FaithfullyOnTheRedDot

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:



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.



VERY LIKELY TOPICS






Under the topic of Numbers and 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.






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, algrabraic fractions, should have no more simultaneoues equations






Under the topic of Geometry and Measurement






5. 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)






6. Mensuration


• total surface area and volume of all sorts of solids


• perimeter and area of all sorts of plane figures


• most likely to be objects with straight edges such as pyramid and cuboid






7. Vectors in two dimensions


• position vectors


• magnitude


• parallel vectors


• triangle law of vectors addition






Under the topic of Statistics and Probability






8. Statistics


• stem and leaf diagram, box-and-whisker plots, histogram,


• mean and standard deviation


• comparing spread (consistency based on standard deviation)


• comparing performance (based on mean)






9. PROBABILITY



Next up are the topics that may also be tested



MAYBE ONLY


Number and Algebra


1. Number Pattern (quite like too)

2. Direct and Inverse Proportion






Algebra


3. Solving inequalities


4. factorisation by grouping






Geometry


4. Angle properties of polygon

5. Circle Properties (quite likely)

6. maybe congruency



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), standard form


3. Indices


4. Matrices


5. Scale and map


6. Sets (Venn Diagram, union, intersection, empty set, subset)






Algebra


7. Simultaneous equations


8. Sketching graphs involving filling up container, Distance-time and Speed-time graphs






Geometry


9. Similarity


10. Construction


11. Radian measure (area of sector, arc length)


12. Coordinate Geometry (y = mx + c)






Statistics


13. cumulative frequency, upper and lower quartile, interquartile range





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