CAIE IGCSE Mathematics Core Coordinate Geometry Question Bank

Practise coordinates, gradients, straight-line equations, parallel and perpendicular lines, midpoints and distances across coordinate geometry.

Syllabus
2028–2030
Topic
3
Level
Core

Covered syllabus points

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

3. Coordinate geometry question 1

[Maximum number: 1]

The diagram shows a point P and three triangles, A, B and C, on a 1 cm21 \mathrm{~cm}^{2} grid.

Figure for Question 3. Coordinate geometry question 1 — CAIE IGCSE Mathematics Core

Write down the coordinates of point P.
(, )

3. Coordinate geometry question 2

[Maximum number: 4]

Question (a)

(a)
Figure for Question (a) — CAIE IGCSE Mathematics Core
[ 4 ]

Question (i)

(i)

The graph shows the cost, $ c, of travelling a distance, d kmd \mathrm{~km}, with Saanvi's Taxis.

Question (i)

(i)

Find the equation of the line.

Question (ii)

(ii)

Krishna's Taxis cost $ 5 to hire plus $ 2 for each kilometre travelled.

[ 4 ]

Question (i)

(i)

Find an equation for the cost, $ c, of travelling d kilometres with Krishna's Taxis.

c=
[ 2 ]

Question (ii)

(ii)

On the grid, draw a line to show the cost of travelling with Krishna's Taxis.

[ 2 ]

3. Coordinate geometry question 3

[Maximum number: 4]

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

Figure for Question 3. Coordinate geometry question 3 — 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 ]

3. Coordinate geometry question 4

[Maximum number: 2]

The grid shows a line L.

Figure for Question 3. Coordinate geometry question 4 — CAIE IGCSE Mathematics Core

Question (a)

(a)

Find the equation of line L.

Give your answer in the form y=m x+c.

y=

Question (b)

(b)

On the grid, draw the graph of y=2 x+5.

[ 1 ]

Question (c)

(c)

Write down the equation of the line that is parallel to y=2 x+5 and passes through the point (0,18).

[ 1 ]
All question bank results loaded