A Level Math Paper 1 (P1) complete revision

A complete revision of Cambridge A Level Math 9709 Paper 1 (Pure Mathematics 1) in one video. For each topic, it goes through the key concepts and the types of questions you meet in the exam.

It is a long video, so use the chapter list to jump straight to the topic you want.

Chapters

Press a chapter and the video starts at that topic.

1. 0:00Binomial ExpansionThe binomial formula for expanding (a + b) to a power, using your calculator for the nCr values, finding a particular term or coefficient, expansions inside products, and ascending and descending powers.Quiz
2. 46:50Arithmetic and Geometric ProgressionsThe nth term and sum formulas for both, summing terms from the middle of a sequence, sum to infinity and when a geometric progression converges, and questions that link an AP and a GP.Quiz
3. 1:31:14Coordinate GeometryMidpoints and perpendicular bisectors, areas of triangles and other shapes from their coordinates, the area of a rhombus or kite, and the angle a line makes with the x-axis.Quiz
4. 2:17:21Equation of a CircleBoth forms of the circle equation, finding the centre and radius, the circle properties used in exam questions, a circle through three points, nearest and furthest points, and tangents.Quiz
5. 2:59:00QuadraticsRoots and graphs, completing the square, the discriminant, where a line meets a curve, equations that turn into quadratics, quadratic inequalities, and the trickier “for all values of x” questions.Quiz
6. 3:59:24FunctionsDomain and range, one-to-one and many-to-one relations, inverse functions and how their domain and range swap, restricting a domain, and composite functions.Quiz
7. 5:32:55Circular MeasureRadians and the definition of a radian, arc length and sector area, and the multi-part “show that” questions that combine sectors with triangles.Quiz
8. 5:58:10TrigonometryExact values, solving equations in a given interval, the identities in the syllabus, equations with 2x inside, and sketching trigonometric graphs to solve equations and inequalities.Quiz
9. 7:22:52Function TransformationsReflections, translations and stretches, working out which transformation turned one graph into another, and how transformations change trigonometric graphs.Quiz
10. 8:21:22DifferentiationGradients of curves and notation, stationary points and their nature, increasing and decreasing functions, connected rates of change, and tangents and normals.Quiz
11. 9:18:28IntegrationReversing differentiation and the constant of integration, definite integrals as area, area between two curves, and improper integrals with an infinite limit.Quiz

How to use this video

1. Pick the topic you want to revise and start there, rather than watching from the top.
2. Pause before each worked question and try it yourself first.
3. Note any topic that still feels shaky, then practise it with topical past paper questions.