Chapter 4: Further Pure 1: Inequalities

A-level Further MathsFurther Pure 1 & 23 topicsHigher

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Further Pure 1: Inequalities: Edexcel Further Maths Optional Long-Answer Questions

Examiner-style long-answer practice with automatic marking, improvement advice and ProofCoach tracking.

4 questions32 marks64 min

standard / hard / synoptic

8 marksfindstandardEdexcel

FP04-1 Find the required result for Further Pure 1: Inequalities. Given Solve |2x - 5| < 7 and (x - 1)/(x + 3)

\geq

2, giving exact interval notation. Use split modulus cases and use critical values with sign testing. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 marksshow thathardEdexcel

FP04-2 Show that |2x - 5| < 7 gives -1 < x < 6 for Further Pure 1: Inequalities. Start from Solve |2x - 5| < 7 and (x - 1)/(x + 3)

\geq

2, giving exact interval notation. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 marksdeterminehardEdexcel

FP04-3 Determine the requested value in this structured Further Pure 1: Inequalities problem: combine the two solution sets on a number line. Use the same data: Solve |2x - 5| < 7 and (x - 1)/(x + 3)

\geq

2, giving exact interval notation. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 markshencesynopticEdexcel

FP04-4 Hence use the result |2x - 5| < 7 gives -1 < x < 6 to complete the extension for Further Pure 1: Inequalities: combine the two solution sets on a number line. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

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3. Further Pure 1: Conic Sections 2

5. Further Pure 1: The t-formulae

Key learning objectives

Understand the key principles behind Further Pure 1: Inequalities.
Apply these ideas to exam-style questions.
Recall the essential definitions and key terms.