Just in case you are interested, we have already uploaded the solutions to the all 2010 O-Level mathematics and additional mathematics papers on MathsGuidebook.com:

http://www.mathsguidebook.com/2010.php

Congratulations to all who have done well for their Mathematics paper!

]]>The solutions to the all 2010 papers (*4016/4038 Mathematics/Additional Mathematics Worked Solutions for Papers 1 and 2*) are uploaded on MathsGuidebook.com:

http://www.mathsguidebook.com/2010.php

Congratulations to all who have done well for their Mathematics paper!

]]>The solutions to the 2010 Additional Mathematics Paper 1 and Mathematics Papers 1 and 2 have been uploaded here:

]]>The solutions to the 2010 Mathematics Paper 1 and 2 have been uploaded here:

]]>Firstly, the question on permutations and combinations is likely to involve a **circular permutation**, such as the arrangement of people on chairs placed around a table. This concept has not been tested in the two preceding years, i.e. 2008 and 2009. However, do take note that if the chairs are distinct (numbered, coloured, etc.), there is no need to divide the final answer by the total number of seats.

For probability, be especially familiar with **conditional probability**, which is a commonly tested concept. Keep in mind the **definitions** of independent events and mutually exclusive events. Yes, they certainly do test definitions, and they have already tested it in the H1 Mathematics paper last year. In fact, the various distributions – binomial, Poisson and normal – may be sprinkled all over this topic.

For the rest of the Statistics topics, read the full article at the Mathematics Handy Guide website.

http://handyguide.mathsguidebook.com/viewer?2010-h2-statistics-possible-questions

]]>The solutions to the 2010 Mathematics Paper 1 have been uploaded here:

]]>Functions may well be relatively easy for most students this year, as schools have prepared them to expect unorthodox questions.

For the transformation of graphs, sketching the curve of y = f'(x) has not surfaced over the past three years. A possible question would be to sketch such a curve, given the original curve. Pay careful attention to the stationary points and asymptotes, indicating the transformed points and asymptotes in your answer where necessary. Albeit unlikely, students may be asked to sketch the curve of y = f(*x*), given the curve of y = f'(*x*) and another transformed curve.

This year, a question involving the method of differences may possibly be tested. Recall that this is achieved when there is a common function, i.e. f(1) – f(2) + f(2) – f(3) + … – f(*n* – 1) + f(*n* – 1) – f(*n*) = f(1) – f(*n*). Schools would have placed much emphasis on this topic. While problems involving decomposition by partial fractions abound, always remember that the function may be exponential, logarithmic or even trigonometric – think along the addition formulae.

Questions involving vectors can be quite unpredictable at time, but have the scalar and vector products at your fingertips. These equations can be rearranged to give surprising results which can solve the question more effectively. Perhaps, this year’s question may involve a three-dimensional diagram, such as an odd-shaped container. Of course, do not forget about the ratio theorem, which is found in List MF15, and of course, the midpoint theorem, which can be subsequently derived from the ratio theorem. When finding the angles between lines, vectors and planes, it is advisable to check whether the angle is acute or obtuse. And chances are, vectors will appear in both papers.

For other Pure Mathematics topics such as complex numbers and differential equations, read the full article at the Mathematics Handy Guide website.

http://handyguide.mathsguidebook.com/viewer?2010-h2-mathematics-possible-questions

Questions involving vectors can be quite unpredictable at time, but have the scalar and vector products at your fingertips. These equations can be rearranged to give surprising results which can solve the question more effectively. Perhaps, this year’s question may involve a three-dimensional diagram, such as an odd-shaped container. Of course, do not forget about the ratio theorem, which is found in List MF15, and of course, the midpoint theorem, which can be subsequently derived from the ratio theorem. When finding the angles between lines, vectors and planes, it is advisable to check whether the angle is acute or obtuse. And chances are, vectors will appear in both papers.

The GCE O-Level mathematics paper is coming in a few days’ time. As usual, the solutions for the Elementary Mathematics and Additional Mathematics papers will be uploaded on **MathsGuidebook.com** as soon as possible.

However, we need the question paper before we can prepare the solutions. So, if you have the question paper to this year’s examinations, please share them with us straight away!

If you have a scanner or a digital camera, *info (at) mathsguidebook.com*

If you would like to fax the question paper to us, *+65 3135 5113
*Just left the examination hall? Drop us an MMS,

The solutions will be uploaded here: http://www.mathsguidebook.com/2010.php

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