Practise questions · Salam Academy

SA-9709-P1-CG2-0012 marksL1 FoundationCalculatorGradients

Find the equation of the line parallel to

y=4x-1

that passes through

(2,3)

, in the form

y=mx+c

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG2-0041 markL1 FoundationCalculatorGradients

Are the lines

y=2x+1

and

x+2y=5

perpendicular?

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG2-G011 markL1 FoundationCalculatorGradients

A line has gradient

\tfrac25

. State the gradient of a line perpendicular to it.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG2-Q011 markL1 FoundationCalculatorGradients

Two lines are perpendicular. The product of their gradients is

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG2-Q021 markL1 FoundationCalculatorGradients

Which line is parallel to

y=3x+2

?

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG-Q011 markL1 FoundationCalculatorGradients

A line is perpendicular to a line with gradient

\tfrac23

. Its gradient is

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG-0024 marksL2 StandardCalculatorGradients

A

is

(-2,\,3)

and

B

is

(4,\,7)

. Find the equation of the perpendicular bisector of

AB

, in the form

y=mx+c

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG-0133 marksL2 StandardCalculatorGradients

Find the equation of the line through

(5,\,1)

that is parallel to

2x-5y=3

, in the form

y=mx+c

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG2-0022 marksL2 StandardCalculatorGradients

Find the equation of the line through

(1,4)

perpendicular to

y=-\tfrac13x+2

, in the form

y=mx+c

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG2-0033 marksL2 StandardCalculatorGradients

Find the equation of the line through

(4,1)

perpendicular to

2x+3y=6

, in the form

y=mx+c

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG2-0052 marksL2 StandardCalculatorGradients

The lines

y=kx+1

and

y=\tfrac14x

are perpendicular. Find

k

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG2-0064 marksL2 StandardCalculatorBisectors

Find the equation of the perpendicular bisector of

A(2,1)

and

B(6,9)

, in the form

y=mx+c

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG2-0082 marksL2 StandardCalculatorShapes

A(1,1)

,

B(4,5)

and

C(8,2)

form a triangle. At which vertex is there a right angle?

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG2-0074 marksL3 ExamCalculatorBisectors

Find the coordinates of the foot of the perpendicular from

P(5,5)

to the line

y=x-2

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG2-0093 marksL3 ExamCalculatorShapes

ABCD

is a parallelogram with

A(0,0)

,

B(4,2)

and

C(2,6)

. Find the coordinates of

D

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG-0155 marksL4 ChallengingCalculatorGradients

A

is

(1,\,1)

and

B

is

(7,\,3)

. The line through

A

perpendicular to

AB

meets the

y

-axis at

C

. Find the

y

-coordinate of

C

and the area of triangle

ABC

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG2-0106 marksL5 ExtensionCalculatorBisectors

A

is

(1,2)

and

B

is

(5,6)

. The perpendicular bisector of

AB

meets the

x

-axis at

P

. (i) Find the

x

-coordinate of

P

. (ii) Find the area of triangle

ABP

.

Salam Academy Original Practice · Proposed mark scheme

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