FaithfullyOnTheRedDot

My dearest Sec 4 Express and Sec 5 pupils,


Please focus your attention on the following topics for your revision for Additional Mathematics Paper 2: (Note: this is just a guide to help you to be more focussed in your revision. It is in no way a guarantee match of Tomorrow's paper)

To help you further, I will be using the following colour codes: blue - very likely topic, green - maybe only, red - no need to study le.


VERY LIKELY TOPICS


1 Algebra
1.1 Quadratic equations and inequalities: (Chapter 2)
• relationships between the roots and coefficients of the quadratic equation (α + β, αβ)


1.4 Simultaneous equations in two unknowns: (Chapter 8)
• expressing a pair of linear equations in matrix form and solving the equations by inverse matrix method (revise conditions for no solution / infinite number of solutions)

1.5 Partial fractions: (Chapter 3)


1.6 Binomial expansions: (Chapter 9)


• term independent of x, coefficients, n!


1.7 modulus functions (Chapters 2)


• solving simple equations involving modulus functions


• sketching






2 Geometry and Trigonometry


2.1 Trigonometric functions, identities and equations (Chapters 6, 7)


• exact values of the trigonometric functions for special angles (30°, 45°, 60°)


• R formula


2.2 Coordinate geometry in two dimensions (Chapters 11)


• coordinate geometry of the circle, (centre, radius, reflection, conditions for touching axes/lines)


2.3 Proofs in plane geometry (Chapter 10)


• do not spend too much time here if you are not too confident, use your knowledge in congruency and similarity to gain some marks here






3 Calculus


3.1 Differentiation and integration


• stationary points (maximum and minimum turning points and stationary points of inflexion), please revise first derivative test as well


• use of second derivative test to discriminate between maxima and minima


• surely one question on Maximum/Minimum


• area under a curve (take note of those regions below the x-axis)


• application of differentiation and integration to problems involving displacement, velocity and acceleration of a particle moving in a straight line with variable or constant acceleration


• surely one question on Kinematics



Next up will be topics that maybe tested too


MAYBE ONLY


1 Algebra


1.2 Indices and surds: (Chapter 4)


• solving equations involving indices


1.7 Exponential and logarithmic functions (Chapter 16)


• functions a^x, e^x, loga x , ln x and their graphs





2 Geometry and Trigonometry



2.1 Trigonometric functions, identities and equations (Chapters 6, 7)


• solution of simple trigonometric equations in a given interval (in degrees)


• proofs of simple trigonometric identities


2.2 Coordinate geometry in two dimensions (Chapter 11)


• graphs of y = ax^n and y^2 = kx





3 Calculus


3.1 Differentiation and integration


• integration as the reverse of differentiation (maybe because only 3 marks for Question 12(iii))


Finally, we have come to the topics that you do not have to give any attention to:


NO NEED TO STUDY LE (a few cheers)

1 Algebra

1.1 Quadratic equations and inequalities (chapter 2)


• conditions for a quadratic equation to have: (i) two real roots, (ii) two equal roots, (iii) no real roots and related conditions for a given line to: (i) intersect (ii) not intersect or (iii) be a tangent to a given curve


• conditions for ax^2 + bx + c to be always positive (or always negative)


1.2 surds (Chapter 4)

1.3 Polynomials: (Chapter 1) (be prepared to see one question because only 4 marks in paper 1)


1.7 Exponential and logarithmic functions (Chapter 16)


• solving simple equations involving logarithmic



2 Geometry


2.1 Trigonometric functions, identities and equations (Chapters 6, 7)


• sketching, amplitude, period


2.2 Coordinate geometry in two dimensions (Chapters 5, 11)


• all except circle and graphs of y = ax^n and y^2 = kx



3 Calculus


3.1 Differentiation and integration


• rate of change (Chapter 14)


• tangent, normal (Chapter 14)


• increasing and decreasing functions (Chapter 13)



Hope that this analysis will help you to be more focussed in your revision.

Do your best, let GOD do the rest.

Yours sincerely,

Mr Ng Song Seng