SPHERE
CYLINDER
90-CE-MATHS l2
FORMULAS FOR REFERENCE
Surface area
Volume
Area of curved" surface 21rrh
Volume nrh
Area of curved surface 1rrl
Volume Elznrzh
Volume base area x height
.1.
Volume x base area x height
A-_._._.~-.u_._'_.,:_z_a_.~.s
SECTION
Eit
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There is no need to start each question in this seetion on a fresh page.
Geometry.r theorems need net be quoted when used.
1. If 3: -~ in: - 2 is disisihie by I k , where k is a constant. nd
the two values of it .
r {5 marks]
. I SECIIDN A Answer ALL que
HONG KONG EXAMINATIONS AUTHORITY
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MATHEMATICS (SYLLABUS A) PAPER I
8.30 am10.30 am (2 hours)
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Attempt ALL questions in Section A and any FIVE questions in
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MATHEMATICS (SYLLABUS B) PAPER I
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Attempt ALL questions in Section A and any FIVE questions in Sect
HONG KONG EXAMINATIONS AUTHORITY
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MATHEMATICS (SYLLABUS A) PAPER |
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Attempt ALL questions in Section A and any FIVE questions i
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' _ FORMULAS FOR REFERENCE
MATHEMATICS (SYLLABUS B) PAPER I
8.30 am10.30 am (2 hours)
This paper must be answered in English
Surface area
Volume
CYLINDER Area of curved
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MATHEMATICS (SVLLABUS A) PAPER |
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MATHEMATICS (SYLLABUS B) PAPER I
8.30 am10.30 am (2 hours)
This paper must be answered in English
FORMULAS FOR REFERENCE
x Surface area
Volume
CYLINDER Area o
HONG KONG EXAMINATIONS AUTHORITY
HONG KONG CERTIFICATE OF EDUCATION EXAMINATION 1988
lial 31%
MATHEMATICS PAPER I
8.30 am10.30 am (2 hours)
This paper must be answered in English
Attempt ALL questions in Section A and any FIVE questions in Section B.
Full
89-CE
MATHS
PAPER I
HONG KONG EXAMINATIONS AUTHORITY
HONG KONG CERTIFICATE OF EDUCATION EXAMINATION 1989
MATHEMATICS PAPER l
8.30 am-10.3O am (2 hours)
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Attempt ALL questions in Section A and any FIVE questions in
1
F.1 Mathematics Chapter Summary 7
Chapter 7
Area and Volume (I)
7.1 Areas of Simple Polygons
(a)
Useful formulae for areas of simple figures:
Polygon
Diagram
Triangle
Area
base height 1
bh
2
2
h
b
Square
length length = a2
a
length breadth = a b
b
Rect
1
F.1 Mathematics Chapter Summary 3
Chapter 3
Percentages (I)
3.1 Meaning of Percentage
(a)
%=
1
= 0.01
100
e.g. 15% of 80 = 15% 80 = 0.15(80) = 12
(b)
x% of A = x% A
(c)
The percentage of x is y =
y
100%
x
e.g. What percentage of 8 is 3?
It is
3
100% .
1
F.1 Mathematics Chapter Summary 1
Chapter 1
Directed Numbers
1.1 Directed Numbers
(a)
A number which carries a positive (+) sign or a negative () sign is called a directed number.
It shows both the magnitudeand the directionof a number.
Note : 0 is not
1
F.1 Mathematics Chapter Summary 2
Chapter 2
Use Algebra to Solve Problems (I)
2.1 Unknowns and Algebraic Expressions
(a)
In algebra, we use letters to represent numbers.
The number represented by a letter is called an unknown.
(b)
An algebra expression
1
F.1 Mathematics Chapter Summary 4
Chapter 4
Using Algebra to Solve Problems (II)
4.1 Formulas
A formula is an equality () that shows the relationship () between two or more variables.
e.g. the formula for the areaA of a trapeziumis given by
A
1
( a b) h
1
F.1 Mathematics Chapter Summary 5
Chapter 5
Estimation in Numbers and Measurement
5.1 Meaning of Estimation
When there is no calculating tools on hand, we can use certain methods to simplify calculations.
