Mathematics Revision Booklet
EdExcel Mathematics (1MA1)
Paper 1 Non Calculator: Thursday 25th May
Higher 1MA1/1H or Foundation 1MA1/1F
Weighting 33.33%
80 Marks 1 hour 30 minutes
Paper 2 Calculator: Thursday 8th June
Higher 1MA1/2H or Foundation 1MA1/2F
Weighting 33.33%
80 Marks 1 hour 30 minutes
Paper 3 Calculator: Tuesday 13th June
Higher 1MA1/3H or Foundation 1MA1/3F
Weighting 33.33%
80 Marks 1 hour 30 minutes
Grade Descriptors
Foundation: Grades 1 to 5
Higher: Grades 5 to 9
A good GCSE pass is considered a grade 4 or above
Grade 3
Algebra
Geometry &
Measures
Number
Probability
Ratio &
Proportion
Statistics
3
Coordinates in four quadrants
3
Plotting straight line graphs
3
Position to term rules
2
Sequences and Rules
3
Sequences of square, triangular and cube numbers
3
Using Formulae
3
3-D Shapes
3
Congruent and similar shapes
3
Geometrical terminology and diagrams
3
Measuring lines and angles
3
Properties of quadrilaterals
3
Properties of triangles
3
Translations and vectors
3
Using standard units
2
Add and Subtract integers
3
Decimals
2
Dividing integers
3
Listing outcomes
2
Multiplying integers
2
Ordering numbers
2
Place value
3
Prime numbers
3
Using standard units
3
Frequency Trees
3
Probability of equally likely outcomes
3
Convert standard units
3
Express one quantity as a fraction of another
3
Use ratio notation
3
Use scale factors, diagrams and maps
3
Charts and Diagrams
3
Pie Charts
3
Types of data
3
Vertical Line Charts
Grade 4
Topic
Algebra
Geometry &
Measures
Number
Grade
Test Title
4
Changing the subject
4
Collecting like terms
3
Coordinates in four quadrants
4
Expressions
4
Factorise single bracket
4
Finding the equation of a line
4
Graphs of linear functions
4
Graphs of quadratic functions
4
Linear equations one unknown
4
Multiplying single brackets
4
Non-standard real life graphs
4
nth term of a linear sequence
4
Number machines
3
Plotting straight line graphs
3
Position to term rules
3
Sequences of square, triangular and cube numbers
4
Substitution
4
Using "y = mx + c"
3
Using Formulae
3
3-D Shapes
4
Alternate and corresponding angles
4
Area of a circle
4
4
4
Areas of composite shapes
Areas of triangles, trapezia and parallelograms
4
Circle terminology
4
Circumference of a circle
3
Congruent and similar shapes
4
Congruent triangles
4
3
Enlargements and fractional SF
Geometrical terminology and diagrams
3
Measuring lines and angles
4
Perimeter of 2D shapes
4
Plans and elevations
4
Polygons
3
Properties of quadrilaterals
3
Properties of triangles
4
Solve geometrical problems
3
Translations and vectors
3
Using standard units
4
Vector arithmetic
4
Volume of prisms
4
Adding and subtracting fractions
4
Checking calculations
4
Compound measures
4
Converting metric units
Bearings
Probability
Ratio and
Proportion
Statistics
3
Decimals
4
Estimation
4
Fractions and percentages
4
Fractions and ratio problems
4
Interpret calculator displays
4
LCM and HCF
3
Listing outcomes
4
Multiples and factors
4
Multiplying fractions
4
Operations
4
Order of operations
4
Powers
3
Prime numbers
4
Rounding
4
Standard Form
4
Terminating decimals and fractions
3
Using standard units
3
Frequency Trees
4
Mutually exclusive sum
3
Probability of equally likely outcomes
4
Relative Frequency
4
Tables and Grids
4
Theoretical Probability
4
Unbiased Samples
4
4
4
Venn Diagrams
Compare Fractions, Decimals and Percentages
4
Comparing quantities as a ratio
3
Convert standard units
4
Division of a quantity as a ratio
4
3
4
Express one quantity as a % of another
Express one quantity as a fraction of another
4
Problems involving ratio
4
Proportion and ratio
4
Ratio and fractions
4
Ratio Sharing
3
3
Use ratio notation
Use scale factors, diagrams and maps
3
Charts and Diagrams
4
Comparing data using graphs
4
Comparing Distributions
4
Correlation
