FaithfullyOnTheRedDot

My dearest Sec 4 Express, Sec 4NA pupils 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.

VERY LIKELY TOPICS

Numbers & Algebra

1. Graph
• plotting of points & drawing of curves
• estimation of gradients by drawing tangents, finding the point given the gradient (for addition 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 (maybe only) and compound interest (no need study compound interest)
• money exchange
• taxation

3. Formulating equation to solve problem. Algebraic fractions, simple fractional equations that can be reduced to quadratic or linear equation

4. Variation (proportional and inversely proportional type of questions, y = k/x)

5. Set language and notation: Venn diagram, shading and writing down in set notation to represent shaded region in Venn diagram

6. Matrices: problems involving the product and sum of two matrices, interpreting the data in a given matrix and product of a scalar quantity and a matrix

Geometry
7. Angle properties
• circle properties
• parallel lines

8. 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)

9. Mensuration
• total surface area (very likely)
• cuboid, pyramid, cylinder (unlikely cone, sphere)

10. Statistics
• dot diagram, stem & leave, box-and-whisker plots, histogram
• mean and standard deviation
• comparing spread (consistency based on standard deviation)
• comparing performance (based on mean (more likely) or median)


11. Probability (must study)


Next up are the topics that may also be tested


MAYBE ONLY

Algebra
1. Number Pattern
2. Sketching of graphs: quadratic (x - 3)(x + 4) = 0, (x + a)^2 + b = 0, solving quadratic equation like (x + a)^2 + b = 0.
3. scale and map


Geometry
4. area of sector, segment
5. Construction (very slim chance)

Statistics
6. Mean, mode, median (quite unlikely but if it appears, will be test on finding possible values of x such that the median/mode comes from a particular group)

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. Factorisation and expansion of quadratic expressions except difference of two squares
5. Solving inequalities
6. Simultaneous equations
7. compound interest
8. Distance-time and Speed-time graphs

Geometry
9. congruency, similarity (maybe)
10. Properties of polygons ((n-2) x 180 degrees, sum of ext angles = 360 degrees, etc)
11. Coordinate geometry (y = mx + c)
12. Vectors

Statistics
13. cumulative frequency.

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