This is then followed by mental calculations to
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SECTION A (39 MARKS)
Answer ALL questions in this section.
There is no need to start each question on a fresh page.
FORMULAS FOR REFERENCE ' ' 1. In Figure 1, the cumulative
frequency polygon shows the
distribution of the marks of 80
students in a Mathema
CYLINDER
92-CE-MATHS l2
FORMULAS FOR REFERENCE
Surface area
Volume
Area of curved surface
V Volume
Area of curved surface
Volume
Volume
volume
2 ml!
irrh
ml
1
3
nrh
base area x height
1
3
x base area x height .
SECTION A (39 marks)
Answer ALL questions
SECTION A (39 marks)
Answer ALL qumtions in this section.
There is no need to start each question on a fresh page.
In questions 12, working steps are not required and you need to give the
answers only.
1. (a) What is the simple interest on $100 for 6 mont
CYLINDER
9+CE-MATHS l-2
FORMULAS FOR REFERENCE
Surface area
Volume
Area of curved surface
Volume -
Area of (curved surface
Volume
Volume
Volume
base area x height
% x base area X height
SECTION A (39 marks)
Answer ALL questions in this section.
There i
SPHERE
CYLINDER
PRISM
PYRAMID
95CE-MATHS I-2
FORMULAS FOR REFERENCE
Surface area
Volume
Area of curved Surface
Volume
Area of curved surface
Volume
Volume
Volume
lurzh
3
base area X height
% X base area x height
SECTION A (39 marks)
Answer ALL questions
SECTION A (51 marks)
Answer ALL questions in this section. _
There is no need to start each question on a fresh page.
FORMULAS FOR REFERENCE . ' , I 1.
Make r the subject of the formula h = a +r(1+ p2) .
i Ifh=8,a=6 andp=4,frndthevalueofr.
Surface are
Form 5
HKCEE 1980
Mathematics II
80
1.
A.
B.
C.
D.
E.
80
2.
C.
D.
E.
80
6.
1
1
= a + b and
= a b,
y
x
then x + y =
A.
B.
C.
4 p2
=
9q 2
1
4
9
9
4
4
( )2
9
9
( )2
4
D.
E.
80
7.
If x =
A.
B.
If n = 10 , then log10n =
C.
10a
10n
na
an
a
x 2 y 2
=
x 1 y 1
80-
Form 5
HKCEE 1981
Mathematics II
81
1.
(a 2b 3 ) 2
=
a 2b
A.
B.
C.
D.
E.
81
2.
a2b7
a2b5
a6b2
a6b6
a6b7
1
1
1
x=
+
+
1
x +1
x 1
x
x
C.
D.
x2 + 4x + 1
( x + 1)( x 1)
If x =
A.
B.
C.
D.
E.
bx + ay c
, then y =
a + by
ax + bx + c
a bx
ax + bx + c
a bx
ax +
Form 5
HKCEE 1982
Mathematics II
82
1.
A.
B.
C.
D.
E.
82
2.
C.
D.
E.
82
5.
A.
3x
B.
C.
23x
22x
2x
8
1
D.
E.
B.
C.
D.
E.
3a + b
a 2b
3a 2 b
a 2b
3b a 2
a 2b
3a 2b
b 3a 2
3a 2b
3b a 2
2
1
1 2 , then y =
If x = +
yz
82-CE-MATHS II
82
6.
1
(10P a)
k
Pa
log10
Form 5
HKCEE 1983
Mathematics II
83
1.
A.
1
( x 2)( x 3)
1
( x + 2)( x + 3)
1
( x + 2)( x 3)
1
( x 2)( x + 3)
x 27
( x 2)( x + 3)( x 3)
B.
C.
D.
E.
83
2.
83
4.
B.
C.
D.
E.
1
1
+2
2
a
b
1
1
+
+
2
a
ab
1
1
+
2
a
ab
a2 ab + b2
a2 + ab + b2
y2
If x =
A.
B.
C.