CAIE IGCSE Mathematics Core 3 Coordinate Geometry Topic Practice

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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 1 — CAIE IGCSE Mathematics Core

Write down the coordinates of point P.
(, )

Question 2

[Maximum number: 5]

Question (a)

(a)
Figure for Question (a) — CAIE IGCSE Mathematics Core
[ 5 ]

Question (i)

(i)

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

[ 1 ]

Question (i)

(i)

Find the equation of the line.

[ 1 ]

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 ]

Question 3

[Maximum number: 5]

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

Figure for 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 ]

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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