日四十月二年午丙磨签
WAH KIU YAT PO
英中題試題預習專欄
Example 6
Solve 52-17+ 21-7 - 31-14+ 51 14
數學科 (十一) ·歐陽路文 ·
Solution Divide first all numerators resp; by the ir denomination
=(3+x/5)+(5+x'
Mathematics (11)
LESSON GA PERCENTAGE( [rofit & Loss Ta).
SOLUTION of EQUATIONS
§ A, Percentage: Profit & Loss por cent,
Example 1. A is 15% heavier than 6, and C is 15% lighter than B; by how much A heavier than € 3
per
cent is
Solution Lot 83 waight be 100 units of wt.
Then A weighs (1+ 15% 30f 100=115 unike.
Examples:
Saluthèn:
.
(1-15%) of 1oom 25 units.
-A is heavier than C by ·
J15-85
85
30-35,77
: A tradesman maiks on article at 40% above price, but give a discount of 15. in the £ on the marked price. What is his gain per cent? He also offers *i of the articles for the price of 20, allow. ing the same discount. Find his gain per cent in each case.
Suppose that the C.P. of the article in £100 (i). Then, the marked price =li+40%)fx100=(140
the selling price =()
He gains £133 - £100 =£33
His gain %
--33%
2100
sir If the c. P. per article is £100
Then the S. P
1133
The C.P. of 21 articles =£100×21=13100 ~~~£133×20=£2660
S. P. ... 20
•
He gains 1266 0 - 1 2 100 –£56a ̧
His gain %=
=26号2
Example 3. On a journey across New York a tan averages 20mph. for 70% of the distance, 35 mph for 10% of it, and 8 mph for the
"
(x-4)+(x = 8)
(x-8)(x-4)
*** 12x + 32
4
(x-7)+(x+5)
€2.50 - 7) į
24-12
2-12 +35
1. (2x-12)[15 123 + 35 ) - ( x2 - 12×+33)} 0,
HINTS IF ANS To Ex. 58
P
F19 1
A
Draw EN II PQ
2 x -
X=
M
Fig 2
Fig 3
then PN= QC (15sos a) and
PN = PB ( intercept theczem} Hence AB=AP..
Q C
12, In fig 2
}
NM. ND
AB+ AC = AP+(QC+ AC)=2AP.
let N. be the mid-pt of AC Join
Since N is the mid-pt of the hypotenuse
of it a ADC, then ND-LAC
And
M. N are mid-pts of CB, CA resp.
MNI/AB
< NMB= 48, but NDC = _C = «NMD+AMIND
«NMD = _MND
3, draw KH/BC ( to cut AY AT H).
HK-ŹCY (intercept thetrem), <XAB=44
< XKH=支H..
remainder · Find the average speed for the 5, By drawing a
whole journey.
Solution Suppose that the length of distance a roo má
Then, the distance at 20mph —70% of 1000-70M.
To m
The time taken at 20mph = 20 mph.
Bin X, and __Cosa,
<KHX=)He=d.
KX=KH=支 cr..
