CAIE IGCSE Mathematics Core 3 Coordinate Geometry Topic Practice

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Covered syllabus points

C3.1 CoordinatesC3.2 Drawing linear graphsC3.3 Gradient of linear graphsC3.5 Equations of linear graphsC3.6 Parallel lines

Question 1

[Maximum number: 5]

Point A and line L are shown on the grid.

Figure for Question 1 — CAIE IGCSE Mathematics Core

Question (a)

(a)

Write down the coordinates of point A.

Figure for Question (a) — CAIE IGCSE Mathematics Core
[ 1 ]

Question (b)

(b)

On the grid, plot the point ( -2,4 ).

[ 1 ]

Question (c)

(c)

Find the equation of line L.

[ 3 ]

Question 2

[Maximum number: 3]
Figure for Question 2 — CAIE IGCSE Mathematics Core

Question (a)

(a)

Find the equation of line L in the form y=mx+c.
y=

[ 2 ]

Question (b)

(b)

On the grid, draw the line y=x.

[ 1 ]

Question 3

[Maximum number: 5]

Question (a)

(a)

The grid shows line L.

Figure for Question (a) — CAIE IGCSE Mathematics Core

Find the equation of line L in the form y=m x+c.

y=

[ 3 ]

Question (b)

(b)

Another line, R, has equation y=-3 x+5.

Find the equation of the line which is parallel to R and goes through the point (1,5).
Give your answer in the form y=m x+c.

y=

[ 2 ]

Question 4

[Maximum number: 5]

The diagram shows a line L and two points, A and B, on a grid.

Figure for Question 4 — CAIE IGCSE Mathematics Core

Question (a)

(a)

Write down the coordinates of point A.

[ 1 ]

Question (b)

(b)

Find the gradient of line L.

[ 1 ]

Question (c)

(c)

Write down the equation of line L in the form y=m x+c.

[ 2 ]

Question (d)

(d)

This line crosses the x-axis at point C.
Mark point C on the grid and write down the coordinates of point C.
(, )

[ 1 ]
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