Chapter 3: Further Pure 1: Conic Sections 2

A-level Further MathsFurther Pure 1 & 26 topicsHigher

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Further Pure 1: Conic Sections 2: 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

FP03-1 Find the required result for Further Pure 1: Conic Sections 2. Given The ellipse

x^{2}

/25 +

y^{2}

/16 = 1 and hyperbola

x^{2}

/9 -

y^{2}

/7 = 1 are used with point P(3, 16/5) on the ellipse. Use identify foci, directrices, eccentricity and tangent equations. (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

FP03-2 Show that the ellipse has eccentricity 3/5 and foci (

\pm

3, 0) for Further Pure 1: Conic Sections 2. Start from The ellipse

x^{2}

/25 +

y^{2}

/16 = 1 and hyperbola

x^{2}

/9 -

y^{2}

/7 = 1 are used with point P(3, 16/5) on the ellipse. (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

FP03-3 Determine the requested value in this structured Further Pure 1: Conic Sections 2 problem: derive the normal at P and find where it meets the x-axis. Use the same data: The ellipse

x^{2}

/25 +

y^{2}

/16 = 1 and hyperbola

x^{2}

/9 -

y^{2}

/7 = 1 are used with point P(3, 16/5) on the ellipse. (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

FP03-4 Hence use the result the ellipse has eccentricity 3/5 and foci (

\pm

3, 0) to complete the extension for Further Pure 1: Conic Sections 2: derive the normal at P and find where it meets the x-axis. (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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2. Further Pure 1: Conic Sections 1

4. Further Pure 1: Inequalities

Key learning objectives

Understand the key principles behind Further Pure 1: Conic Sections 2.
Apply these ideas to exam-style questions.
Recall the essential definitions and key terms.