Wednesday, May 11, 2011

Tips on How to Answer Maths Paper 2 (SPM)


Here are some tips for you on how to answer Paper 2 (SPM format):
1.  Topic: Shading areas of inequalities.
(i).  Usually, the question gives 2 lines only. So, draw the 3rd straight line first. If the equation of the line is y = c, then the line is a horizontal one, passing through the y-axis at c. If the equation is x = a, then the line is a vertical one, passing the x-axis at a. If the equation is y = mx + c, then it is a line with a gradient m and y-intercept at c.
(ii). After drawing the 3rd line, then only you shade the area engulf by the 3 lines.. Put your pens or pencils on each of the 3 lines, and you will get the area to shade...

2.  Topic: Set.
(i).  If the question is on shading areas of sets, then putting numbers on each of the area in the diagram would help a lot. Just put areas 1, 2, 3, 4, ...and so on.
(ii).  I hope you know what the symbols of the operations involved are, i.e. intercept, union, and complement.
List down the areas 1 and 2, or 3 and 5 or just 4..., and so on... Then only you shade the area...

3.  Topic: Quadratic Equation.
(i).  You will be given an equation NOT in quadratic form. Arrange the algebraic terms into a quadratic form, i.e.  ax2 + bx + c = 0  (ax square plus/minus bx plus/minus c = 0)
(ii)  Factorise the quadratic equation manually. Don't use the calculator. You'll lose marks if you do...
(iii) There should be 2 answers, whatever the question is...

4.  Topic: Simultaneous Equations.
(i)   3 ways to solve this question - elimination method, substitution method or matrix method.
(ii)  The elimination method is the simplest. Just multiply the whole equation so that the coefficient of any one of the unknown is the same. You may multiply one or both equations.
(iii)  Add or minus the simultaneous equations so that only one unknown is left behind. Then, you will get the value of one of the unknown.
(iv)  Substitute the value to get the other value of the unknown....

5.  Topic: Volume of Solids.
(i)  The formulae of volumes of solids are given on pages 2,3 and 4 of the SPM Paper 2. Just pick the correct shapes...
(ii) You must write down the formulae with the values substituted in the formula. If you don't, you'll lose marks...
(iii) Use the calculator (after writing down the workings) to get the final answers...

6.  Topic: Lines and Planes in 3D.
(i)  This topic is usually a burden to most students. That's normal...
(ii)  Just find the normal line of the line or the plane. You need to do a lot of "recognizing" the angle involved by doing a lot of exercises on this topic. No short cut !!! My advice is to find someone who master this topic.
It's quite difficult to show it in 3D here...

** to be continued..
Have a nice day...

1 comment:

PaulOS said...

Dear Cikgu Dess.
I've just opened a centre for kid's with learning differences.. and want to read up on national school syllabus again. have not come into contact with any students yet, but would love to do so .. could you provide me with the title/ISBN number for the math books so I can get it to prepare for this. thanks

Paul S