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:


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)(a2ab + b2)
o   a3b3 = (ab)(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

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