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Search Results for: equation of circle

2015 GCE O-Level Additional Maths 4047 Paper 1 Post Mortem Not Solutions

After doing the revised syllabus 4047 GCE O-Level Additional Maths Paper 1, it reconfirms that Cambridge is testing basic concepts but presented in a different manner.

There are a few questions which are truly testing your application like the one on quadratic curve is always negative, range of m for which the graphs have two intersection points ...

I highly recommend all candidates to read your question carefully, keep asking yourself if you have answered the question.

An additional point to highlight is look at the allocation of marks to gauge the amount of working to present, the choice of approaches to use.

Based on what have been tested in Paper 1, we are looking forward to the following concepts in Paper 2:

  • Indices
  • Sum & Product of roots
  • Factor Remainder Theorem (solving cubic equations)
  • Equation of circle (*Draw if you don't understand the question)
  • Trigonometry R formula
  • The Hence concept (Differentiation & Integration combined)
  • Partial Fraction & Integration
  • Properties of Integral
  • Differentiation & Integration of exponential function and ln function
  • Differentiation: Eqn of Tangent & Normal
  • Coordinate Geometry
  • Equation of circle
  • Binomial Expansion
  • Linear Law

I would be expecting cross-chapters questions on Monday. Just like you, I'm a candidate so the above list is just my suggestion.

All the best for the final Maths paper. See you at the finishing line.

PS: Don't worry about bell curve! It's beyond our control!

Filed Under: A-Maths, Exam Matters

2014 GCE O-Level Additional Maths 4047 Paper 1 Post Mortem

After doing the revised syllabus 4047 GCE O-Level Additional Maths Paper 1, it reconfirms that Cambridge is testing basic concepts but presented in a different manner.

There are many small details that candidate should look out for. I was underlining these small details eg acute angles, exact value, in radians, the acute angle, x coordinate.

I highly recommend all candidates to read your question carefully, keep asking yourself if you have answered the question.

An additional point to highlight is look at the allocation of marks to gauge the amount of working to present, the choice of approaches to use.

Based on what have been tested in Paper 1, we are looking forward to the following concepts in Paper 2:

  • Indices
  • Logarithms
  • Sum & Product of roots
  • Factor Remainder Theorem (solving cubic equations)
  • Equation of circle (*Draw if you don't understand the question)
  • Trigonometry Graphs
  • Trigonometry Double Angle
  • Geometry Proof (Please know your congruent and similar triangles tests) 
  • Parabola & General shapes of graphs in the form y = ax^n (where n is a fraction)
  • Area under curve
  • The Hence concept (Differentiation & Integration combined)
  • Kinematics 

I would be expecting cross-chapters questions tomorrow. Just like you, I'm a candidate so the above list is just my suggestion.

All the best for the final Maths paper. See you at the finishing line.

PS: Don't worry about bell curve! It's beyond our control!

Filed Under: A-Maths, Exam Matters

2013 GCE O-Level Additional Maths 4038 Paper 1 (Post Mortem)

Observations for 2013 GCE O-Level Additional Maths Paper 1:  Graph on linear law, partial fractions, binomial, nature of stationary points, decreasing function, coordinate geometry, exponential word problems, sum & product of roots, proving identity, factor formula, modulus, rate of change, hence qn on dy/dx & integration.

Based on what was tested in GCE O-Level A-Maths 4038 Paper 1, the following concepts are yet to be tested:

  • Trigonometry equations
  • Trigonometry graph
  • Indices
  • Matrices
  • Kinematics
  • Plane Geometry (very likely)
  • Gradient of tangent or normal
  • Logarithms
  • Factor remainder theorem
  • Relationship between curve and line
  • R-formula
  • Equation of circle
  • Area under curve

We look forward to 2013 GCE O-Level A-Maths 4038 Paper 2!
Do your best and check your work to achieve perfection!

 

Filed Under: A-Maths Tuition, Exam Matters

E-Maths: Completing Square Step-by-Step Video (Part 1)

I was talking to my Secondary 3 students in my O-Level E Maths weekly tuition class on Quadratic when they expressed disgust for the technique of Completing Square.

A similar thing happened when Completing Square was an alternative method offered to Equation of Circle concept. There was a collective yucks from the class.

I hope my video will ease the yuckness many students find with completing square technique and give you some hope to conquer it!

Test out your understanding by leaving your answer for the bonus question in the comments below!

Direct link to video: http://www.youtube.com/watch?v=bf8PfyP2h74

Filed Under: E-Maths, Video Learning Tagged With: completing square, quadratic equations

4049 O Level Additional Maths Topics

Algebra

Quadratic Functions

Equations & Inequalities

Surds

Polynomials & Partial Fractions

Binomial Expansions

Exponential & Logarithm Functions

Geometry & Trigonometry

Trigonometric Functions, Identities & Equations

Coordinate Geometry (+ Circle + Straight Line Graphs)

Proofs in Plane Geometry

Calculus

Differentiation & Integration

2020 syllabus for Singapore GCE O Level Additional Maths 4047

Due to convid-19 situation, Ministry of Education (MOE) Singapore has announced the common last topic (CLT) will not be examined in 2020 GCE O Level Additional Maths examination.

  • Quadratic equations & Inequalities (include solving simultaneous equations, sum & product of roots)
  • Indices & surds
  • Polynomials & partial fractions (factor - remainder theorem, solving cubic equations)
  • Binomial expansions
  • Power, exponential, logarithmic & modulus functions
  • Trigonometric functions, identities & equations
  • Coordinate geometry in two dimensions (include circle, straight line graphs, parabolas graphs)
  • Proofs in plane geometry (CLT)
  • Differentiation & integration

2020 GCE O Level Additional Maths 4047 syllabus

Filed Under: Press Releases

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