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Edexcel C3
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Personalised Revision Tool for
Edexcel C3
Aims
This Revision Tool aims to make your revision smarter and more effective. It aims
to:-
Identify gaps in your understanding and knowledge.
Give a short summary & example for each sub-topic.
Provide hyperlinks to MyMaths lessons for most sub-topics.
Using the short tests
There are 2 mini-assessments for each sub-topic.
Use the first test to identify which topics you need to work on. If you get a good
mark you will not need to use the second test on this topic.
Use the second test to measure the level of improvement after remedial work has
been undertaken.
This PRT is not a substitute for, or an alternate to, doing past papers.
A programme of completing whole past papers is essential for success.
Edexcel C3
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Topic Sub-topic with link to examples MyMaths T1 A1 T2 A2
1 Algebra & Functions
1.1 Rationalising
expressions
Rationalising expressions
1.2
Transformations Functions and mappings
Transformation of functions.
The modulus function & inequalities
Sketching curves
1.3 Composite functions
Composite functions
1.4 Inverse functions
Inverse functions
Inverse trig functions
2 Trigonometry
2.1 The Reciprocal
Functions
The Reciprocal Functions
2.2 The Compound and
Double angle formulae
Compound angle formulae
Double angle formulae
2.3 The forms
rcos(x+/-y), rsin(x+/-y)
The forms rcos(x+/-y), rsin(x+/-y)
3 Exponentials & Logarithms
3.1 Definitions , equations
& graphs
Laws of logarithms
Definitions
Solving equations
Graphs
3.2 Modelling Modelling with exponential functions
4 Differentiation
4.1 The Chain Rule The chain rule
Rates of Change
Exponentials & logs
Trigonometric functions
4.2 The Product Ruke The Product Rule
4.3 The Quotient Rule The Quotient Rule
5 Numerical Methods
5.1 Numerical Methods Change of sign methods
Iterative Methods
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1.1 Rationising Expressions
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1.2 Functions and mappings
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Transformation of graphs
Example 1
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Example 2 Combined Transformations
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1.3 Composite functions
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1.4 Inverse functions
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The inverse trig functions
The inverse trig functions only exist when we restrict the domain of the original functions. So that they
become 1:1 mappings
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The modulus function and inequalities
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Curve Sketching
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2.1 The Reciprocal Functions
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2.2 The Compound & Double Angle Formulae
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2.3 The forms r cos(x +/- y), r sin(x +/- y)
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Laws of Logarithms
3.1 Definitions, equations & graphs
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Definitions & Graphs
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3.2 Modelling with exponential functions
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4.1 The Chain Rule
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4.2 The Product Rules
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4.3 The Quotient Rule
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Exponentials & Logs
Further example
Trig Functions
Further example
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Change of Sign Methods
To find the root of a function f(x), if
f(a) > 0
f(b) < 0
and the function is continuous, then there is a root between a and b.
We can narrow this down by successively halving the size of the interval, until we get an answer to the
required accuracy.
Example
We can continue this method indefinitely, to whatever accuracy we require
This method is useful for confirming the existence of a root between two given values. It
can be unreliable however, sometimes failing to find a root(s) when they are very close
together, or ‘finding’ a root that doesn’t exist.
5.1 Numerical Methods
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Iterative Methods
(there are many other re-arrangements you could have done)
Then start at any value (it will be given in the question; here we use x=0, and show 3
iterations)
This method continues until it converges on the solution x = 0.276 (to 3 dp)
Iterative methods will often fail to find the root for given re-arrangements. If this is the
case, you must try a different re-arrangement.
