min
ANS 3:35 pm)
The hands contains an angle of 60° men the distance between the two tips is 10 minite-spaces.
At
6 pm,
the tip of minute-hand la 30 minute-spaces apart from the tip of the hour-hand: therefore it will
be 10 minute-spaces between the tips when it has gained 20 or 40 minute-spaces on the tip,
the min-hand gains 55min-spaces in 60 min. (1) the min-hand gains 20 min-spaces in 21- min (11)
43-7 ain
4) When I passes the milestone, I is 31mi x-
In 1 hr, I goes 56 - 3125m1 faster than A In order to catch my needs ihr z
EXERCISE 5
shoad
* 31 min. ANS 2:56 pm
1) A man rides from his house to a town at 10 mph and returns home at 15 mph. Find his average speed for the double Journey
A grocer miss some tea at la bd per lb with one-
sixth of that amount at ls per lb., and sells the mixture at 1s 6d per lb.Find his gain per cent. A box when empty weighs 10 lb. It will hold 50 lb er clathes or 180 lb of books, What will it weigh when packed full of clothes and books if (1) 20% of the volume is occupied by boots and the rest by clothes (11) 20% of the weight of the contents is made up by
books and the rest by clothes.
A certain alloy contains 6 parts by weight of a metal" and 5 parts by weight of a metal B. Another alloy contains 7 parts by weight of A and 13 parts by woigni of B. If these alloys are melted and mixed together how many pounds of the ascend alles must be mixed wit 11 lb of the first alloy to make a mixture which con- tains 40% of A ?
5) At a modern school, yus of the pupile take mathematics 85% of them take physics, and 65% of then take chez- fstry. What is the least I that learn all the