Master the hardest parts of GCSE and IGCSE and get ahead with Alevel maths topics.
All teaching sections (over 70 videos) and the first worksheet and video solutions are included in the free preview section. Sign up now with no payment details needed!

Suitable for all Alevel exam boards.

Learn by doing  as well as video introductions, each of the 25 modules contains an original downloadable worksheet designed to lead you through interesting and challenging problems, all with full video solutions.

Content is divided into 5 themes/topic areas each with 5 sections specifically chosen to be the most useful to prepare for Alevel.

The course has been designed to be studied 2 hours per day over 5 weeks or 5 hours per day as an intensive 2 week course, though keen students may want to take longer to work through the most challenging problems.

Each worksheet has a range of easier and harder questions as well as some 'starred' questions to stretch the strongest students.

Watch the video introduction below for more information!
Sign up now for the full course now or start with the free preview using the button above.

£79.00
£79.00Get ready for Alevel maths
1 Year enrolment 
£119.00
£119.00Get ready for Alevel maths
2 Year enrolment 
£149.00
£149.00Get ready for Alevel maths
Unlimited enrolment
Course curriculum
Free preview includes teaching videos for all 25 modules.

2
Week 1: A: Index laws, including negative and fractional indices

Rules of indices 1  Integer powers
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Rules of indices 2  Fractional powers
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Rules of indices 3  Examples
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Worksheet A1: Index laws, including negative and fractional indices
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Question 1 Solution
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Question 2 Solution
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Question 3 Solution
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Question 4 Solution
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Question 5 Solution
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Question 6 Hint
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Question 6 Solution
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Question 7 Hint
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Question 7 Solution
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Question 8 Hint
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Question 8 Solution
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Sign up for the full course now!
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A few questions...
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3
Week 1: B: Factorising quadratics and disguised quadratics

Factorising quadratics
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Factorising examples
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Disguised quadratics
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Worksheet B1: Factorising quadratics and disguised quadratics

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6 Hint

Question 6

Question 7 Hint

Question 7

Question 8 Hint

Question 8


4
Week 1: C: Intro to coordinate geometry

Distance between two points
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Midpoint of two points
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Gradient of a line segment
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Parallel and perpendicular lines
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Worksheet C1: Intro to coordinate geometry

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8 Hint

Question 8

Question 9 Hint

Question 9


5
Week 1: D: Sine and cosine rules and area of a triangle

Sine rule 1
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Sine rule 2  the ambiguous case
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Cosine rule
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Area of a triangle
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Bearings
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Worksheet D1: Sine and cosine rules and area of a triangle

Question 1 abc

Question 1 def

Question 2

Question 3

Question 4

Question 5

Question 6 hint

Question 6

Bouns: Proof of sine and cosine rules (Mathsaurus YouTube)


6
Week 1: E: Introduction to sequences

Linear sequences
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Quadratic sequences
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Geometric sequences
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Intro to the worksheet

Worksheet E1: Introduction to sequences

Question 1abc

Question 1 def

Question 1 ghi

Question 1 jkl

Question 1 mno


7
Week 2: A: Surds  Introduction and simple rationalising

Simplifying surds
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Multiplying out surd expressions
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Rationalising simple surd expressions
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Worksheet A2: Surds  Introduction and simple rationalising

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6 hint

Question 6

Question 7 Hint

Question 7

Question 8 hint

Question 8

Question 9 hint

Question 9


8
Week 2: B: Completing the square and the graph of a quadratic

Completing the square
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Solving equations using completed square form
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The graph of a quadratic
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Using the calculator
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Worksheet B2: Completing the square and the graph of a quadratic

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6 hint

Question 6


9
Week 2: C: Straight lines and their equations

The equation of a straight line in the form yy1=m(xx1)
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Other forms of the equation of a straight line
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Finding a perpendicular line
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Worksheet C2: Straight lines and their equations

Question 1

Question 2

Question 3

Question 4

Question 5 Hint

Question 5

Question 6 Hint

Question 6

Question 7 Hint

Question 7

Question 8 Hint

Question 8


10
Week 2: D Solving trig equations for any angles

Solving equations involving sin(x) for any angle
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Solving equations involving cos(x) for any angle
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Solving equations involving tan(x) for any angle
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Worksheet D2: Solving trig equations for any angles

Question 1

Question 2

Question 3

Question 4 hint

Question 4

Question 5 hint

Question 5


11
Week 2: E: Iterative sequences and sigma notation for summing series

Formal notation for sequences
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Sigma notation for summing series
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Worksheet E2  Iterative sequences and sigma notation for summing series

Question 1

Question 2

Question 3

Question 4

Question 5 Hint

Question 5

Question 6 Hint

Question 6


12
Week 3: A: Surds  Harder rationalising

Difference of two squares for surds
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Harder rationalising of surds
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Worksheet A3  Harder rationalising

