Further Mathematics Level 2 AQA Topics

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Bethgordon
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#1
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#1
Heres everything that is in the AQA certificate in Further Mathematics textbook:

Algebra-
Numbers and the number system
Simplifying expressions
Solving linear equations
Algebra and number
Expanding brackets
Manipulating surds
Factorising
Rearranging formulae
Simplifying algebraic fractions
Solving equations involving fractions
Quadratic identities
Function notation
Domain and range of a function
Graphs of functions
Graphs of linear functions
Finding the equation of a line
Graphs of quadratic functions
Graphs of functions with up to three parts to their domains
Quadratic equations
Simultaneous equations
Factor theorem
Linear inequalities
Quadratic inequalities
Index laws
Algebraic proof
Sequences

Geometry-
Parallel and perpendicular lines
The distance between two points
The midpoint of a line joining two points
Equation of a straight line
The interaction of two lines
Dividing of a line in a given ratio
Equation of a circle
Mensuration
Pythagoras’ theorem
Angle facts
Circle Theorems
Geometric proof
Trigonometry in two dimensions
Angles of 45º, 30º and 60º
Problems in three dimensions
Lines and planes in three dimensions
Trigonometrical functions for angles of any size
The sine and cosine graphs
The tangent graphs
The area of a triangle
The sine rule
The cosine rule
Using the sine and cosine rules together
Solution of trigonometrical equations
Trigonometrical identities

Calculus-
The gradient of a curve
Differentiation
Differentiation using standard results
Tangents and normals
Increasing and decreasing functions
Stationary points

Matrices-
Multiplying matrices
Transformations
Identity matrix
Transformations of the unit square
Combining transformations
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username1479085
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#2
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(Original post by Bethgordon)
Heres everything that is in the AQA certificate in Further Mathematics textbook:

Algebra-
Numbers and the number system
Simplifying expressions
Solving linear equations
Algebra and number
Expanding brackets
Manipulating surds
Factorising
Rearranging formulae
Simplifying algebraic fractions
Solving equations involving fractions
Quadratic identities
Function notation
Domain and range of a function
Graphs of functions
Graphs of linear functions
Finding the equation of a line
Graphs of quadratic functions
Graphs of functions with up to three parts to their domains
Quadratic equations
Simultaneous equations
Factor theorem
Linear inequalities
Quadratic inequalities
Index laws
Algebraic proof
Sequences

Geometry-
Parallel and perpendicular lines
The distance between two points
The midpoint of a line joining two points
Equation of a straight line
The interaction of two lines
Dividing of a line in a given ratio
Equation of a circle
Mensuration
Pythagoras’ theorem
Angle facts
Circle Theorems
Geometric proof
Trigonometry in two dimensions
Angles of 45º, 30º and 60º
Problems in three dimensions
Lines and planes in three dimensions
Trigonometrical functions for angles of any size
The sine and cosine graphs
The tangent graphs
The area of a triangle
The sine rule
The cosine rule
Using the sine and cosine rules together
Solution of trigonometrical equations
Trigonometrical identities

Calculus-
The gradient of a curve
Differentiation
Differentiation using standard results
Tangents and normals
Increasing and decreasing functions
Stationary points

Matrices-
Multiplying matrices
Transformations
Identity matrix
Transformations of the unit square
Combining transformations
Thank you so much for this! But do you know which topics are likely to come up on the non calculator paper on Monday?
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Bethgordon
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#3
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#3
(Original post by latenightmadness)
Thank you so much for this! But do you know which topics are likely to come up on the non calculator paper on Monday?
You're very welcome & sorry I don't i've been trying to find somebody who does but I can't, hoping somebody that does comes along.
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username1479085
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#4
(Original post by Bethgordon)
You're very welcome & sorry I don't i've been trying to find somebody who does but I can't, hoping somebody that does comes along.
Same! Alright thanks once you do, let me know!
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Rainbowhorror01
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(Original post by latenightmadness)
Same! Alright thanks once you do, let me know!
My maths teacher says they really like things that require knowledge of how consecutive numbers work, for example why (n)(n-1)(n+1) is a multiple of 6. Finding a point on a line using ratios is also a popular topic, as is understanding and application of how circle equations work. The cosine rule usually comes up, as does circle theorem.
I've never seen a paper without a section on using indices rules, and often sketching cubic graphs comes up, including using the factor theorem and being able to determine whether a point is a minimum or a maximum. Finding the tangent and normal are also frequently occuring topics, and being able to rearrange and solve equations with sin or cos in them comes up a lot, eg,
solve: 5sin^2x - 2sinx = 0 for 0 =< x =< 360. Matrices will appear on at least one paper, usually with an understanding of how to manipulate a unit square.

Generally, the questions are largely shape based with triangles frequently appearing. Things such as solving simultaneous equations from matrices often comes up a lot as well and they ask you to draw the graphs of functions a lot using inequalities.
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OGGUS
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#6
How are you guys finding it?
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OGGUS
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#7
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#7
I'm super good at GCSE Maths but this qualification just feels like impossible getting anything above an A.
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OGGUS
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#8
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#8
You can probably guess what comes up in the paper from the topics that are in all the paper 1s including the practice papers on mr barton maths
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username1479085
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#9
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#9
(Original post by Rainbowhorror01)
My maths teacher says they really like things that require knowledge of how consecutive numbers work, for example why (n)(n-1)(n+1) is a multiple of 6. Finding a point on a line using ratios is also a popular topic, as is understanding and application of how circle equations work. The cosine rule usually comes up, as does circle theorem.
I've never seen a paper without a section on using indices rules, and often sketching cubic graphs comes up, including using the factor theorem and being able to determine whether a point is a minimum or a maximum. Finding the tangent and normal are also frequently occuring topics, and being able to rearrange and solve equations with sin or cos in them comes up a lot, eg,
solve: 5sin^2x - 2sinx = 0 for 0 =< x =< 360. Matrices will appear on at least one paper, usually with an understanding of how to manipulate a unit square.

Generally, the questions are largely shape based with triangles frequently appearing. Things such as solving simultaneous equations from matrices often comes up a lot as well and they ask you to draw the graphs of functions a lot using inequalities.
THANK YOU so much
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OGGUS
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#10
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#10
One thing that is suppose to come in the exam is matrix transformations, trigonometric proof, nth term, differentiation, graph related questions, trigonometry(need to remember trig values), factor theorem and Pythagoras' theorem definitely going to come. Mostly coming as they are examiner's favourite questions. and surds too
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