3
Pie Charts
4
Population
4
Sampling
4
Scatter Diagrams
4
Time series
3
Types of data
Compare lengths, area, volume
Percentage change
3
Vertical Line Charts
Grade 5
Topic
Grade
5
Algebraic argument
5
Algebraic terminology
4
Changing the subject
4
Collecting like terms
5
Cubic and Reciprocal graphs
5
Deduce quadratic roots algebraically
5
Derive an equation
5
Equation of a line
5
Expand the product of two binomials
4
Expressions
4
Factorise single bracket
5
Factorising quadratic expressions
5
Algebra
Geometry &
Measures
Test Title
Fibonacci, quadratic and simple geometric sequences
4
Finding the equation of a line
5
Graphical solution to equations
4
Graphs of linear functions
4
Graphs of quadratic functions
5
Inequalities on number lines
5
Linear equations
4
Linear equations one unknown
4
Multiplying single brackets
4
Non-standard real life graphs
4
nth term of a linear sequence
4
Number machines
5
Quadratic graphs
5
Reciprocal real-life graphs
5
Simplify indices
5
5
Simplify surds
Solve linear inequalities in one variable
4
Substitution
4
Using "y = mx + c"
5
Writing formulae and expressions
4
Alternate and corresponding angles
5
Arc lengths and sectors
4
Area of a circle
4
Areas of composite shapes
Areas of triangles, trapezia and parallelograms
4
4
Bearings
4
Circle terminology
4
Circumference of a circle
4
Congruent triangles
5
Derive triangle results
Number
Probability
4
Enlargements and fractional SF
5
Enlargements and negative SF
5
Loci
4
Perimeter of 2D shapes
4
Plans and elevations
4
Polygons
5
Pythagoras
5
Similarity and Congruence
4
Solve geometrical problems
5
Standard constructions
5
Surface Area
5
Trigonometric ratios
4
Vector arithmetic
5
Volume
4
Volume of prisms
4
Adding and subtracting fractions
5
Calculating with fractions
4
Checking calculations
4
Compound measures
4
Converting metric units
5
Error intervals
4
Estimation
4
Fractions and percentages
4
Fractions and ratio problems
5
Index Laws
4
Interpret calculator displays
4
LCM and HCF
5
Limits of accuracy
4
Multiples and factors
4
Multiplying fractions
4
Operations
4
Order of operations
4
Powers
4
Rounding
4
Standard Form
4
Terminating decimals and fractions
4
Mutually exclusive sum
5
Probability of dependent events
5
Probability of independent events
4
Relative Frequency
4
Tables and Grids
4
Theoretical Probability
4
Unbiased Samples
4
Venn Diagrams
4
Ratio and
Proportion
Compare Fractions, Decimals and Percentages
4
Compare lengths, area, volume
4
Comparing quantities as a ratio
5
Compound Units
Statistics
4
Division of a quantity as a ratio
4
Express one quantity as a % of another
5
Gradient & the rate of change
5
Growth and decay
5
Interpret Proportion
5
Percentage change
4
Percentage change
4
Problems involving ratio
5
Problems with compound units
4
Proportion and ratio
4
Ratio and fractions
4
Ratio Sharing
5
Scale factors and similarity
5
Simple Interest and Financial Maths
5
Solve Proportion Problems
4
Comparing data using graphs
4
Comparing Distributions
4
5
Correlation
Histograms with equal class widths
4
Population
4
Sampling
4
Scatter Diagrams
5
Scatter graphs
4
Time series
Grade 6
Topic
Grade
5
Algebraic argument
6
Algebraic fractions
5
Algebraic terminology
5
Cubic and Reciprocal graphs
5
Deduce quadratic roots algebraically
5
Derive an equation
5
Equation of a line
5
Expand the product of two binomials
5
Factorising quadratic expressions
5
Algebra
Geometry &
Measures
Number
Test Title
Fibonacci, quadratic and simple geometric sequences
5
Graphical solution to equations
6
Identifying parallel lines
5
Inequalities on number lines
6
Inverse functions
5
Linear equations
6
Linear inequalities in two variables
6
nth term of a quadratic sequence
6
Quadratic equations (factorisation)
6
Quadratic equations (graphical methods)
5
Quadratic graphs
