Self-paced course

9709 Pure 1

Cambridge International AS Level Mathematics (9709) Paper 1, taught topic by topic: a video lesson for every idea, a practice quiz at the end of each topic, and an end-of-course test in the style of the paper.

  • 22 video lessons
  • 9 practice quizzes
  • 5 h 55 min of video
  • 4 free previews
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What is covered.

The full course syllabus, in the order it is taught. Open any topic to see its lesson sequence.

01Quadratics3 videos · 1 quiz · 1 h 39 min
  1. 1.1Completing the squareFree preview
  2. 1.2The discriminant and the number of roots
  3. 1.3Quadratic inequalities
  4. 1.4Quadratics — practice quiz
02Functions3 videos · 1 quiz · 38 min
  1. 2.1Domain, range and mappingsFree preview
  2. 2.2Composite functions
  3. 2.3Inverse functions and their graphs
  4. 2.4Functions — practice quiz
03Coordinate geometry3 videos · 1 quiz · 39 min
  1. 3.1Gradient, midpoint and length
  2. 3.2Parallel and perpendicular lines
  3. 3.3The equation of a circle
  4. 3.4Coordinate geometry — practice quiz
04Circular measure3 videos · 1 quiz · 35 min
  1. 4.1RadiansFree preview
  2. 4.2Arc length and sector area
  3. 4.3Segments and mixed problems
  4. 4.4Circular measure — practice quiz
05Trigonometry3 videos · 1 quiz · 42 min
  1. 5.1Graphs of sin, cos and tan
  2. 5.2Exact values and identities
  3. 5.3Solving trigonometric equations
  4. 5.4Trigonometry — practice quiz
06Series3 videos · 1 quiz · 40 min
  1. 6.1The binomial expansion
  2. 6.2Arithmetic progressions
  3. 6.3Geometric progressions and the sum to infinity
  4. 6.4Series — practice quiz
07Differentiation2 videos · 1 quiz · 30 min
  1. 7.1The derivative from first principlesFree preview
  2. 7.2Tangents, normals and stationary points
  3. 7.3Differentiation — practice quiz
08Integration2 videos · 1 quiz · 32 min
  1. 8.1Integration as the reverse of differentiation
  2. 8.2Areas and volumes of revolution
  3. 8.3Integration — practice quiz
09Course test1 quiz
  1. 9.1End-of-course test

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