CAIE IGCSE Mathematics Extended 3 Coordinate Geometry Topic Practice

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Question 1

[Maximum number: 14]

Question (a)

(a)

In the square A B C D, A has coordinates (-2,1) and B has coordinates (1,5). C has coordinates (a, b), where a and b are both positive integers.

Find the coordinates of C and the coordinates of D.
You may use the grid to help you.

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

Question (b)

(b)

P has coordinates (-1,3) and Q has coordinates (6,4).

[ 10 ]

Question (i)

(i)

Find the coordinates of the midpoint of PQ.

[ 2 ]

Question (ii)

(ii)

Find the length PQ.

[ 3 ]

Question (iii)

(iii)

Find the gradient of PQ.

[ 2 ]

Question (iv)

(iv)

Find the equation of the line parallel to PQ that crosses the x-axis at x=2.

[ 3 ]

Question 2

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

On the grid, draw the lines y=x and x+y=7.

Question 3

[Maximum number: 7]
Figure for Question 3 — CAIE IGCSE Mathematics Extended

Question (a)

(a)

Find the gradient of line l.

[ 2 ]

Question (b)

(b)

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

y=
[ 2 ]

Question (c)

(c)

Find the equation of the line that is perpendicular to line l and passes through the point (12,-7). Give your answer in the form y=m x+c.

y=
[ 3 ]
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