EFERENCE LIBRARY
19 MAY 1967
質一給張五第2
1一十月四年未丁爆買
WAH KIU YAT PO
City
英中會考數學一試題解答
育教僑華
MATHEMATICS
PROPOSED SOLUTIONS & ANSWERS To Paper!
(Mathematics Syllabus A. Arithmetic & Trigonometry)
Section A
Anton
the spaces provided The working are shown here
The candidate put only the ve the question paper -
wis for reference
30+76 + 146-73.
24-4-4-20676
**
英文中學F.] 金繼賢
英算科先脩專欄
逢星期三五刋出
!
第四講
19-5=1967
CHAPTER TWO
ADSIMION
"*" called "plus". means "add"}
Example; i
Find the sum of 328. 264 and 891.)
•
Solution: The required sum
#328+264+891 =1,483
Answer: The required sum is 1,483.
Example 2
There are 26 boys and 19 girls in a class,
日九十月五年七六九一曆公年六十五國民中
is invested
Then, the amount at the end of the 1styr. « Hence, the principal at the beginning of 2nd,
compound interest for the 214
yr.
thá
& IF tan A-
B
from the shown fig.
Sin A
\\ \n*A = (7) = 124
la
=3% of $1OS
ANS
by rymagstar,
J12*+ 5 = $124
weck the weeks
earns LTM 73 74.
£26 153 24
10
32 8
In 12 weeks, the ma
€ 133: 155/70d eams £160 lis
2 6 4
89 1
3. The length of one
square
2:
1483
NOTE: is this
can also be solved by the formula,
AND 5
*Sce' A = (+ tau'A ̄
+(-)
144
Fee A = ± 1
CAL BOT
tan A =
Sin A
Sin A
B
Cal A
ሃረ
Sặn A = { //1⁄2){ *42) = ± 1⁄2
***A - 724
.
Luis The
values of tan A.
either t've or -'We depend on what quadrant
SorʻA is always eve
sin A und Los A
Але
that sogle A bên.
Yet
The ratio of their
101
2.785 -2-217"
No
fog
guare
4708
5
0.6990
How
The ratio of their The area of the
(2.7834 2:31})(2·783 – 2-¿jr>`
0.566
IT: 75-28
•2 of that of the 2nd square
DEA
5 X 0.566.
0.4518 12-034±10.6778
7. 7340
2108
4
HK $576 13 exchanged for US$1 HK$1 UK $1000
us $576
US $576x1000.
HC
emainde
become Each daughter received
~US $173.6) (to the mcated,
cent > wife
If of his money) of his money
mont
his money
$943
20.594 ('com. to 3 fiy
The distance the car hvelled for 35 min. at so mph = 30mi ̧ |
# 15 min
A
- 35 m2
-
I the total distance the car travelled in so min. 13 267 mi „.. Av speed for the whole "journey
Total dis Muy cOKIA
To had time taken
26mi 50 min.
•315 mph.
many children are there in the clana?
SOLUTION:
The required mumber of children
=26+19 =45
-
SWER: There are 45 children in the class.
Jack has 67 stamps and Divid has 19 more stampa. than'
Jack How many stamps have they,
SOLUTION:
have
The required number or stamps which they]
=167+57+19) =153
ANSWERT They have 153 stamps.
Example 4
Find the total of seven thousand three hundred and
twenty-four and five hundred and ninety-eigh
SOLUTION: The required sum
7324+598
ANSWER:
7922
The required total is 7922.
Jane 1s 15 years old.
Her nother 19 26 years olde
than Jane. Bow old is Jame's mother
SOLUTION: The age os Jane's mother
*(15+26) - 41 years old.
ANSWER:
Jane's mother is 41 years ol
produces 36 plastic toys. produce
36140 plastic
36x40x8-3
/24 50 plastic toy
A, = f(a+b+c) = /
Sun (36)
the resal
special case) directly on the
The moral roof student in the school is
onginal ratio of bays to girls = 413
enginal no of boys → 4 of 346 =
girls 39 +46=234 of girls be comes 234 +6 – ratio of boys to yirla
AOB
O'NAL
from TO AD
TRARIES
boys should be = X 240 = 360
use in the no. of bays = 360 -312
ccnt of the circle
then – AON=3 472
ANZOR Sa AON.
20.597815 B=RAN = 11756
length of each side is
Cosec
Cosec: 15.0
Cosec Cião
Cosec 30
30)
MPLE 6
younger brothers, sider sisters, my parents,
grandfather and & gervant.
are there 19 our family?
SOLUTION
How many people
of which a«b«c^
then c=124b.
shows that sets (a,b,c) identical to the
KONG PUBLIC
The required number os people in our family
{+1+1 (myself) 12
ANSWER:
There are 12 people in our family!
EXAMPLE 7
Fill in themissing figures:
SOLUTION: 7
062
CAMPLE 8
128.0 6, 2
Ở chuet 7 chun
Find the sum of 2 cheang 5 chek
and i chsung 6 chuên.
SOLUTION: The required sum
2 cheung 5 chek 8 chek 7 chuen
*7 choung 4 chek 3 chuen
ANSWER
The required sun is
aheung 4 chek 3 chuer
EXERCISE 2
choing 6 chuen]
oheung chek chuon
Long and 69 yards 2 ft. 6 in. wide?!
5) Find the sum of 225 vas. 2 ft. 8 in..
1 mi 372 yds. 3 in. and 1,405 yds. 1 in. (6) Jack has rirty-rive centa andMark has
sixty-five cents. How much money do they
have?,
A rectangle measures 15 In. by 10 in.
rind its perimeter.
(8) On a table, there are thirty-three rea
pencils, and two dozen blue pencils.
On another table, there are sixty-eight
How many pehells and six dozen pens,
How many pencils pencils are there?
and-pena are there?!
(8)
0118.
peng
and pencils
Nor
brown forges and forty grey horses in
field. Boy many horses were there
iltozebhana
(12) & train left do a quarter
in the afternoon. If the
took
2 hours 36 minutes, at what time diuj
zna train arrive?
(13) A train, due at fifteen past two in the morning, was 37 minutes late. When 4ýd
t'arriver
14) Mr. chan 18 46 years old, he hopes to en stoo working seventeen years from now. How old will he be then?
(15) Find the sum of £3 28: 60.. 2 guineag
49 and 128. 9d.
(16) Pill in the missing figurees)
(1)
Find the sum of 126, 99 and 63.
(2) Add together two hundred and thirty-four)
ninety-nine and seven hundred and two.
There are eleven children in the first.
twenty-three in the second room
and fourteen in thethird room. Z. How many
anildren are there in these three (4) What is the distance all round e
rectangular playground, 101 yards 2 ft.
(9)
Find the total cost of
((6)
ball at 4s. 6d. car at 10s, 4d. ana
a drun at 5s. 84.
(10) John has a bookcase with two anGLYOJ, On one shelf, he has two dozen books. On the other, be baa 74 books. How many banks are there in the bookcasef
111). There were twenty-five white horses,
thirty-one black horsea, three dozen.
(9)
(a).
1679
302 8
1904
11:08
171 687+763+2867
(18) 427-8167+2048
(19) 536+789+2996
(20)7-77+777+7777
#horses.!
(14).....years old.