IGCSE mathematics sample paper 4 & 2 practice

1


1 The diagram shows a straight line L.




(a) Find the equation of line L.




................................................... [3]

(b) Find the equation of the line perpendicular to line L that passes through (9, 3).




................................................... [3]

[Total: 6]

, 2


2




(a) Write down the co-ordinates of A.

( .................... , .................... ) [1]

(b) Find the equation of line l in the form y = mx + c.



y = ................................................... [3]

(c) Write down the equation of the line parallel to line l that passes through the point B.



................................................... [2]

(d) C is the point (8, 14).

(i) Write down the equation of the line perpendicular to line l that passes through the point C.




................................................... [3]

, 3


(ii) Calculate the length of AC.




................................................... [3]

(iii) Find the co-ordinates of the mid-point of BC.



( .................... , .................... ) [2]

[Total: 14]

3 ABCDEFGH is a regular octagon with sides of length 6 cm.
The diagram shows part of the octagon.
O is the centre of the octagon and M is the midpoint of AB.

A M B

NOT TO
SCALE



O

(a) (i) Show that angle OAM is 67.5°.




[2]