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A- Level Maths : Pure (Paper 1)
Rating: 4.4 out of 5(3 ratings)
251 students

A- Level Maths : Pure (Paper 1)

Master A-level maths (first year)
Created bySandeep Kumar Mathur
Last updated 5/2026
English

What you'll learn

  • Solving inequations
  • Knowledge of Functions
  • Coordinate Geometry
  • Problems related to above topics

Explore related topics

Course content

8 sections • 63 lectures • 5h 35m total length

  • Introduction27:55

    Review the standard form and roots of a quadratic equation. Outline solving methods, including factorization, completing the square, and the quadratic formula, noting a quadratic has at most two roots.

  • Example-11:40

    Solve two quadratic equations with imaginary roots. Derive x = ± i√2 from x^2+2=0 and x = ± i√(5/2) from x^2 = -5/4.

  • Example-26:03
  • Example-35:58
  • Example-41:40

    example-4 demonstrates solving two quadratic equations with the quadratic formula, teaching discriminants and the emergence of complex roots, namely (-1 ± i√3)/2 and (1 ± i√7)/2.

  • Example-51:39
  • Example-62:08
  • Example-74:55
  • Example-81:57
  • Example-95:04
  • Example-103:48
  • Example-115:39
  • Example-124:32
  • Example-136:36
  • Example-146:08
  • Example-157:30
  • Example-167:05

    Set up present ages x and y, form equations from two years ago and in three years, solve the quadratic, and find father's age 29 and son's age 5.

  • Equations reducible to Quadratic Form3:11
  • Example-15:06
  • Example-25:30

    Solve a rational equation by rewriting fractions as simpler forms, cross-multiplying, and solving for x, yielding x equals 9/2.

  • Example-35:20
  • Example-43:48

    Rewrite the equation as 256y^2 - 32y + 1 = 0 with y = 2^x, then solve the quadratic to get y = 1/16. Conclude 2^x = 1/16, so x = -4.

  • Example-54:31
  • Example-67:33
  • Example-72:18
  • Example-84:11

    Solve a quadratic from the equation involving square roots and reciprocal expressions, derive y from sqrt(x/(x+3)), solve 8y^2-2y-1=0, obtain y=1/2, back-substitute to x=1, discarding extraneous roots.

  • Example-94:09
  • Example-103:22

Requirements

  • Elementary knowledge of Math

Description

A-Level Pure Mathematics Paper 1: Core Topics

This course provides a focused and comprehensive review of essential topics for A-Level Pure Mathematics Paper 1. We'll dive deep into Quadratic Inequations, equipping you with the skills to solve and interpret inequalities involving quadratic expressions.

Next, you'll master Coordinate Geometry, exploring lines, circles, and other fundamental geometric concepts within the coordinate plane. Finally, we'll thoroughly cover Functions, including their properties, transformations, and applications.

To ensure a solid understanding, numerous worked examples are integrated throughout the course, illustrating key concepts and problem-solving techniques. This structured approach aims to build your confidence and proficiency, preparing you thoroughly for your Pure Mathematics Paper 1 examination.

More topics will be added after feedback from the students.

We're confident that by actively engaging with the course material, participating in discussions, and taking advantage of the resources available, you'll gain a solid foundation in A level pure maths Paper.. We wish you all the best in your academic journey!

We understand that learning can be challenging at times. That's why we encourage you to actively participate and ask questions! We have a dedicated Q&A forum where you can seek clarification and share your doubts with your instructor. Don't hesitate to ask for help – we're here to support your learning journey every step of the way.

Who this course is for:

  • Students taking (or planning to take) A-level maths.

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