AQA Module 5
Bristol LA Mathematics Consultant
Based on an original by Steve Alexis
(AST at Brislington Enterprise College)
Exam Questions – collecting marks
It’s all about getting every possible mark
– record every step in your working
– not cross anything out
– check the sense of your answers
– be aware of the number of marks available
– use the correct terminology
– take note of specific instructions – include
units; give your answer to 2 dp
The next few slides will re-visit some key
• When rounding to a given number of decimal
places count each place after the decimal
• When rounding to a given number of
significant figures, begin counting from the
first non-zero digit.
Correct to 1 decimal place is 27.4
Correct to 1 significant figure is 30
If a question says..
‘Give your answer to a sensible degree
you need to write the answer no more
accurately than the values in the
E.g. If a question has values to 2 s.f.
then give the answer to 2 s.f. or 1.s.f
Algebra –what it means!
• Simplify – collect terms together
– E.g. 2a + 3b + 4a – 5b = 6a – 2b
• Factorise – take out a common factor
– E.g. factorise 4x2
+ 6x = 2x(2x + 3)
• Expand - multiply out the brackets
– E.g. 7(p – 4q) = 7p – 28q
Algebra – what it means (2)
• Expand and simplify – multiply out the
brackets and then collect terms
– E.g. 2(p + 5q) + 7(p - 4q)
= 2p + 10q +7p – 28q
= 9p – 18q
• Solve – find the exact value of [x] that makes
the equation true.
– E.g. 4(2x – 3) = 20
8x – 12 = 20
8x = 32
x = 4
If question says ‘do not use trial and
improvement’, then an algebraic
method is expected. Any sign of trial
and improvement will be penalised.
This is particularly true for solving
• Draw all graphs in pencil.
• Make sure you plot points neatly with a small
• If the graph has an equation with an x2
it then it will be ‘U’ shaped or ‘∩’ shaped.
– 3x – 5
If it is not a smooth curve check that you have
worked out your values correctly and/or that
they are plotted accurately.
Straight line graphs
If asked to draw the graph of y = 2x+ 3 there
are 2 methods you could use.
(i) draw up a table of values to plot 3 points
(why a minimum of 3?).
You can choose the values of x, but keep
them simple e.g. 0, 2 and 4
(ii) use the gradient and intercept method
Perimeter, Area and Volume
• Perimeter measures length, so your answer
should be in km, m, cm or mm
• Area units are squared e.g. m2
• Volume is measured in cubic units e.g. cm3
• Remember that there are two formulae in the
front of the paper. These help you to find the
area of a trapezium and the volume of a
USE THEM IF YOU NEED THEM.
Some useful area formulae
• Area of a rectangle = length x width
• Area of a parallelogram = base x height
• Area of a triangle = base x height
• Area of a circle = πr2
Circumference of a circle = πd or 2πr
Use the π button on your calculator.
Don’t measure it!
• If a diagram says :
‘Not to scale’ or ‘not drawn accurately’
to work out the answer you will need to
do some calculation(s).
You do not measure lengths
Know your angle facts!
• There are 360° in a full turn
• The sum of the angles at a point on a
straight line is 180 °
• The sum of the angles in a triangle is 180°
• The sum of the angles in a quadrilateral is
Angles Between Parallel lines
remain the same
Vertically opposite angles are equal. vert.opp. ∠s
Corresponding angles are equal. corr. ∠s
Alternate angles are equal. alt. ∠s
Interior angles sum to 180o
.(Supplementary) Int. ∠s
Remember that bearings are:
1. measured from the NORTH
2. in a clockwise direction
3. written with 3 figures e.g. 060°
Reflection A line of reflection
Rotation A centre, an angle (90°,
180°, 270°) and a direction
Translation A vector e.g.
Enlargement A centre and scale factor
(which can be a fraction)
Is used for finding lengths in right-angled
In a right-angled triangle,
the square on the
hypotenuse is equal to
the sum of the squares
on the other two sides.
The Trigonometric Ratios
S O CH A H T O A
In the exam
• Read the whole paper
• Highlight important points (but don’t use a
highlighter pen on your answers)
• Do the questions that you find easy first
• Be aware of the number of marks per
question or part of a question
• Remember units, rounding
• Check your answers thoroughly at the end