Thursday, October 22, 2026
Tips for 2026 GCE O-Level Mathematics Paper 2 (4052/02)
Dear Visitors to this blog,
Below are the suggestions compiled based on analysis of questions from GCE O-Level Mathematics (4052/01) Paper 1 that was tested on Wednesday, 21 Oct 2026.
You may want to focus on the areas/topics listed in the table below for your preparation for Paper 2.
|
S/No |
Topic |
Remarks |
|
1 |
Plot and draw
graph |
Gradient ·
Finding gradient and state its unit and what
gradient represents ·
Find equation/gradient/y-intercept of tangent
given tangent passes through a particular point ·
Find point on graph with a particular gradient ·
Find the equation/y-intercept of tangent with
a particular gradient ·
Given equation of tangent is y = Ax
+ B, find the value of B given the value of A or find
the possible values of A given the value of B Adding a
straight line ·
Solving equation/inequality using straight
line added to curve ·
Finding equation whose solutions are x-coordinates
of points of intersection between a line added to the main curve |
|
2 |
Matrices |
·
The usual stuff but be prepared to be asked to
obtain amount using purely matrix multiplications |
|
3 |
Trigonometry |
·
Sine and cosine rule ·
Area of triangle = 0.5ab sin C ·
Angle of elevation/depression ·
Largest angle of elevation (related to
shortest distance) or even range of angles of elevation ·
Can also be 3-D object like a box/prism |
|
4 |
Mensuration |
·
Circular measure that involves radian measure
(arc length, area of sector/segment) ·
Conversion of units: radians to degrees and
vice-versa, cm2 to m2 and vice-versa, cm3 to
m3 and vice-versa, m3 to litres ·
Volume and surface area of composite solid
that makes up of Pyramid/Sphere/Hemisphere/Cylinder |
|
5 |
Statistics |
Analysis and
interpretation of ·
Cumulative frequency curve (most likely if any
statistics question) ·
Stem & Leaf (more likely) ·
Dot diagram (less likely) ·
Line graph (more for misleading feature) ·
Pie chart (find angle) Misinterpretation of data ·
Explain why a statistical diagram leads to
misinterpretation of data |
|
6 |
Algebra |
·
Mixture ·
Likely to be complete square, making subject
of a formula ·
Solving quadratic equation using formula (can be
a word problem or a question on its on) |
|
7 |
Vectors |
·
Magnitude of vector ·
Parallel vectors (scalar multiple) ·
Determine whether 3 points are collinear using
vectors ·
Ratios of areas of triangles/quadrilateral |
|
7 |
Real world
context problem |
·
Can be from any topic |
|
8 |
Others |
·
Number pattern ·
Angle properties of polygons ·
Financial transactions: Simple/Compound
interest, hire purchase, taxation, profit/loss/discount, etc. |
Tuesday, October 28, 2025
Tips for 2025 GCE O-Level Additional Mathematics Paper 2 (4049/02)
Dear Visitors to this blog,
Below are the suggestions compiled based on analysis of
questions from GCE O-Level Additional Mathematics (4049/01) Paper 1 that was
tested on Monday, 27 Oct 2025.
The document that is used for this post is the syllabus
document extracted from
To help you be more focused in your revision, please refer
to the points under the content column that are boxed up in red (using red rectangle) and read the remarks in red on
the right side of each topic. I have also included remarks in blue to indicate question type that will
no longer be tested.
Thursday, October 23, 2025
Tips for 2025 GCE O-Level Mathematics (4052) Paper 2
Saturday, October 26, 2024
Tips for 2024 GCE O-Level Additional Mathematics Paper 2 (4049/02)
Dear Visitors to this blog,
Below are the suggestions compiled based on analysis of questions from GCE O-Level Additional Mathematics (4049/01) Paper 1 that was tested on Friday, 25 Oct 2024.
The document that is used for this post is the syllabus document extracted from
To help you be more focused in your revision, please refer to the points under the content column that are boxed up in red (using red rectangle) and read the remarks in red on the right side of each topic. I have also included remarks in blue to indicate question type that will no longer be tested.
All the best to you.
Warmest Regards,
Mr Ng Song Seng
Saturday, October 28, 2023
Tips for 2023 GCE O-Level Additional Mathematics Paper 2 (4049/02)
Dear Visitors to this blog,
Below
are the suggestions compiled based on analysis of questions from GCE O-Level
Additional Mathematics (4049/01) Paper 1 that was tested on Friday, 27 Oct 2023.
I have decided
to change the format this year to focus more on the likely questions for the
various topics to be tested for paper 2 on Monday, 30 Oct 2023.
The
document that is used for this post is the syllabus document extracted from
To help you be more focused in your revision, please refer to the points under the content column that are boxed up in red (using red rectangle) and read the remarks in red on the right side of each topic.
