Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

TopicSkillDifficulty

12 questions

SA-FP-CP-0011 markL1 FoundationNon-calculatorFocus–directrix

The directrix of

y^2=8x

x=k

. Find

k

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SA-FP-CP-0021 markL1 FoundationNon-calculatorParametric forms

For

y^2=8x

, find the

y

-coordinate of the point with parameter

t=3

Salam Academy Original Practice · Proposed mark scheme

SA-FP-CP-0041 markL1 FoundationNon-calculatorParametric forms

For

xy=16

with parametric form

(4t,\frac4t)

, find

y

when

t=2

Salam Academy Original Practice · Proposed mark scheme

SA-FP-CP-G011 markL1 FoundationNon-calculatorFocus–directrix

Find the

x

-coordinate of the focus of

y^2=12x

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SA-FP-CP-Q011 markL1 FoundationNon-calculatorFocus–directrix

A parabola is the set of points

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SA-FP-CP-X011 markL1 FoundationNon-calculatorFocus–directrix

Find the

x

-coordinate of the focus of

y^2=20x

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SA-FP-CP-X021 markL1 FoundationNon-calculatorFocus–directrix

The directrix of

y^2=20x

x=k

. Find

k

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SA-FP-CP-X031 markL1 FoundationNon-calculatorParametric forms

Find the

x

-coordinate of the point with parameter

t=2

y^2=4x

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SA-FP-CP-X051 markL1 FoundationNon-calculatorParametric forms

For

xy=25

with parameters

(5t,\frac5t)

, find

y

when

t=5

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SA-FP-CP-0032 marksL2 StandardNon-calculatorTangents

Find the gradient of the tangent to

y^2=4ax

at the point with parameter

t=2

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SA-FP-CP-X042 marksL2 StandardNon-calculatorTangents

Find the gradient of the normal to

y^2=4ax

at the point with parameter

t=3

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SA-FP-CP-0053 marksL3 ExamNon-calculatorTangents

Find the

x

-intercept of the tangent to

xy=9

(3,3)

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