FaithfullyOnTheRedDot

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.

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

a^x, e^x, log_a x, ln x and their graphs, including

-        Laws of logarithms

-        Equivalence of y = a^x and x = log_ay

·       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)