Friday, October 25, 2019
2019 GCE O-Level Additional Mathematics (4047) Paper 2
Dear Visitors to this blog,
Below are the suggestions compiled based on analysis of questions from GCE O-Level Additional Mathematics (4047) Paper 1 that was tested on Friday, 25 Oct 2019.
To help you focus your revision for Paper 2 to be tested on Tuesday, 29 Oct 2019, I am going to start by providing you with a list of topics that you can consider NOT to revise anymore.
Topics that you can LEAVE OUT for paper 2 are:
Next up will be the LIKELY TOPICS to be tested:
All the best to you.
Warmest Regards
Mr Ng Song Seng
Below are the suggestions compiled based on analysis of questions from GCE O-Level Additional Mathematics (4047) Paper 1 that was tested on Friday, 25 Oct 2019.
To help you focus your revision for Paper 2 to be tested on Tuesday, 29 Oct 2019, I am going to start by providing you with a list of topics that you can consider NOT to revise anymore.
Topics that you can LEAVE OUT for paper 2 are:
Topic No.
|
Topic
|
Content
|
Algebra
|
||
A1
|
Equations
and inequalities
|
· There will be no
more standalone question related to Discriminant of a quadratic equation. However,
the discriminant concept is still relevant in topic A3 which has yet to be
tested
|
A2
|
Indices
and surds
|
· Similarly, there
will also be no more standalone question on indices and surds on its own.
However, manipulation of surd may still be needed in other topics such as G1
Trigonometry.
|
A4
|
Binomial
Expansions
|
· NO MORE questions
on Binomial Theorem
|
Geometry
|
||
G1
|
Trigonometric
functions
|
· NO MORE finding
amplitude and period, and sketching of sine and cosine curves
|
G3
|
Proofs
in plane geometry
|
· NO MORE Proofs
in plane geometry
|
Calculus
|
||
C1
|
Differentiation
and Integration
|
· NO MORE rate of
change
· NO MORE
Kinematics (displacement, velocity, acceleration)
|
Next up will be the LIKELY TOPICS to be tested:
Topic No.
|
Topic
|
Content
|
Algebra
|
||
A1
|
Equations
and inequalities
|
· Relations between
the roots and coefficients of a quadratic equation (α + β, αβ)
|
A3
|
Polynomials
and Partial Fractions
|
· Multiplication and
division of polynomials
· Use of remainder
and factor theorems
· Factorisation of
polynomial
· Use of
o
a3 + b3 = (a
+ b)(a2 – ab + b2)
o
a3 – b3 = (a
– b)(a2 + ab + b2)
· Solving cubic
equations
· Partial
fractions
|
A5
|
Power,
Exponential, Logarithmic, and Modulus functions
|
· Power functions y
= axn where n is a simple rational number, and their
graphs
· Exponential and
logarithmic functions ax, ex, loga
x, ln x and their graphs, including
o
laws of lagarithms
o
equivalence of y = ax and x
= loga y
o
change of base of logarithms
· Modulus
functions and their graphs
· Solving simple
equations involving exponential, logarithmic and modulus functions
|
Geometry and
Trigonometry
|
||
G1
|
Trigonometric
functions, identities and equations
|
· Principal values
of sin–1 x, cos–1 x, tan–1 x
· Exact values of
trigonometric functions for special angles
· Use of
o
sin2 A + cos2 A
= 1, sec2 A = 1 + tan2 A, cosec2
A = 1 + cot2 A
o
the expansion of sin (A ± B), cos (A
± B), tan (A ± B)
o
the formulae for sin 2A, cos 2A,
tan 2A
o
the expression for a cos q + b sin q in the form
R
cos (q ± α) or R sin (q ± α)
· Simplification of
trigonometric expressions
· Solution of
simple trigonometric equations in a given interval
· Proofs of simple
trigonometric identities
|
G2
|
Coordinate
geometry in two dimensions
|
· Graphs of
parabolas with equations in the form y2 = kx
· Coordinate geometry
of circles in
o
Standard form
o
General form
· Transformation of
given relationships, including y = axn and
y
= kbx, to linear form to determine the unknown constants
from a straight line graph
|
Calculus
|
||
C1
|
Differentiation
and integration
|
· Increasing and
decreasing function
· Even though
there was a question on stationary points and determine their nature in paper
1, there may still be one question on stationary value related question.
Likely to be linked to mensuration and to maximise or minimise the
measurement.
· Applying
differentiation to gradients, tangents and normal, maxima and minima problems
(NO MORE rate of change)
· Integration as
the reverse of differentiation (usually to integrate an expression after
differentiating a related expression)
· Definite integral
as area under a curve
· Evaluation of
definite integrals
· Finding the area
of a region bounded by a curve and lines (excluding area of region between
two curves)
· NO MORE Kinematics
|
All the best to you.
Warmest Regards
Mr Ng Song Seng