Thursday, October 27, 2022
Tips for 2022 GCE O-Level Additional Mathematics (4049) Paper 2
Dear Visitors to
this blog,
Below are the suggestions compiled based on
analysis of questions from GCE O-Level Additional Mathematics (4049) Paper 1
that was tested on Wednesday, 26 Oct 2022.
To help you focus your revision for Paper 2 to be tested on Friday, 28 Oct 2022,
I am going to start by providing you with a list of topics that you can consider NOT to revise anymore.
I will use the following colour codes:
BLUE for VERY LIKELY TO BE TESTED
GREEN for MAYBE
RED for NO NEED TO STUDY ALREADY
Topics that you may consider to LEAVE OUT for paper 2 are:
|
Topic No. |
Topic |
Contents |
|
Algebra |
||
|
A1 |
Quadratic functions |
NO MORE questions on · Finding
the maximum or minimum value of a quadratic function using the method of completing
the square (already tested in Q1 to find the stationary point, it should not
be mistaken to be under differentiation) · Using quadratic functions as models
very unlikely to be tested since quite a lot tested on quadratic functions · Conditions for y
= ax2 + bx + c to be always positive or negative (maybe only, very
unlikely to be tested) |
|
A2 |
Equations and inequalities |
NO MORE questions on · Solving simultaneous
equations in two variables by substitution, with one of the equations being a
linear equation · questions
involving discriminant (very unlikely) |
|
A4 |
Polynomials and partial fractions |
NO MORE questions on · Solving
cubic equations · Partial
Fractions · Remainder
and Factor Theorems (maybe only, very unlikely to be tested again) |
|
A5 |
Binomial expansions |
NO MORE questions on · binomial theorem |
|
Geometry and Trigonometry |
||
|
G1 |
Trigonometric functions, identities and equations |
NO MORE questions on · amplitude,
periodicity and symmetries related to sine and cosine functions · no more
sketching of sine and cosine curves, if there is any sketching,
it shall be y = a tan bx but very unlikely to be tested |
|
G2 |
Coordinate Geometry in two dimensions |
NO MORE questions on · linear
law Note: Paper 1 Q11 tested only
a little bit of coordinate geometry so there should still be a possibility of
coordinate geometry being tested, most likely tested together with equation
of circle. |
|
G3 |
Proofs in plane geometry |
NO MORE questions on · proofs in
plane geometry |
|
Calculus |
||
|
C1 |
Differentiation and integration |
NO MORE questions on · Increasing
and decreasing functions · Application
of differentiation and integration to problems involving Displacement (s),
velocity (v) and acceleration (a) of a particle moving in a straight line Note: even though the concept of stationary point
has been tested in paper 1 Q13, it is still possible for stationary point and
nature of stationary points be tested, for example the use
of 1st derivative test for stationary point of inflexion. |
Next up will be the LIKELY
TOPICS to be tested:
|
Topic No. |
Topic |
Contents |
|
Algebra |
||
|
A3 |
Surds |
· Four operations
on surds, including rationalising the denominator · Solving
equations involving surds [likely 1
question] |
|
A6 |
Exponential, logarithmic functions |
· Exponential
and logarithmic functions ax, ex,
loga x, ln x and their graphs, including -
Laws of logarithms -
Equivalence of y =
ax and x = logay · Simplifying
expressions and solving simple equations involving exponential and
logarithmic functions [at least 1
question] |
|
Geometry and Trigonometry |
||
|
G1 |
Trigonometric functions, identities and equations |
· Principal
values of sin–1 x, cos–1 x and
tan–1 x · Amplitude,
periodicity and symmetries related to sine and cosine functions · Graphs
of y = a tan (bx) · The
expression for a cos q + b sin q in
the form R cos (q ± α)
or R sin (q ± α) · Proofs
of simple trigonometric identities · Solution
of simple trigonometric equations in a given interval [2 to
3 questions, 1 on R-formula, 1 on proving of identities and solving equation
and possibly together with principal angles] |
|
G2 |
Coordinate Geometry in two dimensions |
· Conditions
for two lines to be parallel or perpendicular · Midpoint
of line segment · Area
of rectilinear figure · Coordinate
geometry of circles [1 to
2 questions, surely 1 on equation of circle] |
|
Calculus |
||
|
C1 |
Differentiation and integration |
· Derivative
as rate of change · Using
second derivative test to discriminate between maxima and minima (more for
real world context problem such as volume of container, area of plot of land
etc) · Applying
differentiation to gradients, tangents and normal, connected rates of
change and maxima and minima problems · Integration
as the reverse of differentiation · Evaluation
of definite integrals · Finding
the area of a region bounded by a curve and line(s) [ONE question on maxima and minima for real world context
problem] [ONE question on Integration as the reverse of
differentiation, this question requires you to use a previous differentiation
to integrate a related expression] [ONE question on area of a region bounded by a curve and line(s)] [Half a question on connected rate of change and some other
calculus related question combined together] You may still be tested on finding stationary points and
determine their nature (max, min or stationary point of inflexion) |
All the best to you.
Warmest Regards
Mr Ng Song Seng
