Practise questions · Salam Academy

SA-9709-P1-CG-0012 marksL1 FoundationCalculatorEquations

Find the equation of the line with gradient

3

passing through

(2,\,-1)

, in the form

y=mx+c

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG-0032 marksL1 FoundationCalculatorEquations

The line

L

has equation

3x+4y=12

. State the gradient of

L

and the

y

-coordinate where

L

crosses the

y

-axis.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG1-0012 marksL1 FoundationCalculatorGradient & midpoint

Find the gradient of the line through

(-3,4)

and

(5,-2)

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG1-0022 marksL1 FoundationCalculatorGradient & midpoint

Find the midpoint of

(-4,7)

and

(6,-3)

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG1-0042 marksL1 FoundationCalculatorGradient & midpoint

Find the distance between

(2,-1)

and

(8,7)

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG1-0082 marksL1 FoundationCalculatorIntersections

Find the point of intersection of the lines

2x+y=7

and

x-y=2

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG1-Q011 markL1 FoundationCalculatorEquations

The gradient of the line

y=5-3x

is

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG1-Q021 markL1 FoundationCalculatorEquations

The line through

(2,-4)

parallel to the

x

-axis has equation

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG1-Q031 markL1 FoundationCalculatorGradient & midpoint

The midpoint of

(x_1,y_1)

and

(x_2,y_2)

is

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG-G014 marksL1 FoundationCalculatorEquations

A

is

(1,\,2)

and

B

is

(5,\,10)

. Find the gradient of

AB

, the midpoint of

AB

, and the length of

AB

in exact form.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG-0043 marksL2 StandardCalculatorEquations

Find the point of intersection of the lines

y=2x-1

and

x+3y=11

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG-0143 marksL2 StandardCalculatorEquations

The distance between

P(k,\,3)

and

Q(4,\,-1)

is

5

. Find the possible values of

k

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG1-0032 marksL2 StandardCalculatorGradient & midpoint

M(3,5)

is the midpoint of

AB

, where

A

is

(1,2)

. Find the coordinates of

B

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG1-0053 marksL2 StandardCalculatorEquations

Find the equation of the line through

(1,2)

and

(4,11)

, in the form

y=mx+c

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG1-0062 marksL2 StandardCalculatorEquations

The line

y=\tfrac23x-4

can be written as

2x+by+c=0

, where

b

and

c

are integers. Find

b

and

c

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG1-0073 marksL2 StandardCalculatorIntersections

The points

(1,3)

,

(3,7)

and

(6,k)

lie on a straight line. Find

k

.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG1-0093 marksL2 StandardCalculatorIntersections

The line

y=2x+4

crosses the

x

-axis at

P

and the

y

-axis at

Q

. Find the area of triangle

OPQ

, where

O

is the origin.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P1-CG1-0105 marksL5 ExtensionCalculatorGradient & midpoint

A

is

(0,2)

and

B

is

(6,5)

. The point

C

lies on the

x

-axis and is the same distance from

A

as from

B

. Find the

x

-coordinate of

C

.

Salam Academy Original Practice · Proposed mark scheme

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