5
Reciprocal real-life graphs
6
Represent linear inequalities
5
Simplify indices
5
Simplify surds
6
5
Simultaneous equations (linear)
Solve linear inequalities in one variable
5
Writing formulae and expressions
5
Arc lengths and sectors
6
Combined transformations
6
Congruence and Similarity
5
Derive triangle results
5
Enlargements and negative SF
5
Loci
5
Pythagoras
5
Similarity and Congruence
5
Standard constructions
6
Standard trigonometric ratios
5
Surface Area
5
Trigonometric ratios
5
Volume
5
Calculating with fractions
5
Error intervals
6
Finance 1
5
Index Laws
5
Limits of accuracy
Probability
Ratio and
Proportion
Statistics
6
Powers and Roots
6
Product of prime factors
6
Using Pi
5
Probability of dependent events
5
Probability of independent events
5
Compound Units
6
Direct and inverse proportion
5
Gradient & the rate of change
5
Growth and decay
5
Interpret Proportion
5
Percentage change
5
Problems with compound units
5
Scale factors and similarity
5
Simple Interest and Financial Maths
5
Solve Proportion Problems
6
Boxplots
6
5
Cumulative frequency
Histograms with equal class widths
6
Histograms with unequal class widths
6
Quartiles and Interquartile Range
5
Scatter graphs
Grade 7
Topic
Algebra
Geometry &
Measures
Number
Probability
Ratio and
Proportion
Statistics
Grade
Test Title
6
Algebraic fractions
7
Composite functions
7
7
Expand the product of two or more binomials
Factorising difficult quadratic expressions
7
Geometric Sequences
7
Graphs of exponential functions
6
Identifying parallel lines
6
Inverse functions
6
Linear inequalities in two variables
6
nth term of a quadratic sequence
6
Quadratic equations (factorisation)
6
7
Quadratic equations (graphical methods)
Quadratic equations (needing re-arrangement)
7
Quadratic equations (quadratic formula)
7
Real-life exponential graphs
6
Represent linear inequalities
7
Represent quadratic inequalities
6
Simultaneous equations (linear)
7
Simultaneous equations (non-linear)
7
Solve quadratic inequalities
7
Translations and reflections of a function
7
Turning points & completing the square
7
Area of a triangle
6
Combined transformations
6
Congruence and Similarity
7
Cosine Rule
7
Pythagoras and trig 2D and 3D
7
Sine Rule
6
Standard trigonometric ratios
6
Finance 1
7
Index Laws (negative and fractional)
6
Powers and Roots
6
Product of prime factors
7
Product rule
7
Recurring Decimals
7
Upper and lower bounds
6
Using Pi
7
Conditional Probability
6
Direct and inverse proportion
7
General iterative processes
6
Boxplots
6
Cumulative frequency
6
Histograms with unequal class widths
6
Quartiles and Interquartile Range
Grade 8
Topic
Algebra
Geometry &
Measures
Number
Probability
Ratio and
Proportion
Grade
Test Title
8
Algebra and Proof
7
Composite functions
7
Expand the product of two or more binomials
7
Factorising difficult quadratic expressions
7
Geometric Sequences
8
Gradients and area under a graph
7
Graphs of exponential functions
8
Graphs of trigonometric functions
8
Quadratic equations (completing the square)
7
Quadratic equations (needing re-arrangement)
7
Quadratic equations (quadratic formula)
7
Real-life exponential graphs
7
Represent quadratic inequalities
7
Simultaneous equations (non-linear)
7
Solve quadratic inequalities
7
Translations and reflections of a function
7
Turning points & completing the square
7
Area of a triangle
8
Circle theorems
7
Cosine Rule
7
Pythagoras and trig 2D and 3D
7
Sine Rule
8
Vector arguments and proof
7
Index Laws (negative and fractional)
7
Product rule
7
Recurring Decimals
8
Surds
7
Upper and lower bounds
7
Conditional Probability
7
General iterative processes
Grade 9
Topic
Algebra
Geometry &
Measures
Number
Ratio and
Proportion
Grade
Test Title
8
Algebra and Proof
9
Approximate solutions to equations using iteration.