By Pythagoras. = √¢p"-g's Kepqs**
ANS
ANS,
日丑十月三年六六九一层公年五十五國民革中
盘和向並會人士保證- 該項計到並沒有發
得到良好效果。神父SE,現時可以六六6
【 雜問必須加以研究,否則不會變,鑑話:八三
於通过計圖得這裡風異套误,對屈一項複灌—黃大仙花織學 在交通失事案件中
默,且快將完成。
——元朗區泰安
兒童傷亡率甚高
交通安全會主席靳神甫透露·
心如就。 悠然剄廻具良好禮貌,無拦學生將應到器,C四六。 ,且有-
足傘架,不用久候之苦,可及學校,電話→0 均有吼位,其內不在站立,上落十分安 食坑口濃滑水灣中心 服務之優點,毌服務運到, 一證號,张戈ll进 此外,靳神父又再次表示:學魔巴士 校(錦田局信箱中 紅磡區:中
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學童巴士計劃
路段由
短期内可實現
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條階
|在本港設立學寬巴士服務,乃爲一項急,
,亦係市民大衆所期望之大事。(南)
(#5) DEX(ES) •
四二九
此担承更大責任 在幼童時代卽開始,學校對 交通安全常識之灌輸
䒑. FE角寜I活 |蹬話 - 六四二九二三。 直落三樓二二一案,兒童佔一百八十七名航爾對此方面之注塞 家長教師會 ,黃傑——馬頭酒菜島,計七百九十名,通安全至斯,以引超躉猜第一小學
|激及青年學生之道路
。此外:學校又何在
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由於兒童在交通 各机酶物寫信,韩青树獠)香剂
,將可望在短期得以實現 「爲大衆所想盼之在本牌設立學院巴士服務
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一
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到
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徵詢交通安全會 當聽的强調,主人會 開始,武將絕再推廣至岛方面,靳神新源息。 斯離心昨日表示;上頂點帆並棄
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下列佈人賣安: 許眞——林染治理,
有因
銀碼養校 交級,開光約
揹洽妫絡與答由意,螢家
施谷,學各恩席榮長師七
"
25 mph.
**
8 mph.
10% of 100m to mi, 20% of 100 m
方士作 進泚绝安亦
Gicas 1.5. leo + shp) ( sin & + Co≤ 0) =
(Sin 8+ Cos.0)
南屯用 交安全保障。燕辦他較深
Sin 8 cos σ
SM & CD38
25mph =
Bmph.-
-
-
sing)
Sino- !
The total time taken to cover 100 mi. is
(31 + 3 + 22 ) hr. — 6 // he
Sinb
−1)( 1+Sin®)
Six B)CH secos,
The average speedm6.
-15 mph..
(14 seco
§. B, Solution of Equations (1)
Example 4. Solve 3h+ķi hk IT-
2h-3k=-qhk povlastneg (3)
Eqcia + hk + + +-11-
Let A=4 and 8-%, then we have
imilarly,,ag (2)
3A+ 48
21-36== becomes 944 128–33 BA-
(62
A=1
Subet. A=1
A-U
(B=-2
3 (1) +48= ||
3x
Example 5 Solve x+3 2(X-2)
Solution: ro (x-2)=3x(x+3)
102
- 20
- 30 -30
-
。
3X-X-10
x = 2 or -1/
We should reject the case
the-denominator.
15
1=z which makes
豆素
=0jwR.S.
Sintex Cos of
Cos-oc
+☆ Sind cos x)
Sik”ot + Colfax + 2 SİKO GOSTI
Sinol cas ot{
(sln*od + Costex )&
Sinox Cor of
= seca_cocα=R.$;
(d) ́£.§. = Sin3d (1-sinf) – six f( 1 − sin3d)"
sina sin's - sinpß + sind sinß
Sinto-
a= laß
fan a cotß
Two partners invest £2000 and £1200 resp, ie
a business and agree that 20% of the annuar
...
profit is to be divided equally between them, and the remainder in proportion to the capital | invested. The profit for the first year £260; 1
how
will this be shared between them】
4, B ̄is 20% heavier than A, and C is 25% heavier than B; by how much per cent is C heavier, than 113
[Exercise GA
In the course of a year of my capital increases by 3% $ of it decreases by 4%, and the rest, increases by 69%, What is the percentage increase on the whole &
A sold a
B Sold it to
to B'at a profit of 40%.
"a protit of-60%-C-so loss of 25%. If D paid £137 more than it cost A, find the profit, A
made
·5,- My insurance premium is 8 guineas a year
for my car which is valued at £350, what' percentage is premium of the value.
Solve the following simultaneous equationer aly +6x=3xy
& Solve (a) -2 2-9
ofax.
Jx+m
(b) 2x-3 - 2-3=23