Practise

Question bank

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

12 questions

SA-4024-CG-0042 marksL1 FoundationNon-calculatorParallel

Find the equation of the line parallel to

y=2x-7

that passes through

(3,1)

Salam Academy Original Practice · Proposed mark scheme

SA-4024-CG2-0012 marksL1 FoundationCalculatorParallel

The line parallel to

y=3x+1

through

(2,4)

has equation

y=3x+c

. Find

c

Salam Academy Original Practice · Proposed mark scheme

SA-4024-CG2-0021 markL1 FoundationCalculatorPerpendicular

A line has gradient

-4

. Write down the gradient of a line perpendicular to it.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-CG2-0041 markL1 FoundationCalculatorParallel

Which line is parallel to

2y=4x+3

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SA-4024-CG-Q011 markL1 FoundationCalculatorPerpendicular

A line has gradient

\tfrac23

. A line perpendicular to it has gradient

Salam Academy Original Practice · Proposed mark scheme

SA-4024-CG-0053 marksL2 StandardNon-calculatorPerpendicular

Find the equation of the line perpendicular to

y=2x+1

that passes through

(4,3)

Salam Academy Original Practice · Proposed mark scheme

SA-4024-CG2-0033 marksL2 StandardCalculatorPerpendicular

The line perpendicular to

y=-2x+5

through

(4,1)

has equation

y=mx+c

. Find

m

and

c

Salam Academy Original Practice · Proposed mark scheme

SA-4024-CG2-0051 markL2 StandardCalculatorPerpendicular

Are the lines

y=3x+2

and

x+3y=6

perpendicular?

Salam Academy Original Practice · Proposed mark scheme

SA-4024-CG2-0062 marksL2 StandardCalculatorParallel

The line

y=kx+1

is parallel to the line

4x-2y=5

. Find

k

Salam Academy Original Practice · Proposed mark scheme

SA-4024-CG-0064 marksL3 ExamNon-calculatorPerpendicular

Find the equation of the perpendicular bisector of

A(-2,1)

and

B(4,5)

, in the form

y=mx+c

Salam Academy Original Practice · Proposed mark scheme

SA-4024-CG2-0074 marksL3 ExamCalculatorPerpendicular

A

(0,0)

and

B

(4,2)

. The perpendicular bisector of

AB

has equation

y=-2x+c

. Find

c

Salam Academy Original Practice · Proposed mark scheme

SA-4024-CG-0166 marksL4 ChallengingNon-calculatorPerpendicular

A

(1,2)

B

(7,4)

and

C

(3,8)

. (i) Find the equation of the line through

C

perpendicular to

AB

. (ii) Find the coordinates of the point where this line meets

AB

Salam Academy Original Practice · Proposed mark scheme