Tuesday, October 26, 2010
GCE-O Level Mathematics Paper 2 (2010)
My dearest Sec 4 Express, Sec 4NA and Sec 5 pupils,
Please focus your attention on the following topics for your revision for 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.
Please focus your attention on the following topics for your revision for 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.
You should study blue colour topic then green. You may want to skip red completely.
Before we jump into the topics, just a reminder to all additional maths pupils: Your Chemistry teachers are concerned that you may focus too much on Maths and neglect Friday’s Chemistry, so please don’t forget to revise a little bit of Chemistry. I will also be putting up solutions to last Saturday’s Geometrical Proof in elearn portal. Please also refer to the elearn portal for a detailed breakdown of number of questions per topic for Additional Maths based on analysis of past year papers.
Let's jump right in.VERY LIKELY TOPICS
Numbers & Algebra
1. Functions and Graphs
• plotting of points & drawing of curves
• estimation of gradients by drawing tangents, finding the point given the gradient (for additional maths pupils, please use differentiation to check your answers)
• add lines or curves to the original graph to solve equations, inequalities
• find equation of curve (for questions in which points are given but equation not given)
2. Problems derived from practical situations
• utilities bills
• hire-purchase
• simple interest and compound interest
• money exchange
• profit and loss
• taxation
3. Formulating equation to solve problem. The type of question that asks you to form an equation and reduced to the form ax^2 + bx + c = 0 then solve using formula.
• taxation
3. Formulating equation to solve problem. The type of question that asks you to form an equation and reduced to the form ax^2 + bx + c = 0 then solve using formula.
4. Algebra: complete square then use it to solve quadratic equation (if don’t have formulating equation to solve problem then this one sure have), factorization by grouping, simultaneous equations, should have no more algebraic fractions
Geometry
Geometry
5. Angles
• parallel lines
• parallel lines
• triangles and special quadrilaterals
• polygons
• circle properties (between green and blue, although already three marks in paper 1)
6. Trigonometry
• sine rule, cosine rule
• pythagoras theorem, toa-cah-soh
• 2- and 3- dimension problems (angle of elevation, depression, shortest distance, largest angle of elevation and depression, bearings)
7. Mensuration
• total surface area and volume of all sorts of solids
• perimeter and area of all sorts of plane figures
6. Trigonometry
• sine rule, cosine rule
• pythagoras theorem, toa-cah-soh
• 2- and 3- dimension problems (angle of elevation, depression, shortest distance, largest angle of elevation and depression, bearings)
7. Mensuration
• total surface area and volume of all sorts of solids
• perimeter and area of all sorts of plane figures
• radian measure (sector, segment, make sure you calculate everything in radians and do not keep converting between degrees and radians)
8. Vectors in two dimensions
• position vectors
• magnitude
• parallel vectors
• triangle law of vectors addition
9. Statistics
• dot diagram, box-and-whisker plots, histogram, cumulative frequency curve or combination of the last three types
• mean and standard deviation
• comparing spread (consistency based on standard deviation)
• comparing performance (based on mean)
Next up are the topics that may also be tested
MAYBE ONLY
Number & Algebra
1. Number Pattern
2. Percentages greater than 100%
9. Statistics
• dot diagram, box-and-whisker plots, histogram, cumulative frequency curve or combination of the last three types
• mean and standard deviation
• comparing spread (consistency based on standard deviation)
• comparing performance (based on mean)
Next up are the topics that may also be tested
MAYBE ONLY
Number & Algebra
1. Number Pattern
2. Percentages greater than 100%
3. Scale and map
Geometry
4. Coordinate Geometry (y = mx + c)
Geometry
4. Coordinate Geometry (y = mx + c)
5. Circle Properties (quite likely)
Statistics
6. Probabilities (because only 3 marks in paper 1)
Finally, the topics that you may choose to give little or no attention to:NO NEED TO STUDY LE
Numbers and Algebra
1. H.C.F. and L.C.M.
2. Very large and very small numbers (Mega, Giga, Nano, Pico, etc)
3. Indices
Statistics
6. Probabilities (because only 3 marks in paper 1)
Finally, the topics that you may choose to give little or no attention to:NO NEED TO STUDY LE
Numbers and Algebra
1. H.C.F. and L.C.M.
2. Very large and very small numbers (Mega, Giga, Nano, Pico, etc)
3. Indices
4. Algebraic fractions
5. Solving inequalities
5. Solving inequalities
6. Proportion
7. Matrices
8. Sketching graphs
9. Distance-time and Speed-time graphs
9. Distance-time and Speed-time graphs
10. Sets (Venn Diagram, union, intersection, empty set, subset)
Geometry
11. Congruence and similarity
Statistics
12. Stem-and-Leaf
Geometry
11. Congruence and similarity
Statistics
12. Stem-and-Leaf
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 @ 5:18 AM 