9
Equation of a circle
9
Equation of a tangent
8
Gradients and area under a graph
8
Graphs of trigonometric functions
8
Quadratic equations (completing the square)
8
Circle theorems
8
Vector arguments and proof
8
Surds
9
Gradients and the rate of change
The Language of Maths Exams: What does it all mean?
What they say
Complete
Simplify
Example
Complete this sum... Complete
the following table...Complete
the sentence
Find the sum of...Find the
square root of...
Simplify e + 7e
Solve
Solve 9x = 45
Factorise
Factorise 8x + 12
Work Out
You must show
your working
Calculate
Work out 62
Explain
Explain why this is wrong
Prove
Prove that the perimeter is
3x - 7
Find
Calculate the average speed...
Give the units of
your answer
Describe fully
Describe fully the single
transformation...
NOT TO SCALE
Usually next to
diagrams/drawings
Use ruler and
compasses only in
this question
equidistant
Map (coordinates
& transformations)
Plot
Will map point A onto point B
Plot the graph on the axis
Fill in the gaps
Arrange
Arrange the following...
What they mean
Finish this off for me (Fill in the blanks)
Tell me what the sum of...Tell me the
square root of...
Write as simply as possible/ put this in its
easiest form i.e. e +7e = 8e
Tell me what..(x in this case)...equals i.e.
x=5
Find the highest common factor of both
terms and rewrite the expression with a
bracket.
Tell me what 62 is
If you don’t show your working you won’t
get all the marks for this question!
You will need to do a sum (with or/and
without your calculator) to get the answer
Write down a reason why this is wrong/ tell
me why this is wrong using a reason
Use information you are given and algebra
methods you know to rewrite the
expression in the form given.
Make sure you put down what your answer
is measured in i.e. cm, Km, mm, cm2 , mph,
Km/h, cm3...(you’ll get a mark for this
alone!!)
Write down a full description of what is
happening
i.e. for Enlargement you need to give the
scale factor and the centre of enlargement.
For a Rotation you need to give the centre
of rotation, amount of degrees you are
rotating and the direction (clockwise or
anti-clockwise)
For a Reflection you need to give the
equation of the line you are reflecting in
For a translation (move) you need to give
the column vector (how much you are
moving in the x-direction and y-direction)
You can’t measure the lines/angles on this
shape as they are not drawn accurately!
You will only need to use your ruler and
your compass – make sure you have one of
each!!! If not, ask for one in the exam!
Equal distance
Will move point A to where point B is
Mark each coordinate onto the set of axis
and join up as appropriate.
Anywhere there is a blank space (gap) you
should put an answer
Put in a certain order
ascending
descending
select
equivalent
Explain how to do
it
measure
Draw and label
Select two of these numbers...
Measure the line above...
Measure the angle below...
Draw and label an angle of 50o...
Draw and label a line of 6cm
Give a reason for
your choice
represents
Give your answer
in its simplest form
hence
Hence, solve this...
Give a
mathematical
reason
estimate
Estimate 4.7 x 6.2
Construct
This is a sketch of...
Show that
Show that 13/50 is the same as
26%
Show your working
clearly
Describe
Make one
comment
Describe the correlation...
Make one comment about...
From smallest to biggest
From biggest to smallest
Choose from the given list and use them to
answer the question!
The same
Write down how you would work out the
answer, but don’t actually work it out!
