1994-2007 CE Math Paper 1 Questions
Chapter 9: Deductive Geometry in Circles
1.
[07 Q17]
(a)
In Figure 7(a), AC is the diameter of the semi-circle ABC with centre O. D is a point lying on
AC such that
HKDSE
MATH CP
PAPER 2
HONG KONG DIPLOMA OF
SECONDARY EDUCATION EXAMINATION
MATHEMATICS Compulsory Part
MOCK EXAM 2 (2014)
PAPER 2
Time allowed: 1 1 4 hours
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2.
3.
4.
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6.
Read carefully the instruc
HKDSE
MATH CP
PAPER 2
HONG KONG DIPLOMA OF
SECONDARY EDUCATION EXAMINATION
MATHEMATICS Compulsory Part
MOCK EXAM 1 (2014)
PAPER 2
Time allowed: 1 1 4 hours
1.
2.
3.
4.
5.
6.
Read carefully the instruc
Quadratic Equations
mc-TY-quadeqns-1
This unit is about the solution of quadratic equations. These take the form ax2 + bx + c = 0. We
will look at four methods: solution by factorisation, solution by
The sum of an innite
series
mc-TY-convergence-2009-1
In this unit we see how nite and innite series are obtained from nite and innite sequences.
We explain how the partial sums of an innite series for
The scalar product
mc-TY-scalarprod-2009-1
One of the ways in which two vectors can be combined is known as the scalar product. When
we calculate the scalar product of two vectors the result, as the n
Transposition of
formulae
mc-TY-transposition-2009-1
In mathematics, engineering and science, formulae are used to relate physical quantities to each
other. They provide rules so that if we know the v
The vector product
mc-TY-vectorprod-2009-1
One of the ways in which two vectors can be combined is known as the vector product. When
we calculate the vector product of two vectors the result, as the n
Triangle formulae
mc-TY-triangleformulae-2009-1
A common mathematical problem is to nd the angles or lengths of the sides of a triangle when
some, but not all of these quantities are known. It is also
Trigonometric
functions
mc-TY-trig-2009-1
The sine, cosine and tangent of an angle are all dened in terms of trigonometry, but they can
also be expressed as functions. In this unit we examine these fu
Trigonometric
Identities
mc-TY-trigids-2009-1
In this unit we are going to look at trigonometric identities and how to use them to solve
trigonometric equations.
In order to master the techniques expl
Trigonometric
equations
mc-TY-trigeqn-2009-1
In this unit we consider the solution of trigonometric equations. The strategy we adopt is to nd
one solution using knowledge of commonly occuring angles,
Trigonometrical ratios
in a right-angled
triangle
mc-TY-trigratios-2009-1
Knowledge of the trigonometrical ratios sine, cosine and tangent, is vital in very many elds of
engineering, mathematics and p
The geometry of a
circle
mc-TY-circles-2009-1
In this unit we nd the equation of a circle, when we are told its centre and its radius. There are
two dierent forms of the equation, and you should be ab
The gradient of a
straight line segment
mc-TY-gradstlnseg-2009-1
In this unit we nd the gradient of a straight line segment, and the relationships between the
gradients of parallel lines and of perpen
Trigonometric ratios
of an angle of any size
mc-TY-trigratiosanysize-2009-1
Knowledge of the trigonometrical ratios sine, cosine and tangent, is vital in very many elds of
engineering, mathematics and
Surds, and other roots
mc-TY-surds-2009-1
Roots and powers are closely related, but only some roots can be written as whole numbers.
Surds are roots which cannot be written in this way. Nevertheless,
Substitution
& Formulae
mc-subsandformulae-2009-1
In mathematics, engineering and science, formulae are used to relate physical quantities to each
other. They provide rules so that if we know the valu
Solving inequalities
mc-TY-inequalities-2009-1
Inequalities are mathematical expressions involving the symbols >, <, and . To solve an
inequality means to nd a range, or ranges, of values that an unkn
Tangents and normals
mc-TY-tannorm-2009-1
This unit explains how dierentiation can be used to calculate the equations of the tangent and
normal to a curve. The tangent is a straight line which just to
The addition formulae
mc-TY-addnformulae-2009-1
There are six so-called addition formulae often needed in the solution of trigonometric problems.
In this unit we start with one and derive a second fro
The Chain Rule
mc-TY-chain-2009-1
A special rule, the chain rule, exists for dierentiating a function of another function. This unit
illustrates this rule.
In order to master the techniques explained
The Product Rule
mc-TY-product-2009-1
A special rule, the product rule, exists for dierentiating products of two (or more) functions.
This unit illustrates this rule.
In order to master the techniques
The double angle
formulae
mc-TY-doubleangle-2009-1
This unit looks at trigonometric formulae known as the double angle formulae. They are called
this because they involve trigonometric functions of do
The Quotient Rule
mc-TY-quotient-2009-1
A special rule, the quotient rule, exists for dierentiating quotients of two functions. This unit
illustrates this rule.
In order to master the techniques expla
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HKDSE
MATH CP
PAPER 1
6.
The diagrams in this paper
are not necessarily drawn to
Candidate Number
scale.
HONG KONG DIPLOMA OF
SECONDARY EDUCATION EXAMINATION
7.
MA
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HKDSE
MATH CP
PAPER 1
6.
The diagrams in this paper
are not necessarily drawn to
Candidate Number
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HONG KONG DIPLOMA OF
SECONDARY EDUCATION EXAMINATION
7.
MA
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ChanwngsumectofafonnMa
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IfP =g+ 3, then R =
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A. 535. C. 3(53].
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3 L3
Angles and parallel lines
Angles of a triangle and a convex polygon
Similar triangles and congruent triangles
Special quadrilaterals
Pythagoras’ theorem
Mid—point theorem and intercept theorem
Triangl