Thursday, October 28, 2010
2010 GCE-O Level Additional Mathematics Paper 2
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
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)
• 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
1.2 Indices and surds: (Chapter 4)
• solving equations involving indices and surds
1.5 Partial fractions: (Chapter 3)
• usually together with differentiation or integration
1.6 Binomial expansions: (Chapter 9)
• please practise term independent of x, coefficients, n!
1.7 Exponential and logarithmic functions (Chapter 16)
1.6 Binomial expansions: (Chapter 9)
• please practise term independent of x, coefficients, n!
1.7 Exponential and logarithmic functions (Chapter 16)
• solving simple equations involving exponential, logarithmic
2 Geometry and Trigonometry
2.1 Trigonometric functions, identities and equations (Chapters 6, 7)
• sketching, amplitude, period
• R formula
• solution of simple trigonometric equations in a given interval
2.2 Coordinate geometry in two dimensions (Chapter 5)
• condition for two lines to be parallel or perpendicular
• mid-point of line segment
• finding the area of rectilinear figure given its vertices
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 (if you are game for this, go to elearn portal for last Saturday’s revision worksheet with worked solutions)
3 Calculus
3.1 Differentiation and integration (Chapters 12 to 18)
• definite integral as area under a curve
• finding the area of a region bounded by a curve and lines parallel to the coordinate axes
• finding areas of 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 (for sure one question on Kinematics)
Next up will be topics that maybe tested too
MAYBE ONLY
1 Algebra
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)
Next up will be topics that maybe tested too
MAYBE ONLY
1 Algebra
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)
2 Geometry and Trigonometry
2.1 Trigonometric functions, identities and equations (Chapters 6, 7)
• 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
• applying differentiation to gradients, tangents and normals,
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! very loud ones, eh no jeering pls)
1 Algebra
1.1 Quadratic equations and inequalities (chapter 2)
• solution of quadratic inequalities, and the representation of the solution set on the number line
• relationships between the roots and coefficients of the quadratic equation
ax2 + bx + c = 0 (α + β, αβ)
1.3 Polynomials: (Chapter 1)
• use of remainder and factor theorems
1.7 modulus functions (Chapters 2)
• solving simple equations involving modulus functions
• sketching
2 Geometry
2.1 Trigonometric functions, identities and equations (Chapters 6, 7)
• exact values of the trigonometric functions for special angles (30°, 45°, 60°)
2.2 Coordinate geometry in two dimensions (Chapters 5, 11)
• transformation of given relationships, including y = axn and y = kbx, to linear form to determine the unknown constants from the straight line graph
• coordinate geometry of the circle, (centre, radius, reflection, conditions for touching axes/lines)
3 Calculus
3.1 Differentiation and integration
• stationary points (maximum and minimum turning points and stationary points of inflexion)
• use of second derivative test to discriminate between maxima and minima
• rate of change (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
# posted by FaithfullyOnTheRedDot @ 3:43 AM 
