IGCSE Mathematics: Essential Tips + Downloadable Notes for 2022

igcse maths past papers 2021

Are you looking for additional resources for your IGCSE or GCE Mathematics revision? Our team of subject experts at Tutopiya Online Tutoring have arranged a set of resources including IGCSE maths past papers 2021 just for your needs as a secondary school student whether you’re in Singapore or you’re an international student overseas. 

There are tips that highlight some common mistakes made by IGCSE Mathematics students. They are collected under various subheadings to help you when you revise a particular topic. These tips are generally applicable to any students taking Mathematics examinations.

Are you generally worried about your studies in Mathematics, especially since Mock & Prelims Exams are coming up? Worry not, here are all the common mistakes and tips our team has compiled to help our students ace their upcoming mathematics examinations!


Tutopiya also has detailed mathematic summary notes at the end of the article available for download, compiled by our team. Keep reading!

You can find the link to download at the end of the article!


General advice for mathematics papers

The question papers assume that you will have all the equipment listed on the front cover.
Make sure that you have all the items on this list the day before you go into the examination.

Be aware of which formulae you will be given and which you will need to learn before the exam. We’ve periodically provided content summaries across this article that you can download for free for your homework. 

Make sure that your calculator is set to degree (deg) mode before you enter the examination. It is always important to make sure your calculator is in the right mode (rad or deg whichever the question is asking). 

On the papers where you write your answer on the question paper, it is not acceptable to give a
choice of answers on the answer line. Examiners will mark the worst answer in these cases.

In construction questions, you are expected to be able to find a locus using just a pair of
compasses and a straight edge. Compass arcs showing your construction method are required
so do not rub them out – they are an important part of your workings.

The question papers are set so that you have time to finish them and check your answers. It is
important that you
read the question carefully and not make instant assumptions about what
you are being asked to do

You are advised to show working and solutions as marks are awarded for the working
even when answers may be incorrect. Marks are given for the work that you do correctly, not
subtracted for the work that you get wrong. This is also known as error carried forward. 

Graph Questions Tips

igcse maths past papers 2021

In reading graph questions it is very important that you make sure that you are reading the
scales correctly. The horizontal and vertical axes may be scaled differently.

If you are drawing a graph then you will need to plot points to within 1 mm and if the points lie
on a
curve, you need to join them with a smooth freehand curve.

You should not join points on a curve with a series of straight lines. If the points lie on a straight line, however, then it is important to use a ruler to join them

Most graphs are well behaved, smooth and do not do unexpected things. In particular, all
quadratic graphs with a formula such as y = 2x
2 – 3x – 4 have the same shape whatever the
numbers in the formula. They are just in different places on the grid.

If you asked to solve a quadratic equation and give the answer to two decimal places then
this is a clue that the quadratic formula is needed. This is a formula that you need to learn. If
no accuracy is mentioned in the question then it will usually factorise.

In cumulative frequency graphs, the top of the graph and the top of the vertical scale are
not always the same number. You need to use the number from the top of the graph in your
calculations. If you are in doubt about which axis to read your answer from, then look at the
labels on the axes, they will match the units or quantity given in the question.


Significant figures 

A minimum of three-figure accuracy is required in questions where no accuracy is specified. In
money questions answers to two decimal places are required.

To achieve three-figure accuracy in your answer you need to have at least four figures in your
workings. The best advice is to use the full calculator display throughout your working

Diagrams in questions having ‘not to scale’ written by them usually require a calculation. Do
not use these
diagrams to take measurements.

Triangles & angles 

If a triangle is right-angled, isosceles or equilateral then the question will say so either specifically or by giving information about the edges or angles.

Probability questions

In probability questions, answers should be given in fractions or decimals. Answers in ratio
form or in words are NOT acceptable. If you work with decimals or percentages then the 3
figure accuracy rule applies as well.

If you are asked to estimate the size of a number then only 1 significant figure is usually

When rounding numbers to a given number of significant figures, some zeros count and
some do not. Please note that 0.564 is rounded to 3 SF and 5.60 is also rounded to 3 SF.


IGCSE Maths past papers 2021: Paper 1 Tips (Algebra and Fractions) 

A basic feature of algebra is that multiplication signs are unnecessary – bc means b multiplied
by c.

A question that says factorise will require you to rewrite the expression using brackets.

Write as a fraction in its lowest terms means that you must cancel down the fraction as far as

For fraction questions that have “show all your working” included, means that the question must NOT be done on the calculator. A correct answer with no working will not score any marks


Time & Speed Questions: Key Terms 

  1. In the 24-hour clock system, answers cannot be bigger than 2400. 2415 must be written
    as 0015.
  2. You must be very careful with decimal amounts of time. 7 hours 30 minutes is NOT
    written as 7.3hours. The correct value would be 7.5 hours as 30 ÷ 60 = 0.5
  3. Answers in the 12-hour clock system must have am or pm included.
  4. You should be careful to check whether a travel graph question is a distance-time graph or a
    speed-time graph as the methods needed in each are very different


PAUSE! (IGCSE Maths past papers 2021)

We’re almost there through this guide! We told you it’s going to be comprehensive. Look at this cute gif of a puppy to boost your stamina, and continue reading this article!


IGCSE Maths past papers 2021: Paper 2 Tips

 When angles or lines have to be drawn or measured examiners expect them to be accurate to
within 2 mm and 2°. Marks are often not awarded because of poor accuracy.

Answers to bearing questions should always be given as 3 figure answers such as 078° or

 When you are asked to draw a locus you must ensure that it is drawn long enough to answer
the question. For example, the locus of all the points inside a shape must reach the edges of
the shape.


Paper 3 Tips 

You should read all the Paper 1 Tips as any of these topics could appear on paper 3. You may
also find some of the Paper 2 Tips useful as some of your topics can appear on paper 2.

Questions on this paper are written to test your understanding of Mathematics and parts of
questions will depend on previous parts of the question. You must be careful that you are using
any formula you have learnt appropriately.

Parts of questions are often connected. If you find an answer is unreasonable then it is likely
that you made a mistake in an earlier answer that you have then used. You should have time to
go back and check your earlier work.

In questions with mixed units, you should usually convert all the quantities to the unit required
in the answer before starting to do the questions, usually to decimal places or percentages. 


Paper 4 Tips

This is the only paper where you do not yet answer on the question paper. It is very important
that you
set your work out clearly so that the examiner is able to read what you have written.

Do not write answers to different questions side by side or put any work on the question paper.

It is particularly important that you show ALL your working otherwise you may be awarded very
few marks.


Transformation of Curves: Key Definitions 

 If the correct term is,…

 1. Rotation: Then you should give the centre as a coordinate and the angle of rotation with direction 

2. ReflectionYou should give the equation of the mirror line

3. Translation: You should say how much it moves in each direction – use a column vector to do this

4. Enlargement: then you should give the centre as a coordinate and scale factor

5. Stretch: then you should give the direction and scale factor.

6. Shear: then you should give the shear factor and the invariant line.


Our Downloadable Mathematics Note

Download our detailed summarised mathematics notes here

Download Here!


Did you find these tips useful? You can also find downloadable free notes and sample questions over at our Resource centre! Subscribe to our mailing list to get more study tips and resources!

Tutopiya Logo new

About Us
Reach Us

All rights reserved

©2022 tutopiya