# Further Mathematics Level 2 AQA Topics

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Bethgordon

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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

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

(Original post by

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

**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

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Bethgordon

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Thank you so much for this! But do you know which topics are likely to come up on the non calculator paper on Monday?

**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?

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username1479085

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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.

**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.

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Rainbowhorror01

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Same! Alright thanks once you do, let me know!

**latenightmadness**)Same! Alright thanks once you do, let me know!

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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OGGUS

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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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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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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.

**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.

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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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