A-Level Maths: Year 1 Pure

Ages 16-18

A-Level Maths - Year 1 and AS Pure

NOTE: This course is not yet complete but all topics in the course curriculum below are available now and more will be added soon.

This course will teach you all of the pure maths you need to know for Year 1 or A-Level maths (or the complete AS level maths). Each chapter has:

Comprehensive teaching videos on every topic
Worksheets with either written or video solutions to all questions
Suitable for all exam boards

Start my 3-day free trial now!

Course Curriculum

This course is not yet complete but all topics in the course curriculum below are available now and more will be added soon.

Welcome to the course!

Sine rule 1

Sine rule 2 - the ambiguous case

Cosine rule

Area of a triangle

Bearings

Worksheet: 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)

Solving equations involving sin(x) for any angle

Solving equations involving cos(x) for any angle

Solving equations involving tan(x) for any angle

Worksheet: Solving trig equations for any angles

Question 1

Question 2

Question 3

Question 4 hint

Question 4

Question 5 hint

Question 5

Exact values of sin cos and tan

Exact values beyond 90 degrees

Worksheet D3 - Exact trigonometric ratios

Question 1

Question 2

Question 3

Question 4 hint

Question 4

Question 5

Harder trig equations part 1

Harder trig equations part 2

Worksheet - Solving harder trig equations

Question 1

Question 2

Question 3 hint

Question 3

Question 4 hint

Question 4

Question 5 hint

Question 5

tanx=sinx/cosx

sin^2(x)+cos^2(x)=1

Example using tanx=sinx/cosx

Example using sin^2(x)+cos^2(x)=1

Worksheet - Using trig identities to solve equations

Question 1

Question 2

Question 3 hint

Question 3

Question 4 hint

Question 4

Differentiating single term polynomials

Differentiating general polynomials

The second derivative

Worksheet - 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

Finding tangents

Finding normals

Worksheet - Finding tangents and normals

Question 1

Question 2

Question 3

Question 4

Question 5 hint

Question 5

Question 6 hint

Question 6

Differentiation with fractional and negative indices

Finding a tangent involving fractional and negative indices

Worksheet - 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

Introduction to logarithms

Logarithms as an inverse function

Harder Examples

Worksheet - Introduction to logarithms

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7 hint

Question 7

Copy of Question 8 hint

Copy of Question 8

The addition rule of logarithms

The subtraction rule of logarithms

Question 3

Question 4

Question 5

Question 6 hint

Question 6

Question 7 hint

Question 7

Teacher - Dr Kevin Olding

Kevin Olding is the creator of Mathsaurus. He has a First Class MMATH Mathematics degree from Magdalen College, Oxford and a PhD from the University of Bath, as well as an MSc in Applied Statistics from Birkbeck, University of London (Distinction and prize for best overall performance), an MRes in Statistical Applied Mathematics from the University of Bath, and a degree in Law.

Before creating Mathsaurus, Kevin taught maths in London at Westminster School and Dulwich College and also at Birkbeck College (University of London).