Use your ruler or protractor to find the
length of a line or the size of an angle
Draw the angle/line with your
protractor/ruler and then write the length
of the line/size of the angle on your drawing
Give the answer and then a reason for why
it is the answer (you’ll get a 1 mark for the
answer and 1 mark for the reason in a 2
mark question)
shows
Put your answer as simple as possible. i.e.
for fractions always put your fraction as
simple/small as possible so 3/6 in its
simplest form is 1/2
Using what you have just done, answer this
question
Using your Maths knowledge give a reason
for your answer
Don’t work out exactly but round up the
numbers and then tell me the answer i.e. 5
x 6 = 30
Draw using a ruler and compasses.
This is not drawn accurately so you can’t
just measure the sides/angles to get the
answer. Use the labels in the sketch to
answer the question
Tell us why...
Write down every step of you working out
your answer – you’ll get marks for your
working out
Tell me what the correlation is...Tell me...
tell me one thing you notice about...
Common Mistakes: Foundation and Higher
Common Mistakes: Higher Only
Exam preparation tips
Do not revise, but practice exam questions
The best way to attain your target grade is to practice as many exam style questions as you can; the more exam
questions you do, the better you will do.
Do not practice until you get it right, practice until you cannot get it wrong
Often students think they know a topic, but the only way you know is by getting questions right every time. When
you practice exam questions, always correct your mistakes and learn from them, then a little time later try the
question again and see if you no longer make the same mistake.
To attain your target grade you must not lose marks on easier questions
If you are targetted a grade 5, you must make sure you do not lose marks on questions graded 1 to 4. Practice these
easier questions and make sure you consistently answer them correctly every time. Once you have done this then
look to get as many marks as you can at grade 5. Achieve this and you may even surprise yourself with a grade 6 on
results day!
Know how to use your calculator
We recommend buying the Casio FX-83GT Plus because you can type it in exactly
as you see it and it gives you answers exactly as you should write them. It is freely
available at all supermarkets and major shops. It is essential the calculator is in
the correct mode, be especially careful that it is set to degrees.
You can access a free course to get the best out of your calculator here:
http://the-calculator-guide.teachable.com
Check to see you can get these answers on your calculator:
1) 232 = 529
7)
√21.5
5.8 − 2.36
= 1.347909665
2) 173 = 4913
8)
45.6 ×123
0.34 2 −0.282
= 150774.1935
3) 67 = 279936
9)
√2.52 +3.75
4) √576 = 24
6)
2.54 × 3.17
= 1.437398936
10) sin35 = 0.573576436
5) ∛46656 = 36
13.7+5.86
3.9−1.7
11) cos-10.6 = 53.13010235
=2.429271474
12)
60+1
√ tan
tan 60−1
= 1.931851653
Key Number Skills
•
•
•
•
Divide by ½ is the same as Multiply by 2
Divide by 2 is the same as multiply by ½
Divide by ¼ is the same as Multiply by 4
Divide by 4 is the same as multiply by ¼
Dividing by a smaller number gives bigger answers!
• 100 ÷ 10 = 10
• 100 ÷ 1 = 100
• 100 ÷ 0.1 = 1 000
• 100 ÷ 0.01 = 10 000
Revision websites
There are many websites out there, but the best ones for revision are the following:
The PiXL Maths App
You can download this on your phone and practice questions on the move and you can check your progress. You will
need a login, which we have signed you up for, if you do not have it yet then see your class teacher or Mr Russell.
Maths Genie: www.mathsgenie.co.uk
Maths Genie is a free website where you can find exam questions, youtube revision clips and fully worked solutions.
Maths Watch: https://vle.mathswatch.com
You can visit the website or download this on your phone where you can watch revision clips and practice questions
with complete solutions. You will need a login, which we have signed you up for, if you do not have it yet then see
your class teacher or Mr Russell.
Other useful websites
Mr Barton Maths: www.mrbartonmaths.com
Corbett Maths: www.corbettmaths.com
Just Maths: www.online.justmaths.co.uk
MyPortal username: Parksidestudents
MyPortal password: Parkside
SamLearning: www.samlearning.com