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Contents
- Whole Topic Notes
- 4A Inequalities with Variables as Denominators
- 4B Using Graphs to Solve Inequalities
- 4C Modulus Inequalities
- Whole Topic Summary Resources (Including Past Paper Questions)
Whole Topic Notes
Download Full Topic Slides
- Textbook Notes as PPTs (Courtesy of Owen134866)
Full Notes to Accompany Slides
Dr Frost
- Dr Frost FP1 Inequalities Section
- Dr Frost FP1 Inequalities Slides
Notes
- Physics & Maths Tutor
- FP1 Ch.4 Inequalities: Cheat sheet
4A Inequalities with Variables as Denominators
Textbook resources
Tutorial Videos
Solving Fractional Inequalities (1) : ExamSolutions Maths Made Easy by ExamSolutions
4.1 Algebraic Methods (FP1 – Chapter 4: Inequalities) by Hinds Maths
Solving Fractional Inequalities (2) : ExamSolutions Maths Made Easy by ExamSolutions
A Level Further Maths by AJMaths
Dr Frost resources
No Live Lesson from Bicen Maths Yet
Download Blank Notes
Word Doc
PDF
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 763d: Solve an inequality involving a fraction with linear denominator, leading to a quadratic inequality.
- 763e: Solve an inequality involving a fraction with linear denominator, leading to a cubic inequality. (not yet active)
- 763f: Solve an inequality involving two fractions with different linear denominators, leading to a quartic inequality. (not yet active)
- 763g: Solve an inequality involving two fractions with different quadratic denominators. (not yet active)
- 763: Exam Practice: Solving cubic and quartic inequalities and inequalities involving fractions
Other resources
Alternative Handouts
Online Platform
Worksheets
- MadAsMaths (T. Madas)
- Inequalities Rational Inequalities Q1–16 (difficulty 2–4 of 5)
4B Using Graphs to Solve Inequalities
Textbook resources
Tutorial Videos
4.2 Using Graphs to Solve Inequalities (FP1 – Chapter 4: Inequalities) by Hinds Maths
A Level Further Maths by AJMaths
Solving Cubic Inequalities (1 of 3: Interpreting the graph) by Eddie Woo
Dr Frost resources
Download Blank Notes
Word Doc
PDF
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 763a: Solve inequalities given in the form f(x) > g(x) where one of the functions is quadratic and both functions are sketched. (not yet active)
- 763b: Solve inequalities given in the form f(x) > g(x) where one of the functions is cubic and both functions are sketched. (not yet active)
- 763c: Solve an inequality given in the form f(x) < 0 or f(x) > 0, where f(x) is a factorised polynomial of order 3 or higher. (not yet active)
- 763h: Use graphs to solve inequalities involving fractions with linear denominators. (not yet active)
- 763: Exam Practice: Solving cubic and quartic inequalities and inequalities involving fractions
Other resources
Alternative Handouts
Online Platform
Worksheets
- MadAsMaths (T. Madas)
- Rational Functions Q1, 4 (difficulty 3–4 of 5)
4C Modulus Inequalities
Textbook resources
Tutorial Videos
4.3 Modulus Inequalities (FP1 – Chapter 4: Inequalities) by Hinds Maths
A Level Further Maths | Further Pure 1 | Modulus Inequalities by AJMaths
AQA A-Level Further Maths D10-06 Modulus: More Examples of Solving Inequalities by TLMaths
Dr Frost resources
Download Blank Notes
Word Doc
PDF
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
Dr Frost Questions (very short)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 572f: Solve modulus inequalities involving a quadratic.
- 763i: Solve more complex inequalities involving a modulus, including the modulus of quadratic functions. (not yet active)
- 763j: Solve a < f(|x|) < b where a sketch of y = f(x) is given. (not yet active)
- 572: Exam Practice: Solving inequalities involving the modulus function
- 763: Exam Practice: Solving cubic and quartic inequalities and inequalities involving fractions
Other resources
Alternative Handouts
Online Platform
Activities
- Math = Love (Sarah Carter)
Worksheets
- MadAsMaths (T. Madas)
- Inequalities Modulus Inequalities Q1–9, 11–12 (difficulty 2–5 of 5)
- Modulus Function Exam Questions Q75, 82, 87, 96 (difficulty 5 of 5)
- Modulus Function Practice Modulus Inequalities Q1–6
Whole Topic Summary Resources (Including Past Paper Questions)
Download PPQs as WW Powerpoint for Further Pure 1 Inequalities
External Whole Topic Past Paper Style Questions
- WW Dr Frost Style QQQs (Version 1) Word Doc, PDF (Q’s Only) or PDF (Q’s & Sol.)
- WW Dr Frost Style QQQs (Version 2) Word Doc, PDF (Q’s Only) or PDF (Q’s & Sol.)
- WW Dr Frost Style Summary Sheet Word Doc, PDF (Q’s Only) or PDF (Q’s & Sol.)
Worksheets
- Mathshelper (Jon Stone)
- Physics & Maths Tutor
- FP1 Ch.4 Inequalities: Questions by topic