OCR Add Maths FSMQ

OCR Add Maths FSMQ

Below you can see videos arranged according to the chapters in the textbook. There is another page with past papers here.

Chapter 1 Algebraic manipulation

1. Simplifying algebraic fractions
2. Multiplying and dividing algebraic fractions
3. Adding and subtracting algebraic fractions
4. Equations with algebraic fractions
5. Intro to surds and taking out square factors
6. Multiplying surds
7. Rationalising surd denominators

Buy the official course textbook, exam practice questions and revision guide here (Amazon affiliate links):

Textbook (Amazon)

Exam Practice (Amazon)

Revision Notes (Amazon)

Chapter 2 Polynomials, functions and equations

1. The factor theorem
2. The remainder theorem
3. Extended factor and remainder theorems
4. The Discriminant
5. Completing the square (monic)
6. Completing the square (non-monic)
7. Completing the square (general)
8. Advanced quadratics (inc proof of the formula)

Chapter 3 Applications of equations and inequalities in one variable

1. Linear simultaneous equations
2. Quadratic simultaneous equations
3. Inequalities (linear and quadratic)

Chapter 4 Sequences and recurrence relationships

1. Intro to sequence notation

Chapter 5 Points, lines and circles

1. Midpoint of two points
2. Dividing points in a ratio
3. Distance between two points
4. Equation of a circle
5. Finding the centre and radius

Chapter 6 Graphs

1. Equations of straight lines
2. Factorising and sketching cubics

Chapter 7 Linear inequalities in two variables

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Chapter 8 Trigonometric functions

1. Graphs of sin cos and tan using the unit circle
2. Cosine rule
3. Sine rule including the ambiguous case
4. Proof of sine and cosine rules
5. Proving two useful trig identities
6. Using identities to solve equations

Chapter 10 Permutations and Combinations

1. Ordering n objects in a line
2. Some objects the same
3. Choosing n objects from r

Chapter 11 The binomial distribution

1. Intro to binomial expansions with examples
2.* Powers of 11 in Pascal's triangle
3.* Powers of 2 in Pascal's triangle
4. nCr and Pascal's triangle
5. Harder binomial problems
6.* Sums of squares of rows
7.* Binomial expansions and binomial probabilities
8. Binomial probabilities (exam questions)

Chapter 14 Differentiation

1. Introduction to differentiation
2. Differentiating polynomials
3. Harder examples
4. Equation of a tangent
5. Equation of a normal

Chapter 15 Integration

1. Introduction to integration
2. Integration examples
3. Integration to find areas
4*. Proof that integration relates to finding areas
5. Examples of integration to find areas
6. Area below (or partly below) the x axis
7. Area between two curves

Chapter 16 Applications to Kinematics

0. Introduction to mechanics at A-level
1. Constant acceleration formulae (suvat equations)
2*. Deriving the suvat equations
3. Suvat equations examples
4. Free fall under gravity
5. Using differentiation to find velocity and acceleration
6. Using differentiation and integration to solve 1d kinematics problems

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Topic playlists on YouTube

The videos above are also grouped into YouTube playlists, if you would rather work through them there.

Quadratics	YouTube Playlist
Polynomials, Factor and Remainder Theorems	YouTube Playlist
Straight Lines and Circles	YouTube Playlist
Trigonometry, Sine and Cosine Rules	YouTube Playlist
Trigonometric Identities and Equations	YouTube Playlist
Differentiation	YouTube Playlist
Integration	YouTube Playlist
1d Kinematics and SUVAT equations	YouTube Playlist
Past Paper Exam Questions by Topic	YouTube Playlist