CIE IGCSE Maths: Extended

Topic Questions

IGCSEMaths: ExtendedCIETopic Questions2. Algebra & Graphs2.13 Linear Graphs

Syllabus Edition

First teaching 2021

Last exams 2024

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2.13 Linear Graphs

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1
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A straight line, l, has equation space y equals 5 x plus 12.

Write down the gradient of line l.

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2a
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Find the co-ordinates of the point where the line y equals 3 x minus 8 crosses the y-axis.
 

(........................ , ........................)

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2b
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Write down the gradient of the line y equals 3 x minus 8.

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3
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Line L is drawn on the grid below.

q3-2-13-easy-cie-igcse-maths-extended

Find the equation for the straight line L.
Give your answer in the form y space equals space m x space plus space c

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4
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On the grid, draw the graph of y space equals space 8 space minus space 2 x for values of x from negative 1 to 4

q4-2-13-easy-cie-igcse-maths-extended

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5
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The line L is shown on the grid.

q5-2-13-easy-cie-igcse-maths-extended

Find an equation for L.

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1
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A line from the point (2, 3) is perpendicular to the line y space equals 1 third x space plus space 1.
The two lines meet at the point P.

Find the coordinates of P.


( ...................... , ...................... )

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2
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A is the point left parenthesis 3 comma space 5 right parenthesis and B is the point left parenthesis 1 comma space minus 7 right parenthesis.
Find the equation of the line perpendicular to A B that passes through the point A.
Give your answer in the form y equals m x plus c.


y equals .................................................

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3
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Find the equation of the line that is perpendicular to the line y equals 2 x minus 3 and passes through the point left parenthesis 0 comma space 2 right parenthesis.

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4
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A is the point left parenthesis 2 comma space 3 right parenthesis and B is the point left parenthesis 7 comma negative 5 right parenthesis.

Find the equation of the line through A that is perpendicular to AB.
Give your answer in the form y equals m x plus c.
 

y equals....................................................

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5
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cie-igcse-2018-oct-nov-p2-tz2-q17

The diagram shows the points C(–1, 2) and D(9, 7).

Find the equation of the line perpendicular to CD that passes through the point (1, 3).
Give your answer in the form  y equals m x plus c.
 

y = ...............................................

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6
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The line PQ has equation y equals 3 x minus 8 and point P has co-ordinates (6, 10).

Find the equation of the line that passes through P and is perpendicular to PQ.
Give your answer in the form y equals m x plus c.

y equals..............................................

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7
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P is the point (16, 9) and Q is the point (22, 24).

Find the equation of the line perpendicular to PQ that passes through the point (5, 1).
Give your answer in the form y equals m x plus c.

y equals................................................

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1a
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A straight line, l, has equation y equals 5 x plus 12.

Find the coordinates of the point where line l crosses the x-axis.
 

( ....................... , ......................)

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1b
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A line perpendicular to line l has gradient k.
 
Find the value of k.
 

k equals................................................

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2
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Sketch the graph of the function.

y equals x minus 3



cie-igcse-2020-march-p2-tz2-q10a-b

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3
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Find the gradient of the line that is perpendicular to the line  2 y equals 3 plus 5 x.

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4
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Find the gradient of a line that is perpendicular to 8 y space plus space 4 x space equals space 5.

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5
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Show that the line  4 y equals 5 x minus 10  is perpendicular to the line  5 y plus 4 x equals 35.

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6
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Line L passes through the points left parenthesis 0 comma negative 3 right parenthesis and left parenthesis 6 comma 9 right parenthesis.

Find the equation of line L.

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