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 topic then green. You may want to skip red completely.


VERY LIKELY TOPICS

Under the topic of Numbers and Algebra


1. Functions and Graphs
(a) 12-mark question on graph
• 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)

(b) sketching of quadratic graphs

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 difference of two squares, changing subject of a formula, simultaneous equations

5. Numbers and the Four Operations – very large and very small numbers such as Mega, Giga, Tera, Million, Billion, Trillion, micro, nano and pico and use of standard form

6. Set language and notation [combined with another topic]

7. Matrices – please practise those long long type problems like 2009 Q5 where you need to state what the elements of the matrix represent


Under the topic of Geometry and Measurement

8. Trigonometry
• sine rule, cosine rule
• pythagoras theorem, toa-cah-soh, ½ ab sin C
• 2- and 3- dimension problems (angle of elevation, depression, shortest distance, largest angle of elevation and depression, no more bearings, yeah)

9. Mensuration
• total surface area and volume of all sorts of solids
• perimeter and area of all sorts of plane figures


Under the topic of Statistics and Probability

10. Statistics
• cumulative frequency curve, box-and-whisker plots, histogram,
• median, lower quartile, upper quartile and interquartile range
• comparing spread (consistency based on interquartile range)
• comparing performance (based on median)


Next up are the topics that may also be tested

MAYBE ONLY

Number and Algebra

1. Percentages greater than 100% and problems involving percentages

Geometry

2. Angle properties – corresponding angles, alternate angles, interior angles, properties of triangles and special quadrilaterals

3. maybe congruency, ratio of volumes of similar solids, determining whether two triangles are congruent, pray hard it is not like 2007 Q3


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. Indices
3. Scale and Map
4. direct and inverse proportion
5. Speed and all the distance-time, speed-time and acceleration-time graphs
6. Algebraic fraction
7. factorisation of x^2+bx+c, by grouping
8. solving inequalities and number line
9. Number Pattern

Geometry
10. Similarity
11. angle properties of polygons
12. Radian measure (area of sector, arc length)
13. Yeah, no more circle properties
14. No more bearings
15. Coordinate Geometry (y = mx + c, length of line segment joining two points, etc)
16. NO more vectors

Statistics
17. Stem-and-Leaf
18. standard deviation
19. Probability

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