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7 Hint

Question 7

Question 8 Hint

Question 8


13
Week 3: B: The discriminant of a quadratic

The discriminant of a quadratic
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Repeated roots
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Worksheet B3  The discriminant of a quadratic

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8 Hint

Question 8

Question 9 Hint

Question 9


14
Week 3: C: Differentiating polynomials

Differentiating single term polynomials
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Differentiating general polynomials
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The second derivative
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Harder examples
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Worksheet C3  Differentiating polynomials

Question 1

Question 2

Question 3

Question 4 Hint

Question 4

Question 5 Hint

Question 5

Question 6 Hint

Question 6

Question 7 Hint

Question 7


15
Week 3: D: Exact trigonometric ratios

Exact values of sin cos and tan
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Exact values beyond 90 degrees
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Worksheet D3  Exact trigonometric ratios

Question 1

Question 2

Question 3

Question 4 hint

Question 4

Question 5


16
Week 3: E: Arithmetic progressions and their sums

Arithmetic Progressions
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Sums of Arithmetic Progressions
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Worksheet E3  Arithmetic progressions and their sums

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8 hint

Question 8

Question 9 hint

Question 9


17
Week 4: A: Introduction to logarithms

Introduction to logarithms
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Logarithms as an inverse function
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Harder Examples
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Worksheet A4  Introduction to logarithms

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7 hint

Question 7

Question 8 hint

Question 8


18
Week 4: B: Sketching the graphs of polynomials from their roots

Sketching polynomials from their roots
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Polynomials with repeated roots
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The shape of standard polynomials
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Worksheet B4  Sketching the graphs of polynomials from their roots

Question 1

Question 2

Question 3abcd

Question 3efgh

Question 4 hint

Question 4

Question 5 hint

Question 5

Question 6 hint

Question 6


19
Week 4: C: Finding tangents and normals

Finding tangents
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Finding normals
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Worksheet C4  Finding tangents and normals

Question 1

Question 2

Question 3

Question 4

Question 5 hint

Question 5

Question 6 hint

Question 6


20
Week 4: D: Solving harder trig equations

Harder trig equations part 1
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Harder trig equations part 2
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Worksheet D4  Solving harder trig equations

Question 1

Question 2

Question 3 hint

Question 3

Question 4 hint

Question 4

Question 5 hint

Question 5


21
Week 4: E: Geometric progressions

Geometric progressions
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GPs and APs compared
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Finding the number of terms using logs
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Worksheet E4  Geometric progressions

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8 hint

Question 8

Question 9 hint

Question 9


22
Week 5: A: The rules of logarithms

The addition rule of logarithms
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The subtraction rule of logarithms
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The power rule for logarithms
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Worksheet E1  The rules of logarithms

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6 hint

Question 6

Question 7 hint

Question 7


23
Week 5: B: Quadratic (and other) inequalities

Quadratic inequalities
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Harder quadratic inequalities
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Polynomial inequalities
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Worksheet B5  Quadratic (and other) inequalities

Question 1

Question 2

Question 3

Question 4

Question 5 hint

Question 5

Question 6 hint

Question 6

Question 7 hint

Question 7


24
Week 5: C: Differentiation with fractional and negative indices

Differentiation with fractional and negative indices
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Finding a tangent involving fractional and negative indices
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Worksheet C5  Differentiation with fractional and negative indices

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6 hint

Question 6

Question 7 hint

Question 7


25
Week 5: D: Using trig identities to solve equations

tanx=sinx/cosx
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sin^2(x)+cos^2(x)=1
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Example using tanx=sinx/cosx
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Example using sin^2(x)+cos^2(x)=1
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Worksheet D5  Using trig identities to solve equations

Question 1

Question 2

Question 3 hint

Question 3

Question 4 hint

Question 4


26
Week 5: E: The sum of a geometric progression

Finite sums of geometric progressions
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Infinite sums of geometric progressions
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Worksheet E5  The sum of a geometric progression

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8 hint

Question 8

Course reviews
Sine and Cosine Rules
Joseph Donovan
A challenging topic delivered with searing exposition and clarity. Makes you fall in love with maths and want to do nothing all day but maths!
A challenging topic delivered with searing exposition and clarity. Makes you fall in love with maths and want to do nothing all day but maths!
Read LessTeacher
Kevin Olding
FAQ

Is this course suitable for a student who has already taken IGCSE Further Maths or OCR FSMQ Add Maths?
No  much of the content of this course is also covered in these qualifications. The course has been designed to give most benefit to a student who has just taken GCSE or IGCSE maths and is preparing for Alevel or any course that follows directly on from GCSE. It would be a great course for someone about to take one of these qualifications though, so long as they have mostly covered GCSE/GCSE maths already.

How long will my enrolment last?
Access to the course lasts for one year or two years depending on the option chosen.

I have another question you have not answered here
Please use the email link in my instructor bio below to get in touch.