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1.1 Rationalising expressions/solving equations 1
Question 1
Question 2
Question 3
Total / 10
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1.2 Transformations 1
Question 1
(5) Question 1 insert
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Question 2
Question 3
Total / 16
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1.3 Composite Functions 1
Question 1
Question 2
Total / 10
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1.4 Inverse Functions 1
Question 1
Question 2
Total / 10
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2.1 The Reciprocal Functions 1
Question 1
Question 2
Total / 10
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2.2 Compound & Double-angle formulae 1
Question 1
Question 2
Total / 10
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2.3 The forms rcos(x+/-y), rsin(x+/-y) 1
Question 1
Question 2
Total / 12
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3.1 Log Equations & Graphs 1
Question 1
Question 2
Total / 10
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3.2 Modelling 1
Question 1
Question 2
Total / 14
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4.1 The Chain Rule 1
Question 1
Question 2
Question 3
Total / 15
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4.2 The Product Rule 1
Question 1
Question 2
Total / 10
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4.3 The Quotient Rule 1
Question 1
Question 2
Total / 10
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5.1 Numerical Methods 1
Question 1
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Question 2
Total / 10
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1.1 Rationalising expressions/solving equations 1 sol
Question 1
Question 2
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Question 3
Total / 10
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1.2 Transformations 1 Solutions
Question 1
(5) Question 1 insert
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Question 2
Question 3
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Total / 16
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1.3 Composite Functions 1 Solutions Question 1
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Question 2
Total / 10
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1.4 Inverse Functions 1 Solutions
Question 1
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Question 2
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Total / 10
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2.1 The Reciprocal Functions 1 Solutions Question 1
Question 2
Total / 10
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2.2 Compound & Double-angle formulae 1 Sols
Question 1
Question 2
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Total / 10
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2.3 The forms rcos(x+/-y), rsin(x+/-y) 1 Solutions
Question 1
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Question 2
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Total / 12
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3.1 Log Equations & Graphs 1 Solutions
Question 1
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Question 2
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Total / 10
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3.2 Modelling 1 Solutions
Question 1
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Question 2
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Total / 14
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4.1 The Chain Rule 1 Solutions
Question 1
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Question 2
Question 3
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Total / 15
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4.2 The Product Rule 1 Solutions
Question 1
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Question 2
Total / 10
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4.3 The Quotient Rule 1 Solutions
Question 1
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Question 2
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Total / 10
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5.1 Numerical Methods 1 Solutions
Question 1
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Question 2
Total / 10
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1.1 Rationalising expressions/solving equations 2
Question 1
(3)
(3)
Question 2
(4)
Total / 10
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1.2 Transformations 2
Question 1
Question 2
(7)
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(2)
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Question 3
Total / 15
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1.3 Composite Functions 2
Question 1
Question 2
(4)
Total / 10
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1.4 Inverse Functions 2
Question 1
Question 2
Total / 10
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2.1 The Reciprocal Functions 2
Question 1
Question 2
Question 3
Total / 12
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2.2 Compound & Double-angle formulae 2
Question 1
Question 2
(3)
Total / 10
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2.3 The forms rcos(x+/-y), rsin(x+/-y) 2
Question 1
Question 2
Total / 13
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3.1 Log Equations & Graphs 2
Question 1
Question 2
Question 3
Solve
(3)
Total / 10
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3.2 Modelling 2
Question 1
Question 2
Total / 14
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4.1 The Chain Rule 2
Question 1
Question 2
Question 3
(3)
Total / 15
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4.2 The Product Rule 2
Question 1
(4)
Question 2
(3)
Question 3
Total / 10
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4.3 The Quotient Rule 2
Question 1
Question 2
(2)
Total / 10
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5.1 Numerical Methods 2
Question 1
Total / 8
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1.1 Rationalising expressions/solving equations 2 sol
Question 1
(3)
(3)
Question 2
(4)
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Total / 10
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1.2 Transformations 2 Solutions
Question 1
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Question 2
(7)
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Question 3
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Total / 15
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1.3 Composite Functions 2 Solutions
Question 1
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Question 2
(4)
Total / 10
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1.4 Inverse Functions 2 Solutions
Question 1
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Question 2
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Total / 10
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2.1 The Reciprocal Functions 2 Solutions
Question 1
Question 2
Question 3
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Total / 12
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2.2 Compound & Double-angle formulae 2 Sols
Question 1
Question 2
(3)
Total / 10
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2.3 The forms rcos(x+/-y), rsin(x+/-y) 2 Solutions
Question 1
Question 2
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Total / 13
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3.1 Log Equations & Graphs 2 Solutions
Question 1
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Question 2
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Question 3
Solve
(3)
Total / 10
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3.2 Modelling 2 Solutions
Question 1
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Question 2
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Total / 14
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4.1 The Chain Rule 2 Solutions
Question 1
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Question 2
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Question 3
(3)
Total / 15
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4.2 The Product Rule 2 Solutions
Question 1
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Question 2
(3)
Question 3
Total / 10
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4.3 The Quotient Rule 2 Solutions
Question 1
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Question 2
(2)
Total / 10
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5.1 Numerical Methods 2 Solutions
Question 1
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Total / 8